BACKGROUND AND OBJECTS
[0001] N0
2 is an important air pollutant. N0
2 is toxic itself and enters into the complex of chemical reactions which produce photochemical
smog. Nitrogen oxides also combine with water to form nitric acid, and contribute
significantly to the national problem of "acid rain." NO
x is formed at elevated temperature by endothermic chemical reactions which combine
nitrogen with oxygen. Equilibrium concentrations of NO, which forms before N0
2, increase rapidly with temperature, and the kinetics of NO formation is an extremely
sensitive increasing function of temperature. The basic kinetics of NO
x formation is fundamentally the same for all combustion processes, whether they occur
in reciprocating piston engines, turbine combustors, or large burners of one or another
kind. In every case, the supression of peak flame temperature can radically reduce
NO
x outputs in the combustion products.
[0002] Total NO
x outputs in the United States were estimated to be as follows in 1975 (Source: Air
Pollution, by Henry C. Perkins, McGraw-Hill Book Company, 1974, page 292):

[0003] On a world-wide basis human NO
x generation is even more dominated by large burners and other non-automotive sources,
with coal combustion constituting 50 percent of world-wide NO generation, petroleum
refining and other oil burning constituting 28 percent of NO emissions, and gasoline
combustion only accounting for 14 percent of total world-wide NO
x. (Source: Perkins op cit, page 293.)
[0004] NO
x from gasoline automobiles, which are the dominant mobile NO source, can be greatly
reduced. For example, the engine design of Automotive Engine Associates described
in Patent #4,344,394, "High Swirl Very Low Pollution Piston Engine Employing Optimizable
Vorticity", permits NO emissions from gasoline automobiles to be reduced by more than
a factor of ten. NO emissions from other sources have not been reduced by anything
like the same proportion, so in the future it is likely that the NO
x emissions represented by electric utilities, pipelines and gas plants, and industrial
burners will become an increasing percentage of total NO
x emissions. In recognition of this, control agencies are tightening NO
x control requirements for these non-automotive sources. The control technology which
presently exists for NO
x control from power plants and the other large NO
x sources is expensive and unsatisfactory. It is the purpose of the present invention
to produce an inexpensive and very effective means of controlling
NOx from these large sources.
[0005] The NO formation process in flames and post-flame gases depends intimately on the
temperature-pressure-time history of the individual product of combustion elements.
Total NO output from a burner is the integrated NO output from the individual elements.
In heterogeneous combustion systems, concentration of NO may vary from element to
element within a burner by as much as a factor of 1,000 because NO kinetics is such
a strong function of chemical species concentrations. Although the kinetics of NO
formation is conceptually clear, the computational difficulties of analyzing NO formation
in heterogeneous combustion systems are great. Conceptually, it is much easier to
think about NO formation in homogeneous combustion systems.
[0006] A good description of the kinetics of the NO
x formation process in flames is described in Perkins, op cit, pages 302-308. The kinetics
there described is well-established in the scientific sense, and it is clear that
rates of NO formation and equilibrium NO
x concentrations increase very rapidly as temperature increases. Table 12.9 from page
306 of Perkins shows this relation, and is reproduced below.

[0007] Time to form 500 parts per million NO is very temperature sensitive. Reducing temperature
from 3600°F to 2800°F cuts the rate of NO formation 138- fold. A 400°F drop from 3600°F
to 3200°F cuts rates by a factor of 9.4. A 400°F drop from 3200°F to 2800°F cuts rates
14.7-fold. A further 400°F drop from 2800°F cuts rates by a factor of 84.6. For different
oxygen percentages (different air/fuel ratios) the trends of NO formation with temperature
are similar. Formation rates also go as the square of species concentrations, and
chemical equilibria vary with concentration (pressure) in a way which should be familiar
to those who have studied chemical kinetics.
[0008] As the fuel/air ratio of a combustible element changes, the NO
x formed from its combustion products will change because changing air/fuel ratio varies
peak flame temperature (since it varies the energy of the fuel available to raise
the temperature of the fuel and air atoms' mass) and because changing air/fuel ratio
changes oxygen available to combine with nitrogen. As will be made clear in the drawings,
the temperature effect is typically more important than the oxygen availability effect.
So long as an element of combustible mixture is locally homogeneous, its NO formation
behavior will be straightforwardly described by chemical kinetics calculations. If
a mixture of fuel and air is heterogeneous, with many elements at many different air/fuel
ratios, the conceptual process of NO formation is the same but the arithmetic difficulties
of integrating NO
x effects which differ from element to element are formidable.
[0009] Complete mixing to molecular scales of fluids is quite difficult, and the difficulty
of mixing becomes greater as the geometric scale of the mixer or burner increases.
For this reason, the industrial designs which produce combustion on a large scale
are heterogeneous. Combustion in electrical power plants is heterogeneous when natural
gas is burned, yet more heterogeneous for oil-fired plants, and more heterogeneous
still for coal-burning plants. The same can be said for large industrial burners.
[0010] Both power plants and large industrial burners are applications where fuel economy
is important, and the need to minimize stack heat losses [stack loss equals M.C
P(T-T
ambient)] constrains the overall operation of the burners to
air/fuel ratios having just enough excess air to complete combustion under the mixing conditions
in the burner. Minimum excess air is required to minimize massflow, M, up the stack.
NO control from these large burners cannot, therefore, involve variations in air/fuel
ratio without significant fuel penalties.
[0011] The other large sources of NO
x also do not permit variation of air/fuel ratio for NO
x control. Nitric oxide generated in pipelines is generated in the heterogeneous can
combustors of stationary turbine engines or in the heterogeneous combustion processes
happening in the very large and badly mixed natural gas reciprocating engines used
to drive pumps. For both the turbine and reciprocating pump engines, load control
is largely achieved by variations in air/fuel ratio. These systems are both so heterogeneous
in their mixing processes that they would- have many zones producing NO at a maximum
rate regardless of the overall air/fuel ratio of operation which might be chosen.
[0012] Diesel engines, some of which are mobile and some of which are stationary, also achieve
load control by variation in fuel input, and are also inescapably heterogeneous because
fuel is sprayed into combustion air only a few milliseconds before combustion initiates,
making homogeneity at the level relevant to chemical kinetics impossible.
[0013] The inventor has spent the last decade working to control mixing and chemical concentrations
to radically reduce NO formation in the flames which occur in spark-fired, internal
combustion engines. The work done by the inventor, (largely described in Patent #4,344,934),
shows that complete micro- scale and large-scale homogeneity of fuel, air and residual
gas produces radical (as much as 1,000-fold) reductions in NOR. These NO reductions
fit closely the theoretical predictions of chemical kinetics. It should be emphasized
that the physical scale on which combustion and the NO forming chemical reactions
occur is of the order of molecular mean free paths or at most localities in the size
range of a few cubic microns. The chemistry occuring in these tiny volumes should
not vary with the container in which these tiny volumes occur. There is every reason
to believe that the chemical kinetics of NO formation is as valid in a hundred megawatt
power plant as in a small reciprocating piston engine. If the mixing state of the
individual elements which burn can be well-described, kinetics should accurately predict
NO formation rates.
[0014] NO formation from non-mobile sources is dominated by heterogeneous combustion processes.
Fuel/air ratio varies radically from place to place within the burner, and temperature-pressure-time
trajectories which determine NO formation vary accordingly. However, it is still possible
to radically control NO formation in these heterogeneous combustion processes.
[0015] The approach is simply stated. If some of the products of combustion, after doing
work on turbines or passing through heat exchanger tubes, are recirculated into the
intake air and perfectly mixed with this air prior to introduction of the EGR-air
mixture to the burner, peak flame temperatures in the burner will be lowered for every
element of fuel/air mixture burned because every element of fuel/air mixture will
have the same ratio of diluent to air, and this EGR diluent, because of its specific
heat and mass, will suppress peak flame temperatures. This lowering of peak combustion
temperatures will occur in every element to be burned regardless of the details of
the fuel-oxidizer mixing process in the burner. Because NO formation rates are temperature
sensitive, this lowering of combustion temperatures will reduce NO output. The magnitude
of the NO reduction can be very large.
[0016] It should be noted that exhaust gas recirculation percentage does not change the
stack losses and efficiency of a powerplant or large burner so long as stack gas temperature
does not change, since EGR does not change mass flow M out the stack. EGR is also
compatible with the operation of large reciprocating piston natural gas engines, turbine
combustors, and diesels. From a combustion point of view, the better mixed the EGR
is with the rest of the air, the more EGR can be tolerated.
[0017] The idea of exhaust gas recirculation for NO control is not new. EGR equipment has
been installed in power plants, stationary burners, stationary turbines and large
reciprocating natural gas engines pumping for natural gas pipelines, and diesel engines
for many years. However, the NO suppression , results achieved with these devices
have been radically less than those which could have been achieved with the same exhaust
recycle percentages if the EGR was homogeneously mixed with the rest of the air.
[0018] The theoretical advantages of EGR have been long known. In the figures, kinetics
calculation results from Bartok (Exxon Research) are shown indicating a 90 percent
NO reduction, with 10 percent exhaust gas recirculation, for a homogeneous combustor
case. The same sort of calculation would indicate a 98 percent reduction for 20 percent
exhaust recirculation. However, 20 percent exhaust gas recirculation, mixed conventionally,
has been used in many power plant burners. In these burners, the EGR only cuts NO
x output in half.
[0019] The disparity between NO reductions available in theory and those obtained in large
scale burners is due to bad EGR-air mixing. However, efforts to control NO
x with EGR have taken low priority in industry, and extremely expensive schemes for
catalytic reduction of NO
x, some of them involving capital expenditures of billions of dollars, are being actively
pursued. This is happening because the vital importance of EGR-air mixing to the NO
x reductions obtained has not been understood.
[0020] In addition, mixing fluid mechanics is a difficult business, and mixing sections
capable of producing the required large-scale, middle-scale and micro-scale homogeneity
of air and EGR have not been available. The efforts of the inventor to produce practical
and rapid mixing using controlled flow structures make it possible now to build such
mixing sections practically. The basic structured turbulent flow mixing process has
been worked out and tested on reciprocating spark-fired engines, but can be scaled-up
readily to the sizes required for large stationary burners.
[0021] It is important to realize how difficult complete mixing is, and how unsatisfactory
conventional mixing techniques are in industry. Moreover, it is important to realize
that the current state of engineering and fluid mechanical knowledge concerning the
detailed processes required to achieve complete mixing is in a primitive state. Insights
into the structure of turbulence and recognition of the importance of the problem
now make mixing an important and accessable research problem in fluid mechanics. For
instance, a team of researchers including professors S. J. Kline, B. J. Cantwell,
and L. Heselink at Stanford University are now (1983) initiating a major effort to
study mixing in jets and in structured flow sections such as the one worked out by
the inventor.
[0022] It is the purpose of the present invention to show how homogeneous mixing of EGR
with air can practically suppress NO
x, and to describe a structured turbulent flow vortex mixing process which achieves
the required homogenization of air and EGR. The air-EGR mixing technique can readily
be applied to existing burners to radically suppress NO formation at a relatively
low cost. The mixing flow patterns are high Reynolds numbers flow patterns which scale
readily up to very large sizes. NO control via homogeneous air-EGR mixing is applicable
to diesel engine combustion, the combustion of large natural gas reciprocating engines,
the combustion in the cans of stationary turbines, and the combustion process in natural
gas, oil, or coal burners of large scale.
IN THE DRAWINGS
[0023]
Figure 1 shows typical NO - temperature profiles predicted by a mathematical model
showing the effects of two-stage combustion and flue gas recirculation on a homogeneous
burner (Source: Bartok et al, Exxon Research and Engineering Company, page 312 of
Air Pollution, Henry C. Perkins, McGraw-Hill Book Company, 1974). The figure shows
that the model predicted approximately a ten-fold reduction in nitric oxide output
with the moderate EGR percentage of ten percent, on the assumption that fuel, air
and EGR were homogeneously mixed prior to combustion.
Figure 2 illustrates the effect of fuel/air equivalence ratio on NOx output for three levels of exhaust gas recirculation for an internal combustion engine.
(Source: "Nitric Oxide Emissions from Stratified Charge Engines: Prediction and Control"
by Paul N. Blumberg, Ford Motor Company, which was released to a Combustion Institute
meeting in Urbana, Illinois in March 1973.) The figure is for a homogeneous charge
spark-fired engine, but shows the general result that the NO vs. air/fuel ratio curve
shifts downward rapidly with increasing EGR. For a burner at atmospheric pressure,
the-NO curve for homogeneous combustion roughly corresponds to the twenty percent
EGR curve of Figure 2.
Figure 3 illustrates the radical reductions in NOx output possible with complete homogeneous combustion in a spark-fired engine built
according to "High Swirl Very Low Piston Engine Employing Optimizable Vorticity,"
patent #4,344,394. The 1000:1 range on NOx output illustrates the extreme sensitivity of NOx output to equivalence ratio. The data illustrated are strongly consistent with the
conventional kinetics mathematical models of NOx formation, which also apply to other combustion systems.
Figure 4 shows the extreme lumpiness of conventional jet mixing in a photograph where
a laser-induced florescence illuminates a planar cut across a turbulent mixing jet.
(Source: Dimotakis, Lye and Papantoniou 1981 reproduced from page 97 of An Album of
Fluid Motion, assembled by Milton Van Dyke, Parabolic Press, Stanford, California
1982.) The lumpiness of mixing illustrated in the photograph is characteristic of
the jet mixing process which is the basic mixing process in virtually all current
combustors and all present commmerical turbulent mixing sections. It has been commonly
believed that flow through a mixing jet such as that illustrated by Dimotakis et al
produces homogeniety down to microscales. This is clearly not true, and a more organized
mixing process is required to produce large-scale, middle-scale and micro-scale homogeniety
of EGR and air.
Figure 5 shows a sketch of a mixing section of the inventor's covered by patent #4,318,386
showing a mixing section which produces an irrotational vortex mean flow pattern which
is not characterized by the lumpiness illustrated in Figure 4 and which produces an
organized folding together of mixants with random diffusion occuring only on relatively
fine scales, to produce mixing rates much faster than those previously thought possible.
The vortex mixer illustrated has been successfully used in an internal combustion
engine and was on the engine which produced the NO curve of Figure 3 with the radical
NO reduction illustrated in that figure.
Figures 6, 7, 8, 9, 10, 11, 12 and 12a illustrate the vortex flow pattern useful for
mixing and illustrates the fundamental argument of structured turbulent flow mixing.
Figures 6 - 12a are also Figures 6 - 12a in Patent #4,318,386 by the present inventor
with K. W. Kriesel and C. L. Siewert.
Figures 13 and 15 show a vortex mixer which can be scaled to the size required for
very large burners, which arranges multiple introduction points of EGR and air, and
which is designed to utilize buoyancy instability due to density differences between
the relatively warm EGR and the relatively cold air to assist the folding together
of the mixants. The vortex mixers shown in Figures 13 and 15 can be scaled up to very large
sizes, since they are high Reynolds number devices dependent fundamentally upon inertial
effects in fluid mechanics. The multiple mixant introduction vortex in Figures 13
and 15 can, with relatively low pressure losses, mix EGR with air down to very fine scales, so that the microscale or molecular scale mixing
of air and EGR can be quite homogeneous by the time the air EGR mixture is introduced
into a burner. If this is done, very large reductions of NOx from a heterogeneous combustion process are possible.
Figure 14 illustrates an air-EGR mixer with single inlets of air and EGR but with
flows arranged for buoyancy instability mixing. The design is applicable to relatively
smaller air-EGR mixers.
Figure 16 illustrates the use of vortex mixed ultra-homogeneous EGR air mixers on
a power plant burner system. The EGR supply to the burner shown schematically in Figure
16 is equally applicable to coal-fired, oil-fired or natural gas-fired burners, and
applies to large industrial burners of all kinds. For large installations, a mixer
analagous to Figure 13, rather than the simpler Figure 14 shown schematically, would
be used.
Figure 17 is a schematic of hardware to supply vortex-mixed homogeneous EGR air mixtures
to the intake air of a stationary turbine. The arrangement shown in Figure 17 is capable
of radically reducing NOx outputs from such stationary turbines. For large installations, a mixer analagous
to Figure 13, rather than the simpler Figure 14 mixer shown schematically, would be
used.
Figure 18 shows a schematic of a vortex EGR-air mixer supplying an air-EGR mixture
to a diesel engine. This method of NOx suppression is effective for large NOx reduction in both stationary and automotive diesels, and makes possible much larger
NO reductions per unit EGR input than are presently possible. Details of the EGR-air
mixer not shown in the schematic would vary with installation size.
DETAILED DISCUSSION
[0024] Figure 1 shows typical NO
x profiles predicted by a mathematical model showing the effects of two-stage combustion
and flue gas recirculation on a homogeneous burner (Source: Bartok et. al., Exxon
Research and Engineering, 1969, page 312 of Air Pollution, Henry C. Perkins, McGraw-Hill
Book Company, 1974). The figure shows that Bartok's model predicted approximately
a ten-fold reduction in nitric oxide output with a very moderate ten percent EGR percentage,
on the assumption that fuel, air, and EGR were homogeneously mixed prior to combustion.
The kinetic results predicted in Bartok's model are quite reasonable, but are very
different from those obtained with EGR in industrial practice on large burners. A
great many large power plant burners are already operating with EGR percentages of
ten or more percent (often up ta the 20 percent level). These EGR percentages according
to conventional kinetics modeling, should produce very large NO output reductions.
Something like a fifty-fold reduction in NO should be possible with 20 percent EGR
if the EGR were homogeneously mixed with the intake air feeding the burner. Because
air and EGR are not completely mixed, the results obtained with EGR are much worse
in practice than those predicted kinetically. For example, in Table 12.11 of Perkin's
page 313, op. cit. a result is shown where a 320 megawatt power plant burner was equipped
with twenty percent EGR, and NO
x concentrations fell only from 350 parts per million to 150 parts per million. Kinetics
calculations indicate that NO output from this burner could have been reduced another
factor of twenty-five downwards from the 150 parts per million number if the twenty
percent EGR in the system had been well mixed with the intake air. In addition, heterogeneity
of EGR with the air means not only that there are signficant parts of the air stream
which are relatively poor in EGR, it also means that there will be lumps of air EGR
mixture that have concentrations of EGR much higher than twenty percent. Those familiar
with flame stability limits will recognize that these very high EGR percentages may
cause combustion difficulties, delaying CO burnout and requiring larger excess air
percentages (with attendant stack heat losses) than would be possible with homogeneous
air-EGR mixing.
[0025] The results shown in Figure 1 are for kinetic calculations which assume fuel/air
homogeneity and air EGR homogeniety. It is possible to produce homogeneity of air
and EGR according to the present invention, but even so the air and EGR mixture will
be used in heterogeneous combustion where local air/fuel ratios will vary within the
burner. Figure 2 illustrates the effect of fuel/air ratio variation on NO output for
three levels of homogeneously mixed exhaust gas and air. The figure is taken from
a computation applied to an internal combustion engine, but is directly relevant to
the non-automotive cases. (Source: "Nitric Oxide Emissions from Stratified Charge
Engines: Prediction and Control," by Paul N. Blumberg, Ford Motor Company, which was
presented at a Combustion Institute meeting in Urbana, Illinois, March 1973.) The
figures show the general result that the NO vs. fuel/air ratio curve shifts down rapidly
with increasing EGR (EGR and air are assumed to be homogeneously mixed for the calculation).
Figure 2 applies to an internal combustion engine where adiabatic compression increases
flame temperatures. For a burner at atmospheric pressure, temperatures are less and
the NO curve for homogeneous combustion shifts downward. For a burner at atmospheric
pressure the NO
x curve for homogeneous combustion roughly corresponds to the twenty percent EGR curve
of Figure 2.
[0026] Chemical kinetics calculations frequently predict that very large reductions in NO
output are possible for combustion systems. Since experimental results (usually with
bad mixing) often show smaller reductions, the relevance of chemical kinetics to NO
formation is sometimes doubted. Figure 3 illustrates the radical reductions in NO
x output possible with complete homogeneous combustion in a spark-fired engine built
according to "High Swirl Very Low Pollution Piston Engine Employing Optimizable Vorticity,"
patent #4,344,394). The 1000:1 range of NO
x output illustrates the extreme sensitivity of NO
x output to equivalence ratio in this case, where homogeneous mixing was nearly achieved.
The data illustrated are strongly consistant with the conventional kinetics mathematical
models of NO formation, which also apply to other combustion systems. It is the strong
opinion of the inventor that deviations of NO output from those predicted by kinetics
are almost always the results of mixing imperfections which cause the real combustion
system to deviate from the homogeneous assumptions of the kinetics calculations. Because
NO
x output of a combustion element can vary by 1000:1 or more depending upon its stoichiometry
and EGR percentage (which determine the temperature-pressure-time history which forms
the NO
x) mixing imperfections can radically change NO
x concentrations from those possible with complete mixing. - The NO
x penalty which occurs because of heterogeneity of the air EGR mix supplying a combustion
system is very large, and this large penalty is wholely consistant with the kinetic
theory of NO formation. The quality of mixing of air and EGR in current combustion
systems is extremely imperfect in practice. An understanding of how lumpy the mixing
process is requires an insight into the lumpiness of the turbulent jet mixing process
which is the dominant mixing process in air EGR mixing and other industrial mixing
processes.
[0027] Figure 4 shows the extreme lumpiness of conventional jet mixing in a flow visualization
photograph of with a laser induced fluorescence illuminating a planar cut across a
turbulent mixing jet (Source: Dimotakis, Lye & Papantoniou 1981, reproduced from page
97 of An Album of Fluid Motion, assembled by Milton Van Dyke, Parabolic Press, Stanford,
California, 1982). The visualization process of Dimotakis, et. al. makes extremely
clear the degree of heterogeneity in the jet, which was much less clear prior to their
efforts in 1981. A fluorescently dyed water jet is injected into a relatively quiescent
mass of water, and a plane of laser light illuminates the fluorescent material which
is photographed.at right angles to show a planar cut showing the details of concentrations
and flow structure in the jet as the jet flows downward. The planar cut shown is centered
on the jet, but like levels of heterogeneity occur at other sectional cuts. The flow
in the jet becomes turbulent and unstable, shortly downstream of its ejection, and
breaks up into topologically complex vortex sheets and flow patterns. These flow patterns
are random in a sense, but have significant degrees of short-term structure. Observing
the differences in concentrations shown in the paragraph, it is clear that even thirty
or more diameters downstream from the jet nozzle concentration variations in the jet
of 100:1 or more still persist. At the visual scale of the photograph, the jet is
extremely heterogeneous everywhere. Even many hundreds of diameters downstream from
such a jet, the degree of heterogeneity on the tiny scales relevant to chemical kinetics
is very great, and there is nothing like an approach to statistical uniformity of
concentrations from microscale control volume to microscale control volume. The extreme
lumpiness illustrated by the photograph of Dimotakis, et. al. is of more than academic
interest. The lumpiness of mixing illustrated in the photograph is characteristic
of the jet mixing process which is the basic mixing process in virtually all current
combustors and all current commerical mixing sections. In the past it has been commonly
believed that a mixture twenty or more diameters downstream of the issue of a jet
in a fully turbulent flow would be quite homogeneous. In industry, it is often felt
that a turbulent flow assures complete mixing in relatively short distances, and the
issue of microscale homogeneity has been either not understood or has been taken for
granted. The photograph of Dimotakis-, et. al., makes clear that the conventional
jet mixing process is lumpy and is a relatively slow way of mixing two fluids. For
fundamental reasons, the difficulty of mixing in a jet (or any other geometry) increases
with the linear scale of the jet, so that the mixing processes in a large combustion
system are intrinsically harder than those in a smaller one. Conventional jet mixing
is not satisfactory for producing homogeneous air EGR mixtures with reasonable pressure
drops in reasonable spaces. To produce the rapid and complete mixing of EGR and air
required, a more organized mixing process than jet mixing is required to produce large-scale,
middle-scale and microscale homogeneity of EGR and air.
[0028] Figure 5 shows a sketch of a mixing section of the inventor's covered by patent #4,318,386
showing a mixing section which produces such an organized mixing process. The mixing
section-illustrated in Figure 5 was designed for an internal combustion engine. The
flow pattern within the central chamber 3 of Figure 5 is an irrotational vortex mean
flow pattern which is not characterized by the lumpiness illustrated in Figure 2 and
which produces an organized folding together of mixants with random diffusion occurring
only on relatively fine scales to produce mixing rates much faster than those previously
thought possible. The vortex mixer illustrated has been successfully used in an internal
combustion engine and was on the engine which produced the NO
x curve for gasoline shown in Figure 3, with the radical NO
x reduction illustrated in that figure. The homogeneity produced by the vortex shown
in Figure 5 is not perfect, but it is much more complete than that in prior art mixing
sections applied to engines. The improved mixture homogeneity greatly widened the
limits of stable engine operation and permitted radical reductions in NO
x, analogous to the reductions in NO possible with perfect mixing of EGR and air in
large burners.
[0029] See Figure 5. A generally rectangular throttle plate 1 is in rectangular section
2 and feeds a vortex mixing chamber 3. High speed flow, in the form of wall attached
jets, enters tangentially into the vortex mixing section at 6 and 7, and swirls around
the outlet 4 in a flow field which is turbulent, but which has the mean flow streamline
pattern of the flow field closely corresponding to that of an irrotational vortex.
This is the basic vortex mixing pattern useful to homogenize air and EGR for heterogeneous
burners. The mixing section involves high Reynolds number flows, and the linear scale
of the mixing section can be scaled-up indefinitely with the main features of the
flow pattern maintained. Although details in geometry should change with scale because
of engineering convenience, if a mixture of air and EGR were fed into the throttle
plate 1 the EGR air mixture out of the outlet 4 would be relatively homogeneous, and
would be much more effective at suppressing EGR in a heterogenous burner than would
less mixed EGR. For a large power plant burner, the diameter of the mixing vortex
section might be in the neighborhood of ten feet. A vortex mixer appropriate to very
large scales and to the mixing of a single phase (such as EGR and air), is described
with respect to Figures 13, 14 and 15. However, prior to this discussion it is useful
to follow the fundamental argument of structured turbulent flow mixing.
[0030] Figure 6, 7, 8, 9, 10, 11, 12 and 12a illustrate the vortex flow pattern useful for
mixing and illustrate the fundamental arguments of structured turbulent flow mixing.
Figure 6-12a are also 6-12a in Patent #4,318,386 by the present inventor with K. W.
Kriesel and C. L. Siewert. See Figure 5 and consider polar coordinates centered at
the center 9 of the outlet 4 so the flow velocity components would be defined in terms
of a velocity in the radial direction V
tr and a velocity in the tangential direction, V
t. These velocities would be mean flow stream velocities: the real flow would clearly
include a fluctuating component in both the tangential, the radial, and the axial
direction. Flow into the vortex chamber from 5 or 6 would clearly have angular momentum
with respect to the outlet center 9. Conservation of angular momentum, MV
tR, dictates the increase in the tangential velocity of the fluid as it flows towards
the center. It is easy to verify that the velocity in the tangential direction as
a function of radius r, V
tr will be expressible according to the relation

where V
tro is the tangential velocity at the outside of the vortex, r
o is the radius at the outside of the vortex, and r is the radius where the tangential
velocity is taken. Figure 6 illustrates the flow velocities which are produced in
an irrotational flow vortex according to the above equation. The relation is not valid
for Figure 5 for radii inside the outlet 4, but the equations describe the flow field
in the annulus between wall 10 and outlet 4.
[0031] Because the flow is proceeding from the outside of the vortex to a sink at the center
of the vortex, the mass flow rate in the radial direction through any cylindrical
cut of the vortex section will be the same (outside of the outlet) so that the radial
velocity will therefore vary inversely with the radius for a mixing chamber 3 of constant
axial height.

where V
r(r) is the radial velocity at radius r, and V
rro is the radial velocity at the outside radius of the vortex. Clearly, the above two
equations are of the same form. It follows that for a set tangential velocity input
the ratio of the velocity tangential to the velocity raidal will be constant for all
the radii. A the constant pitch inwardly flowing spiral pattern therefore occurs for
a vortex chamber of constant axial height. If axial height of the mixer varies, the
spiral pitch will vary inversely as axial height as a function of radius.
[0032] The mean flow streamline pattern described above is a good approximation of the real
flow in a vortex mixer such as that shown as mixing chamber 3 if certain fluidic details
are tended to. So long as turbulence levels are not too high and boundary layer flows
adjacent the top and bottom of the mixer are controlled, the physical relations of
conservation of angular momentum make the mean flow streamlines in the real flow rather
close to the pattern of an irrotational flow vortex. In the real flow pattern the
mean pattern has relatively fine scale turbulent perturbations superimposed upon it.
The large, relatively heterogenous lump eddies shown in Figure 4 do not occur in the
vortex flow, since the flow strain pattern of the vortex tends to "comb out" any large
eddies. The vortex flow combines large scale patterning with fine scale turbulence
and is useful for mixing.
[0033] It should be clear that drag interactions between successive radial elements will
tend to reduce the velocity increase of the flow as it flows towards the center because
the angular momentum as the flow flows towards the center will decay because of these
drag losses. Too much flow turbulence can increase these drag interactions to the
point that the irrotational vortex flow pattern is destroyed. For this reason, the
entrance section of a vortex mixer must be designed with care, so that the flow delivered
to the vortex chamber is not too turbulent. Nonetheless, the irrotational flow vortex
form, as a flow mode, is extremely stable, and is representative of the flow inside
a properly designed vortex mixer over its full operating range. This irrotational
flow pattern is a high Reynolds number, high inertia flow pattern which is stable
from sizes small enough to feed a small engine to the very large sizes required for
an air-EGR mixer for a large power plant.
[0034] The interaction between mean flow streamlines and turbulence is a most important
one if one is to understand mixing. We will be considering here turbulence levels
small enough that they do not destroy the basic irrotational vortex pattern. A consideration
of Figures 8 and 9 should clarify some of the points important with respect to understanding
of the interaction between flow structure and molecular and turbulent diffusive mixing.
It should be emphasized that the graphical illustration of Figure 7, Figure 8, and
Figure 9 are exemplary only. However, the examples are important ones.
[0035] Figure 7 shows a streamline 154 of a vortex from an outside radius 150 to a sink
152 where the streamline obeys the flow equations previously discussed. This flow
streamline would occur, for example, in an irrotational flow vortex where the streamline
was well away from entrance condition pertubations and where turbulence in the vortex
was zero, if one were at point 156 to introduce, for example, ink into a water vortex
and watch the ink line as it flowed inwardly to the sink. The streamline, in other
words, shows what the flow path would be in the absence of any random mixing, either
by turbulent diffusion or by molecular diffusion. If there were any diffusion, the
width of the line would increase as it flowed inwardly towards the sink, as should
be clear to those who understand mixing. In summary, Figure 7 would show a flow streamline
for an irrotational flow vortex if a line of mixant was introduced at only one point
along the outside of the vortex and in the absence of either molecular or turbulent
diffusion.
[0036] Figure 8 shows what would happen if the same flow situation as that of Figure 7 had
an additional line of mixant introduced 180
0 around from the initial point of introduction. The vortex would have an outside circle
157 and a sink 158. At point 160 along the circle 157 a line of mixant would be introduced.
The numbers 159 are shown as the flow swirls-in towards the sink to identify that
streamline. 180
0 from point 160 along circle 157 mixant is introduced at 162 and produces flow streamline
161. Flow streamline 161 is identified at several points to-make it clear the manner
in which the spiral 159 and the spiral 161 nest.
[0037] Again, Figure 8 illustrates what would happen in a mathematically perfect irrotational
flow vortex with a sink, in the absence of either molecular diffusion or turbulent
diffusion.
[0038] Figure 9 is analogous to Figure 8, except now, rather than having two nested spiral
streamlines, mixant would be introduced evenly around 10 points around the circumference
of the vortex; and therefore, 10 different spiral lines would nest as shown.
[0039] With respect to Figures 7, 8 and 9, it should be clear that the presence of small-scale
turbulent perturbations and molecular diffusion would tend to thicken out the lines
as they flow from the outside towards the sink of the vortex and therefore that the
mixing pattern would be more and more homogeneous as the mixture flowed inwardly towards
the sink of the vortex. For example, with respect to Figure 9 it should be clear that
only a relatively small spreading angle of the mixant lines (corresponding to a relatively
small turbulence intensity) would so smear out the lines of mixant by the time the
flow had spiraled from the outside of the vortex to the sink, that the mixture at
the sink of the vortex would be homogeneous down to relatively fine scales. The mixing
process folds the fluids together in a controlled shear flow that serves to "comb
out" large lump eddies such as those shown in Figure 4, and acts to shuffle fluid
elements so that the mean distance across which diffusion needs to occur in order
to achieve essentially perfect homogeneity at the vortex sink is very short.
[0040] A consideration of the turbulent or molecular diffusion differential equation should
make clear that an n-fold decrease in the mean distance across which diffusion needs
to occur, for a set interfacial area, will decrease the time required for equilibrium
by a factor of n. But the effect is even stronger. Introduction of mixant from many
points around the periphery of the vortex is tantamount to increasing the interfacial
area across which diffusion can occur. Of course, this effect increases mixing rates
too. Again, it must be emphasized that the flow streamlines shown in Figures 7, 8
and 9 are only exemplary. However, the geometrical relations with respect to mixing
- illustrated by these figures are extremely important and do not become less important
as the flow streamline structures become more complex. For any given high strain flow
structure, the flow structure will serve to stretch out the concentration gradients
of species to be mixed and therefore, the flow structure will dramatically affect
the rate at which the mixing proceeds. Mathematically, the flow structure, or non-random
streamline pattern, can be thought of as a spatial transform of concentration fields
as a function of time. There are flow transforms which are very conducive to mixing.
The irrotational flow vortex is such a flow transform. However, it should be clear
that many other flow patterns which are not exactly irrotational flows can also have
flow patterns very much conducive to mixing. For example, the flow pattern in the
vortex of the present invention will not be a perfect irrotational flow vortex. However,
with respect to the spiral streamlines, it will differ from a conventioal irrotational
flow vortex only in that the ratio of tangential to radial velocity will not quite
be constant as a function of radius for the real flow.
[0041] The basic irrotational flow mixing process should now be clear, and it should be
relatively clear that the function of the device rests on the interaction of molecular
diffusion, turbulent diffusion, and the gross effects of the flow structure. However,
it should be said that the flow structure which is most desirable requires a bit of
design care. Vortex flow patterns analogous to those required for mixing have been
used for many years in fluidic diodes for information handling and other purposes.
For a detailed discussion of vortex devices, see Chapter 8 of Design Theory of Fluidic
Components, by J. M. Kirshner and Silas Katz, Academic Press, 1975. Figures 10 and
11 are taken from pages 281 of this book and show the flow pattern which can be produced
if top and bottom boundary layer circumferential grooves are not used. Figure 10 is
a view of the flow perpendicular to the axis of rotation of the vortex, the Figure
11 is a diametral section showing streamlines for the flow of Figure 10. What is called
the developed region (or doughnut) is caused because of a boundary layer effect. The
centrifugal, forces in the flow in the vortex are important in determining the flow
pattern. Centrifugal force is proportional to re
2, and is therefore proportional to velocity squared. At the top and bottom surfaces
of the vortex-containing channel, viscous forces slow down the flow in and near the
boundary layer. This means that the centrifugal force in the vortex near the wall
is much less than it would be in the center, and the result is that the radial velocity
of flow towards the sink is greater near the walls of the vortex than it is in the
vortex center. The effect is so large that the recirculating doughnut flow shown in
Figures 10 and 11 often occurs. One of the difficulties is that this doughnut flow
diameter will vary with the Reynolds number at which the device is operating and as
the ratio of radial velocity to tangential velocity varies and so can produce unfortunate
modal characteristics with respect to the mixing device. Clearly, the simple irrotational
flow vortex flow form is a preferable flow form. It has better mixing rates, it is
simpler, and its equations are not modal, so that the irrotational flow vortex will
be stable above a certain minimum Reynolds number. To achieve this approximation of
the irrotational vortex flow pattern, it is necessary to condition the boundary layer
flows on the top and bottom surfaces of the vortex mixing chamber.
[0042] This boundary layer control can be obtained with circumferential grooves such as
those shown in Figure 12 and Figures 12a. Figures 12 shows the flow pattern which
is produced due to these grooves where Figure 12 is a diametral half section of a
vortex channel such as that shown in Figure 10 and shows the velocities with respect
to the radial direction (it should be clear that very significant tangential velocities,
which are not shown in Figure 12, also exist in and out of the pattern). The effect
of the circumferential grooves 81 is to stabilize small vortical flows between the
weirs in such a manner that the effective boundary layer flow is well lubricated and
where the great bulk of the flow energy in the vortex is in the form of a simple irrotational
vortex flow. It should be emphasized that the device will produce significant mixing
without circumferential grooves such as 81. However, operation with the grooves is
preferable.
[0043] Figure 5 shows a sketch of a mixing section of the inventor's covered by patent #4;318,386
showing a mixing section which produces such an organized mixing process.
[0044] Referring again to Figure 5, the performance of the mixer in Figure 5 should be relatively
clear. In the automotive vortex mixer of Figure 5, the system is designed to take
advantage of the full throttling pressure drop of the engine, which may be large since
gasoline engines are controlled by throttling. The mixer of Figure 5 is also characterized
by a fuel evaporation function which is not relevant to air-EGR mixing. The mixer
shown in Figure 5, and its predecessors, have demonstrated the practical usefulness
of vortex mixing for achieving very fine scale homogeneity. Water model Reynolds analogy
modeling of the flow, using both salt and visible ink as tracer, has shown that the
mixing in the vortex geometry of Figure 5 is extremely rapid, is consistent with the
theory described in Figures 6 - 9, and scales conveniently to high Reynolds numbers
which are relevant to larger mixing sections.
[0045] Figures 13 and 15 show generally a kind of vortex mixer which can be scaled to the
very large sizes required for power plant burners. Figure 13 shows a large scale mixer
with an inlet where nine EGR introduction lines are placed between ten air introduction
lines so that a relatively "striped" flow enters tangentially into the vortex to produce
mixing analogous to that shown in Figure 10. Figure 15 is a section view on either
FF of Figure 13 or GG of Figure 14 showing the top and bottom of the vortex, particularly
illustrating the circumferential grooves required for boundary layer control and discussed
with respect to Figures 11, 12 and 12a.
[0046] See Figure 13, which is a schematic of the flow section which can be used to mix
air and EGR in a very large stationary power plant. R in Figure 13 could be as large
as ten feet. The axial height of the vortex mixing section could be ten feet or so
also, particularly since the central vortex sink can take fluid from both the top
and bottom relatively planar surface of the mixing section as shown in Figure 15.
Flow is introduced into the vortex mixing section at relatively contracted passage
210, where the tangential velocity drives an irrotational vortex in mixing chamber
211 in the manner described previously. The vortex flow in chamber 211 is an inwardly
spiraling roughly two-dimensional structured flow streamline turbulent flow spiraling
inward to outlet 213. Upstream of tangential nozzle 210 in a relatively enlarged passage
is a set of passages 220 and 222 which introduce roughly rectangular jets of EGR relatively
evenly into an airstream, so that the air-EGR concentrations flowing from header section
220-222 to nozzle 210 form a roughly "striped" concentration pattern in two dimensions
for any set axial cut through the mixer. This "striped" concentration pattern flows
into the vortex and is mixed in a structured turbulent flow mixing process analogous
to that shown in Figure 10.
[0047] Following the argument presented with respect to Figures 7, 8-and 9, it should be
clear that increasing the number of "stripes" of EGR injected into the air stream
will, by reducing the mean distance across which turbulence and molecular diffusion
must act to mix, substantially increase the mixing rates in a vortex. It might be
possible to get substantial mixing simply by plumbing many injection points of EGR
into the air stream of a conventional conduit, but the lumpy nature of the jet mixing
process makes this far less effective than mixing in a structured flow such as the
vortex, which has flow strains which serve to "comb out" the large eddies characteristic
of jet mixing so that homogenization on very fine scales can proceed. Those skilled
in the fluid mechanical arts should recognize that it should be straightfoward to
control the mean concentrations of EGR and air directly downstream of an injection
section such as 220-222 even for extremely large section sizes, since the flow can
be "organized" with relatively minor pressure drops. It should be clear to those who
understand mixing that very rapid mixing rates may be obtained with a large number
of "stripes" of EGR-air introduction in an entrance section feeding a vortex. The
mixing will improve continuously as the number of "stripes" is increased, and the
optimal trade-off between number of EGR injection stripes engineered into header assembly
220-222 will vary from installation to installation depending on installation size
and economics. Using the basic geometrical approach illustrated in Figures 13 and
15 it is possible to homogeneously mix EGR and air (or any other two fluids of the
same phase) at any scale of commercial importance to man.
[0048] With respect to air-EGR mixing in a vortex, the inertial forces in the vortex are
important to consider. Even for rather large section passage radii, the radial acceleration
of the fluid in the vortex, A
r = rd2 , is significant. This radial acceleration of the fluid will serve to set up
body forces on fluid elements which will vary with density. Since the air-EGR mixing
process mixes fluids at different temperatures with different mean molecular weights
the EGR and air will usually have different densities. These density differences in
the inertial field will drive a buoyancy instability which will serve as a source
of turbulence tending to mix the fluids in the vortex. This turnover buoyancy instability
will act to homogenize the air and EGR on both relatively large and fine scales.
[0049] For relatively small radius vortices (such as could occur on a diesel engine) the
buoyancy instability effect can be very large. Figure 14 illustrates a vortex mixer
for mixing air and relatively hot EGR in a situation where inertial forces in the
vortex are important, and utilizes buoyancy instability. EGR is introduced into the
section at the outside of the vortex, and the airflow is relatively more inward when
it is injected tangentially into the vortex flow. Because the air is cooler and denser
than the EGR, there will be a turnover effect which will produce homogenization of
the air and EGR, and will superimpose on the structured turbulent flow mixing processes
described qualitatively with respect to Figures 7 - 9.
[0050] The mixant introduction patterns of Figure 13 and 14 show two alternative cases.
In Figure 14 one layer is introduced for each mixant and density instabilities are
relied on to produce some of the mixing. In Figure 13 the mixants are initially introduced
in a large number of alternating "stripes." It is clear that the mixing rates will
increase in the vortex with the number of "stripes" and buoyancy instabilities will
be useful in mixing air and EGR both in the few stripe and many stripe cases. Vortex
mixers such as those shown in Figures 13, 14 and 15 can be scaled over a very wide
range of sizes, from the relatively small vortex EGR mixer useful for mixing EGR in
an automotive diesel to the very large air-EGR mixing section applicable to a thousand
megawatt power plant installation. On all scales, the design of an air-EGR mixer using
vortex mixing is relatively straightfoward, so that it is possible to deliver to any
heterogeneous combustion system a quite homogeneous mixture of EGR and air. If this
air is used in a heterogeneous combustion process, no matter what the heterogeneous
combustion process is, very large reductions of NO formation rate can be obtained.
For reasons described previously, the EGR reductions obtainable with the mixed air-EGR
can be an order of magnitude or more greater than those which occur without careful
air-EGR mixing.
[0051] A number of considerations with respect to the design of air-EGR mixers should be
clear to those skilled in the mechanical and fluid mechanical arts. It is clear that
the detailed structural design of a vortex mixer-will be very different for a huge
power plant and a mixer designed to mix air and
EGR for a diesel automotive engine. The mixer useful for the diesel may be an assembly
of die castings. For the power plant the vortex mixer would be assembled on site,
and would be made of sheet metal with many welded supports. For both sizes of mixer,
operating temperatures are not very high, since the EGR-air mixture is unlikely to
be much hotter than 300°F in normal cases. It will be easier to obtain durability
of the vortex mixer if it is always operated at a temperature above the dew point
of the homogeneous air-EGR mixture which it is intended to produce.
[0052] The economic and engineering significance of system pressure drop will vary with
air-EGR mixer scale and application. As the tolerable pressure drop across the mixing
chamber increases, mixing rate increases as roughly the square root of the pressure
drop. For lower pressure drops, more multiple introduction points of air and EGR will
be required to obtain the same mixing quality.
[0053] Most of the pressure drop (usually more than 95 percent) across the vortex mixer
will be available in the form of kinetic energy of the rotating flow at the vortex
outlet. It is possible to reduce the net pressure drop across the mixing chamber,
and obtain some additional mixing, by using a diffuser to convert the high velocity
flow to a lower velocity flow at a higher pressure. The engineering details and optimal
design for a vortex diffuser will vary with the scale of the vortex mixer itself.
These diffuser design issues are not the subject of the present application.
[0054] Figures 16, 17 and 18 show vortex mixed ultra-homogeneous EGR applied to a number
of heterogeneous combustion systems. In each of these heterogeneous combustion systems,
fuel/air ratio varies greatly from place to place within the volume where burning
occurs, and temperature-pressure-time trajectories which determine NO formation vary
accordingly. However, if at each micro- volume in the burner the air-EGR ratio is
a set value, the peak flame
[0055] temperature in the burner will be lower for every element of fuel/air mixture burned
because every element of fuel/air mixture will have the same ratio of diluent to air,
and this EGR diluent, because of its specific heat and mass, will suppress peak flame
temperatures. This lowering of peak combustion temperatures will occur in every element
to be burned regardless of the details of the fuel-oxider mixing process in the burner.
It should be clear that control of NO via air-EGR mixing is also convenient since
EGR and air can be mixed at relatively low temperature and the homogenized EGR-air
can be supplied as the intake air of the heterogeneous combustion system with relatively
simple plumbing. Because NO formation rates are so temperature sensitive, the homogeneous
lowering of combustion temperatures which occurs with homogeneous EGR-air mixing will
greatly reduce NO output. The magnitude of the obtainable reduction can be estimated
straightforwardly by kinetics calculations such as those shown in Bartok, op. cit.
integrated over a range of air/fuel ratios (for convenience it is well to choose the
air/fuel ratio distribution as a Gaussian about the mean air/fuel ratio). The degree
of NO
x control obtained increases with increasing EGR, and more than ten-fold reductions
can be readily achieved.
[0056] Figure 16 illustrates the use of vortex mixed ultra-homogeneous EGR-air mixes on
a power plant burner system. The EGR is taken just downstream of the electrostatic
precipitator and is introduced into a vortex mixer which is shown schematically without
multiple "stripe" introduction, but which is intended to mix EGR with air in the manner
described in Figures 13 and 15. The homogeneous intake air-EGR mixture is then fed
as the "primary air" into the burner, which could be a natural gas or oil or coal
burner. The arrangement shown schematically in Figure 17 is capable of radically reducing
NO outputs from large industrial and electric power plant burners, including the biggest
ones. Most large power plant burners are already equipped with EGR. Homogeneous mixing
of this EGR with the feed gas air substantial abatement of NO can be combined with
somewhat improved combustion characteristics in the burners.
[0057] Figure 17 is a schematic of hardware to supply vortex mixed homogeneous EGR-air mixtures
to the intake air of a stationary turbine. Some exhaust gas is picked up at 300 and
recirculated with intake air in a vortex mixer analogous to that shown in Figures
13 and 15. Again, the schematic does not illustrate the "multiple stripe" introduction
required for complete mixing in large installations. The vortex mixing section homogeneously
mixes the air with EGR to scales so fine that the air-EGR mixture is effectively homogeneous
on micro-scales by the time it passes as the supply air into the turbine and combines
with fuel in the can combustors inside the turbine. The arrangement shown in Figure
17 is capable of radically reducing NO outputs from such stationary burners for a
set level of EGR. The homogeneous mixing of air and EGR illustrated schematically
in Figure 17 will also increase the tolerable EGR percentage from a combustion point
of view. The arrangement shown in Figure 17 is capable of radically reducing NO
x outputs from such stationary turbines. The inventor estimates that more than 95 percent
NO abatement can be achieved without any efficiency penalty.
[0058] Figure 18 shows a schematic of a vortex EGR-air mixer analogous to that of Figure
14 supplying an air-EGR mixture to a diesel engine. The method of NO suppression illustrated
here is effective for large NO
x reduction in both stationary and automotive diesels, and makes possible much larger
NO
x reductions per unit EGR input than have been possible with previous diesel engine
EGR supplies. For large diesels, the "multiple stripe" introduction of EGR illustrated
in Figure 13 will be required, rather than the single point introduction illustrated
in Figure 14, which should produce effective NO
x control for smaller diesels.
[0059] The NO
x suppression technique described above is applicable to any heterogeneous combustion
process. By homogeneously mixing air and EGR using the organized structured turubulent
flow mixing process illustrated here it is possitrle to practically and economically
obtain the large NO
x reductions predicted -for EGR by kinetic calculations.