TECHNICAL FIELD
[0001] The present invention relates to a heat exchanger and a heat pump including the heat
exchanger.
BACKGROUND ART
[0002] Conventionally, heat exchangers for exchanging heat between two kinds of fluids (water
and a refrigerant, or air and a refrigerant, for example) have been used widely.
[0003] For example, Patent Literature 1 describes a double tube heat exchanger including
inner tubes and outer tubes. As described in FIG. 6 of Patent Literature 1, the heat
exchanger of Patent Literature 1 includes two double tubes and a header. The header
connects the two double tubes in parallel. The double tubes each are composed of one
outer tube and two inner tubes.
[0004] Patent Literature 2 describes a heat exchanger including a housing having a rectangular
flow passage, and heat transfer tubes disposed in the flow passage inside the housing.
The heat exchanger described in Patent Literature 2 is the same as the heat exchanger
described in Patent Literature 1 in that it has a configuration in which the tube
having the flow passage for one fluid is disposed in the flow passage for another
fluid.
[0005] In this specification, a heat exchanger having a configuration in which a flow passage
for one fluid is disposed in a flow passage for another fluid is referred to as "a
double flow passage heat exchanger".
CITATION LIST
Patent Literature
SUMMARY OF INVENTION
Technical Problem
[0007] The heat exchangers described in Patent Literatures 1 and 2 are very heavy because
they are made of metal such as copper and stainless steel. Thus, a lighter-weight
double flow passage heat exchanger is desired.
[0008] In view of the foregoing, the present invention is intended to provide a technique
for reducing the weight of a double flow passage heat exchanger.
Solution to Problem
[0009] That is, the present disclosure provides a heat exchanger for exchanging heat between
a first fluid and a second fluid, including:
a plurality of heat exchange segments each having a first flow passage and a second
flow passage;
a first header provided at one end of the heat exchange segments so that the first
fluid is introduced into the first flow passage and the second fluid is collected
from the second flow passage; and
a second header provided at another end of the heat exchange segments so that the
first fluid is collected from the first flow passage and the second fluid is introduced
into the second flow passage.
Each of the heat exchange segments is composed of (i) an inner tube assembly that
includes two inner tubes each having the first flow passage and that is formed of
the two inner tubes twisted spirally, and (ii) an exterior body accommodating the
inner tube assembly so that the second flow passage is formed between an inner circumferential
surface of the exterior body and an outer circumferential surface of the inner tube
assembly.
A path number N indicating the number of the heat exchange segments disposed between
the first header and the second header is 4 to 8.
A gap width G represented by a difference ((φin / 2) - φout) between a half of an
inner diameter φin of the exterior body and an outer diameter φout of the inner tube
satisfies 0 < G ≤ 0.8 (unit: mm).
Advantageous Effects of Invention
[0011] By determining appropriately the relationship among the inner diameter φin of the
exterior body, the gap width G and the path number N, the present disclosure makes
it possible to provide a heat exchanger having a reduced weight even while having
a heat exchanging capacity equivalent to those of conventional double flow passage
heat exchangers.
Brief Description of Drawings
[0012]
FIG. 1 is a schematic plan view of a heat exchanger according to one embodiment of
the present invention.
FIG. 2 is a cross-sectional view of a heat exchange segment used in the heat exchanger
shown in FIG. 1.
FIG. 3 is a schematic view of an inner tube assembly.
FIG. 4 is a configuration diagram of a heat pump water heater.
FIG. 5 is a graph showing simulation results.
FIG. 6 is another graph showing simulation results.
FIG. 7 is still another graph showing simulation results.
FIG. 8 is still another graph showing simulation results.
DESCRIPTION OF EMBODIMENTS
[0013] The heat exchanger of Patent Literature 1 has large dimensions despite its heat exchanging
capacity because it has a large space at its center (see FIG. 3, etc.) The dimensions
of the heat exchanger of Patent Literature 1 are affected significantly by the curvature
radii of corner portions, for example. Smaller curvature radii of the corner portions
can make the overall dimensions smaller. However, the curvature radii of the corner
portions have an inevitable limit in accordance with the size of the double tubes,
etc. This makes it almost impossible to reduce further the weight of the heat exchanger
by contriving the bending shape of the double tubes.
[0014] The present inventors investigated, through computer simulation, how the weight of
the heat exchanger changes when the number of the flow passages in the double flow
passage heat exchanger (corresponding to the number of the double tubes in Patent
Literature 1), the inner diameter of the outer tube, and the width of the gap between
the outer tube and the inner tube are changed while the heat exchanging capacity is
kept at a fixed value. As a result, they have found it possible to reduce the weight
of the heat exchanger when the number of the flow passages, the inner diameter of
the outer tube, and the gap width take specific values, respectively. Based on this
finding, the present inventors disclose the following.
[0015] A first aspect of the present disclosure provides a heat exchanger for exchanging
heat between a first fluid and a second fluid, including:
a plurality of heat exchange segments each having a first flow passage and a second
flow passage;
a first header provided at one end of the heat exchange segments so that the first
fluid is introduced into the first flow passage and the second fluid is collected
from the second flow passage; and
a second header provided at another end of the heat exchange segments so that the
first fluid is collected from the first flow passage and the second fluid is introduced
into the second flow passage.
[0016] Each of the heat exchange segments is composed of (i) an inner tube assembly that
includes two inner tubes each having the first flow passage and that is formed of
the two inner tubes twisted spirally, and (ii) an exterior body accommodating the
inner tube assembly so that the second flow passage is formed between an inner circumferential
surface of the exterior body and an outer circumferential surface of the inner tube
assembly.
[0017] A path number N indicating the number of the heat exchange segments disposed between
the first header and the second header is 4 to 8.
[0018] A gap width G represented by a difference ((φin / 2) - φout) between a half of an
inner diameter φin of the exterior body and an outer diameter φout of the inner tube
satisfies 0 < G ≤ 0.8 (unit: mm).
[0020] A second aspect of the present disclosure provides the heat exchanger as set forth
in the first aspect, wherein the gap width G satisfies 0.16 ≤ G ≤ 0.8. This makes
it possible to put smoothly the inner tube assembly into the exterior body.
[0021] A third aspect of the present disclosure provides the heat exchanger as set forth
in the first aspect or the second aspect, wherein the inner tubes and the exterior
body each are composed of a copper tube. This makes it possible to exchange heat between
the first fluid and the second fluid efficiently.
[0022] A fourth aspect of the present disclosure provides the heat exchanger as set forth
in the first aspect or the second aspect, wherein the inner tubes each are composed
of a copper tube and the exterior body is made of a resin. The exterior body made
of a resin may make it possible to provide a heat exchanger having a further reduced
weight.
[0023] A fifth aspect of the present disclosure provides the heat exchanger as set forth
in any one of the first to fourth aspects, wherein the inner tubes each are a leakage
detection tube composed of a smooth-inner-surface tube and an inner-surface-grooved
tube provided outside around the smooth-inner-surface tube. The leakage detection
tube can prevent the first fluid from flowing into the second flow passage even in
the case where the smooth-inner-surface tube is damaged.
[0024] A sixth aspect of the present disclosure provides the heat exchanger as set forth
in any one of the first to fifth aspects, wherein the first fluid is carbon dioxide
and the second fluid is water. Use of carbon dioxide as a refrigerant allows to heat
the water to a temperature close to its boiling point.
[0025] A seventh aspect of the present disclosure provides a heat pump including:
a compressor for compressing a refrigerant;
a radiator for cooling the compressed refrigerant, the radiator being composed of
any one of the heat exchangers as set forth in the first to sixth aspects;
an expansion mechanism for expanding the cooled refrigerant;
an evaporator for evaporating the expanded refrigerant; and
a water circuit for circulating water through the radiator.
[0026] Use of any one of the heat exchangers as set forth in the first to sixth aspects
makes it possible to increase the efficiency of the heat pump.
[0027] Hereinafter, embodiments of the present invention are described with reference to
the drawings. The present invention is not limited by the following embodiments.
[0028] As shown in FIG. 1, a heat exchanger 100 of the present embodiment includes a plurality
of heat exchange segments 10, a first header 16 and a second header 22. The first
header 16 and the second header 22 are provided respectively at one end and another
end of the heat exchange segments 10.
[0029] As shown in FIG. 2, each of the heat exchange segments 10 is composed of an inner
tube assembly 26 and an outer tube 28 (exterior body). The inner tube assembly 26
includes two inner tubes 24. The two inner tubes 24 each have a first flow passage
24h. As shown in FIG. 3, the inner tube assembly 26 is formed of the two inner tubes
24 twisted spirally. The inner tube assembly 26 is disposed in the outer tube 28.
Thereby, a second flow passage 28h is formed between an inner circumferential surface
of the outer tube 28 and an outer circumferential surface of the inner tube assembly
26. Typically, the first flow passage 24h and the second flow passage 28h each have
a circular cross-sectional shape.
[0030] A helical pitch and helix angle of the inner tube assembly 26 are not particularly
limited. The helical pitch is adjusted to fall in the range of 20 to 65 mm, for example.
The helix angle is adjusted to fall in the range of 13 to 26°, for example. A somewhat
large helix angle is desirable, but there is a processing limitation in accordance
with an outer diameter of each inner tube 24. As shown in FIG. 3, the "helical pitch"
refers to the length of one cycle of the twisted inner tubes 24. The "helix angle"
is an angle defined as follows. When the inner tube assembly 26 is viewed in plan,
a center line L
1 of the inner tube assembly 26, and a contact point P between the two inner tubes
24 at a position of an antinode of the inner tube assembly 26 are defined. Further,
a tangent L
2 of the inner tubes 24 is defined so as to pass through the contact point P. The angle
between the center line L
1 and the tangent L
2 is defined as the "helix angle".
[0031] As shown in FIG. 1, the first header 16 is composed of an outlet header 12 and an
inlet header 14. The first header 16 serves the role of collecting the second fluid
from the second flow passages 28h and introducing the first fluid into the first flow
passages. The second header 22 is composed of an inlet header 18 and an outlet header
20. The second header 22 serves the role of introducing the second fluid into the
second flow passages 28h and collecting the first fluid from the first flow passages
24h. When the second fluid flows through the second flow passages while the first
fluid flows through the first flow passages, the heat is exchanged between the first
fluid and the second fluid.
[0032] Examples of the first fluid include a refrigerant such as carbon dioxide, and examples
of the second fluid include water. Carbon dioxide is suitable for heat pumps as a
refrigerant with a low GWP (Global Warming Potential). Use of carbon dioxide as a
refrigerant allows to heat the water to a temperature close to its boiling point.
However, the two kinds of fluids to be subjected to heat exchange are not limited
to these. Instead of water, oil, brine, etc. can be used as the second fluid. On the
other hand, a fluorine refrigerant, such as hydrofluorocarbon, can also be used as
the refrigerant.
[0033] Detailed structures of the first header 16 and the second header 22 are described
in Patent Literature 1 (FIG. 6), for example.
[0034] In the present embodiment, the inner tubes 24 and the outer tube 28 each are composed
of a copper tube. This makes it possible to exchange heat between the first fluid
and the second fluid efficiently.
[0035] The second flow passage 28h may be formed with a member having a shape other than
a tube shape. Such a member may be made of metal or may be made of a material other
than metal. For example, the inner tubes 24 each may be made of a copper tube and
the member (exterior body) corresponding to the outer tube 28 may be made of a resin.
When the member (exterior body) corresponding to the outer tube 28 is made of a resin,
it may be possible to provide a heat exchanger with a further reduced weight.
[0036] The member corresponding to the outer tube 28 may be made of, for example, a resin
such as polyphenylene sulfide, polyetheretherketone, polytetrafluoroethylene, polysulfone,
polyether sulfone, polyarylate, polyamide imide, polyether imide, a liquid crystal
polymer, and polypropylene. These resins (thermoplastic resins) have excellent heat
resistance and chemical durability and hardly deteriorate even when they are in contact
with water. Also, the outer tube 28 may be made of a resin containing a reinforcing
material such as a glass filler.
[0037] As shown in FIG. 2, the inner tubes 24 each are a leakage detection tube composed
of a smooth-inner-surface tube 32 and an inner-surface-grooved tube 30 provided outside
around the smooth-inner-surface tube 32. The smooth-inner-surface tube 32 has an outer
diameter equal to an inner diameter of the inner-surface-grooved tube 30. The leakage
detection tube makes it possible to prevent the first fluid from flowing into the
second flow passage 28h even in the case where the smooth-inner-surface tube 32 is
damaged. However, each inner tube 24 does not necessarily have to be a leakage detection
tube. The inner tube 24 may be composed only of the smooth-inner-surface tube 32.
Dimples (depressions and projections) may be formed on a surface of the inner tube
24. Such dimples increase the heat transfer coefficient on the surface of the inner
tube 24.
[0038] As shown in FIG. 1, the path number N indicating the number of the heat exchange
segments 10 disposed between the first header 16 and the second header 22 is 4 in
the present embodiment. The path number N may be changed suitably in the range of
4 to 8 in accordance with the inner diameter of the outer tube 28 and the outer diameter
of the inner tube 24.
[0039] As shown in FIG. 6 of Patent Literature 1 (
JP 4414197 B), conventional double flow passage heat exchangers have a path number N of 2, for
example. When the path number N is increased, the pressure loss decreases significantly
because the flow passage area increases in proportion to the path number. However,
the flow rate of the fluid decreases, and accordingly the heat transfer coefficient
also decreases. In order to compensate the decrease in the heat exchanging capacity
due to the decrease of the heat transfer coefficient, it is necessary to design appropriately
the length of the flow passage per path. Even when the path number N is doubled, the
length of the flow passage per path cannot be reduced by half. Thus, a mere increase
in the path number fails to achieve the effect of reducing the weight of the double
flow passage heat exchanger.
[0040] The present inventors investigated in detail the relationship among the number of
the flow passages (path number), the inner diameter of the outer tube and the gap
width through computer simulation. As a result, they found that when these parameters
each take a specific value, it is possible to provide a heat exchanger having a reduced
weight even while having a heat exchanging capacity equivalent to those of conventional
double flow passage heat exchangers.
[0042] As the path number N increases, the number of soldering points increases and the
structures of the headers 16 and 22 become more complex. A path number N exceeding
8 makes mass production difficult even if it accomplishes weight reduction. Moreover,
an excessively large path number N makes it difficult for the first fluid and the
second fluid to flow through each of the heat exchange segments 10 uniformly. Thus,
it is desirable that the path number N is in the range of 4 to 8.
[0043] The gap width G of zero makes it impossible to put the inner tube assembly 26 into
the outer tube 28. Thus, it is essential that the gap width G is larger than zero.
Desirably, the gap width G is 0.16 mm or more. On the other hand, a gap width G exceeding
0.8 mm may lower the heat transfer coefficient on the surface of the inner tube 24
and deteriorate the heat exchanging performance notably. Thus, it is desirable that
the gap width G has an upper limit of 0.8 mm.
[0044] Determinations of the inner diameter φin of the outer tube 28 and the gap width G
determine the outer diameter φout of the inner tube 24. The weight reduction of the
heat exchanger 100 can be achieved by reducing the inner diameter φin of the outer
tube 28 and/or the outer diameter φout of the inner tube 24, and furthermore, by reducing
the thickness of the outer tube 28 and/or the thickness of the inner tube 24. However,
taking safety into consideration, the inner tube 24 and the outer tube 28 each need
a certain thickness. Taking corrosion resistance into consideration, the detection
tube 30 is adjusted to have a thickness (thickness of a portion without a groove)
in the range of 0.5 to 0.7 mm, for example. From the same viewpoint, the outer tube
28 is adjusted to have a thickness in the range of 0.5 to 0.7 mm, for example. The
smooth-inner-surface tube 32 is adjusted to have a thickness in the range of 0.2 to
0.4 mm, for example. The smooth-inner-surface tube 32 (refrigerant tube) is required
to have a thickness capable of withstanding the pressure of the refrigerant (first
fluid). An excessively large thickness of the smooth-inner-surface tube 32 affects
the weight of the heat exchanger 100, costs, and the pressure loss of the refrigerant.
Thus, the thickness of the smooth-inner-surface tube 32 can be determined in the range
of, for example, 12 to 20% (desirably 12 to 16%) of the outer diameter of the smooth-inner-surface
tube 32 itself.
[0045] The heat exchanging capacity of the heat exchanger 100 is not particularly limited.
It is in the range of 4.5 to 6.0 kW, for example. The heat exchanger 100 having a
heat exchanging capacity of such a magnitude can be used suitably for a home heat
pump. Of course, in the case where a heat exchanging capacity larger than this is
required, two units of the heat exchanger 100 can be used in parallel.
[0046] As shown in FIG. 1, the heat exchange segments 10 are unbent in the present embodiment.
Each heat exchange segment 10 has a length of 2 to 5 meters, which depends on the
path number N. Thus, in the heat exchanger 100 of the present embodiment, the heat
exchange segment 10 may be bent in a scroll shape. Use of a slim tube for the heat
exchange segment 10 may make it possible to decrease its bend radius and reduce a
dead space.
[0047] Next, the applications of the heat exchanger 100 are described. FIG. 4 is a configuration
diagram of a heat pump water heater 200 in which the heat exchanger 100 can be used.
[0048] The heat pump water heater 200 includes a heat pump unit 201 and a tank unit 203.
The hot water made in the heat pump unit 201 is held in the tank unit 203. The hot
water is supplied to a hot water tap 204 from the tank unit 203. The heat pump unit
201 includes a compressor 205 for compressing a refrigerant, a radiator 207 for cooling
the refrigerant, an expansion mechanism 209 for expanding the refrigerant, an evaporator
211 for evaporating the refrigerant, and refrigerant tubes 213 connecting these devices
in this order. Typically, the expansion mechanism 209 is an expansion valve. Instead
of an expansion valve, a positive displacement expander capable of recovering the
expansion energy of the refrigerant may be used. The heat exchanger 100 can be used
as the radiator 207. The tank unit 203 includes a hot water storage tank 215 and a
water circuit 217. The water circuit 217 serves the role of circulating water through
the radiator 207.
EXAMPLES
[0049] The weight of the heat exchanger described with reference to FIGs. 1 to 3 was calculated
through computer simulation, with the inner diameter φin of the outer tube being fixed
at 7.06 mm or 8.6 mm and the path number N being changed variously. The gap width
G was fixed at 0.4 mm. As a reference example, the calculation result of the heat
exchanger with the path number N being 2 and the inner diameter φin of the outer tube
being 10.8 mm was prepared. While the heat exchanging capacity was kept at the value
of the reference example (about 4.7 kW), the path number N was changed. That is, the
length of each heat exchange segment (the length of the outer tube) was set so that
the same heat exchanging capacity as that of the reference example was achieved. The
simulation conditions were as follows.
[0050] Software for analysis: REFPROP Version 7.0
Flow rate of water: 1.4 kg/minute
Temperature of water: 17°C
Kind of refrigerant: CO
2
Temperature of refrigerant (inlet): 87°C
Temperature of refrigerant (outlet): 20°C
Pressure of refrigerant: 9.6 MPa
Material of the outer tube and the inner tube: Copper
[0051] Table 1 and Table 2 show the results. Table 1 shows the results in the case where
φin = 7.06 mm. Table 2 shows the results in the case where φin = 8.6 mm.
[Table 1]
| |
φ 7.06 x 8 paths |
φ 7.06 x 12 paths |
φ 7.06 x 16 paths |
φ 7.06 x 24 paths |
φ 7.06 x 36 paths |
|
φ 10.8 x 2 paths |
| Outer tube (Water) |
Outer diameter |
[mm] |
8.26 |
8.26 |
8.26 |
8.26 |
8.26 |
|
12.00 |
| |
Thickness |
[mm] |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
|
0.60 |
| |
Inner diameter |
[mm] |
7.06 |
7.06 |
7.06 |
7.06 |
7.06 |
|
10.80 |
| |
Gap |
[mm] |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
|
0.40 |
| |
Path number |
[-] |
8 |
12 |
16 |
24 |
36 |
|
2 |
| |
Tube length |
[m] |
2.85 |
2.39 |
2.16 |
1.92 |
1.75 |
|
7.92 |
| |
Water-side cross-sectional area |
[mm2] |
181.55 (1.000) |
272.33 (1.500) |
363.11 (2.000) |
544.66 (3.000) |
817.00 (4.500) |
|
102.42 |
| |
Water-side heat transfer coefficient |
[W/(m2·K)] |
5198 (1.000) |
4377 (0.842) |
3875 (0.745) |
3263 (0.628) |
2747 (0.529) |
|
4236 |
| |
Water-side pressure bss |
[kPa] |
4.53 (1.000) |
2.23 (0.492) |
1.38 (0.305) |
0.72 (0.159) |
0.39 (0.085) |
|
10.48 |
| |
Weight of outer tube |
[kg] |
2.92 (1.000) |
3.68 (1.258) |
4.43 (1.516) |
5.91 (2.021) |
8.08 (2.763) |
|
3.02 |
| Inner tube (CO2) |
Outer diameter of detection tube |
[mm] |
3.13 |
3.13 |
3.13 |
3.13 |
3.13 |
|
5.00 |
| |
Thickness of detection tube |
[mm] |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
|
0.68 |
| |
Outer diameter of CO2 tube |
[mm] |
1.77 |
1.77 |
1.77 |
1.77 |
1.77 |
|
3.64 |
| |
Thickness of CO2 tube |
[mm] |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
|
0.45 |
| |
Inner diameter of CO2 tube |
[mm] |
1.33 |
1.33 |
1.33 |
1.33 |
1.33 |
|
2.74 |
| |
CO2-side heat transfer coefficient |
[W/(m2·K)] |
8179 (1.000) |
5698 (0.697) |
4425 (0.541) |
3086 (0.377) |
2120 (0.259) |
|
7024 |
| |
CO2-side pressure bss |
[kPa] |
162.43 (1.000) |
66.63 (0.410) |
36.34 (0.224) |
15.92 (0.098) |
7.18 (0.044) |
|
163.56 |
| |
Weight of detection tube |
[kg] |
2.27 (1.000) |
2.85 (1.258) |
3.43 (1.516) |
4.58 (2.021) |
6.26 (2.763) |
|
2.67 |
| |
Weight of CO2 tube |
[kg] |
0.46 (1.000) |
0.58 (1.258) |
0.70 (1.516) |
0.93 (2.021) |
1.28 (2.763) |
|
1.31 |
| Heat exchanger |
Amount of heat exchange |
[W] |
4721 (1.000) |
4726 (1.001) |
4725 (1.001) |
4725 (1.001) |
4724 (1.001) |
|
4738 |
| Total weight |
[kg] |
5.65 (1.000) |
7.11 (1.258) |
8.57 (1.516) |
11.42 (2.021) |
15.61 (2.763) |
|
7.00 |
[Table 2]
| |
φ 8.6 x 4 paths |
φ 8.6 x 6 paths |
φ 8.6 x 8 paths |
φ 8.6 x 12 paths |
φ 8.6 x 16 paths |
φ 8.6 x 24 paths |
φ 8.6 x 36 paths |
|
φ 10.8 x 2 paths |
| Outer tube (Water) |
Outer diameter |
[mm] |
9.80 |
9.80 |
9.80 |
9.80 |
9.80 |
9.80 |
9.80 |
|
12.00 |
| |
Thickness |
[mm] |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
|
0.60 |
| |
Inner diameter |
[mm] |
8.60 |
8.60 |
8.60 |
8.60 |
8.60 |
8.60 |
8.60 |
|
10.80 |
| |
Gap |
[mm] |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
|
0.40 |
| |
Path number |
[-] |
4 |
6 |
8 |
12 |
16 |
24 |
36 |
|
2 |
| |
Tube length |
[m] |
4.72 |
3.87 |
3.48 |
3.06 |
2.83 |
2.58 |
2.44 |
|
7.92 |
| |
Water-side cross-sectional area |
[mm2] |
132.40 (1.000) |
198.60 (1.500) |
264.80 (2.000) |
397.21 (3.000) |
529.61 (4.000) |
794.41 (6.000) |
1191.62 (9.000) |
|
102.42 |
| |
Water-side heat transfer coefficient |
[W/(m2·K)] |
4816 (1.000) |
4056 (0.842) |
3590 (0.745) |
3024 (0.628) |
2677 (0.556) |
2254 (0.468) |
1897 (0.394) |
|
4236 |
| |
Water-side pressure bss |
[kPa] |
7.32 (1.000) |
3.53 (0.482) |
2.17 (0.297) |
1.12 (0.153) |
0.71 (0.097) |
0.38 (0.052) |
0.21 (0.029) |
|
10.48 |
| |
Weight of outer tube |
[kg] |
2.91 (1.000) |
3.58 (1.230) |
4.29 (1.475) |
5.65 (1.945) |
6.97 (2.398) |
9.54 (3.280) |
13.53 (4.653) |
|
3.02 |
| Inner tube (CO2) |
Outer diameter of detection tube |
[mm] |
3.90 |
3.90 |
3.90 |
3.90 |
3.90 |
3.90 |
3.90 |
|
5.00 |
| |
Thickness of detection tube |
[mm] |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
|
0.68 |
| |
Outer diameter of CO2 tube |
[mm] |
2.54 |
2.54 |
2.54 |
2.54 |
2.54 |
2.54 |
2.54 |
|
3.64 |
| |
Thickness of CO2 tube |
[mm] |
0.31 |
0.31 |
0.31 |
0.31 |
0.31 |
0.31 |
0.31 |
|
0.45 |
| |
Inner diameter of CO2 tube |
[mm] |
1.91 |
1.91 |
1.91 |
1.91 |
1.91 |
1.91 |
1.91 |
|
2.74 |
| |
CO2-side heat transfer coefficient |
[W/(m2·K)] |
7566 (1.000) |
5265 (0.696) |
4101 (0.542) |
2881 (0.381) |
2234 (0.295) |
1540 (0.203) |
1028 (0.136) |
|
7024 |
| |
CO2-side pressure bss |
[kPa] |
160.75 (1.000) |
63.95 (0.398) |
34.63 (0.215) |
14.96 (0.093) |
8.38 (0.052) |
3.78 (0.024) |
1.77 (0.011) |
|
163.56 |
| |
Weight of detection tube |
[kg] |
2.41 (1.000) |
2.97 (1.230) |
3.56 (1.475) |
4.69 (1.945) |
5.79 (2.398) |
7.91 (3.280) |
11.22 (4.653) |
|
2.67 |
| |
Weight of CO2 tube |
[kg] |
0.77 (1.000) |
0.95 |
1.14 |
1.50 |
1.85 |
2.53 |
3.58 |
|
1.31 |
| Heat exchanger |
Am ount of heat exchange |
[W] |
4729 (1.000) |
4724 (0.999) |
4724 (0.999) |
4724 (0.999) |
4724 (0.999) |
4724 (0.999) |
4725 (0.999) |
|
4738 |
| Total weight |
[kg] |
6.09 (1.000) |
7.49 (1.230) |
8.98 (1.475) |
11.84 (1.945) |
14.61 (2.398) |
19.97 (3.280) |
28.33 (4.653) |
|
7.00 |
[0052] As shown in the item of total weight in Table 1, when φin = 7.06 mm, the heat exchanger
was lighter than the reference example only in the case where the heat exchanger had
eight paths. As shown in the item of total weight in Table 2, when φin = 8.6 mm, the
heat exchanger was lighter than the reference example only in the case where the heat
exchanger had four paths.
[0053] Next, various combinations of the inner diameter φin of the outer tube and the path
number N were investigated with the gap width G being fixed at 0.4 mm. Then combinations
of the inner diameter φin of the outer tube and the path number N that made the heat
exchanger lighter than the reference example were picked out. Table 3 shows the results.
[Table 3]
| |
φ 10.8 x 2 paths |
φ 9.4× 3 paths |
φ 8.6 x 4 paths |
φ 8.0 x 5 paths |
φ 7.58 x 6 paths |
φ 7.28 x 7 paths |
φ 7.02 x 8 paths |
φ 6.82 x 9 paths |
φ 6.64 x 10 paths |
φ 6.5 x 11 paths |
φ 6.37 x 12 paths |
φ 6.0 x 16 paths |
φ 5.54 x 24 paths |
φ 5.17 x 36 paths |
| Outer tube (Water) |
Outer diameter |
[mm] |
12.00 |
10.60 |
9.80 |
9.20 |
8.78 |
8.48 |
8.22 |
8.02 |
7.84 |
7.70 |
7.57 |
7.20 |
6.74 |
6.37 |
| Thickness |
[mm] |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
| Inner diameter |
[mm] |
10.80 |
9.40 |
8.60 |
8.00 |
7.58 |
7.28 |
7.02 |
6.82 |
6.64 |
6.50 |
6.37 |
6.00 |
5.54 |
5.17 |
| |
Gap |
[mm] |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
0.40 |
| |
Path number |
[-] |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
16 |
24 |
36 |
| |
Tube length |
[m] |
7.92 |
5.78 |
4.72 |
3.92 |
3.33 |
2.95 |
2.62 |
2.37 |
2.26 |
2.13 |
2.02 |
1.75 |
1.32 |
1.01 |
| |
Water-side cross-sectional area |
[mm2] |
102.42 (1.000) |
117.94 (1.152) |
132.40 (1.293) |
143.37 (1.400) |
153.71 (1.501) |
165.15 (1.613) |
174.37 (1.703) |
184.09 (1.797) |
195.96 (1.913) |
207.36 (2.025) |
218.00 (2.129) |
263.90 (2.577) |
338.69 (3.307) |
444.72 (4.342) |
| |
Water-side heat transfer coefficient |
[W/(m2·K)] |
4236 (1.000) |
4543 (1.072) |
4816 (1.137) |
5177 (1.222) |
5543 (1.309) |
5703 (1.346) |
5958 (1.407) |
6126 (1.446) |
5977 (1.411) |
5920 (1.397) |
5882 (1.388) |
5446 (1.286) |
5385 (1.271) |
5175 (1.222) |
| |
Water-side pressure loss |
[kPa] |
10.48 (1.000) |
8.42 (0.803) |
7.32 (0.698) |
6.76 (0.645) |
6.38 (0.608) |
5.82 (0.555) |
5.54 (0.529) |
5.21 (0.497) |
4.60 (0.439) |
4.16 (0.396) |
3.80 (0.363) |
2.60 (0.248) |
1.73 (0.165) |
1.08 (0.103) |
| |
Weight of outer tube |
[kg] |
3.02 (1.000) |
2.90 (0.960) |
2.91 (0.962) |
2.82 (0.933) |
2.74 (0.905) |
2.72 (0.901) |
2.67 (0.884) |
2.65 (0.876) |
2.74 (0.906) |
2.78 (0.921) |
2.82 (0.933) |
3.09 (1.023) |
3.26 (1.077) |
3.51 (1.162) |
| Inner tube (CO2) |
Outer diameter of detection tube |
[mm] |
5.00 |
4.30 |
3.90 |
3.60 |
3.39 |
3.24 |
3.11 |
3.01 |
2.92 |
2.85 |
2.79 |
2.60 |
2.37 |
2.19 |
| Thickness of detection tube |
[mm] |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
| Outer diameter of CO2 tube |
[mm] |
3.64 |
2.94 |
2.54 |
2.24 |
2.03 |
1.88 |
1.75 |
1.65 |
1.56 |
1.49 |
1.43 |
1.24 |
1.01 |
0.83 |
| |
Thcikness of CO2 tube |
[mm] |
0.45 |
0.36 |
0.31 |
0.28 |
0.25 |
0.23 |
0.22 |
0.20 |
0.19 |
0.18 |
0.18 |
0.15 |
0.12 |
0.10 |
| |
Inner diameter of CO2 tube |
[mm] |
2.74 |
2.21 |
1.91 |
1.69 |
1.53 |
1.42 |
1.32 |
1.24 |
1.17 |
1.12 |
1.07 |
0.93 |
0.76 |
0.62 |
| |
CO2-side heat transfer coefficient |
[W/(m2·K)] |
7024 (1.000) |
7358 (1.048) |
7566 (1.077) |
7898 (1.124) |
8109 (1.154) |
8193 (1.167) |
8349 (1.189) |
8416 (1.198) |
8553 (1.218) |
8585 (1.222) |
8660 (1.233) |
8782 (1.250) |
9079 (1.293) |
9327 (1.328) |
| |
CO2-side pressure loss |
[kPa] |
163.56 (1.000) |
160.95 (0.984) |
160.75 (0.983) |
166.07 (1.015) |
166.52 (1.018) |
163.96 (1.002) |
164.79 (1.008) |
162.72 (0.995) |
167.36 (1.023) |
166.00 (1.015) |
166.75 (1.020) |
166.90 (1.020) |
167.27 (1.023) |
167.39 (1.023) |
| |
Weight of detection tube |
[kg] |
2.67 (1.000) |
2.47 (0.924) |
2.41 (0.903) |
2.30 (0.862) |
2.22 (0.831) |
2.19 (0.821) |
2.15 (0.805) |
2.13 (0.797) |
2.16 (0.807) |
2.17 (0.811) |
2.17 (0.813) |
2.26 (0.847) |
2.30 (0.861) |
2.39 (0.896) |
| |
Weight of CO2 tube |
[kg] |
1.31 (1.000) |
0.94 (0.719) |
0.77 (0.590) |
0.63 (0.483) |
0.54 (0.412) |
0.48 (0.370) |
0.43 (0.331) |
0.40 (0.304) |
0.37 (0.286) |
0.35 (0.271) |
0.33 (0.256) |
0.29 (0.221) |
0.22 (0.170) |
0.17 (0.132) |
| Heat exchanger |
Amount of heat exchange |
[W] |
4738 (1.000) |
4723 (0.997) |
4729 (0.998) |
4727 (0.998) |
4726 (0.997) |
4726 (0.997) |
4726 (0.997) |
4726 (0.997) |
4728 (0.998) |
4727 (0.998) |
4727 (0.998) |
4727 (0.998) |
4726 (0.997) |
4726 (0.997) |
| Total weight |
[kg] |
7.00 (1.000) |
6.31 (0.901) |
6.09 (0.870) |
5.75 (0.822) |
5.49 (0.785) |
5.40 (0.771) |
5.26 (0.751) |
5.18 (0.740) |
5.27 (0.753) |
5.30 (0.758) |
5.33 (0.761) |
5.64 (0.807) |
5.78 (0.826) |
6.08 (0.868) |
[0054] The graphs of FIG. 5 and FIG. 6 show the results in Table 3. In the graph of FIG.
5, the horizontal axis indicates the path number N and the vertical axis indicates
weight. In FIG. 5, the leftmost marks correspond to the results of the reference example.
In the graph of FIG. 6, the horizontal axis indicates the inner diameter φin of the
outer tube and the vertical axis indicates the path number N. As shown in FIG. 6,
in order to reduce the weight while keeping the heat exchanging capacity equivalent
to that of the reference example, it is necessary to choose appropriately the inner
diameter φin of the outer tube in accordance with the path number N.
[0055] As shown in Table 3 and FIG. 5, when the gap width G was 0.4 mm, the heat exchanger
had a minimum weight under the conditions that φin = 6.82 mm and it had nine paths.
However, a path number N exceeding 8 may lower the productivity.
[0056] Next, various combinations of the inner diameter φin of the outer tube and the path
number N were investigated under each condition that (a) the gap width G was 0.8 mm,
(b) the gap width G was 0 mm, and (c) the gap width G was optimized. Table 4 shows
the results in the case of (a). Table 5 shows the results in the case of (b). Table
6 shows the results in the case of (c). Further, FIG. 7 shows the results in Tables
3 to 6.
[Table 4]
| |
φ 9.5 x4 paths |
φ 8.9 x5 paths |
φ 8.5 x6 paths |
φ 8.2 x7 paths |
φ 7.9 x8 paths |
|
φ 10.8 x2 paths |
| Outer tube (Water) |
Outer diameter |
[mm] |
10.70 |
10.10 |
9.70 |
9.40 |
9.10 |
|
12.00 |
| Thickness |
[mm] |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
|
0.60 |
| Inner diameter |
[mm] |
9.50 |
8.90 |
8.50 |
8.20 |
7.90 |
|
10.80 |
| |
Gap |
[mm] |
0.80 |
0.80 |
0.80 |
0.80 |
0.80 |
|
0.40 |
| |
Path number |
[-] |
4 |
5 |
6 |
7 |
8 |
|
2 |
| |
Tube length |
[m] |
5.08 |
4.24 |
3.60 |
3.19 |
2.84 |
|
7.92 |
| |
Water-side cross-sectional area |
[mm2] |
180.89 (1.000) |
199.91 (1.105) |
218.93 (1.210) |
238.33 (1.318) |
253.01 (1.399) |
|
102.42 |
| |
Water-side heat transfer coefficient |
[W/(m2·K)] |
4059 (1.000) |
4315 (1.063) |
4568 (1.125) |
4667 (1.150) |
4858 (1.197) |
|
4236 |
| |
Water-side pressure loss |
[kPa] |
3.71 (1.000) |
3.29 (0.884) |
2.96 (0.796) |
2.62 (0.704) |
2.44 (0.658) |
|
10.48 |
| |
Weight of outer tube |
[kg] |
3.44 (1.000) |
3.37 (0.981) |
3.29 (0.958) |
3.29 (0.957) |
3.23 (0.941) |
|
3.02 |
| Inner tube (CO2) |
Outer diameter of detection tube |
[mm] |
3.95 |
3.65 |
3.45 |
3.30 |
3.15 |
|
5.00 |
| Thickness of detection tube |
[mm] |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
|
0.68 |
| |
Outer diameter of CO2 tube |
[mm] |
2.59 |
2.29 |
2.09 |
1.94 |
1.79 |
|
3.64 |
| |
Thickness of CO2 tube |
[mm] |
0.32 |
0.28 |
0.26 |
0.24 |
0.22 |
|
0.45 |
| |
Inner diameter of CO2 tube |
[mm] |
1.95 |
1.72 |
1.57 |
1.46 |
1.35 |
|
2.74 |
| |
CO2-side heat transfer coefficient |
[W/(m2·K)] |
7315 (1.000) |
7603 (1.039) |
7697 (1.052) |
7742 (1.058) |
8031 (1.098) |
|
7024 |
| |
CO2-side pressure loss |
[kPa] |
157.44 (1.000) |
161.68 (1.027) |
156.80 (0.996) |
152.79 (0.970) |
160.52 (1.020) |
|
163.56 |
| |
Weight of detection tube |
[kg] |
2.64 (1.000) |
2.54 (0.961) |
2.46 (0.932) |
2.43 (0.922) |
2.38 (0.900) |
|
2.67 |
| |
Weight of CO2 tube |
[kg] |
0.86 (1.000) |
0.71 (0.827) |
0.62 (0.716) |
0.56 (0.646) |
0.49 (0.569) |
|
1.31 |
| Heat exchanger |
Amount of heat exchange |
[W] |
4729 (1.000) |
4729 (1.000) |
4728 (1.000) |
4727 (1.000) |
4728 (1.000) |
|
4738 |
| Total weight |
[kg] |
6.94 (1.000) |
6.62 (0.955) |
6.37 (0.918) |
6.28 (0.905) |
6.10 (0.879) |
|
7.00 |
[Table 5]
| |
φ 9.2 x4 paths |
φ 8.6 x5 paths |
φ 8.2 x6 paths |
φ 7.9 x7 paths |
φ 7.7 x8 paths |
|
φ 10.8 x2 paths |
| Outer tube (Water) |
Outer diameter |
[mm] |
10.40 |
9.80 |
9.40 |
9.10 |
8.90 |
|
12.00 |
| Thickness |
[mm] |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
|
0.60 |
| Inner diameter |
[mm] |
9.20 |
8.60 |
8.20 |
7.90 |
7.70 |
|
10.80 |
| |
Gap |
[mm] |
0.00 |
0.00 |
0.00 |
0.00 |
0.00 |
|
0.40 |
| |
Path number |
[-] |
4 |
5 |
6 |
7 |
8 |
|
2 |
| |
Tube length |
[m] |
4.56 |
3.82 |
3.27 |
2.92 |
2.61 |
|
7.92 |
| |
Water-side cross-sectional area |
[mm2] |
124.54 (1.000) |
132.81 (1.066) |
140.05 (1.125) |
148.18 (1.190) |
154.85 (1.243) |
|
102.42 |
| |
Water-side heat transfer coefficient |
[W/(m2·K)] |
5085 (1.000) |
5524 (1.086) |
5985 (1.177) |
6222 (1.224) |
6558 (1.290) |
|
4236 |
| |
Water-side pressure bss |
[kPa] |
10.36 (1.000) |
10.29 (0.994) |
10.50 (1.014) |
10.22 (0.987) |
10.40 (1.004) |
|
10.48 |
| |
Weight of outer tube |
[kg] |
2.99 (1.000) |
2.94 (0.983) |
2.89 (0.966) |
2.91 (0.972) |
2.90 (0.970) |
|
3.02 |
| Inner tube (CO2) |
Outer diameter of detection tube |
[mm] |
4.60 |
4.30 |
4.10 |
3.95 |
3.85 |
|
5.00 |
| Thickness of detection tube |
[mm] |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
|
0.68 |
| |
Outer diameter of CO2 tube |
[mm] |
3.24 |
2.94 |
2.74 |
2.59 |
2.49 |
|
3.64 |
| |
Thickness of CO2 tube |
[mm] |
0.40 |
0.36 |
0.34 |
0.32 |
0.31 |
|
0.45 |
| |
Inner diameter of CO2 tube |
[mm] |
2.44 |
2.21 |
2.06 |
1.95 |
1.87 |
|
2.74 |
| |
CO2-side heat transfer coefficient |
[W/(m2·K)] |
4702 (1.000) |
4650 (0.989) |
4528 (0.963) |
4403 (0.936) |
4219 (0.897) |
|
7024 |
| |
CO2-side pressure loss |
[kPa] |
49.39 (1.000) |
45.30 (0.917) |
40.45 (0.819) |
36.67 (0.742) |
32.15 (0.651) |
|
163.56 |
| |
Weight of detection tube |
[kg] |
2.88 (1.000) |
2.85 (0.987) |
2.84 (0.985) |
2.88 (0.999) |
2.93 (1.017) |
|
2.67 |
| |
Weight of CO2 tube |
[kg] |
1.23 (1.000) |
1.08 (0.880) |
0.99 (0.807) |
0.94 (0.765) |
0.91 (0.743) |
|
1.31 |
| Heat exchanger |
Amount of heat exchange |
[W] |
4729 (1.000) |
4729 (1.000) |
4729 (1.000) |
4729 (1.000) |
4728 (1.000) |
|
4738 |
| Total weight |
[kg] |
7.11 (1.000) |
6.87 (0.967) |
6.72 (0.946) |
6.73 (0.947) |
6.75 (0.950) |
|
7.00 |
[Table 6]
| |
φ 8.2 x4 paths |
φ 7.58 x5 paths |
φ 7.14 x6 paths |
φ 6.78 x7 paths |
φ 6.52 x8 paths |
|
φ 10.8 x2 paths |
| Outer tube (Water) |
Outer diameter |
[mm] |
9.40 |
8.78 |
8.34 |
7.98 |
7.72 |
|
12.00 |
| Thickness |
[mm] |
0.60 |
0.60 |
0.60 |
0.60 |
0.60 |
|
0.60 |
| Inner diameter |
[mm] |
8.20 |
7.58 |
7.14 |
6.78 |
6.52 |
|
10.80 |
| |
Gap |
[mm] |
0.22 |
0.20 |
0.19 |
0.17 |
0.16 |
|
0.40 |
| |
Path number |
[-] |
4 |
5 |
6 |
7 |
8 |
|
2 |
| |
Tube length |
[m] |
4.54 |
3.76 |
3.19 |
2.81 |
2.49 |
|
7.92 |
| |
Water-side cross-sectional area |
[mm2] |
112.36 (1.000) |
118.30 (1.053) |
123.93 (1.103) |
128.18 (1.141) |
132.78 (1.182) |
|
102.42 |
| |
Water-side heat transfer coefficient |
[W/(m2·K)] |
5273 (1.000) |
5758 (1.092) |
6246 (1.185) |
6562 (1.244) |
6932 (1.315) |
|
4236 |
| |
Water-side pressure bss |
[kPa] |
10.51 (1.000) |
10.41 (0.991) |
10.40 (0.990) |
10.33 (0.983) |
10.34 (0.984) |
|
10.48 |
| |
Weight of outer tube |
[kg] |
2.67 (1.000) |
2.57 (0.962) |
2.48 (0.927) |
2.43 (0.908) |
2.37 (0.888) |
|
3.02 |
| Inner tube (CO2) |
Outer diameter of detection tube |
[mm] |
3.88 |
3.59 |
3.38 |
3.22 |
3.10 |
|
5.00 |
| Thickness of detection tube |
[mm] |
0.68 |
0.68 |
0.68 |
0.68 |
0.68 |
|
0.68 |
| Outer diameter of CO2 tube |
[mm] |
2.52 |
2.23 |
2.02 |
1.86 |
1.74 |
|
3.64 |
| |
Thickness of CO2 tube |
[mm] |
0.31 |
0.28 |
0.25 |
0.23 |
0.22 |
|
0.45 |
| |
Inner diameter of CO2 tube |
[mm] |
1.90 |
1.68 |
1.52 |
1.40 |
1.31 |
|
2.74 |
| |
CO2-side heat transfer coefficient |
[W/(m2·K)] |
7663 (1.000) |
7946 (1.037) |
8166 (1.066) |
8342 (1.089) |
8415 (1.098) |
|
7024 |
| |
CO2-side pressure loss |
[kPa] |
160.62 (1.000) |
162.98 (1.015) |
163.64 (1.019) |
164.58 (1.025) |
161.30 (1.004) |
|
163.56 |
| |
Weight of detection tube |
[kg] |
2.30 (1.000) |
2.20 (0.955) |
2.12 (0.919) |
2.07 (0.898) |
2.03 (0.883) |
|
2.67 |
| |
Weight of CO2 tube |
[kg] |
0.73 (1.000) |
0.60 (0.822) |
0.51 (0.700) |
0.45 (0.617) |
0.41 (0.556) |
|
1.31 |
| Heat exchanger |
Amount of heat exchange |
[W] |
4729 (1.000) |
4728 (1.000) |
4728 (1.000) |
4728 (1.000) |
4728 (1.000) |
|
4738 |
| Total weight |
[kg] |
5.71 (1.000) |
5.37 (0.941) |
5.11 (0.895) |
4.95 (0.867) |
4.81 (0.843) |
|
7.00 |
[0057] A gap width G exceeding 0.8 mm may lower the heat transfer coefficient on the surface
of the inner tube and deteriorate the heat exchanging performance notably. Thus, no
simulation was conducted in a range exceeding 0.8 mm. On the other hand, the lower
limit of the gap width G is not particularly limited. As shown in Table 6, however,
the optimization of the gap width G can reduce the weight of the heat exchanger maximally
compared to the case of the reference example.
[0058] That is, the data obtained when the gap width G was optimized in a range in which
the pressure loss of the second fluid (water) did not exceed a certain value indicates
the gap width G that can minimize the weight of the heat exchanger. Thus, the data
obtained when the gap width G was optimized can be regarded as a suitable lower limit.
Moreover, in Table 6, the lowest value of the gap width G is 0.16 mm, and the path
number N at that time is 8.
[0059] As can be understood from the data obtained when the gap width G was 0 mm, when the
gap width G comes closer to 0 mm, it becomes necessary to suppress the pressure loss
of the water, making it necessary to increase the inner diameter φin of the outer
tube. As a result, the inner diameter φin of the outer tube when the gap width G is
0 mm is larger than the inner diameter φin of the outer tube when the gap width G
is 0.4 mm.
[0060] As shown in FIG. 7, in the case where 8.20 ≤ φin ≤ 9.50 is satisfied when N = 4,
it is possible to reduce the weight of the double flow passage heat exchanger while
keeping the heat exchanging capacity equivalent to that of the reference example.
Similarly, it is possible to reduce the weight of the double flow passage heat exchanger
by satisfying 7.58 ≤ φin ≤ 8.90 when N = 5, 7.14 ≤ φin ≤ 8.50 when N = 6, 6.78 ≤ φin
≤ 8.20 when N = 7, and 6.52 ≤ φin ≤ 7.90 when N = 8.
[0061] In this simulation, the detection tube and the inner tube are regarded as one integrated
tube, the presence of the detection tube does not affect the results of the simulation.
The detection tube has a fixed thickness of 0.68 mm. In the case where no detection
tube is used, it is necessary to increase the thickness of the smooth-inner-surface
tube in order to enhance the corrosion resistance.
[0062] Next, the material of the outer tube was changed to polyphenylene sulfide (PPS) containing
a glass filler at a ratio of 30 wt%, and the same simulation as the one yielded the
results of Table 3 was conducted. Table 7 and FIG. 8 show the results. As in Table
3 and FIG. 5, the leftmost column in Table 7 and the leftmost marks in FIG. 8 correspond
to the results of the reference example.
[Table 7]
| |
|
φ 10.8 x 2 paths |
φ 9.4 × 3 paths |
φ 8.6 x 4 paths |
φ 8.0 x 5 paths |
φ 7.58 x 6 paths |
φ 7.28 x 7 paths |
φ 7.02 x 8 paths |
φ 6.82 x 9 paths |
φ 6.64 x 10 paths |
φ 6.5 x 11 paths |
φ 6.37 x 12 paths |
φ 6.0 x 16 paths |
φ 5.54 x 24 paths |
φ 5.17 x 36 paths |
| Outer tube (Water) |
Thickness |
[mm] |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
0.94 |
| Weight of outer tube |
[kg] |
0.84 |
0.81 |
0.82 |
0.80 |
0.77 |
0.77 |
0.76 |
0.75 |
0.78 |
0.79 |
0.80 |
0.88 |
0.93 |
1.01 |
| Heat exchanger |
Total weight |
[kg] |
4.82 |
4.22 |
4.00 |
3.73 |
3.53 |
3.44 |
3.34 |
3.28 |
3.31 |
3.31 |
3.30 |
3.43 |
3.45 |
3.57 |
[0063] As shown in Table 7 and FIG. 8, even with the outer tube made of a resin, the heat
exchanger had a minimum weight under the conditions that φin = 6.82 mm and it had
nine paths as in the case where the outer tube made of copper was used. The graph
of FIG. 8 exhibited the same tendency as that of the graph of FIG. 5. This indicates
that the conclusion (see FIG. 7) obtained from the heat exchanger including the outer
tube made of copper holds true for the heat exchanger including the outer tube made
of a resin.
INDUSTRIAL APPLICABILITY
[0064] The heat exchanger of the present invention can be used for apparatuses such as a
heat pump type water heater and a hot water heating system.