[0001] It is the purpose of the present invention to produce an intrinsically accurate and
inexpensive fuel-air metering device for internal combustion engines. The necessity
for accurate fuel-air metering to I. C. engines is well understood by those skilled
in the art. As pressures to improve engine efficiency increase and particularly as
pressures to reduce exhaust emissions become more intense, the requirements for metering
systems have become more stringent. At present, these stringent requirements are forcing
fuel-air metering systems to become more and more expensive, and are also involving
increased maintenance problems. It is extremely difficult to reproducibly program
carburetors with the accuracy required, and carburetors also have problems with lags
and with pulsating fuel flows due to air bleeds. Fuel injection systems of one sort
or another are replacing carburetors in many applications, but these units tend to
be expensive. One virtue of fuel injection systems is improved distribution of fuel
from cylinder to cylinder. However, one of the inventors has, with his colleagues
Kenneth Kriesel and Charles Siewert, invented a mixing vortex system with essentially
perfect cylinder to cylinder distribution. This mixer eliminates the distribution
advantage of multiple fuel point introduction. The present invention was worked out
to replace a conventional carburetor upstream of this vortex mixing device, and is
designed from the first principles of the fluid dynamics governing the fuel and air
flow to produce accurate and programmable fuel-air metering in an inexpensive way.
[0002] An important objective of the inventors was to work out a design which could be made
to function precisely, and with the function of the system in very close agreement
with precise mathematical formulas. A system which can be modelled precisely by straightforward
mathematical formulas has significant practical advantages, in that it requires less
development, permits rational design changes in the system to be made, and permits
the system to be straightforwardly programmed according to specified requirements.
[0003] It is important to emphasize that all fuel-air metering systems must function on
the basis of the fundamental laws of fluid mechanics. As a minimum, any fuel-air metering
device which is not a positive displacement device will have fuel governed by the
incompressible flow equation (Bernoulli's equation) and will have the air flow governed
by the compressible flow equation. These equations are exact in the same physical
sense that the basic equations of Newtonian physics are exact, and in the same sense
that the tabulated.thermodynamic functions (for instance, entropy, enthalpy, and internal
energy) are exact functions. In real systems, the mathematical equations governing
a physical event are never true to perfect exactness because of unavoidable errors
in shape or measurement, and because of physical effects hich complicate the equations
excessively. With the flow passage shapes typically used in prior art carburetors
the flow behavior of the passages generally differs by so much from the basic flow
equations that the basic equations have had limited practical value. Consequently
carburetor and other fuel-air metering devices have evolved on an empirical basis.
However, there are flow passage shapes which do in fact follow simple mathematical
flow relations with excellent accuracy; if proper care is given to geometrical shapes
the difference between mathematically predicted flow and real flow may be too small
to easily measure. The details which must be tended to to produce this close correspondence
between theory and reality are somewhat complicated, and explanation of these details
form a significant part of this application.
[0004] One of the very important objectives in designing the present invention fuel-air
metering system was to produce structures where the errors in the flow equations were
extremely small and exactly calculable, so that the system would obey the flow equations
to an extremely good level of approximation. By taking pains with the structures to
see that the fluid mechanical equations are in fact met to excellent approximation,
it is possible to have a system which can be predicted and designed reliably on the
basis of precise and straightforward mathematics. The present invention metering system
involves only the compressible flow equation for air flows, the incompressible flow
equation governing the fuel flow, and simple geometry. It is therefore a fundamentally
simpler system than that involved with injection systems using solenoid valves, and
also a much simpler system than conventional carburetors which have a multiplicity
of interlocking air-fuel control systems which interact in complex and analytically
intractable ways.
[0005] In addition to the more mathematical aspects of the metering system design, the inventors
have considered a number of practical economic and structural issues. For example,
the system is designed to be compatible with inexpensive low pressure diaphragm fuel
pumps, although it is also compatible with higher fuel pressure systems. Any system
designed to meter to high accuracy must have parts built to a similarly high level
of accuracy, but the inventors have taken pains to make sure that the parts of the
system which must be made to close tolerances can be made so by simple manufacturing
techniques. In addition, issues of durability as well as dynamic response have been
considered.
[0006] Another issue of importance is the flexibility of the system with respect to different
control strategies. The present invention is adapted to easily connect with either
conventional control via diaphragms or with electronic air/fuel ratio controls of
one sort or another. The interaction of the metering system with its control system
is in each case analytically clear and straightforward. In addition, the parts involved
in the control system can be made with relatively large absolute dimensions, so that
they can be made to high relative accuracies.
[0007] It is the purpose of this disclosure to teach one of ordinary skill in automotive
engineering to make and use the current invention fuel-air metering system. With this
end in mind, the mathematical relations involved in the metering system have been
set out formally and in considerable detail. Moreover, specific design issues relevant
to the accuracy of the fuel-air metering system in practice are addressed.
[0008] The aforedescribed objects and advantages will become more apparent when taken in
conjunction with the following detailed description and drawings illustrating by way
of example preferred embodiments of this invention.
IN THE DRAWINGS
[0009]
Figure 1 shows an air flow passage with a specially adapted butterfly valve and with
a two orifice in series air flow bypass system which generates the signal for controlling
fuel pressure drop across a fuel control valve.
Figure 2 shows the fuel flow control arrangement, including a fuel flow control valve
linked directly to the butterfly valve throttle shaft and a regulation arrangement
which sets the pressure drop across this variable orifice in proportion to the pressure
drop across the upstream orifice of the two orifice in series bypass system shown
in Figure 1.
Figure 3 shows a fuel air metering system with several of the fluid mechanical details
more clearly shown. Figure 3 is partly schematic, and shows the fuel control valve
and air throttle in different places, although both of these valves are on the same
shaft in the preferred form of the invention.
Figure 3 particularly shows the shape of the air throttle and details of the design
of the pressure regulation system.
Figure 4 shows a two orifice in series flow system in one of the preferred forms of
the invention, illustrating particularly orifice shapes having coefficients of discharge
which are insensitive to either Reynold's Number or Mach Number in the operating range
of the system.
Figure 5 is a cross-section of the fuel flow control valve which is linked directly
to the air throttle, showing details important in producing a valve which obeys the
proper geometrical equations and exhibits insensitivity of coefficient of discharge
to Reynold's Number.
Figure 5A is a sectional view taken on line AA of Figure 5, showing the upstream or
convergent portion of the valve of Figure 5.
Figure 5B is a sectional view taken along line BB of Figure 5, showing the shape of
the outlet of the valve producing very sudden expansions for minimum pressure recovery
and minimum Reynold's Number sensitivity of the valve. With the minimized pressure
recovery downstream of the valve, the flow in the downstream passages is nearly equal
to the vena contracta static pressure downstream the variable orifice of Figure 5.
Figure 6 is a view of the downstream side of the throttle plate of Figure 3, showing
a notched section for the idle air flow of the system.
Figure 7 is a plan view of the passage shown at 111 and 112 of Figure 3, showing how
the axial distribution of fuel into the high speed air stream is achieved, and how
this distribution varies as the throttle opens.
Figure 8 is analogous to Figure 4 and shows an upstream orifice arrangement where
approximately 50 percent pressure recovery is obtained downstream of the upstream
orifice. By making the diaphragm Δρ equal to the maximum Δρ of this orifice compressibility
effects which would otherwise slightly degrade the accuracy of the metering system
can be avoided.
Figure 9 shows important compressible flow relations, plotting particularly both the

ratio which shows the fraction of sonic mass flow occuring at a specific pressure
drop, and also showing the compressibility function φ2 . Figure 9 is copied from Page 197 of The Internal Combustion Engine in Theory and
Practice, Vol. 2 by Charles Fayette Taylor, MIT Press, copyright 1968.
DETAILED DESCRIPTION
[0010] In the present metering system, the exact proportioning of fuel to air is obtained
by achieving two conditions:
1. The metering system air control valve (throttle) and the fuel control valve are
on the same throttle shaft (or are otherwise positively linked) and are arranged so
that the effective flow areas of the air valve and the fuel valve stay in a fixed
proportion as both valves open and close together.
2. The fuel flow per unit effective fuel valve area is maintained in fixed proportion
to the air flow per unit effective air throttle area. This requires that the pressure
drop across the fuel valve be controlled to vary in exact proportion with the square
of the mass flow of air per unit area past the air throttle valve. This pressure regulation
is achieved by a variable restriction servo-valve which controls the pressure drop
across the linked fuel valve in proportion to the pressure drop across the upstream
orifice of a two orifice in series air flow bypass sytem.
[0011] Figures 1 and 2 show the air circuit and fuel circuit of the metering system in schematic
form.
[0012] Referring to Figure 1, a throttle plate 1 pivots on shaft 12 in an air flow passage
3. Throttle plate 1 is specially shaped with smoothly convergent surfaces and with
a vortex stabilizing contour on the upwardly pivoted side. This aerodynamic shaping
of the throttle valve is required to achieve an air throttle having a coefficient
of discharge at each opening position which is relatively insensitive to variations
in Mach Number and
Reynolds Number which occur due to variations in the pressure drop across the throttle.
This shaping is important: Conventional throttle plates exhibit variations in coefficient
of discharge of as much as 30 percent, and this variation in coefficient of discharge
is quite unacceptable in the current metering system.
[0013] A small fraction of the air flow past the carburetor passes through an air flow bypass
system which generates a pressure differential used to control the fuel pressure differential
across the fuel valve. Intake air passes into opening 4 at approximately stagnation
pressure with respect to throttle 1 and this flow is sucked past a fixed orifice 5
which discharges into a relatively open passage 6. Air from passage 6 is sucked past
fixed orifice 7 into passage 8. Passage 8 is located in a position where it is in
contact with a pressure which approximates the vena contracta static pressure downstream
of throttle 1. Orifice 7 is significantly smaller than orifice 5. The pressure drop
across orifice 5 is small, so that air flowing past orifice 5 acts as an approximately
incompressible fluid, in good analogy with the incompressible liquid fuel. Since the
pressure drop across orifice 5 is small, the pressure drop across fixed orifice 7
is almost exactly equal to the pressure drop across air throttle 1. Orifice 7 is designed
to have a coefficient of discharge insensitive to Reynolds Number and Mach Number.
The air flow past orifice 7 varies in almost exact proportion to the air flow per
unit area past air throttle 1. The air flow past orifice 5 is exactly equal to the
flow past orifice 7, and the pressure drop across orifice 5 varies to good approximation
with'the square of flow through orifice 5. The pressure drop across orifice 5 is therefore
a good signal for proportional control of fuel pressure drop across the fuel valve.
Movement of needle 9 changes the effective flow area of orifice 5, and changing this
flow area is a convenient way of changing the air fuel ratio supplied by the system.
[0014] Figure 2 shows the fuel control arrangement which includes a fuel valve opening in
proportion to the air throttle opening and a negative feedback fuel pressure drop
regulation system controlling pressure drop across this valve in proportion to the
pressure drop across air orifice 5. On the same shaft as throttle shaft 12 is slotted
shaft plug valve 12a, which rotates within a receiving passage so as to have an effective
flow area varying in precise proportion to the opening of air throttle l. In preferred
forms of the invention, this slotted shaft is on the throttle shaft, so that there
is a zero lag and extremely positive linkage between fuel valve opening and air throttle
opening.
[0015] Fuel air metering requires that the pressure drop across slotted shaft valve 12a
vary in proportion to the pressure drop across orifice 5. The pressure drop across
fuel valve 12a is varied in proportion to the pressure differential across air flow
orifice 5 by fuel pressure regulator assembly 13, 14, 15, 16. A very low friction
air piston 13 (which may have to be supported on hydrostatic bearings) is connected
on its left face to a connecting passage 22 which connectes to passage 6 at the pressure
downstream of orifice 5. On the right side of air piston 13 is the pressure upstream
of orifice 5, which is communicated by connecting passage 20. The pressure drop across
orifice 5 therefore produces a leftward force on piston 13 equal to the area of piston
13 times the pressure drop across orifice 5. This leftward force is transmitted by
a thin cylindrical connecting rod 15 to fuel control piston valve 14 which ridef in
a cylinder on essentially frictionless hydrostatic gasoline bearings. The fuel control
valve piston 14 is connected on its left side to fuel pressure upstream of fuel valve
12a by passage 21, and on its right side is connected downstream of valve 12a by passage
16; the pressure differential across the fuel valve 12a generates a rightward force
on piston 14 equal to this pressure drop times the area of piston 14. At equilibrium
the rightward force from piston 14 balances the leftward force from air piston 13;
if the system is not in equilibrium, it will tend to move axially.
[0016] Axial motion of assembly 14, 15, 13 will rapidly change the pressure drop across
piston 14, and this change will act to restore equilibrium. Axial motion of piston
14 opens and closes fuel flow area to passage 16, and the orifice forced by piston
14 and passage 16 is the only orifice in series with fuel valve 12a. Passage 16 feeds
fuel to the engine. Assembly 14, 15, 13 acts as a servo controlled valve system controlling
the pressure drop across the sleeve of piston 14 (the pressure difference between
passage 11 and passage 16). Because passage 16 is the only outlet for fuel which flows
past valve 12a, the axial position of piston 14 directly controls the pressure drop
across valve 12a, and hence the fuel flow of the metering system. If assembly 13,
15, 14 doesn't stick, piston 14 will move to an axial position producing an exact
force balance.
[0017] A force balance between fuel piston 14 and air piston 13 means that the fuel pressure
drop across fuel valve 12a is proportional to the pressure drop across air orifice
5, which is what is required to produce a set air-fuel ratio from the analog carburetor
[0018] The fuel flow control system of Figure 2 will work well if details are well handled
and if the fuel pressure supplied to passage 10 is sufficient and smooth enough. A
fuel air metering system such as that shown on Figures I and 2 has operated successfully
and with excellent accuracy on a test stand at Southwest Research Institute. The function
of the system is rather simple and straightforwardly described with exact mathematics.
Air flow past an air throttle 1 obeys to excellent approximation the standard compressible
flow equation found in engineering textbooks. The air flow throttle is positively
linked with a fuel flow valve so that the fuel flow metering area is proportional
to air throttle opening. A two orifice in series air bypass system generates a flow
signal closely proportional to the square of the mass flow per unit area past the
throttle. A negative feedback fuel regulator assembly controls fuel pressure drop
across the fuel metering valve in proportion to the signal generated in this bypass
system by regulating the flow resistance of an orifice in series with the fuel valve,
thereby varying flow until pressure drop across the fuel control valve is in balance.
[0019] The air flow relations in the air flow system shown in Figure 1 work very well, but
there are some practical problems of detail in the fuel control system shown in Figure
2. First of all, the details of valve 12a are not shown in enough detail to show how
it can have an effective flow area which varies in precise proportion to the air throttle.
There are a number of problems with the control system otherwise. Both fuel control
piston 14 and air piston 13 are prone to excessive friction and sticking. Friction
or sticking can produce significant metering errors. The pressure drop between passage
11 and passage 16 produces a sideward force between piston 14 and the cylinder in
which it rides, and this force makes the motion of 14 unacceptably sticky. It is very
difficult to produce an air piston 13 with the very low friction required of the system,
particularly if a durable system is required, and stickyness of piston 13 is also
a cause of inaccuracy. Even if the friction in pistons 14 and 13 were zero, and if
the sliding friction of connecting rod 15 was also zero, there would be an error in
the system due to a pressure imbalance across the cross sectional area of connecting
rod 15. There is also the issue of the servo mechanical stability of the servo controlled
valve formed by piston 14 and its cylinder opening to passage 16. The system is a
non-linear negative feedback servo of a sort which is susceptible to oscillation,
so that the system needs an exactly linear damping characteristic if it is to operate
accurately.
[0020] Figure 3 shows solutions to these problems and has other advantages. The air flow
passages and fuel flow passages in the metering system of Figure 3 are very closely
analogous to those of Figures 1 and 2. The air flow passages analogous to Figure 1
are as follows: throttle 42 pivots in generally rectangular passage 40 and forms a
variable area air throttle. The coefficient of discharge of air throttle 42 has been
shown experimentally to be very insensitive to Mach Number and Reynolds Number variations.
Flow from throttle 42 proceeds to downstream passage 44, and attaches in the form
of a coanda wall attached stream to this wall. Well upstream of throttle 42 is pick
up passage 46, which is shown schematically (in a proper system pick up 46 would be
in a large enough passage so that it was picking up air at upstream stagnation pressure).
Flow from 46 moves through low flow resistance passage 45 and passes through orifice
48, which is analogous to orifice 5. Downstream of orifice 48 is relatively large
passage 49, which is large enough to dissipate the velocity of flow from orifice 48
and feed a relatively homogenous air flow to downstream orifice 50, which is analogous
to orifice 7. Orifice 50 feeds passage 51 which is connected to the wall of passage
44 on which the high speed flow from air throttle 42 is attached. The downstream corner
of the connection between passage 51 and air flow passage 44 is curved at 54, so flow
from passage 51 merges smoothly with the main airflow and passage 51 contains a fluid
at a pressure very close to the downstream vena contracta static pressure of air throttle
42.
[0021] Variation of the effective open area of orifice 48 as a function of engine intake
manifold vacuum is obtained by diaphragm assembly 66, 68, 70, which moves needle 60
in response to variations in the pressure of passage 56, which passage taps passage
51. The diaphragm control for needle 60 achieves a controlled enrichment of the mixture
at low intake manifold vacuums.
[0022] Diaphragm assembly 66, 68, 70 separates two chambers, chamber 49 is at the upstream
pressure of orifice 48 and the other chamber 64 is at the downstream pressure of orifice
48. The diaphragm assembly functions analogously to piston 13 in Figure 2. Thin diaphragm
66 joins around its outside at peripheral connection 67 and is mounted on diaphragm
cup 68. Cup 68 is rigidly connected to circular rod 70 which rides in bushing 72 so
that rod 70 and bushing 72 provide axial alignment of the diaphragm assembly. The
rightward side of the diaphragm assembly is at the pressure of chamber 64 which is
connected through passage 47 to passage 45, approximately upstream throttle stagnation
pressure. On the left side of the diaphragm assembly is chamber 49, which is at the
pressure directly downstream of orifice 48. Diaphragm assembly 66, 68 produces a leftward
force on connecting rod 98 carried in bushing 99 to form part of a servo-controlled
fuel valve assembly very analogous to the assembly 14, 15 of Figure 2.
[0023] The fuel flow circuit is analogous to Figure 2, and is partly shown schematically
with details shown with respect to the fuel control servo valve arrangement. Pressurized
fuel in relatively large passage 84 is supplied by a pumping arrangement (not shown)
and fuel from 84 passes convergently into rectangular passage 82 which is closed off
by slotted plug valve 80, which is shown schematically on Figure 3 and is preferred
to be on the same shaft as the air throttle 42, in a manner further shown in Figure
5. Flow past slotted plug variable area valve 80 flows into a large expansion area
86, in a flow pattern characterized by Reynolds Number insensitivity and approximately
complete dissipation downstream flow energy by turbulence, so that the pressure in
passage 86 approximates the vena contracta static pressure directly downstream of
plug valve 80. Passage 86 is large and characterized by low fluid resistance. Passage
86 feeds passage 88, of similarly low resistance. Large passage 88 flows from a relatively
large area into a piston controlled servo valve area.
[0024] Piston 95 rides on cylinder sleeve 91. In sleeve 91 are symetrically located ports
90, which ports are arranged so that side forces on piston 95 due to pressure drops
from the pressure of passage 88 to the pressure of passage ports 90 do not produce
any net side forces tending to stick piston 95. Piston 95 has a knife edged shape
on its piston skirt, and axial motion of piston 95 in sleeve 91 moves the knife edged
skirt opening and closing ports 90 so that the interaction of piston 95 with ports
90 forms a servo controlled valve. Ports 90 feed an annular passage 92 around the
outside of sleeve 91, and passage 92 feeds passage 110. Passage 110 feeds fuel to
the airstream (and hence to the engine) via a distribution port arrangement 111, 112
described further in Figure 7. Static friction of piston 95 in cylinder sleeve 91
is further balanced by hydrostatic pressure balancing holes 93 symetrically spaced
in sleeve 91, which holes serve to center piston 95 in the manner of a hydrostatic
bearing.
[0025] Piston 95 opening and closing ports 90 is a servo controlled valve which operates
in close analogy to piston 10 of Figure 2. On the right side of piston 95 is a pressure
very near to the downstream vena contracta static pressure downstream of variable
area control valve 80. It has been found experimentally that with piston 95's skirt
knife edge as shown, the fluid motion near piston 95 has very small effects on the
pressure on this side of the piston. On the left side of piston 95 is chamber 100
which connects through a laminar filter 102 positioned in passage 101 with the pressure
at pick-up port 104. The laminar flow filter 102 (which can be conveniently formed
of a conventional cigarette filter) functions well to damp any oscillation in servo-piston
valve 95, since any axial motion of piston 95 requires that flow pass through this
filter. It turns out that damping directly proportional to the axial velocity of piston
95 is precisely what is required for error free servo mechanism performance. The laminar
flow cigarette filter provides this damping and also serves to filter small particles
which might otherwise cause piston 95 to stick in cylinder sleeve 91.
[0026] The function of the servo controlled valve assembly 91, 95, 99, 66, 68, 70 is substantially
superior to that of the system shown in Figure 2. The diaphragm arrangement has been
shown to have essentially vanishing hysterisis and static friction. Engine vibration
is sufficient to essentially eliminate static friction in connecting rod 98 and compensating
rod 70. The arrangement of ports 90 and 93 within sleeve 91 substantially eliminates
the sticking of piston 95 within the cylinder sleeve 91 if these parts are carefully
made. The assembly forms an extremely accurate negative feedback servomechanism system,
which is well damped by the laminar resistance of the cigarette filter in passage
101. This system has been shown to obey the equations which would be predicted in
a free body diagram to an exceptional degree of exactness.
[0027] It is useful in the operation of the metering system of Figure 3 to have a relatively
steady pressure in chamber 84, and yet it is commercially useful to work with cheap
diaphragm fuel pumps which produce fluctuating pressures. Air bag accumulator arrangement
115, 116, 118 is shown schematically to show how the two requirements can be satisfied
at once. Inside container 115 is relatively flexible air bag 116 which contains air
under pressure. At the connection between air bag 116 and passage 84 is mechanical
grid 118, which serves to constrain the expansion of bag 116 toward passage 84. When
pressure in passage 84 is below the air pressure in bag 116, bag 116 will expand hard
against grid 118, and the accumulator will act as though it is almost incompressible
(the rate of accumulation with pressure change will be nearly zero if pressure is
below a set air bag pressure). When the pressure in passage 84 becomes significantly
larger than this air bag set pressure, however, the bag 116 will be compressed in
pressure and will reduce in volume, so that fuel from passage 84 will flow within
container 115. Under these conditions, the accumulator bag 116 will serve very strongly
to damp out pressure fluctuations which might otherwise occur from a pulsating pump.
Many such accumulator arrangements are old, and they can be made inexpensively.
[0028] All aspects of Figure 3 analogous to the passages in Figure 1 and Figure 2 have now
been described. Figure 3 also shows a simple and effective evaporative emission control,
which closes off flow to passage 110 when the engine stops and fuel pressure in passage
84 drops. The system is intended to be used with a fuel pump arranged to leak down
pressure when the engine stops. Such a pump is not shown, although many such pumps
will occur to those skilled in the art. In the evaporative control system, a plug
carrier 120 coaxial with piston 95 carries spring-piston arrangement 124, 122, with
piston 122 slidably carried within the cylindrical passage 120 and sealed with a relatively
low friction O-ring seal 130. Piston 122 is pushed rightward by spring 124. Port 126
and thence the passage containing spring 124 is connected to an engine manifold pressure
(connection not shown). When fuel pressure in chamber 100 is at the values corresponding
to engine operation, the pressure force in chamber 100 forces piston 122 leftward
to the position shown. When, however, the engine is shut off, pressure in chamber
100 drops and spring 124 pushes piston 122 rightward, until piston 122 contacts piston
95 and pushes piston 95 to a position which fully closes ports 90 as well as ports
93. After this point fuel leakage from the system is negligible. The system therefore
controls evaporative emissions. The axial length of rod 98 and compensation rod 70
are arranged with respect to piston 95, sleeve 91, and the end of bushing 72, so that
piston 95 stops in a position which fully closes off all passages to passage 110 when
the engine is turned off. With cranking of the engine, piston 122 quickly shifts leftward
and the system meters with negative feedback servo valve assembly 95, 91, 98, 66,
68, 70 operating as previously described.
[0029] The operation of the servo controlled valve depends for its accuracy on a very low
friction, low hysteresis and low spring constant characteristic of the diaphragm 66.
We found experimentally that present art diaphragms have excessively large spring
constants and too much hysteresis for the accuracy we were attempting to get from
the metering system. However, a diaphragm shape we derived analytically has been tested
experimentally and has the exceptionally low stiffness characteristics required (stiffness
and hysteresis values more than a factor of 10 less than those characteristic of conventional
diaphragms). The shape of diaphragm 66 in Figure 3 is the shape of this diaphragm
when the diaphragm is undeformed (when the pressure drop across the diaphragm is negligibly
small). As can be seen from the figure, the shape of the diaphragm is significantly
different from conventional diaphragm shapes, and points in the diaphragm are shifted
outward radially compared to the geometric shapes which are typical of the prior art.
For example, consider point 120 on diaphragm 66. When the pressure drop across diaphragm
66 becomes significant, pressure forces will serve to change the shape of the diaphragm
so that point 120 shifts radially inward. Virtually all other points on the diaphragm
will similarly move inward radially. This means that the circumference of the diaphragm
at any point will tend to be compressed by the inward radial motion of the diaphragm
due to pressure forces, since circumference is proportional to radius. Pressure forces
therefore deform the diaphragm, putting the diaphragm membrane in a circumferential
compression. The membrane is exceptionally thin, and buckles rather than taking circumferential
compression. At first galnce, this buckling might be expected to stiffen the diaphragm
and it does stiffen the diaphragm with respect to first order bending terms. However,
the bulk of diaphragm stiffness occurs because of circumferential stretching which
occurs as the diaphragm moves axially, and the buckled form of the diaphragm shape
66 totally eliminates these circumferential stress terms, and in consequence, produces
a diaphragm which is an order of magnitude less stiff than that of prior art diaphragms.
The diaphragm shaping of 66 is useful, since it permits diaphragms to be used in devices
of much higher precision than has heretofore been possible. The resistance of diaphragm
66 to axial motion within the control range relevant to the servo control valve motion
of piston 95 is essentially negligible, so that the diaphragm serves as an effectively
zero friction piston which produces a force ideally suited for controlling servo valve
piston 95.
[0030] The detailed shape of throttle 42 is important. First it can be clearly seen that
the open area of throttle 42 varies as the angle & increases according to the formula

It should be clear that the projected open area of plug valve 80 with respect to its
generally rectangular passage should be a quite similar equation

The ki can be the same for both the fuel valve and the air valve, in which case the
projected open area of both valves will vary in exact proportion. For conventional
round butterfly valves, the air projected open area varies according to essentially
the same relation, so that for both sorts of throttle valves a close proportioning
between fuel flow valve area and air flow valve area is possible with a system which
puts both valves on the same shaft.
[0031] Referring again to throttle 42, the shape of throttle 42 is arranged specifically
so that it is very insensitive in its coefficient of discharge to variations in Mach
Number and
Reynolds Number which occur across it due to variations in the intake manifold vacuum
of the system engine downstream passage 44. On the upstream side of throttle 42 is
a smoothly convergent curve 142, which constrains the convergent streamlines upstream
of the throttle valve, tending to stabilize the coefficient of discharge of the throttle.
On the downstream side of the throttle 42 is cusp 143, which is arranged to stabilize
a parasitic vortex driven by the high speed stream past the throttle. This vortex
smoothly merges with this high speed stream and tends strongly to stabilize the shape
of the vena contracta downstream of the throttle plate independently of Mach Number.
It has been found experimentally at Southwest Research Institute that a throttle plate
like throttle 42 is essentially Mach Number and Reynolds Number insensitive for all
the manifold vacuums which occur at each angle of throttle opening. When the throttle
is nearly open, maximum Mach Numbers may not be higher than .3, while the Mach Number
range past the throttle plate will vary from Mach 1 to perhaps Mach .2 when the throttle
is more nearly closed. Shaping the air throttle for Mach and Reynolds Number insensitivity
is important for the practical performance of the present invention metering system.
For conventional flat throttle plates, the variation of coefficient of discharge with
Mach Number is around 30 percent and this variation entails an unacceptable 30 percent
variation in air fuel ratio from the metering system.
[0032] Figure 3 also shows an extremely inexpensive and exactly analytic system for enriching
the mixture under conditions of very low manifold vacuum operation. Connecting Rod
98 has one end at the pressure of chamber 88, and the other end at the typically much
lower pressure of chamber 49, so that a rightward error force is produced by con rod
98 equal to the cross sectional area of con rod 98 times the pressure difference between
chambers 88 and 49. However, connecting rod 70 is also at the pressure of chamber
88, since it communicates with chamber 88 through passage 87. There is therefore a
leftward force on connecting rod 70 equal to the cross sectional area of con rod 70
times the pressure difference between chamber 88 and chamber 64. The pressure differential
between chamber 49 and and chamber 64 is typically much smaller than the pressure
differential between either chamber and chamber 88.
[0033] If the cross sectional areas of con rod 99 and compensating rod 70 were matched,
these effects would cancel and the force on piston 95 would be very closely proportional
to the pressure drop across orifice 48. However, if compensating rod 70 has larger
diameter than connecting rod 99, as happens in Figure 3, there is an extra leftward
force due to the oversize of rod 70 and the relation between fuelΔs and air Δρ becomes
as follows:

This means

This relation is convenient, and provides an automatic enrichment of the mixture at
very low intake manifold vacuums. When the Mach Number across the air throttle and
across orifice 48 is large, the effect of con rod 70 oversize is negligible, but as
velocities past the air throttle decrease, pressure drops across orifice 48 decline
as the square, so that at low manifold vacuums the leftward force of con rod 70 becomes
significant. It can be readily arranged for the sizing of con rod 99 and compensating
rod 70 to be such as to produce significant enrichment only at very low intake manifold
vacuums (for example one inch of mercury or less). The power enrichment function which
occurs because of mismatch of diameters of rods 99 and 70 can be calculated exactly,
and is inexpensive and convenient. For applications where an extremely flat air fuel
ratio is desired over the full range of intake manifold vacuums it is of course desirable
to match the diameters of rods 99 and 70. For such a system compensating needle 60
in orifice 48 would likewise be unnecessary.
[0034] Figure 3 shows as many details of the present invention metering system as can be
readily placed in one drawing. There are details which, because of graphics, were
not shown. The pickup of upstream air at 46 and the passages feeding the air orifice
48 are too small, and the pickup at 46 will not pick up air at true upstream stagnation
pressure. This imposes an error, but one skilled in fluid mechanics can readily design
an pickup analogous to 46 which does read approximately stagnation pressure upstream
of the throttle plate. For many purposes, a pickup in the air cleaner passage (not
shown) will read an excellent approximation of upstream stagnation pressure. In this
case as in all others the difference between stagnation and static pressure becomes
insignificant as velocities become very small. An analogous argument can be made with
respect to errors in the pressure in chamber 100 due to the placement of pickup 104
in the fuel line. These errors can be very small indeed if the cross sectional area
of passage 84 is very much larger than the flow cross sectional area of the fully
opened slotted valve 80. Analogously, it is useful to have the cross sectional area
in passage 86 very much larger than the maximum cross sectional area of a fully opened
valve 80.
[0035] Figure 4 shows a two orifice in series flow system which corresponds closely to that
in a metering system developed by the inventors, and particularly shows orifice shapes
having coefficients of discharge which are insensitive to either Reynolds Number or
Mach Number change in the operating range of the system. Block 145 is provided with
chamber 146, which has a very large cross sectional area with respect to orifice 148,
which corresponds to orifice 48 in Figure 3 and orifice 5 in Figure 1. A control needle
160 partly blocks off the cross sectional area of orifice 148. Flow past orifice 148
flows into chamber 149, and it can be seen that the cross section directly downstream
of orifice 148 expands very suddenly so as to essentially eliminate pressure recovery
of the flow downstream orifice 148. The smoothly convergent shape of orifice 148,
with its large upstream passage and sudden expansion downstream produces an orifice
which has a coefficient of discharge which is extremely constant so that the mass
flow past orifice 148 obeys its theoretical flow equation to excellent accuracy. Orifice
148 is insensitive to Reynolds Number because the shape of orifice 148 constrains
the flow streamlines in a pattern which is essentially invarient over the range of
pressure drops relevant to orifice 148. The flow pattern downstream of orifice 148
is also effectively uniform over the range of flows relevant to the orifice. Chamber
149 is analogous to chamber 49 in Figure 3 and passage 6 in Figure 1. Chamber 149
is sufficiently large and sufficiently open so that the flow condition of the flow
in t.ze chamber as it approaches downstream orifice
150 is quite uniform. Orifice 150 is analogous to ori-
fi
ce 7 in Figure 1, and connects chamber 149 with chamber 151, which chamber is connected
so that it is at the static downstream pressure directly downstream of the air throttle.
The curvature of orifice 150 is also such as to produce an extreme-
ly constant coefficient of discharge, and the cross sectional area of orifice 150 is
controlled with control needle 152. Ax-
ial motion of either needle 160 or 152 will change the air fuel ratio of a metering system
connected to the flow block of Figure
4. It should be noted with respect to orifice 150 that the upstream flow is open and
cleanly converging, and the flow from orifice 150 flows into a very expanded cross
sectional area of chamber 151. Orifice 150 is designed to have a coefficient of discharge
of nearly one, which means that the minimum cross sectional area of the flow streamlines
occurs quite near the outlet plane of orifice 150 rather than farther downstream.
Orifices with coefficients of discharge nearly one and no divergent sections are automatically
insensitive to Mach Num-
ber, since compressibility effects cannot change the shape of their flow streamlines.
The shape of orifice 150 should be carefully coordinated with the relatively narrow
taper angle of needle 152 to assure that, for the range of needle axial po-
sition relevant to the system, the orifice 150 is always a con-
vergent orifice, and never becomes a convergent divergent passage because of the interaction
of the areas of the needle 152 and orifice 150. If orifice 150-152 became convergent
divergent, the flow of air past orifice 150 would depart appreciably from the compressible
flow equation for which the metering sys- t
em is designed. One can be assured of smooth convergence in a system such as orifice
150 with needle 152 if the minimum convergence angle of orifice 150 is the same as
the apex angle of needle 152. The two orifice in series system of Figure 4 has orifices
which obey theoretical flow equations to an extremely high degree of accuracy.
[0036] The function of the metering system requires that the air throttle and fuel control
valve be arranged so that the effective flow areas of the air throttle and fuel valve
stay in a fixed and programmed proportion as the air and fuel valves open and close.
Figures 5, 5A, and 5B illustrate how this is done, and show an arrangement where the
projected open flow area of the fuel valve is proportional to the projected open area
of the air throttle valve with both projected areas varying according to the simple
trigonometric equation

[0037] Referring to Figure 5, a rectangularly slotted shaft 160 rides in a closely fitted
receiver sleeve 162 having generally rectangular flow passages in it, and slotted
shaft 160 is one part of the throttle shaft which also actuates the air throttle shown
in phantom lines as 172. The flow in the fuel valve is from left to right, and surface
164 forms a smoothly convergent passage shape which will be characterized by exceptionally
thin boundary layers because of the rapid change in static pressure of the flow streamlines
as they flow towards the gap between plug slot 160 and bottom surface 166 of sleeve
162. The trigonometric relation of the opening gap area to twist angle <9 is exactly
proportional to the relation of the gap between throttle 172 and air passage surface
174 shown in phantom lines, and it is easy to arrange things so that the projected
flow area of both valves varies in exact proportion. As has already been discussed,
the shape of air throttle 172 is such that the coefficient of discharge of air throttle
172 is extremely insensitive to variations in Mach Number and Reynolds Number across
this throttle. It is required that the coefficient of discharge as a function of shaft
angle of the valve formed by 160 and 162 also be characterized by an insensitivity
of coefficient of discharge to variations in pressure drop (and hence Reynolds Number)
across this valve. Because the fuel flow valve handles an incompressible fluid, Mach
number is not relevant, but Reynolds Number ir.sensitivity matters.
[0038] The flow shaping details on the fuel valve required to achieve Reynolds Number insensitivity
and also to program the coefficeint discharge of the uel valve as a function of rotation
to the desired relation with the air valve is shown in Figures 5 with section Figure:
5A taken on section AA and Figure 5B taken on section BB. figure 5A is a view from
the inlet passage. Fuel from a relative Ly large inlet passage 179 flows into the
generally rectangular passage of sleeve 162 through rounding entrance curvature 176,
and flows through the rectangular passage until it contacts convergent surface 164,
passing through the gap between surface 166 and 164 which forms the projected flow
area of the valve. A number of issues illustrated in Figure 5A are important. First
of all, the relatively large area of the passage 179 is important. Because of this
large area, velocities in passage 179 are small, and therefore the difference between
stagnation pressures and static pressures shrinks to insignificance. The upstream
pressure tap for the fuel regulator piston assembly, for example tap 104 in Figure
3 should be in such a large section so that the pressure pickup will see pressure
closely approximating stagnation pressure at surface 164. Another important issue
is the rounded curvature of entrance surfaces 176, where the flow goes from the much
larger passage to the rectangular slot leading to surface 164. When the fuel valve
is operated at. angles which are relatively closed, the pressure drop across this
entrance section is relatively insignificant, but the pressure drop at the entrance
surfaces 176 and directly downstream of them becomes quite significant as the valve
opens. When the valve is in relatively open condition, it behaves as two orifices
in series, the first being the fixed orifice formed by curved surfaces 176 and the
second being the orifice formed for the gap between surface 166 and the end point
of surface 164 on slotted shaft 160. By changing the curvature of curved surface 176,
it is therefore possible to change the coefficient of discharge (and therefore the
effective flow area) of the valve of Figure 5 as a function of shaft rotation. This
must be done empirically, but it is relatively convenient to shape the rounded surfaces
of 176 in such a way that the coefficient of discharge of the fuel valve and the air
throttle match closely at all values of shaft angle. In the mathematical write-up
which follows the point is made that variations for pressure tap position and other
problems may be compensated by changing the ratio of coefficient of discharge between
the air valve and fuel valve in a controlled way as a function of shaft angle. It
is by changing the curvature of surfaces 176 that this may be most conveniently accomplished.
[0039] Reynolds Number insensitivity of the fuel valve also requires that the flow conditions
downstream of the valve be properly controlled. Figures 5B in combination with Figure
5 shows how this can be done conveniently. As slotted shaft 160 rotates counterclockwise
in Figure 5 the fuel valve opens and there is a gap between surface 166 and surface
164 through which fuel passes. The high velocity fuel through this gap rushes downstream,
and it is desirable to dissipate the velocity of this flow into turbulence with minimum
pressure recovery if the fuel vlave is to show optimal Reynolds Number insensitivity.
For small values of throttle opening this is almost automatic but the problem becomes
more difficult as the throttle valves open. Reynolds Number insensitivity, and minimum
pressure recovery, are achieved by the most sudden convenient expansion of the fuel
in the downstream section, and by arranging flow patterns to prevent wall attached
streams from forming. Coanda wall attached streams should be avoided since such attached
streams are conducive to larger values of pressure recovery than otherwise occur downstream
of the fuel valve. Downstream of surface 166 is cutaway surface 170 which assures
that the high velocity flow stream cannot attach to the lower wall of the downstream
passage. The high velocity jet from the fuel valve expands rapidly, and the passage
from the rectangular passage 184 to open passage 186 is also an abrupt opening conducive
to small or zero pressure recovery. In order to reduce pressure recovery further,
it is desirable that the axial width of passage 184 be increased beyond that shown
in the drawing, although this is usually not necessary for ordinary system accuracy.
With the sudden expansions, the fluid pressure in large passage 186 becomes very close
to the vena contracta static pressure for which the fuel flow equation is exactly
defined. This minimaL pressure recovery is convenient from a control point of view,
because it permits the entire fuel flow past the fuel valv,: to be used as the pressure
regulating pressure reference flo
',. Referring to Figure 3 for context, the pressure in passag: 88 and directly upstream
of piston valve 95 will be very close to the static vena contracta pressure downstream
of the fuel valye. The advantage of this will be clarified in the following mathematical
write-up. In summary, Figures 5, 5A and 5B show a fuel valve with a projected open
area which varies in precise proportion with the projected open area of the air throttle
valve, the fuel valve is bulit for an ex- tremely constant coefficient of discharge
over the range of Reynolds Numbers across which it must operate, and the shaping of
curvatures 176 in the valve permits the coefficient of discharge of the fuel valve
in relation to the air valve to be programmed as any desirable function of shaft angle
θ .
[0040] In Figures 3 and 5 side views of Mach Number insensitive rectangular air throttle
have been shown. Figure 6 shows a view of the downstream side of the throttle plate
of Figure 3, showing a notched section for the idle air flow of the system. Throttle
42 is adapted to pivot on a shaft fitting through hole 192, shown in dashed lines.
As the throttle pivots open, the open area between edge 194 and the left side of the
rectangular passage in which the air throttle pivots opens for air flow. When the
throttle is fully closed, there is still need for a minimum idle air flow and this
idle flow passes through notch 195, which is adapted to produce a stable wall attached
stream air flow downstream of the notch. This high speed stream is useful for downstream
mixing purposes.
[0041] Figure 7 is a view of the fuel input passage shown at 111 and 112 of Figure 3, showing
how the axial distribution of fuel into the high speed air stream past the air throttle
is achieved, and how this distribution varies as the throttle shaft rotates. It is
well to look first at Figure 3 to see the fuel introduction ports at 111 and the passage
112, both in the vicinity of the opening edge of air throttle 42. Figure 7 shows an
axial cut-away of this passage. The passage is characterized by a multiplicity of
holes, lll, 200, 201, 202, 203, 204 and 205. When the throttle is fully closed and
only the idle flow is passing, only hole 111 is open, and fuel from metering passage
110, shown in Figure 3, feeds directly to hole 111. Under this idle condition fuel
is therefore introduced to the very high velocity air stream past the idle slot for
distribution and atomization. Under these conditions air flows through holes 200,
201, 202, 203, 204, 205 of passage 112 so that the flow past hole 111 is a mixture
of fuel and air. Covering each of holes 200 - 205 is laminar resistance material (which
can be either of paper or of finely woven mesh) 206, which serves as a laminar resistance
element for flow past holes 200 to 205. As the throttle rotates to open position,
(depicted diagramatically by dashed lines 195, 194 in Figure 7) the throttle first
uncovers hole 200 then hole 201 then hole 202 then hole 203 then 204 and finally 205,
so that after the throttle is part way open fuel is being distributed evenly along
the axial length of throttle 42, for even introduction to the downstream passage 40
and to the engine. This smooth axial distribution of fuel into the air stream is convenient
for mixing arrangements downstream of air throttle 42.
[0042] Figure 8 is analogous to Figure 4, but shows an upstream orifice arrangement designed
to produce 50 percent pressure recovery downstream of the upstream orifice. By taking
the pressure drop across the diaphragm or piston arrangement to be equal to the maximum
pressure drop across this upstream orifice but having pressure recovery prior to the
downstream orifice this flow arrangement eliminates compressibility effects which
would otherwise slightly degrade the accuracy of the metering system. Referring to
Figure 8, chamber 245 is linked by passage 280 with the upstream pressure side 282
of a diaphragm assembly 270 used in the metering system control assembly, and the
pressure in chamber 245 is approximately stagnation pressure upstream of the air throttle.
Flow from chamber 245 passes through smoothly convergent nozzle 248, where the flow
passes into cylindrical passage 253. The ratio of orifice minimum cross sectional
diameter to the diameter of cylinder 253 is equal to .62, which is a value taken from
Fluid Meters, sixth edition, 1971, the American Society of Mechanical Engineers, New
York, New York, Page 221, the value being chosen to produce 50 percent pressure recovery.
Directly downstream of nozzle 248 is pressure tap 246, which connects to the low stream
pressure side 284 of the diaphragm, shown schematically as assembly 270. Flow from
cylindrical passage 253 proceeds to open chamber 249, which feeds downstream orifice
250. Flow past orifice 250 expands to passage 251, which is strictly analogous to
passage 151 in Figure 4, and passage 251 is at the vena con- t
racta static pressure downstream of the air throttle. The flow arrangement of Figure
8 has mathematical advantages with respect to accuracy which will be discussed in
the mathematical write-up, but this advantage is purchased at the cost of having orifice
248 a fixed orifice without a variable control needle, so that a system which would
otherwise have two control needles must work with only one if the flow arrangement
of Figure 8 is to be used.
[0043] The design issues addressed in Figures 1 - 8 involve a good deal of attention to
fluid mechanical details which permit the metering system to operate as a precision
instrument. In addition, the precision of the metering system rests on the ex- actness
of basic laws of fluid mechanics. Figure 9 shows the most important compressible flow
relations, plotting particu- larly the mass flow per unit area versus the mass flow
per unit area which would occur at sonic velocity as a function of pressure drop across
a perfect orifice. The flow relations in Fig- ure 9 are exact, and are used with precision
in the two orifice in series passage and for the flow characteristics past the air
throttle valve. Figure 9 is copied from Page 197 of The Inter- nal Combustion Engine
in Theory and Practice, Volume 2, by Charles Fayette Taylor, MIT Press, copyright
1968. The hori- zontal axis of Figure 9 is plotted in terms of two inversely related
variables, the first being Z4Pacross the orifice, and the second being the pressure
ratio across the orifice. The vertical axis plots two important functions, the first

shows the ratio of mass flow to mass flow at sonic velocity which happens at various
pressure drops. It is notable that 50 percent of the mass flow which would occur at
sonic velocity already occurs at a pressure drop of 6 percent. Also plotted is the
compressibility function φ
2 . Reference to Figure 9 may be useful on a number of occasions when considering the
mathematical analysis of the metering system, and evaluating its precision.
[0044] In the drawings, it has been shown how to produce metering elements which obey the
governing inviscid flow equations to extremely high accuracy. Referring to generally
schematic drawings 1 and 2, it has been shown how to produce an air throttle valve
with a coefficient of discharge as a function of throttle rotation which is very insensitive
to variations in pressure drop across the throttle, so that flow across the throttle
can be described by the simple isentropic flow equation. It has been shown how to
build an upstream orifice analogous to orifice 5 of Figure 1 which is characterized
by a coefficient of discharge which is Reynolds number insensitive so that the flow
equation across orifice 5 can be characterized by the simple isentropic flow equation.
It has been shown how to produce a downstream orifice analogous to orifice 7 of Figure
1 which has a coefficient of discharge insensitive to pressure drops across it, so
that flow past orifice 7 can be characterized by a simple and exact isentropic flow
equation. On the fuel side, it has been shown how to build a fuel valve with an effective
flow area varying in precise and programmed relation to the effective flow area of
the air valve, and how to make this fuel valve so that its coefficient of discharge
at each value of throttle rotation is insensitive to the variations in Reynolds Number
which occur in its operating range. Therefore the fuel valve flow characteristic can
be defined by a straightforward and exact incompressible flow equation. It has been
shown how to produce a control of the pressure drop across the variable fuel valve
which varies in precise and calculable relation with the pressure drop of an upstream
orifice analogous to orifice 5. The reason for showing these things was to build a
system which was precisely describable by exact equations.
[0045] At Southwest Research Institute we have built a fuel air metering system with fluid
mechanical details closely following the details of the drawings. We have found that
the measured flows in the system follow the flows of the theoretical equations to
high accuracy, to the point where it is often impossible to detect deviations between
theory and experiment because of the resolution limits of our (carefully made) experimental
equipment.
[0046] The following analysis makes clear the rational mathematical basis of the present
invention metering system. The analysis involves many equations, but the accuracy
with which the metering system components fit the equations is so high that the analysis
is quite reliable. The notation and analysis is done in close analogy with the analysis
of "Carburetor Flow Equations" on Pages 195-and 199 of The Internal Combustion Engine
in Theory and Practice, Volume 2, by Charles Fayette Taylor, MI
T Press, copyright 1968. The following analysis offers an excellent base for design
of our fuel air metering system. The analysis is also very useful as a guide to trouble
shooting if a metering system according to the present invention departs from the
predicted equations. By using these equations, the source of the trouble can be quickly
identified,and fixes to the trouble generally suggest themselves rapidly. The analysis
has the following list of variables, which correspond closely to those in Professor
Taylor's book:
List of Variables
[0047]
Ṁa = massflow rate of air
Mf = massflow rate of fuel
IMV = intake manifold vacuum
T = temperature
Patm = atmospheric pressure
e = throttle angle
Ai = valve area
Af = fuel valve area
Aa = air throttle area
Ci = valve discharge coefficient

= effective valve flow area at a specific valve opening angle Ai Ci is a function of throttle angle, θ.
ΔPf = fuel pressure differential across fuel valve equals stagnation pressure upstream
of valve minus static downstream of valve).
ΔPa = air pressure differential across air throttle valve (P stagnation upstream - P static downstream)= ΔPa
r =

φ =

φ is a compressibility function which constitutes the difference between the air flow
function and the fuel flow function.
p = density of air at standard sea level conditions
σ =

ratio of stagnation density upstream air throttle to standard sea level density
Ou = upstream orifice of two orifice in series airflow analogy system
Od = downstream orifice of two orifice in series airflow analogy system
n =

ratio of upstream to downstream areas in the analogy passage
[0048] The objective of a fuel-air metering system is to control air/fuel ratios as a function
of engine control variables. In notation:

To start the analysis, consider a constant air/fuel ratio:
Bernoulli's equation (the incompressible flow equation) is

The mass flow equation for a compressible fluid like air is

To get

implies

Since the groups (

) and (

) are essentially constant, let

.
Equation ⑤ then becomes

The linked air throttle and fuel valve arrangement shown in Figures 5, 5A and 5B is
one of many possible arrangements where the fuel metering orifice effective area and
the air metering orifice effective area vary in proportion to each other. For an exact
proportionality, the notation is

this means A
a C
a = K
4 A
f C
f. In the case shown in the drawings, both A
a C
a and A
f C
f vary with rotation angle θ of a shaft

.
[0049] Algebraically substituting (2) and ⑦ into ⑤ yields

Rearranging ⑧ yields the following convenient form

Both sides of Equation ⑨ are proportional to the massflow of air per unit of effective
air flow orifice area.
[0050] Squaring both sides of equation ⑨ gives

In words, Equation ⑩ says that to get a constant air/fuel ratio from a metering system
having a constant ratio of effective orifice areas between its fuel metering orifice
and its air metering orifice, it is both necessary and sufficient that the pressure
drop across the fuel metering orifice, ΔP
f, be regulated in proportion to the square of the massflow per unit effective area
past the airflow orifice.
[0051] Equation ⑩ should look familiar to anyone who knows carburetors, since a venturi
metering system has the suction of fuel into the airstream, ΔP
fv proportional to the square of massflow of air M
av divided by φ
2, with φ
2 a slowly moving function if the air venturi is large in relation to the air throttle
opening.

With a simple venturi system, both A
av C
av and
Afv C
fv are fixed, so that

are in constant ratio, in analogy with the requirements of equation ⑩. However, the
present invention metering approach has the airflow metering orifice and the fuel
flow metering orifice each varying as engine load is varied, with the ratio

held constant.
[0052] The practical advantage of this variation is very great. Consider a venturi carburetor:
if the butterfly throttle valve opening varies over a factor of 10, with engine load
controlled so the pressure drop across the butterfly is maintained constant, ΔP
fv will vary by about a factor of 100 (exactly a factor of 100 if

is to be maintained).
[0053] Because the pressure drop across the butterfly is unchanged, the massflow of air
per unit effective butterfly valve opening area is unchanged, but a 100 fold pressure
drop variation has occured in the venturi. With a system according to the current
invention, the fuel flow metering orifice would vary in proportion to the butterfly
airflow orifice, and the metering pressure drop across the fuel metering valve, ΔP
f, would not have to change at all. The lower variation of ΔP
f with the current invention is an important practical advantage, because it holds
the ΔP
f range within reasonable limits.
[0054] Fuel-air metering systems for automobiles operate over a 30:1 to 50:1 range of massflows.
For a venturi this involves ΔP
fv ranges between 900:1 and 2500:1. Accurate fuel metering over this vast pressure range
is never practical, so the carburetor requires separate idle systems, transition systems,
and full power systems, and there are metering problems as these systems turn on or
off. For a system where KA
f C
f = A C , the pressure range required for fuel metering is much a c less, by the ratio

.As intake manifold vacuum changes from 20" Hg to 1" Hg, there is less than a factor
of 3 change in massflow per unit effective butterfly valve area, so that less than
a 9-fold variation in ΔP
f is required. This smaller range is a much more practical range of ΔP
f to build hardware for, and it is therefore possible to build a metering system which
involves only one basic fuel metering circuit to handle the entire flow range of engine
requirements. The present invention also has the practical advantage that ΔP
f varies roughly with intake manifold vacuum, and so is conveniently large under the
low load conditions where auto engines operate most of the time. For a venturi system,
ΔnP
fv is very small under these same low load conditions, making precise fuel-air metering
at low loads very difficult with a carburetor.
[0055] To control fuel-air metering so that

with a system having A
a C
a = K A C
f requires that ΔP
f be regulated so that Equation 10 is satisfied.
[0056] To satisfy Equation ⑩ the pressure drop across the variable fuel valve, ΔP
f, must be varied in proportion to the square of the massflow of air per unit effectuve
open area past the air throttle valve. In the present invention this is done by producing
a signal which varies in proportion to with a specially designed two orifice in series
bypass system, and controlling ΔP
f in exact proportion to

that signal with a regulator arrangement. This regulator system will require some
detailed discussion, but at this point assume a regulator is available such that ΔP
f varies in exact proportion to pressure drop across an air diaphragm

The diaphragm can have one side connected to a chamber located between the two orifices,
with the downstream orifice 0
d connecting the chamber to static pressure downstream the air throttle and the upstream
orifice O
u connecting the chamber with the stagnation pressure upstream of the air throttle
valve. On the other side of the diaphragm is the stagnation pressure upstream of the
air throttle. With this arrangement, the pressure drop across the diaphragm is equal
to the pressure drop across the upstream orifice O
u,

Orifices O
u and 0
d are in series, and therefore, instantaneous massflow rates past the two orifices
must match at equilibrium:

Flows past O
u and 0
d each follow Equation ④

Rewriting, with the relevant subscripts for each orifice, the massflow equations are:

Compressibility effects exist for flow past both these orifices, but the importance
of compressibility effects varies greatly with the magnitude of the ΔP across the
orifice. For very small pressure drops the compressibility effects are so small that
the flow equation for air approximates the incom- p
ressible flow equation which governs the fuel flow. If the area of upstream orifice
0
u is much larger than the area of downstream orifice O
d, the great majority of the pressure drop across the system occurs across orifice
O
d. For example, if

the pressure drop across O
u is about 1% of total pressure at maximum, when the pressure drop across O
d is sonic (choked flow). It will be shown that this produces to excellent approximation
the pressure relations required to regulate ΔP
f to achieve Equation ⑩.
[0057] With

, the flow per unit area past O
d is very nearly equal to the flow per unit area past the air throttle (butterfly valve),
since the pressure drop across O
d is very close to the pressure drop across the air metering valve and

it is therefore a good approximation (the exactness of which will be shown below)
to say that flow past O
d is proportional to flow per unit effective area of the air throttle.

Since the pressure drop across O
u is at maximum about 1%, Equation ④ for orifice 0
u is, to good approximation



Algebraically substituting Equations ⑪ and ⑫ and ⑰ into

yields

Arranging constants (

= K
5K
8K
6 yields equation

Satisfaction of Equation ⑩ satisfies the requirements for ②

, the required constant air/fuel ratio.
[0058] A vital part of the preceding mathematical argument is that the two orifice in series
systems involving O
d and O
u forms a flow analogy which satisfies the flow equation

to a high degree of accuracy. Since ΔP
f is controlled by a regulator to be proportional to Δp
Ou this satisfies Equation ⑩.
[0059] The two orifice in series analogy is a very good one, and the departure of the analogy
from perfection can be calculated exactly (assuming that the pressure downstream of
O
d and the pressure upstream of O
u exactly correspond to the upstream stagnation and downstream static pressures of
the air flow throttle valve, a matter which will be dealt with later).
[0060] For very small pressure drops across the system, the compressible flow equation reduces
to the incompressible flow equation

For the very low ΔP
a case, the flow analogy is essentially perfect, as the following algebra shows if
A
ou C
ou = n A
od C
od

Since



and so the analogy is perfect in the low ΔP
a limiting case.
[0061] For the maximum ΔP
a case the analogy is imperfect, but the analogy is still a good one with errors which
can be exactly calculated. For large ΔP
a, flow past orifice O
d is sonic. Sonic velocity is proportional to

for a near perfect gas like air. For air, the Joule-Thompson coefficient is such
that the temperature change due to throttling is negligibly small for the small ΔP
past O
u. Therefore, at choked flow for 0
d the following equation holds (unless there is heat transfer within the two orifice
in series bypass svstem.

At sonic flow past O
d , Ṁ
od is exactly proportional to r
oumax so a x% pressure drop in O
u produces an x% reduction in Ṁ
od under choked (sonic flow) conditions.
[0062] However, this x% error is cut in half because of compressibility effects in orifice
O
u, as shown below.

With good design A
O C
o is really constant and 2g α p is u u constant for O
u in the range of pressure drops relevant to O. An excellent approximation is:

for small ΔP where

The excellence of approximation

is shown as follows:

The approximation greatly simplifies the algebra of the analysis, and permits us to
say that

Since MO = MO, for choked flow conditions past Od we have u d

so

[0063] This means that an n% ΔP
O introduces an error at u choked flow conditions of 1/2 n%. Evaluation of two orifice
in series flow system at r
a's between choked pressure drops and very small pressure drops shows that the error
function varies smoothly, and in an exactly calculable way, between the very low pressure
drop and choked flow extremes. Therefore, if ΔP
O is 1% of total pressure, the error in fuel-air u max metering due to the two orifice
in series analogy will be less than or equal to 1/2% for all ΔP
a values. The analogy of two orifices in series does an inherently good job of satisfying
Equation ⑩
[0064] It can be shown that the variation of f with ΔP
a (intake manifold vacuum) can be exactly filtered out if the upstream orifice O
u is an orifice option with
AP
O being u the static pressure in the orifice and with a diffuser section yielding exactly
50% pressure recovery. Figure 8 shows such a system. This is a significant potential
advantage, since it offers the opportunity of a ΔP
O signal significantly large u without degradation of the signal analogy. Provision
of a pressure recovery passage with the upstream orifice presents problems with respect
to programming the variation of air/fuel ratio as a function of engine variables because
a needle cannot be used to vary the area O
d without changing pressure recovery. Even without pressure recovery from the upstream
orifice, the two orifice in series system produces an excellent pressure signal, ΔP
O for controlling the fuel regulation system. u
[0065] In addition to inherent mathematical imperfections of the analogy system, real analogy
systems have practical problems because of the problems associated with pressure taps.
[0066] The requirement that pressure downstream of O
d and pressure upstream of O
u exactly correspond to the proper stagnation pressure upstream and static pressure
downstream of air controller butterfly valve for all values of valve shaft e is hard
to meet. For a set e , errors due to connection placements upstream and downstream
of the two orifice in series analogy system can be compensated to a high degree of
exactness by compensatory changes in coefficients of discharge. (The exactness of
this compensation can be very good for this butterfly valve system, since for normal
engine operation the range of Reynolds numbers is only about 4:1 and Reynolds numbers
are very high in any case, so long as periodic flow mode shifts, for example large
scale vortex growth and shedding, are guarded against.)
[0067] Therefore, because of imperfections in the flow connections (pressure pickups) the
ratio

will vary as a function of airflow valve shaft angle. In the high Reynolds number
limit, typical of this system,

without compensation where h(e) is an error function which may be quite small if enough
care is taken with airflow pickup positions. Error function h(e) can be compensated
out by changing Equation

to

[0068] An exactly symmetrical argument to the argument leading to Equation

can be made concerning the pressure pickups for the fuel pressure regulation system
which is required to make ⑪ P
f = K ΔP
diaphragm true. Again, the flow con- nections in the fuel system may not pick up true upstream
stagnation pressures and probably will not pick up true downstream static vena contracta
pressures. Imperfections in the fuel pressure pickups will introduce errors so that,
even with

satisfied, there will be an error function which can be expressed, since the fuel
valve and the air valve are linked, as

The proper compensation to achieve

therefore, is

[0069] This condition

can be satisfied by controlling the shape of convergent surfaces 17b shown in Figures
5 and 5A. This shaping is straightforward, and must be done empirically for each metering
system design.
[0070] So far, the problem of designing a metering system having constant air/fuel ratio
has been discussed.

However, in general it is desired to vary air/fuel ratio as some specified function
of engine operating variables. In general

M to vary a in programmed relation to engine variables M
f can be readily done by varying the ratio of areas of the two orifice in series system

= n.
[0071] It can be shown that, for airflows past the air throttle

much larger than the airflow past the analogy system, varies approximately in proportion
to n. For exact fuel-air metering requirements it is worthwhile to define the exact
relation between M
a and the sizes of orifices O
u and O
d.
[0072] A great simplification in the analysis is possible if the airflow past orifice O
d is lumped together with the airflow past the air throttle valve per se, so that

where K = r
oumax max The error involved in this simplification is small. For example, if r
oumax = .98 and A
od C
Od equal to 25% of the idle airflow, the error due to lumping the flows together is
1/4% at idle and this error declines inversely with M
a, becoming insignificant as the throttle opens.
[0073] Using this approximation it can be shown that air/fuel ratio, a varies exactly in
proportion to n when ΔP
od and ΔP
a are small (the condition which occurs at relatively wide open throttle operating
conditions).
[0074] The algebra for this low ΔP
Od case is as follows.
[0075] For low ΔP
Od, flows are nearly incompressible so
[0076] 
Since



The fuel regulator operates such that


is the low ΔP
Od case. The fuel flow equation is

In this equation, holding everything but n constant, Ṁ
f is exactly proportional to

, which shows that for the low ΔP
Od case

is exactly proportional to n. When ΔP
Od becomes large enough for important compressibility effects,

is no longer exactly proportional to n, but the approximate proportionality remains,
and the exact proportionality can be calculated exactly. It has already been shown
how to derive this error function implicitly. For any value of

there exists a ΔP
Oumax which occurs when ΔP
a and ΔP
Od are large enough to produce sonic flow past orifice O
d. If ΔP
Ou is an x% pressure drop, the system produces a ½x% reduction in Ṁ
Od and hence a ½x% increase in

over the

value for set n. Accounting for compressibility effects, therefore

where P
s is stagnation pressure upstream of the air throttle.
[0077] For values of ΔP
Ou less than DP
Oumax Equation

is still very nearly exact. For practical systems requiring precision it is easy
to hold

so the proportionality between n and

is a good one.
[0078] The foregoing analysis is very good if

is varied by changes in u C
Ou,since changing the upstream orifice has almost no effect on airflow past the downstream
orifice. Changing the area of the downstream orifice does effect the value of airflow
into the system, and the effect of this can be computed exactly by any skilled engineer
who has followed the foregoing analysis. The effect of changes in downstream orifice
area, A
Od C
Od, is most important near idle airflows.
[0079] It has been shown that air/fuel ratio, a, varies directly with the effective area
of orifice O
u,A
Ou C
Ou, and varies approximately inversely with the effective area of O
d A
Od C
Od. Control of M
a, therefore, can be achieved by varying A
Ou C
Ou, by varying A
Od C
Od, or by varying both in combination.
[0080] Orifices O
d and O
u can be built conveniently large, (with O
d large enough to pass as much as ¼ of the engine idle flow). The large size of these
orifices permits A
Ou C
Ou and A
Od C
Od to be controlled to an accuracy uncommon in fuel-air metering systems. Modulation
of A
Od C
Od or A
Ou C
Ou can be done with large shaped needles, which are also conducive to high accuracy.
It should also be clear that either orifice O
u or 0
d could be replaced by two or more orifices in parallel, for instance

In this way, several stepped needles, each set to compensate for an engine variable
and each having a limited range of authority, can be built into the two orifice in
series analogy system which regulates ΔP
f. Because of the large absolute sizes of the orifices O
u and O
d, and the simplicity of the relation

programmed modulation of orifice areas for O
d and O
u offers an excellent way of programming the system to achieve any specified

[0081] The above analysis is exact if the fluid mechanical details described in the drawings
axe properly attended to. A reasonably skilled fluid mechanical designer, preceding
with design according to the present invention, should have his system fit its basic
equations within an accuracy of roughly - one half of one percent. The designer should
also be able to quickly pinpoint troubles, and also rationally program the system.
For example, in Figure 3 connecting rod 99 and compensating rod 70 are not of the
same diameter and in consquence the air fuel ratio of the metering system will tend
to richen at very low intake manifold vacuums. The exact effect for specific values
of rod diameters should be clear, and should fit mathematics very closely. Similarly,
changing the shape of entrance curvature surfaces 176 as in Figure 5A can serve to
shift the air fuel ratio of the metering system as some systematic function of throttle
shaft angle θ.
[0082] Very exact analysis of the dynamic response of the metering system is possible. Since
the fuel valve and air valve are on the same shaft, there is no lag between fuel valve
and air valve opening, but lags do occur because it takes finite time for equilibration
to happen in the two orifice in series system and in the fuel regulator servo valve
system. The time for equilibrium in the two orifice in series air flow bypass system
is extremely fast. Typically,

response of the analogy passage occurs in approximately the time it takes for the
downstream orifice to pass the mass flow required to change the density in the volume
between the two orifices to equilibrium value. For a 1 percent change in density this
is the time it takes to pass I percent of the chamber volume between the ori- fices
past the downstream orifice. This

value can readily be held to something like five milliseconds, which is very fast
for a metering system. The equilibration time of the servo controlled fuel valve,
for example, the time for axial adjustment of piston rod 95 in Figure 3, is not so
fast as adjustment in the air bypass system itself, but can be made extremely fast.
The rate at which the fuel servo equilibrates is mostly determined by the laminar
damping coefficient of cigarette filter 102, which can be readily controlled. This
equilibration time can be tested with an arrangement which puts a quick pulse of fuel
into a passage such as 86 of Figure 3, and which then monitors the time for equilibrium
with a piezo electric crystal. The system G can readily be held below 30 milliseconds
and therefore the dynamic response to the current metering system can be exceptionally
fast. It is worth noting that with orifice sizes corresponding to diaphragm fuel pump
pressures the dynamic errors in the metering system during an acceleration are errors
from the rich side (which is the safe side) so that nothing analogous to an accelerator
pump is required by the function of the metering system curve per se.
[0083] We believe that we have now disclosed everything required to permit men skilled in
the fluid mechanical and mechanical engineering arts to produce a metering system
of simple and relatively inexpensive construction and unprecedented accuracy.
1. An air fuel metering system for an internal combustion engine including an intake
manifold,
an airflow passage feeding said intake manifold, said airflow passage having a variable
area air flow orifice valve therein,
a fuel flow passage having a variable area flow-orifice valve therein, means for controlling
in a mutually variable manner the air flow variable orifice area valve and the fuel
flow variable orifice area valve whereby the ratio of the effective areas of the air
flow orifice area to the fuel flow is maintained in approximate proportion,
means to regulate the pressure drop across the fuel orifice to be proportional to
the pressure drop across the upstream orifice of a two orifice in series air-flow
system consisting of an upstream chamber openly connected to the air pressure upstream
of the air flow orifice; an upstream orifice connecting said upstream chamber and
an intermediate chamber provided with an air pressure balancing system with one side
of said balancing system at upstream chamber pressure and the other side at an intermediate
chamber pressure and a downstream orifice connecting said intermediate chamber with
a chamber openly connected to the pressure downstream of said variable area air flow
orifice valve where the pressure drop across the variable area fuel orifice is regulated
with a feed-back fuel flow restriction control which equilibrates when pressure drop
across the fuel orifice is in proportion to the force from said air pressure balancing
system; and wherein
the variable area fuel flow orifice valve obeys the flow relation

where Af = h(Aa) (fixed exact functional relation between fuel valve area and air valve area)
where the coefficient of discharge Cf is substan-Claim 1 (cont.) tially constant over the Reynolds number range relevant
for any set Af
and where ΔPI is the fuel pressure differential across the valve at well defined pressure tap positions
and wherein
the variable area air flow orifice valve obeys. the flow relation

where Af = g (Ao) in an exact mathematical relation and where Af and AQ vary in rough proportion
where the air valve is so shaped that Ca is effectively invariant over the operating range of Mach number of the device,
where ΔPa is the difference between upstream stagnation pressure and downstream vena
contracta static pressure
and wherein the means to regulate the pressure drop across the fuel orifice to be
proprotional to the pressure drop across the upstream orifice of a two orifice in
series flow system obeys one of the following equations

or

and where ΔPou is the Δp across an upstream orifice
where the
system of two orifices in series has an upstream orifice Ou and a downstream orifice
Od
where each orifice obeys the following equation

and where Aod Cod << Aou Cou
so that ΔPou is proportional to

so that

is regulated to a constant proportion.
2. The invention as set forth in Claim I and
wherein the feed back fuel flow restriction control comprises a cylindrical fuel chamber
with a piston valve re- ciprocably carried therein, first passage means for supplying
fuel upstream of the fuel valve in communication with the one end of the piston valve,
a second passage means fluidly connecting the downstream side of the fuel valve to
the other end of the piston,
a fuel discharge passage in communication with the fuel chamber and downstream of
the fuel valve orifice and means connecting the downstream side of the air pressure
balancing system to the piston valve
whereby the Δp on the air pressure balancing system produces a force opposing the
force produced by the AP across the piston valve so that any imbalance between the
two forces causes the piston valve to move in a direction to decrease the force imbalance
by changing Δp across the fuel valve until equilibrium is reached.
3. The invention as set forth in Claim 2 and wherein the fuel discharge passage is
perpendicular to the axis of the cylindrical fuel chamber.
4. The invention as set forth in Claim 3 and wherein there are provided a plurality
of fuel discharge passages radially and symetrically spaced around the cylinder wall
so as to substantially eliminate static friction producing side forces which would
interfere with translational equilibrium.
5. The invention as set forth in Claim 2 and wherein the means connecting the piston
valve downstream side of the air pressure balancing system is a rod whereby the pressure
differential between the fuel pressure and the air pressure produces an undesirable
force and wherein a compensatory rod is connected to the other side of the air pressure
balancing system and in pressure communication with said second passage to counteract
said undesirable force.
6. The invention as set forth in Claim 1 and wherein the air flow orifice valve and
fuel flow orifice valve are on the same shaft.
7. The invention as set forth in Claim 1 and wherein said air flow orifice valve has
a coefficient of discharge C a which is insensitive to Δp variations involving substantial
changes in Mach number comprising a smoothly convergent upstream face and a downstream
face curved so as to stabilize a parasitic entrained vortex so that the merger of
the convergent flow past the valve with the downstream entrained vortex produces a
substantially constant vena contracta area and thus a constant coefficient of discharge
over the relevant engine operating Mach number range which Mach number range varies
in accordance with the air flow orifice valve opening.
8. The invention as set forth in Claim I and wherein the Reynolds number insensitive
fuel flow orifice comprises an upstream passage having smoothly convergent passage
walls to shape the convergent fuel flow streamlines, said orifice having a minimum
flow cross sectional variable area, and whereby the flow passage directly downstream
of said fuel flow orifice minimum area expands suddenly for complete detachment of
the flow streamlines downstream of the fuel flow orifice to minimize pressure recovery
from the vena contracta static pressure in said downstream passage, so that said downstream
passage pressure approximates said vena contracta static pressure.
9. The invention as set forth in Claim 1 and wherein the ratio of the mass of air
(M
A) with respect to the mass of fuel (M
f) may be varied in accordance with engine control variables by changing the ratio
of areas of the system of two orifices in series,

, by changing either the ef- fective flow cross section of the upstream orifice (σµ)
or the effective flow cross section of the downstream orifice (σδ).
10. The invention as set forth in Claim 1 and wherein the system of two orifices in
series consists of orifices which are both substantially insensitive to variations
in
Reynolds number and Mach number where each orifice obeys the following equation:
11. The invention as set forth in Claim 2 and wherein the first passage means for
fuel supply upstream of the valve is provided with a fuel passage connecting with
said one end of the piston valve and said fuel passage is provided with a fluid resistance
means to damp oscillation of the regulative feed back fuel flow restriction control.
12. The invention as set forth in Claim 11 and wherein the resistance means is a laminar
flow resistance.
13. The invention as set forth in Claim I and wherein fuel supply means is fluidly
connected to the fuel flow passage, said fuel supply means supplying fuel at a pressure
reasonably constant over short periods of the time.
14. The invention as set forth in Claim 13 and wherein the fuel supply means includes
an accumulator for damping purposes.
15. The invention as set forth in Claim 2 and wherein the feed back fuel flow restriction
control comprises a cylindrical fuel chamber with a piston valve reciprocally carried
therein, first passage means for supply fuel upstieam of the fuel valve in communication
with the one end of the piston valve, a second passage means fluidly connecting the
downstream side of the fuel valve to the other end of the piston,
a fuel discharge passage in communication with the fuel chamber, wherein the projected
pressure forces due to pressure differential between said discharge passage and the
fuel chamber are substantially perpendicular to the axis of the fuel chamber and also
with the fuel discharge passage downstream of the fuel valve orifice, and means connecting
the downstream side of the air pressure balancing system to the piston valve whereby
the ΔP on the air pressure balancing system produces a force opposing the force produced
by the 4 P across the piston valve so that any imbalance between the two forces causes
the piston valve to move in a direction to decrease the force imbalance by changing
the ΔP across the fuel valve until equilibrium is reached, and whereby said equilibrium
is insensitive to the value of the substantially perpendicular force due to the pressure
differential across said piston valve between said fuel chamber and said discharge
passage.
16. The invention as set forth in Claim 6 and wherein each valve has a geometrical
projected area responding to the equation

where K ≤ | and φ is a giem shaft angle
17. The invention as set forth in Claim 1 and wherein the air flow orifice valve and
the fuel flow orifice valve each have a geometrical projected area responding to the
equation

where K ≤ I and φ is the matched angle of rotation for each valve.
18. The invention as set forth in Claim 5 and wherein the air pressure balancing system
includes a piston-like member responsive to the pressure differential between the
fuel pressure and the air pressure said piston-like member being responsive to extremely
low pressure differences, and wherein the rod is connected to the piston-like member.
19. The invention as set forth in Claim 18 and wherein the piston-like member is a
diaphragm.
20. The invention as set forth in Claim 18 and wherein the piston-like member is a
piston.
21. The invention as set forth in Claim 5 and wherein said compensatory rod diameter
is larger than said piston valve connecting rod diameter so that said undesirable
force is overbalanced by the force of said compensatory rod whereby the feedback fuel
flow restriction control acts to enrich the fuel air mixture at low values of.4 Pa.
22. The invention as set forth in Claim 14 and wherein the accumulator does not accumulate
volume of fuel below a set minimum fuel pressure and accumulates and discharges fuel
volume readily above said minimum pressure.
23. The invention as set forth in Claim 2 and wherein the fuel discharge passage is
also connected to the air flow directly downstream of said variable area air flow
orifice.
24. The invention as set forth in Claim 23 and wherein the variable area air flow
orifice is a pivoting valve and the fuel is introduced into the high velocity stream
directly downstream of said valve.
25. The invention as set forth in Claim 24 and wherein the fuel is introduced into
the air flow directly downstream of the pivoting valve through a plurality of openings
so as to be progressively opened to the downstream side of said valve as the valve
is pivotally opened.
26. The invention as set forth in Claim 25 and wherein at least one opening is always
exposed to the downstream air flow.
27. The invention as set forth in Claim 8 and wherein the variable area fuel flow
orifice is a rotary plug valve and comprises a cylindrical sleeve apertured to cooperate
with a rotatable plug having a rectangular cutout portion registering with the opening
in said sleeve to control fuel flow and further wherein the relationship of the sleeve
aperture with respect to the plug cutout portion has a geometrically projected area
of opening responding to the equation

and is the angle of relative rotation for the valve.
28. The invention as set forth in Claim 2 and wherein means are provided to move the
piston valve to close off the fuel discharge passage where the pressure in the first
passage falls below a specific level thereby eliminating fuel evaporative emissions.
29. The invention as set forth in Claim 1 and wherein the two orifice in series air-flow
system is arranged with an upstream orifice connecting to an intermediate chamber
flow passage shaped so that a fraction of the maximum pressure drop across said upstream
orifice is recovered in said flow passage so that the stagnation pressure of the air
directly upstream of the downstream orifice is at a pressure significantly higher
than the minimum static pressure downstream of said upstream orifice in said passage
due to the pressure recovery of said intermediate chamber flow passage and where the
air pressure balancing system with one side of said balancing system at upstream chamber
pressure has connections with said intermediate chamber flow passage so that the other
side of said balancing system is at a pressure less than the stagnation pressure directly
upstream of said downstream orifice.
30. The invention as stated in Claim 29 and wherein connections between said air balancing
system and said pressure recovering intermediate chamber flow passage are arranged
so that the difference between upstream chamber pressure and stagnation pressure directly
upstream of the downstream orifice is approximately one half of the pressure difference
across said air pressure balancing system.