[0001] The present patent application concerns an operating method and a reversible refrigeration
circuit, in particular for a heat pump with cycle inversion with air condensation.
[0002] It is known that a heat pump comprises a reversible refrigeration circuit, which
in turn comprises: a fin heat exchanger adapted to be installed in an outdoor environment;
and a utility adapted to be installed inside a room to be conditioned.
[0003] The heat exchanger in turn comprises: manifolds; one or more heat exchange pipes
which fluidly connect the manifolds to one another; and a plurality of fins which
project radially, in a known way, from said heat exchange pipes.
[0004] During use of the exchanger, it is known that the manifolds and the heat exchange
pipes are flowed through by a refrigerant fluid in a first or in a second direction
according to the type of use; whereas the finned pack is always flowed through by
an air flow in a given direction. Therefore, in an operating condition the refrigerant
fluid and the external air are in equicurrent, thus reducing the efficiency of the
cooling circuit. This is particularly disadvantageous when the refrigerant circuit
is operated to heat the utility, as will be described in further detail below.
[0005] It is also known that the heat exchanger acts as a condenser or evaporator of the
refrigeration cycle, according to the direction in which the refrigerant fluid flows
through the inside of the refrigeration circuit. In the case of operation of the exchanger
of known type as an evaporator (therefore supplying heat to the utility), the refrigeration
circuit has a low efficiency, especially when the heat exchanger is installed in an
outdoor environment at low temperatures.
[0006] In fact, during the winter period the outdoor temperatures can be extremely low and,
due to the degree of relative humidity of the air, evaporation temperatures inside
the heat exchanger can drop well below 0°C, frosting the humidity contained in the
air on the surface of the heat exchanger fins.
[0007] It can be observed that the frost or, even worse, a layer of ice on the heat exchanger
fins prevents optimal passage of the air and jeopardizes correct operation of the
heat exchanger.
[0008] The object of the present invention is to reduce, or even avoid, the formation of
frost or ice on the fins of a heat exchanger installed outdoors, when the refrigeration
circuit is used to heat the utility.
[0009] The object of the present invention is to provide an operating method and a refrigeration
circuit which overcome the above-mentioned drawbacks.
[0010] According to the present invention, an operating method and refrigeration circuit
are provided as cited in the attached claims.
[0011] The invention will now be described with reference to the accompanying drawings,
which illustrate a non-limiting embodiment example, in which:
- figure 1 illustrates a diagram of operation of the refrigeration circuit according
to the present invention in a first operating configuration;
- figure 2 is similar to figure 1 and illustrates the diagram of the refrigeration circuit
according to the present invention in a second operating configuration;
- figure 3 is a schematic view, partially in section in a plane, of a detail of the
refrigeration circuit according to the present invention;
- figure 4 is a lateral schematic view, partially in section, of the detail of figure
3;
- figure 5 represents schematically and by way of example a top plan view of the detail
of figure 3 appearing in figure 4e; and
- figure 6 illustrates an enlargement partially in section of a detail of figure 5.
[0012] In figure 1, the number 1 indicates as a whole a refrigeration circuit of a heat
pump 2 which comprises:
- a compressor 3;
- a switch 4 adapted to regulate the feed direction R1 or R2 of a refrigerant fluid
F inside the refrigeration circuit 1;
- a heat exchanger 5, which is adapted to be installed on the outside of a room H to
be conditioned;
- a thermal expansion valve 6; and
- a utility 7, which is adapted to be installed inside a room H to be conditioned.
[0013] In particular, the thermal expansion valve 6 is a thermostatic valve of known type
and illustrated schematically.
[0014] The switch 4 is of known type and illustrated schematically. The switch 4 is connected,
in a known way, both to the inlet I and to the delivery O of the compressor 3.
[0015] The refrigeration circuit 1 further comprises:
- a branch 8 which fluidly connects the switch 4 to the exchanger 5;
- a branch 9 which fluidly connects the exchanger 5 to the thermal expansion valve 6;
- a branch 10 which fluidly connects the thermal expansion valve 6 to the utility 7;
and
- a branch 11 which connects the utility 7 to the switch 4.
[0016] In addition, the heat pump 2 comprises:
- a deviation branch 12, which connects the branch 9 to the switch 4 in parallel to
the exchanger 5;
- a deviation branch 13 which connects the branch 9 directly to the inside of the exchanger
5, as will be illustrated in further detail below; and
- a by-pass branch 14, which fluidly connects the branch 10 to the branch 9 in parallel
to the thermal expansion valve 6.
[0017] According to the illustrations of figures 1 and 2, the branch 8 comprises a non-return
valve 16, which allows flow of the fluid F in the direction R1 from the switch 4 towards
the exchanger 5.
[0018] The branch 9 comprises a non-return valve 17, which allows flow of the fluid F in
the direction R1 from the exchanger 5 towards the thermal expansion valve 6. The deviation
branch 13 connects to the branch 9 downstream of the valve 17.
[0019] The deviation branch 12 comprises a non-return valve 18, which allows flow of the
fluid F in the direction R2 from the exchanger 5 towards the compressor 3.
[0020] The branch 14 comprises a non-return valve 15, which allows flow of the fluid F in
the direction R2 from the utility 7 towards the exchanger 5.
[0021] The deviation branch 13 comprises a non-return valve 19, which allows flow of the
fluid F in the direction R2 from the utility 7 to the exchanger 5, a thermal expansion
valve 20 and a distribution system 21, as will be illustrated in further detail below.
The thermal expansion valve 20 is arranged along the deviation branch 13 between the
valve 19 and the distribution system 21. Preferably, the thermal expansion valve 20
is a thermostatic valve of known type and illustrated schematically.
[0022] The distribution system 21 comprises a distributor 22 (of known type and generally
called Venturi gas distributor) and a plurality of capillary tubes 23, each of which
has an end portion 24 and an end portion 25.
[0023] As illustrated in the figures, the distributor 22 comprises a body axially symmetrical
and hollow inside, which has a substantially frustoconical shape, in particular having
a narrowing, so as to create a Venturi effect inside it.
[0024] The distributor 22 has a plurality of radial openings (of known type and not illustrated);
in each radial opening, an end portion 24 of a respective capillary tube 23 is engaged
in a known way and is schematically illustrated.
[0025] According to figure 3, the heat exchanger 5 is of the fin type, with a longitudinal
axis L and is adapted to be lapped by an air flow according to the direction W substantially
perpendicular to the axis L and illustrated in figure 3.
[0026] In particular, the exchanger 5 comprises: a manifold assembly 27, a manifold assembly
28, a plurality of heat exchange pipes 40 substantially parallel to the axis L, each
pipe 40 being bent so as to form coils with a plurality of sections parallel to one
another, and a plurality of fins of known type and not illustrated. Substantially
the fins are perpendicular to each heat exchange pipe 40. In the figures, the schematic
block 29 represents a heat exchange unit of known type comprising heat exchange pipes
40 and fins.
[0027] According to figure 3, the manifold assembly 27 comprises a manifold 30 having an
internal cavity 31 and a longitudinal axis A substantially perpendicular to the axis
L, an inlet 33, a plurality of pipes 34, which communicate with respective pipes 40
of the heat exchange unit 29, and a plurality of openings 32. In particular, the pipes
34 are adapted to establish communication between the cavity 31 of the manifold 30
and the heat exchange pipes 40 (illustrated in figure 4) of the heat exchange unit
29.
[0028] The pipes 34 project from a longitudinal wall 36, which is opposite the wall 35.
Each pipe 34 is adapted to establish communication between the cavity 31 and the outside.
The pipes 34 are substantially perpendicular to the axis A and are uniformly distributed
along the axis A. Each pipe 34 has an internal diameter adapted to house a respective
capillary tube 23.
[0029] Each opening 32 is provided on the wall 35 and is arranged substantially at a respective
pipe 34. Each opening 32 has a diameter adapted to house a respective capillary tube
23.
[0030] According to figure 3, an end portion 25 of a capillary tube 23 is arranged across
the respective opening 32 and the cavity 31 of the manifold 30 and is inserted inside
a respective pipe 34.
[0031] The capillary tubes 23 are tightly fixed on the wall 35 of the manifold 30. In particular,
each capillary tube 23 is braze-welded with the wall 35.
[0032] Advantageously, each pipe 34 and each capillary tube 23 define two inlets I1 and
I2 feeding a respective pipe 40 of the heat exchanger 5. The inputs I1 and I2 are
distinct from each other and are configured to feed fluid F supplied by two different
branches of the refrigeration circuit 1.
[0033] The inlet I1 is composed of the circular crown 51 delimited between a pipe 34 and
the respective capillary tube 23. Advantageously, the inlet I1 faces the inside of
the cavity 31 of the manifold 30 and is configured to feed into the respective pipe
40 the fluid F in the form of superheated vapour Vss coming from the branch 8 when
the fluid flows inside the refrigeration circuit 1 in the direction R1.
[0034] Advantageously, the inlet 12 is composed of the area 50 through which the capillary
tube 23 passes. The inlet 12 is configured to feed the fluid F in the liquid-vapour
two-phase state Lv coming from the branch 13, through the feed system 21, when the
fluid flows inside the refrigeration circuit 1 in the direction R2.
[0035] In other words, advantageously, the heat exchanger 5 of the type described above
has for each pipe 40 two inlets I1, I2 configured to feed fluid F coming from two
different sources (from the branch 8 through the manifold 30 or from the branch 13
through the feed system 21) and in two different physical states.
[0036] Thanks to the possibility of feeding each pipe 40 with two different types of sources
(manifold 30 or feed system 21) through two respective inlets I1, I2, according to
the feed direction R1, R2 of the fluid F in the refrigeration circuit 1 (or according
to the state of the fluid F which is fed to the heat exchanger 5), optimal operation
and maximum efficiency of the heat exchanger 5 are always guaranteed.
[0037] The inlet 33 projects from a longitudinal wall 35 of the manifold 30 and is arranged
in a substantially central position of the manifold 27. The inlet 33 connects the
cavity 31 with the outside.
[0038] The manifold assembly 28 is of known type and comprises a manifold 37 substantially
parallel to the manifold 30 and an outlet 38, which is arranged at one end of the
manifold 37.
[0039] It is observed that the present solution can be applied regardless of the refrigerant
fluids used.
[0040] Furthermore, the present solution is applicable both to systems with electromechanical
type control and to systems with microprocessor control combined with appropriate
control software.
[0041] In use, the switch 4 is operated in a known way (manually or by traditional control
means) so as to set the operating configuration of the refrigeration circuit 1 to
cool or heat the utility 7.
[0042] As illustrated in figure 1, to cool the utility 7, the switch 4 directs the refrigerant
flow F in the direction R1 inside the circuit 1.
[0043] During operation of the refrigeration circuit 1 to cool the utility 7, the heat pump
2 operates substantially like a traditional heat pump 2.
[0044] In particular, the flow F coming out of the compressor 3 in the state of superheated
vapour Vss is conveyed to the exchanger 5 through the branch 8. The superheated vapour
Vss enters the manifold assembly 27 through the inlet 33 and flows, in a known way,
through the pipes 40 of the exchanger 5 in a countercurrent flow relative to the direction
W of the air flow, as illustrated in figure 4.
[0045] During crossing of the exchanger 5, the superheated vapour Vss condenses to obtain,
at the outlet of said exchanger 5, substantially saturated liquid Ls, which is directed
to the thermal expansion valve 6. As it crosses the thermal expansion valve 6, the
fluid F in the saturated liquid state Ls passes to a liquid-vapour state Lv and is
directed to the utility 7, which acts as an evaporator.
[0046] Through the utility 7, the fluid F in the liquid-vapour state Lv passes to the saturated
vapour state Vs and is sent to the inlet I of the compressor 3 through the switch
4.
[0047] During operation of the refrigeration circuit 1 to cool the utility 7, the thermal
expansion valve 20, the deviation branch 12, the deviation branch 13 and the by-pass
branch 14 are closed.
[0048] As illustrated in figure 2, to heat the utility 7, the switch 4 directs the refrigerant
flow F in the direction R2 inside the refrigeration circuit 1.
[0049] The flow F coming out of the compressor 3 is in the state of superheated vapour Vss
and is sent to the utility 7, which operates as a condenser. Through the utility 7
the refrigerant fluid F passes to the saturated liquid state Ls. It is observed that
in this operating configuration the thermal expansion valve 6 is closed and the saturated
liquid Ls crosses the by-pass branch 14. Furthermore, the saturated liquid Ls is conveyed
through the deviation branch 13 and across the thermal expansion valve 20.
[0050] Through the thermal expansion valve 20 the saturated liquid Ls passes to the liquid-vapour
two-phase state Lv. Through the distributor 21 the liquid-vapour Lv is uniformly distributed
among all the capillary tubes 23, each of which conveys directly the liquid-vapour
Lv inside a respective pipe 40. In particular, each capillary tube 23 feeds the fluid
F in the liquid-vapour two-phase state Lv into a respective pipe 40 through a respective
inlet 12.
[0051] In this way, the fluid F in the liquid-vapour state Lv is uniformly distributed inside
the exchanger 5 (in other words the fluid F in the liquid-vapour state is uniformly
distributed among the pipes 40 of the heat exchanger 5), without the risk of the liquid
separating from the vapour inside the manifold assembly 27 (which would inevitably
lead to poor operation of the exchanger 5).
[0052] Furthermore, it can be observed that the fluid F in the liquid-vapour state Lv is
fed into the exchanger 5 in a countercurrent flow relative to the direction W of the
air thanks to the unit formed of: the deviation branch 13, the thermal expansion valve
20, the distributor 22 and the pipes 34.
[0053] Through the exchanger 5, the fluid F is transformed into saturated vapour Vs and
is fed through the deviation branch 12 to the switch 4. Then, through the switch 4,
the saturated vapour Vs is sent to the compressor 3.
[0054] It is observed that the fluid F can be any type of refrigerant fluid commonly used
in heat pumps. For example the fluid F can be a fluid chosen from those indicated
in the ASHRAE classification.
[0055] As illustrated above, in the heat pump 2 the refrigerant fluid F crosses the exchanger
5, again in a countercurrent flow relative to the direction W of the air.
[0056] In this way, also when the utility 7 is heated and the flow F flows in the direction
R2, a higher evaporation temperature is guaranteed with respect to the heat pumps
of traditional type in which the fluid F in the liquid-vapour state Lv is in equicurrent
with the direction W of the air.
[0057] In this way a higher evaporation temperature is obtained and it is possible to avoid
the formation of ice on the fins of the exchanger 5. Therefore, the method and the
refrigerant circuit 1 described above improve the refrigeration efficiency of the
heat pump 2.
[0058] Furthermore, by feeding the pipes 40 with two different inlets I2 and I1 and respective
different distribution systems (the manifold 30 or the capillary tubes 23), according
to the state of the fluid F (superheated vapour Vss in the case of feeding through
the branch 8 or liquid-vapour Lv in the case of feeding through the branch 13) which
is fed to the heat exchanger 5, the fluid F, especially when in the liquid-vapour
state Lv, is prevented from following, inside the exchanger 5, preferential paths
generated by its physical state, thus reducing the performance of the heat exchanger
5.
[0059] Therefore, the solution of the type described above always guarantees optimal operation
and maximum performance of the heat exchanger 5 in any operating condition, minimizing
in particular the negative effects of the flow of fluid F in the liquid-vapour state
Lv thanks to the use of the double feed system of the pipes 40, and in particular
to the use of the capillary tubes 23.
[0060] It has been ascertained that a method and a refrigeration circuit 1 of the type described
above allow an improvement in the coefficient of performance (COP) by +6% with respect
to a traditional heat pump in which the cooling takes place in equicurrent.
1. An operating method of a reversible refrigeration circuit, in particular for a heat
pump (2) with cycle inversion; the circuit (1) comprising: a heat exchanger (5), in
particular a fin heat exchanger (5), which is installed on the outside of a room (H)
to be conditioned, and a utility (7), which is installed on the inside of the room
(H) to be conditioned; wherein the heat exchanger (5) is suited to be flowed through,
on the outside, by an air flow in a given direction (W) and, on the inside, by a refrigerant
fluid (F); wherein the fluid (F) can selectively flow either in a first direction
(R1) or in a second direction (R2); the method being characterized in that the refrigerant fluid (F) is always fed through the heat exchanger (5) in a countercurrent
flow relative to the direction (W) of the outside air whatever the feeding direction
(R1; R2) of the refrigerant fluid (F) on the inside of the refrigeration circuit (1)
is.
2. A method according to claim 1 and comprising the steps of:
- causing the refrigerant fluid (F) to flow on the inside of the circuit (1) in the
first direction (R1) so as to cool the utility (7);
- feeding the refrigerant fluid (F) in the second direction (R2) so as to heat the
utility (7);
the method being
characterized in that the heat exchanger (5) is flowed through by the refrigerant fluid (F) in a countercurrent
flow relative to the direction (W) of the outside air both when the refrigerant fluid
(F) flows in the first direction (R1) and when the refrigerant fluid (F) flows in
the second direction (R2).
3. A method according to claim 1 or 2, wherein the circuit (1) comprises: a first deviation
branch (12), which connects an output (38) of the heat exchanger (5) to a switch (4);
and a second deviation branch (13), which feeds the refrigerant fluid (F) to a feeding
system (21) of the heat exchanger (5); the refrigerant fluid (F) being directed along
both the first and the second deviation branch (12, 13) when it flows in the second
direction (R2).
4. A method according to claim 3, wherein the circuit (1) comprises a main thermal expansion
valve (6), a bypass branch (14) to bypass the main thermal expansion valve (6), and
an auxiliary thermal expansion valve (20), which is arranged along the second deviation
branch (13); the refrigerant fluid (F) being deviated into the bypass branch (14)
and being expanded by means of said auxiliary thermal expansion valve (20) when it
flows in the second direction (R2).
5. A method according to claim 3 or 4, wherein the heat exchanger (5) comprises a plurality
of heat exchanger pipes (40), which are parallel to one another; wherein the heat
exchanger pipes (40) are fluidly connected, at their ends, to a first and a second
manifold (30, 37); wherein the feeding system (21) comprises a plurality of capillary
tubes (23), which extend through the first manifold (30) and lead directly into the
respective heat exchanging pipes (40); in use, when the refrigerant fluid (F) flows
in the second direction (R2), each capillary tube (23) feeds the refrigerant fluid
(F) directly into a respective heat exchange pipe (40).
6. A method according to one of the preceding claims,
wherein the heat exchanger (5) comprises a plurality of heat exchange pipes (40),
which are parallel to one another and arranged so that the fluid (F) flowing inside
is in a countercurrent flow relative to the direction (W) of the outside air; wherein
the refrigerant circuit (1) comprises, to feed the fluid (F) to each pipe (40), a
manifold (30) and a feed system in turn comprising a plurality of capillary tubes
(23); wherein each pipe (40) has a first and a second inlet (I1, I2); the first inlet
(I1) being configured to receive the fluid (F) fed from said manifold (30); the second
inlet (12) being configured to receive fluid (F) fed from said feed system (21) through
said capillary tubes (23); the method comprising the steps of:
- feeding the fluid (F) to each pipe (40) of the heat exchanger (5) through said first
inlet (I1) when the fluid (F) flows in a first direction (R1); or
- feeding the fluid (F) to each pipe (40) of the heat exchanger (5) through said second
inlet (I2) when the fluid (F) flows in a second direction (R2).
7. A reversible refrigeration circuit (1) suited to carry out a method according to one
of the previous claims; the refrigeration circuit (1) comprising a heat exchanger
(5), in particular a fin heat exchanger (5), which is suited to be installed on the
outside of a room (H) to be conditioned, and a utility (7), which is suited to be
installed on the inside of said room (H) to be conditioned; wherein the heat exchanger
(5) is suited to be flowed through, on the outside, by an air flow in a given direction
(W) and, on the inside, by a refrigerant fluid (F); wherein the fluid (F) can selectively
flow either in a first direction (R1) or in a second direction (R2); the refrigeration
circuit (1) being characterized in that it comprises: a first deviation branch (12), which connects an output of the heat
exchanger (5) to switching means (4) of the fluid (F) direction; and a second deviation
branch (13), which feeds the refrigerant fluid (F) to a feeding system (21) of the
heat exchanger (5).
8. A refrigeration circuit (1) according to claim 7 and comprising a main thermal expansion
valve (6), a bypass branch (14) to bypass the main thermal expansion valve (6), and
an auxiliary thermal expansion valve (20), which is arranged along the second deviation
branch (13); the refrigerant fluid (F) being deviated into the bypass branch (14)
and being expanded by means of said auxiliary thermal expansion valve (20) when it
flows in the second direction (R2).
9. A refrigeration circuit (1) according to claim 7 or 8, wherein the heat exchanger
(5) comprises a plurality of heat exchanging pipes (40), which are parallel to one
another and are fluidly connected, at their ends, to a first and a second manifold
(30, 37); wherein the feeding system (21) comprises a plurality of capillary tubes
(23), which extend through the first manifold (30) and lead directly into the respective
heat exchange pipes; when the refrigerant fluid (F) flows in the second direction
(R2), each capillary tube (23) is suited to feed the refrigerant fluid (F) directly
into a respective heat exchange pipe (40).
10. Refrigeration circuit (1) according to one of the preceding claims, wherein the heat
exchanger (5) comprises a plurality of heat exchange pipes (40), which are parallel
to one another and arranged so that the fluid (F) flowing inside from an inlet end
(li) to an outlet end (lu) is in a countercurrent flow relative to the direction (W)
of the outside air; wherein each pipe (40) has at a first inlet end (li) of the fluid
(F) a first inlet (I1) and a second inlet (I2); the refrigeration circuit (1) further
comprises a manifold (30) which is configured to feed the fluid (F) to each pipe (40)
through a respective first inlet (I1) when the fluid (F) flows in a first direction
(R1); the refrigeration circuit (1) further comprises a feed system (21) which in
turn comprises a plurality of capillary tubes (23), each of which is configured to
feed the fluid (F) to a respective pipe (40) through a respective second inlet (12)
when the refrigerant fluid (F) flows in a second direction (R2).
11. Refrigeration circuit (1) according to one of the claims from 7 to 10 and further
comprising: a compressor (3); a switch (4); a main thermal expansion valve (6); a
first branch (8) which connects the switch (4) to the heat exchanger (5); a second
branch (9) which connects the heat exchanger (5) to the main thermal expansion valve
(6); a third branch (10) which connects the main thermal expansion valve (6) to the
utility (7); a fourth branch (11) which connects the utility (7) to the switch (4);
wherein the switch (4) is connected in a known way both to an inlet (I) and to an
outlet (O) of the compressor (3); wherein the switch (4) is adapted to feed the fluid
(F) coming out of the compressor (3) either into the first branch (8) in the first
direction (R1) or into the fourth branch (11) in the second direction (R2), as required.
12. Circuit (1) according to claim 11, wherein the first deviation branch (12) connects
the first branch (8) to the second branch (9) in parallel to the heat exchanger (5);
the first deviation branch (12) comprising a one-way valve (18), which allows passage
of the refrigerant fluid (F) only when it flows in the second direction (R2); wherein
the second deviation branch (13) deviates the refrigerant fluid (F) from the second
branch (9) when the refrigerant fluid (F) flows in the second direction (R2); wherein
the second deviation branch (13) comprises a one-way valve (19), which allows passage
of the refrigerant fluid (F) only when it flows in the second direction (R2).
13. Heat exchanger (5) for a refrigeration circuit (1) according to one of the claims
from 7 to 12 and comprising a heat exchange unit (29) with a plurality of heat exchange
pipes (40); wherein the heat exchanger (5) comprises first and second means (26; 23)
for feeding the refrigerant fluid (F) into said pipes (40).
14. Heat exchanger (5) according to claim 13, wherein the first means comprise a manifold
(30) having: a cavity (31), an inlet (30) and a plurality of openings (34), each of
which establishes communication between a respective heat exchange pipe (40) and said
cavity (31); and wherein the second means comprise a plurality of capillary tubes
(23), each of which leads into a respective heat exchange pipe (40).
15. Heat exchanger according to claim 13 or 14, wherein the exchanger (5) comprises a
plurality of heat exchange pipes (40) parallel to one another and arranged so that
the fluid (F) flowing inside it from an inlet end (li) to an outlet end (lu) is in
a countercurrent flow relative to the direction (W) of the outside air; wherein each
pipe (40) has at a first inlet end (li) a first inlet (I1) and a second inlet (I2);
wherein the heat exchanger (5) comprises, as first means for feeding the fluid (F),
a manifold (30) which is configured to feed the fluid (F) to each pipe (40) through
a respective first inlet (I1) when, in use, the fluid (F) flows in a first direction
(R1); wherein the heat exchanger (5) comprises, as second means for feeding the fluid
(F), a feed system (21) which in turn comprises a plurality of capillary tubes (23),
each of which is configured to feed the fluid (F) to a respective pipe (40) through
a respective second inlet (12) when, in use, the refrigerant fluid (F) flows in a
second direction (R2).