The present invention relates to hot water heater technology. More specifically, the present invention relates to a hot water corrugated heat transfer tube in which the Reynolds number Re of a fluid flowing inside the tube is less than 7,000.
Heat exchangers used in air conditioners, hot water heaters, and the like, are provided with a heat transfer tube in which a fluid such as water flows and which exchanges heat due to the temperature differential between the tube interior and exterior. Furthermore, to improve the heat transfer performance of the heat transfer tube, a grooved tube in which grooves are formed on the tube inner surface is used in some cases. In addition, a technology has also been proposed which improves the heat transfer performance by providing projections on the inner surface of the heat transfer tube.
Providing projections inside the heat transfer tube in this manner increases the heat transfer surface area of the heat transfer tube and agitates the fluid, thereby increasing the heat transfer coefficient of the heat transfer surface and improving the heat transfer performance. However, when projections are provided inside the heat transfer tube, the projections increase the friction factor inside the tube and raise the pressure loss of the flow inside the tube. Therefore, a technology has been proposed that provides projections 0.45-0.6 mm in height inside the heat transfer tube, thereby suppressing the pressure loss while promoting the transfer of heat with the refrigerant (Patent Document 1). In addition, a technology that improves the heat transfer performance by employing a corrugated heat transfer tube has been also suggested (Patent Document 2).
Patent Document 1
Japanese Examined Patent Application No. H06-70556
Patent Document 2
Japanese Unexamined Patent Application No. 2002-228370
However, when the flow speed of the fluid inside the heat transfer tube is extremely low and the flow of the fluid inside the tube is in the transition zone where the flow transitions from the laminar flow zone to the turbulent flow zone, the improvement in the heat transfer performance is small, even when projections are provided each whose height is 0.45-0.6 mm, as disclosed in the Patent Document 1.
For example, in a heat pump type hot water heater, as shown in
In addition, when the flow speed of the fluid inside the heat transfer tube is extremely low and the flow of the fluid inside the tube is in the transition zone where the flow transitions from the laminar flow zone to the turbulent flow zone, the improvement in the heat transfer performance simply by means of the corrugated tube is small. Further, since the corrugated tube causes a strong turbulence at the boundary of the tube wall, the friction factor inside the tube increases considerably compared to a smooth tube depending on the depth of the corrugated groove, which consequently increases the pressure loss of the flow inside the tube.
It is an object of the present invention to overcome the abovementioned problems of the background art, and to provide a hot water corrugated heat transfer tube wherein, with a simple structure, the heat transfer performance in the low Reynolds number zone is improved, and the pressure loss inside the tube is small.
A hot water corrugated heat transfer tube according to a first aspect of the invention is a hot water corrugated heat transfer tube that exchanges heat between its interior and exterior, in which a plurality of projections each having a height H1 of 0.5-1.5 mm is provided in at least one part of the inner surface of a portion positioned in a section where the Reynolds number Re of a fluid flowing in the interior is less than 7,000.
When a corrugated tube is employed as a heat transfer tube, turbulence is caused by a corrugated groove, which results in the improvement of the heat transfer performance. On the other hand, in the low Reynolds number section where the laminar flow zone is produced and the transition from the laminar flow zone to the turbulent flow zone occurs, the depth of the corrugated groove needs to be increased in order to achieve the improvement in the heat transfer performance by simply employing a corrugated tube. In this manner, the friction factor inside the tube increases and the pressure loss inside the tube increases.
Consequently, a plurality of projections that protrude toward the inside of the tube and have a height of 0.5-1.5 mm is provided on the inner surface of the portion positioned in the low Reynolds number section where the laminar flow zone is produced and the transition from the laminar flow zone to the turbulent flow zone occurs, i.e., in the section where the Reynolds number Re is less than 7,000. As a result, the projections provided inside the corrugated tube and the tube improve the heat transfer coefficient, the depth of the corrugated grooves is reduced, and the impact of the projections on the pressure loss inside the tube is small, thereby improving the performance of the entire hot water corrugated heat transfer tube.
A hot water corrugated heat transfer tube according to a second aspect of the invention is a hot water corrugated heat transfer tube that exchanges heat between its interior and exterior, in which a plurality of projections each whose height H1 is 0.05-0.15 times an inner diameter D is provided in at least one part of the inner surface of a portion positioned in a section where the Reynolds number Re of a fluid flowing in the interior is less than 7,000.
When projections are provided inside the tube, the friction factor inside the tube is a function of the Reynolds number Re and the relative roughness. Here, the ratio of the height of the projections provided inside the tube to the tube inner diameter (i.e., the relative roughness) is used to represent the impact of the projections inside the tube on the friction factor inside the tube. Setting the relative roughness of the tube inner wall surface to a prescribed range in the low Reynolds number section, where the transition from the laminar flow zone to the turbulent flow zone occurs, improves the heat transfer effect and enables to minimize the impact of the pressure loss.
Consequently, a plurality of projections each whose height H1 is 0.05-0.15 times the inner diameter D is provided on the inner surface of the portion positioned in the low Reynolds number section where the laminar flow zone is produced and the transition from the laminar flow zone to the turbulent flow zone occurs, i.e., in the section where the Reynolds number Re is less than 7,000. As a result, the projections provided inside the tube improve the heat transfer coefficient, and reduce the impact of the projections on the pressure loss inside the tube, thereby improving the performance of the entire hot water corrugated heat transfer tube.
A hot water corrugated heat transfer tube according to a third aspect of the invention is a heat transfer tube used in a heat exchanger of a hot water heater and configured to exchange heat between its interior and exterior, in which a plurality of projections each whose height (H1) is in the range of 1-3 times the depth (Hm) of the corrugated grooves is provided in at least one part of the inner surface of a portion positioned in a section where the Reynolds number (Re) of a fluid flowing in the interior is less than 7,000.
When the projections are provided in the heat transfer tube in which the corrugated grooves are provided, it is necessary to improve the heat transfer effect by the height (H1) of the projections and the depth (Hm) of the corrugated grooves and also minimize the impact caused by the pressure loss. In the low Reynolds number section where the Reynolds number (Re) is less than 7,000, when the height (H1) of the plurality of projections is in the range of 1-3 times the depth (Hm) of the corrugated grooves, the corrugated tube and the projections provided inside the tube improve the heat transfer coefficient, the depth of the corrugated grooves is reduced, and the impact of the projections on the pressure loss inside the tube is small, thereby improving the performance of the entire hot water corrugated heat transfer tube.
A hot water corrugated heat transfer tube according to a fourth aspect of the invention is a heat transfer tube used in a heat exchanger of a hot water heater and configured to exchange heat between its interior and exterior, in which a plurality of projections is provided in at least one part of the inner surface of a portion positioned in a section where the Reynolds number (Re) of a fluid flowing in the interior is less than 7,000, and the value of the pitch (P1) of the plurality of projections is different from the value of the pitch (Pm) of the corrugated grooves.
When the projections and the corrugated grooves are provided at positions where they overlap each other, the friction factor inside the tube increases and there is a risk that the pressure loss inside the tube rapidly increases. Here, setting the value of the pitch (P1) of the projections to be different from the value of the pitch (Pm) of the corrugated grooves will allow the projections and the corrugated grooves to be disposed at positions where they do not overlap each other, and thus the rapid increase in the pressure loss inside the tube can be suppressed.
A hot water corrugated heat transfer tube according to a fifth aspect of the invention is a heat transfer tube used in a heat exchanger of a hot water heater and configured to exchange heat between its interior and exterior, in which a plurality of projections each whose height H1 is 0.5-1.5 mm is provided on the inner surface of a portion positioned in the vicinity of an inlet into which water, which is the fluid flowing in the interior, flows.
The flow of the water in the vicinity of the inlet of the heat transfer tube used in the hot water heat exchanger corresponds to the laminar flow zone and/or the transition zone where the flow transitions from the laminar flow zone to the turbulent flow zone. The water temperature in the vicinity of the inlet of the heat transfer tube is low, and the heat transfer coefficient is also low. Accordingly, in the present invention, a plurality of projections each having a height of 0.5-1.5 mm is provided on the inner surface of the portion positioned at least in the vicinity of the water inlet, thereby improving the heat transfer coefficient due to the projections provided inside the tube. In addition to improving the heat transfer coefficient due to the projections, the impact of the projections on the pressure loss inside the tube is small, thereby improving the performance of the entire hot water corrugated heat transfer tube.
A hot water corrugated heat transfer tube according to a sixth aspect of the invention is a heat transfer tube used in a heat exchanger of a hot water heater and configured to exchange heat between its interior and exterior, in which a plurality of projections each whose height H1 is 0.05-0.15 times the inner diameter D is provided on the inner surface of a portion positioned in the vicinity of a fluid inlet into which water, which is the fluid flowing in the interior, flows.
In the hot water heat exchanger, the flow of the water in the vicinity of the inlet of the heat transfer tube corresponds to the laminar flow zone and/or the transition zone where the flow transitions from the laminar flow zone to the turbulent flow zone. In addition, the water temperature in the vicinity of the inlet of the heat transfer tube is low, and the heat transfer coefficient is also low. Accordingly, in this hot water heat exchanger, a plurality of projections each whose height is 0.05-0.15 times the heat transfer tube inner diameter is provided on the inner surface of the heat transfer tube positioned at least in the vicinity of the water inlet. As a result, the heat transfer coefficient due to the projections provided inside the tube is improved, and the impact of the projections on the pressure loss inside the tube is suppressed, thereby improving the performance of the entire hot water corrugated heat transfer tube.
A hot water corrugated heat transfer tube according to a seventh aspect of the invention is a heat transfer tube used in a heat exchanger of a hot water heater and configured to exchange heat between its interior and exterior, in which a plurality of projections each whose height (H1) is in the range of 1-3 times the depth (Hm) of the corrugated grooves is provided on the inner surface of the portion positioned in the vicinity of an inlet into which water, which is the fluid flowing in the interior, flows.
The flow of the water in the vicinity of the inlet of the heat transfer tube corresponds to the laminar flow zone and/or the transition zone where the flow transitions from the laminar flow zone to the turbulent flow zone. In addition, the water temperature in the vicinity of the inlet of the heat transfer tube is low, and the heat transfer coefficient is also low. Here, the projections are provided inside the heat transfer tube in which the corrugated grooves are provided in order to improve the heat transfer coefficient. However, when the projections are provided in the heat transfer tube in which the corrugated grooves are provided, it is necessary to improve the heat transfer effect by the height (H1) of the projections and the depth (Hm) of the corrugated grooves and also minimize the impact caused by the pressure loss. In the low Reynolds number section where the Reynolds number (Re) is less than 7,000, when the height (H1) of the plurality of projections is in the range of 1-3 times the depth (Hm) of the corrugated grooves, the corrugated tube and the projections provided inside the tube improve the heat transfer coefficient, the depth of the corrugated grooves is reduced, and the impact of the projections on the pressure loss inside the tube is small, thereby improving the performance of the entire hot water corrugated heat transfer tube.
A hot water corrugated heat transfer tube according to an eighth aspect of the invention is a heat transfer tube used in a heat exchanger of a hot water heater and configured to exchange heat between its interior and exterior, in which a plurality of projections is provided on the inner surface of the portion positioned in the vicinity of an inlet into which water, which is the fluid flowing in the interior, flows, and the value of the pitch (P1) of the plurality of projections is different from the value of the pitch (P2) of the corrugated grooves.
The flow of the water in the vicinity of the inlet of the heat transfer tube corresponds to the laminar flow zone and/or the transition zone where the flow transitions from the laminar flow zone to the turbulent flow zone. In addition, the water temperature in the vicinity of the inlet of the heat transfer tube is low, and the heat transfer coefficient is also low. Here, the projections are provided inside the heat transfer tube in which the corrugated grooves are provided in order to improve the heat transfer coefficient. However, when the projections and the corrugated grooves are provided at positions where they overlap each other, the friction factor inside the tube increases and there is a risk that the pressure loss inside the tube rapidly increases. Therefore, setting the value of the pitch (P1) of the projection to be different from the value of the pitch (P2) of the corrugated grooves will allow the projections and the corrugated grooves to be disposed at positions where they do not overlap each other, and thus the rapid increase in the pressure loss inside the tube can be suppressed.
A hot water corrugated heat transfer tube according to a ninth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which the flow speed of the fluid flowing in the interior is 0.1-0.6 m/s. Furthermore, it is preferable that the flow speed of the fluid flowing inside the hot water corrugated heat transfer tube is 0.2-0.4 m/s. Here, when the flow speed of the fluid inside the tube is less than 0.1 m/s, the heat transfer coefficient of the corrugated heat transfer tube is extremely low. On the other hand, when the flow speed of the fluid inside the corrugated tube exceeds 0.6 m/s, the friction factor inside the corrugated tube increases and the pressure loss inside the tube increases. Accordingly, the range of the flow speed of the fluid flowing in the interior is set to 0.1-0.6 m/s. As a result, the heat transfer coefficient due to the corrugated groove and the projections provided inside the tube improves, and the impact of the projections on the pressure loss inside the tube is suppressed, thereby improving the performance of the entire hot water corrugate heat transfer tube.
A hot water corrugated heat transfer tube according to a tenth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which the cross sectional shape at an arbitrary height of each projection is a smooth curve like a circle, an ellipse, or an approximate circle.
Examples of factors that influence the pressure loss of the fluid inside the tube due to the projections inside the corrugated tube include the height of the corrugated grooves, the Reynolds number and flow speed of the fluid inside the tube, the height of the projections, as well as the shape of the projections. When the projections are acute angle shaped, separation vortices are generated, by the flow rounding the angle, which increases the pressure loss of the fluid.
Consequently, the cross sectional shape at an arbitrary height of a projection comprises a smooth curve, such as a circle, an ellipse, or an approximate circle. In other words, because the outer circumferential surface of the projections are formed with a smooth curved surface, the generation of separation vortices can be suppressed compared with projections that are acute angle shaped, and the impact of the loss of pressure of the fluid inside the tube is suppressed, thereby improving the performance of the entire corrugated heat transfer tube.
A hot water corrugated heat transfer tube according to an eleventh aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which the projections are not provided in a section positioned in the vicinity of a fluid outlet out of which the fluid flows.
When the temperature of the fluid is high at a fluid outlet part of the corrugated heat transfer tube and, for example, the fluid is water, there is a risk of scaling on the inner surface of the corrugated tube. When projections are provided in such a section, there is a risk that the projections will promote scaling. Accordingly, scaling is suppressed by the usage of a tube not provided with projections, e.g., by using a smooth tube, in the section positioned in the vicinity of the fluid outlet, where the temperature of the fluid is high.
A hot water corrugated heat transfer tube according to a twelfth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which grooves each having a depth shallower than the height H1 of each projection are formed on the tube inner surface.
In the low Reynolds number zone, among the projections provided on the corrugated heat transfer tube inner surface, the large projections contribute more to the improvement in the heat transfer coefficient than the small projections. Accordingly, providing inside the corrugated heat transfer tube projections each whose height is greater than the depth of grooves in a grooved tube improves the heat transfer effect. However, in the high Reynolds number zone, grooves shallower than the height of the projections contribute more to the improvement in the heat transfer coefficient. Accordingly, in the high Reynolds zone, the heat transfer performance of the corrugated heat transfer tube is further improved by the usage of the grooved tube in which grooves shallower than the height of the projections are formed on the inner surface.
A hot water corrugated heat transfer tube according to a thirteenth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention in which the plurality of projections is provided parallel to the tube axial direction.
By providing projections in the tube axial direction, the promotion of heat transfer is performed in a continuous manner. In addition, because the fluid flows linearly in the tube axial direction, the additional pressure loss is small, thereby improving the performance of the entire heat transfer tube.
A hot water corrugated heat transfer tube according to a fourteenth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which the plurality of projections is helically provided.
Helically providing the projections generates a turning in the flow of the fluid inside the tube, and increases the length of the passage of the fluid, thereby further increasing the heat transfer performance.
A hot water corrugated heat transfer tube according to a fifteenth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which the plurality of projections is provided such that they are paired at opposing positions in the radial direction of the heat transfer tube.
Providing projections such that they form pairs at opposing positions in the radial direction reduces the cross sectional area in the vicinity of the projections, promotes the mixing of the fluid, and further improves the heat transfer performance.
A hot water corrugated heat transfer tube according to a sixteenth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which the ratio of a pitch P1 of the plurality of projections to the heat transfer tube inner diameter D is 0.5-10.
When the ratio of the pitch P1 of the projections to the heat transfer tube inner diameter D is equal to or less than 0.5, heat transfer is promoted, and the pressure loss increases due to the effect of the projections on the upstream side. In addition, when the ratio of the pitch P1 of the projections to the heat transfer tube inner diameter D is equal to or greater than 10, the promotion of heat transfer decreases.
Consequently, by setting the ratio of the pitch P1 of the projections to the heat transfer tube inner diameter D to 0.5-10, the promotion of heat transfer is maintained. At the same time, the increase in the pressure loss is small, and the performance of the entire heat transfer tube improves.
A hot water corrugated heat transfer tube according to a seventeenth invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which small projections each whose height (H2) is less than 0.5 mm are provided between the plurality of projections.
In the low Reynolds number zone, the large projections contribute more to the improvement in the heat transfer coefficient than the small projections, and, in the high Reynolds number zone, the small projections (small projections) contribute more to the improvement in the heat transfer coefficient than the large projections. Accordingly, providing small projections between the large projections achieves a synergistic effect in that the heat transfer performance due to the large projections is improved in the section where the Reynolds number is low, and the heat transfer performance due to the small projections is improved in the section where the Reynolds number is high, thereby improving the performance of the entire heat exchanger.
A hot water corrugated heat transfer tube according to an eighteenth invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which a smooth part not provided with projections exists on the inner surface of the heat transfer tube.
In the smooth part without projections, the cross sectional area inside the heat transfer tube is maximal. In other words, there is maximal variation in the shape of the inner surface between the portion where the projections are provided and the portion where the projections are not provided, which improves the heat transfer performance. On the other hand, when a smooth part does not exist on the inner surface of the heat transfer tube, the effect is the same as that obtained in a heat transfer tube whose inner diameter is reduced, i.e., the flow speed of the fluid increases and the heat transfer is promoted, but the pressure loss inside the tube increases.
A hot water corrugated heat transfer tube according to a nineteenth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which the projections are formed by the application of force from the exterior, are formed in a linear part, and are not formed in a bent part.
When the projections are formed on the inner surface of the heat transfer tube by the application of an external force, it is often the case that the outer surface is depressed, and the projections are formed toward the inside of the tube on the inner surface corresponding to the depressed outer surface. In addition, the heat transfer tube generally has a linear part and a bent part. An additional pressure loss due to bending exists in the bent part besides the pressure loss in the linear part. Here, when projections are further provided on the inner surface of the bent part, there is a risk that the pressure loss in the bent part will increase further. In addition, the bending work process creates a large deformation in the depressed region of the outer surface of the heat transfer tube, which creates a risk of breakages, and the like. Therefore, the projections am provided in the linear part, and projections are not provided in the bent part.
A hot water corrugated heat transfer tube according to a twentieth aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which the projections are formed by the application of force from the exterior, and are not formed in a section that intersects the bent surface in the bent part.
In the bent part of the heat transfer tube, the amount of deformation is greatest in the portion that intersects the bent surface. Therefore, in the bent part of the heat transfer tube, projections are not provided in the section that intersects the bent surface. For example, when the heat transfer tube is bent at a horizontal surface, projections are not provided at the section that intersects the horizontal surface in the bent part.
A hot water corrugated heat transfer tube according to a twenty-first aspect of the invention is the hot water corrugated heat transfer tube according to any one of the first aspect through the eighth aspect of the invention, in which a second heat transfer tube is disposed in the exterior to flow a second fluid that supplies heat to the fluid; the second heat transfer tube contacts an outer surface; and the projections are formed on the inner surface by depressing the outer surface, and are formed at a location outside of the portion that contacts the second heat transfer tube.
Here, the projections are formed on the inner surface by depressing the outer surface, and depressions are consequently formed on the outer surface corresponding to the region where the projections are formed on the inner surface. Projections are formed at the portion that contacts the second heat transfer tube. In other words, when depressions are formed on the outer surface, the contact between the heat transfer tube and the second heat transfer tube worsens, thereby reducing the heat transfer effect from the second heat transfer tube. Therefore, by not providing projections in the section of contact with the second heat transfer tube, it is possible to prevent a reduction in the effect of transferring heat from the second heat transfer tube.
a) is a cross sectional perspective view of the corrugated heat transfer tube;
a) is a plan view of a corrugated heat transfer tube according to a third embodiment; and 12(b) is a perspective view of the corrugated heat transfer tube according to the third embodiment.
a) is a plan view of a corrugated heat transfer tube according to a tenth embodiment; and
a) is a perspective view of a corrugated heat transfer tube;
A hot water corrugated heat transfer tube according to the present invention will now be described based on the attached drawings and the embodiments.
Next, the heat pump unit 2 is provided with a refrigerant circulation circuit that comprises a compressor 21, the water heat exchanger 30, an expansion valve 23, and an air heat exchanger 24, which are connected sequentially by a refrigerant tube 32. The refrigerant is compressed to a high pressure by the compressor 21, and is then sent to the water heat exchanger 30. The refrigerant whose heat was exchanged in the water heat exchanger 30 passes through the expansion valve 23, and is supplied to the air heat exchanger 24. The refrigerant absorbs heat from the surroundings, and then is circulated back to the compressor 21.
Next, the corrugated heat transfer tube 31 is described. As shown in
a) is a cross sectional perspective view of the corrugated heat transfer tube 31. In Experiment 1, projections each having the height H1 are provided vertically symmetric on the tube inner surface having an inner diameter D of 8.0 mm in which the corrugated grooves 316 having a depth of Hm are provided.
a) graphs, for each Reynolds number Re in the low Reynolds number section where the laminar flow zone is produced and the transition of the flow inside the tube from the laminar flow zone to the turbulent flow zone occurs, the heat transfer performance in the case of using a corrugated tube not provided with projections and in the case of using a corrugated tube in which the depth of the corrugated grooves is Hm and the height H1 of the projections is 1.2 mm. Here, the horizontal axis represents the value of the Reynolds number Re. The vertical axis represents the ratio (No/Nuo), which is the ratio of the Nusselt number Nu of the corrugated heat transfer tube provided with the projections 313 and the corrugated heat transfer tube not provided with projections to the Nusselt number Nuo of the smooth heat transfer tube. Here, the Nusselt number is the heat transfer coefficient converted to a dimensionless number, which serves as an index of how easily heat transfers from the solid wall to the fluid: the larger that number, the easier that heat conducts from the solid wall to the fluid. Accordingly, the larger the Nu/Nuo value, the greater the improvement in the heat transfer performance of the heat transfer tube due to the projections and corrugated grooves. The solid line represents the experimental results in the case of using the corrugated heat transfer tube provided with the projections 313, and the dotted line represents the experimental results in the case of using the corrugated heat transfer tube not provided with the projections. As shown in
b) graphs, for each Reynolds number Re in the low Reynolds number section where the laminar flow zone is produced and the transition of the flow reside the tube from the laminar flow zone to the turbulent flow zone occurs, the trend in the pressure loss inside the tube in the case of using a corrugated tube not provided with projections and in the case of using the corrugated heat transfer tube 31 whose depth of the corrugated grooves is Hm and the height H1 of the projections is 1.2 mm. Here, the horizontal axis represents the value of the Reynolds number Re. The vertical axis represents the ratio (f/fo), which is the ratio of the Fanning friction factor f of the corrugated heat transfer tube provided with the projections 313 and the corrugated heat transfer tube not provided with projections to the Fanning friction factor fo of the smooth tube. Here, the Fanning friction factor is a dimensionless number that indicates the pressure loss of the flow inside the tube: the larger that number, the greater the pressure loss of the flow inside the tube. Accordingly, the larger the f/fo value, the greater the water pressure loss inside the tube. The solid line represents the experimental results in the case of using the corrugated heat transfer tube provided with the projections 313, and the dotted line represents the experimental results in the case of using the corrugated heat transfer tube not provided with the projections. As shown in
To investigate the impact of the height H1 of the projections 313 on the heat transfer performance and on the pressure loss of the flow inside the tube, Experiment 2 was performed by varying the height H1 of the projections 313 provided on the tube inner surface.
b) graphs the trend in the pressure loss inside the tube. Here, the horizontal axis represents the value of the height H1 of the projections 313. The vertical axis represents the ratio (f/fo), which is the ratio of the Fanning friction factor f of the corrugated heat transfer tube 31 provided with the projections 313 to the Fanning friction factor fo of the smooth tube not provided with projections. The solid line represents the experimental results for the case where the Reynolds number Re is 4,000, and the dotted line represents the experimental results for the case where the Reynolds number Re is 2,000. As shown in
c) graphs the performance of the entire heat transfer tube for the case where projections having differing heights H1 were provided vertically symmetric at a 15.0 mm pitch (in the tube axial direction) in a corrugated heat transfer tube having the inner diameter D of 8.0 mm. In other words, the performance comprehensively taking into consideration the improvement in the heat transfer performance and the suppression of the pressure loss is represented. Here, the horizontal axis represents the value of the height of the projections. The vertical axis represents the value of the ratio (Nu/Nuo), which is the ratio of the Nusselt number Nu of the corrugated heat transfer tube provided with projections to the Nusselt number Nuo of the smooth tube not provided with projections, divided by the ratio (f/fo), which is the ratio of the Fanning friction factor f of the heat transfer tube provided with projections to the Fanning friction factor fo of the smooth tube not provided with projections. As discussed above, the larger the No/Nuo value, the greater the improvement in the heat transfer performance; and the larger the f/fo value, the greater the water pressure loss inside the tube. Accordingly, the larger the value of Nu/Nuo divided by f/fo, the greater the improvement in the heat transfer performance, the smaller the impact that the projections have on the pressure loss inside the tube, and the greater the improvement in the performance of the entire heat transfer tube.
In
In Experiment 3, instead of assigning the height H1 of the projections 313, as is, as an index, the relative roughness (H1/D) serves as the index. To investigate the impact of this relative roughness (H1/D) on the heat transfer performance and on the pressure loss of the flow inside the tube, this experiment was performed by varying the relative roughness (H1/D).
b) graphs the trend in the pressure loss inside the tube. Here, the horizontal axis represents the value of the relative roughness (H1/D). The vertical axis represents the ratio (f/fo), which is the ratio of the Fanning friction factor f of the corrugated heat transfer tube 31 provided with the projections 313 to the Fanning friction factor fo of the smooth tube not provided with projections. The solid line represents the experimental results for the case where the Reynolds number Re is 4,000, and the dotted line represents the experimental results for the case where the Reynolds number Re is 2,000. As shown in
c) graphs the heat transfer performance of the entire corrugated heat transfer tube by varying the relative roughness (H1/D) of the projections. Here, the horizontal axis represents the value of the relative roughness (H1/D). The vertical axis represents the value of the ratio (Nu/Nuo), which is the ratio of the Nusselt number Nu of the heat transfer tube provided with projections to the Nusselt number Nuo of the smooth tube not provided with projections, divided by the ratio (f/fo), which is the ratio of the Fanning friction factor f of the corrugated heat transfer tube provided with projections to the Fanning friction factor fo of the smooth tube not provided with projections. As discussed above, the larger the Nu/Nuo value, the greater the improvement in the heat transfer performance; and the larger the f/fo value, the greater the water pressure loss inside the tube. Accordingly, the larger the value of Nu/Nuo divided by f/fo, the greater the improvement in the heat transfer coefficient, the smaller the impact of the projections on the pressure loss inside the tube, and the greater the improvement in the performance of the entire corrugated heat transfer tube. As shown in
In Experiment 4, besides the height H1 of the projections 313 as the index, the ratio (H1/Hm) of the height H1 of the projections 313 to the depth Hm of the corrugated grooves serves as the index. To investigate the impact of this relative height (H1/Hm) on the heat transfer performance and on the pressure loss of the flow inside the tube, this experiment was performed by varying the relative height (H1/Hm).
b) graphs the trend in the pressure loss inside the tube. Here, the horizontal axis represents the value of the relative height (H1/Hm). The vertical axis represents the ratio (f/fo), which is the ratio of the Fanning friction factor f of the corrugated heat transfer tube 31 provided with the projections 313 to the Fanning friction factor fo of the smooth tube not provided with projections. The solid line represents the experimental results for the case where the Reynolds number Re is 4,000, and the dotted line represents the experimental results for the case where the Reynolds number Re is 2,000. In addition, as shown in
c) graphs the heat transfer performance of the entire heat transfer tube by varying the relative height (H1/Hm) of the projections. Here, the horizontal axis represents the value of the relative height (H1/Hm). The vertical axis represents the value of the ratio (Nu/Nuo), which is the ratio of the Nusselt number Nu of the heat transfer tube provided with projections to the Nusselt number Nuo of the smooth tube not provided with projections, divided by the ratio (f/fo), which is the ratio of the Fanning friction factor f of the heat transfer tube provided with projections to the Fanning friction factor fo of the smooth tube not provided with projections. As shown in
The following embodiments further describe structures that differ from the hot water corrugated heat transfer tube according to the present invention (in the following embodiments, values such as the inner diameter D, the depth Hm of the corrugated grooves, the heights H1, H2 and the pitch of the projections, and the depths of the grooves, are merely for illustrative purposes, and it is also possible to use in these embodiments the values used in the abovementioned experiments, as well as the numerical ranges of the various parameters described in the claims).
As shown in
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a) is a plan view of a corrugated heat transfer tube 69 employed in a tenth embodiment, and
As shown in
In the above described experiments and embodiments, as shown in
Number | Date | Country | Kind |
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200610113027.7 | Sep 2006 | CN | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/JP2007/066436 | 8/24/2007 | WO | 00 | 3/5/2009 |