The present disclosure relates to a heat exchanger.
As a method for enhancing the adhesion in a heat exchanger between a fin and a heat transfer tube that has a round profile, a mechanical tube expansion system is known which uses a pipe expander rod to expand the heat transfer tube (e.g., see Japanese Patent Laying-Open No. 2016-20757).
Even with the mechanical tube expansion system, the heat exchange performance deteriorates if the contact thermal resistance between the fin and the heat transfer tube is high.
In particular, a heat exchanger capable of handling a reduced refrigerant of recent years, increasingly includes a heat transfer tube that has a reduced diameter. As shown in
A primary object of the present disclosure is to provide a heat exchanger capable of inhibiting the deterioration of heat exchanger performance associated with a contact thermal resistance.
A heat exchanger according to the present disclosure includes: a plurality of fins disposed, spaced apart from each other; and a plurality of heat transfer tubes inserted in the plurality of fins. The plurality of heat transfer tubes have round profiles. The plurality of heat transfer tubes have outer circumferential surfaces in contact with the plurality of fins. The plurality of heat transfer tubes have outer diameters D0 of 5.4 mm or less. The plurality of fins and the heat transfer tubes are disposed so that ratios tf/D0 of thicknesses tf of the plurality of fins to the outer diameters D0 are 0.03 or greater.
According to the present disclosure, a heat exchanger can be provided which is capable of inhibiting deterioration of the heat exchanger performance associated with a contact thermal resistance.
Hereinafter, the present embodiment will be described, with reference to the accompanying drawings. Note that, for purpose of explanation,
As shown in
The fins 20 are plate fins. The fins 20 each extend along the first direction X and the third direction Z. The fins 20 are disposed, spaced apart from each other in the second direction Y. The number of fins 20 may be two or more, for example, three or more fins 20. Three or more fins 20 are equidistantly disposed in the second direction Y, for example. Multiple fin collars are formed on each fin 20. Each fin collar is disposed so as to have one heat transfer tube 30 inserted therethrough. The center-to-center distance between adjacent two fins 20 in the second direction Y will be referred to as a fin pitch Fp.
As shown in
The heat transfer tubes 30 are round tubes. Stated differently, each heat transfer tube 30 has a round profile. The heat transfer tube 30 is inserted into the fin 20. The outer circumferential surface of the heat transfer tube 30 is in contact with the fin 20. The heat transfer tubes 30 are expanded by a mechanical tube expansion system, for example. For example, one or more grooves are formed in the inner circumferential surface of each heat transfer tube 30. For example, the heat transfer tubes 30 are what is called grooved-heat transfer tubes. For example, the heat transfer tube 30 is not brazed to the fin 20. In this case, heat transfer tube 30 is formed of a single material, for example. Stated differently, the heat transfer tube 30 is not formed of a clad material. Note that the heat transfer tube 30 may be brazed to the fin 20. In this case, preferably, the heat transfer tube 30 is formed of a clad material. In the following, inside the heat transfer tube 30 will be referred to as intratube, and outside the heat transfer tube 30 will be referred to as extratube.
The heat transfer tubes 30 extend along the second direction Y. The number of heat transfer tubes 30 may be one or more, for example, four or more heat transfer tubes 30. The heat transfer tubes 30 are disposed spaced apart by a spacing Lp (see
Examples of the materials comprising the fins 20 include, but are not particularly limited to, copper (Cu) or aluminum (Al). Examples of the materials comprising the heat transfer tube 30, but are not particularly limited to, Cu or Al. For example, the material comprising each fin 20 includes Al, and the material comprising each heat transfer tube 30 includes Cu.
A flow passage R1 is formed between adjacent two fins 20 in the second direction Y. A first heat-transfer medium such as an air flows through the flow passage R1 in the first direction X. A flow passage R2 is formed inside each heat transfer tube 30. A second heat-transfer medium such as a refrigerant flows through the flow passage R2 in the second direction Y. The first heat-transfer medium exchanges heat with the second heat-transfer medium via the fin 20 and the heat transfer tube 30.
The fins 20 and the heat transfer tubes 30 are disposed so that a ratio tf/D0 of the thickness tf (unit: mm) of each fin 20 to the outer diameter D0 (unit: mm) of each heat transfer tube 30 is greater than or equal to 0.03. The outer diameters D0 of the heat transfer tubes 30 are for example, less than or equal to 5.4 mm. Stated from a different perspective, the fins 20 and the heat transfer tubes 30 are disposed so that a ratio A0K/ΔP of a heat exchanger performance AoK to an extratube pressure loss ΔP (unit: Pa) is not less than 100% when the outer diameters D0 of the fins 20 and the heat transfer tubes 30 are at least less than or equal to 5.4 mm.
The outer diameters D0 of the heat transfer tubes 30 are, for example, greater than or equal to 5.2 mm and less than or equal to 5.4 mm. In this case, preferably, the fins 20 and the heat transfer tubes 30 are disposed so that the ratio tf/D0 is greater than or equal to 0.03 and less than or equal to 0.034. Stated from a different perspective, the fins 20 and the heat transfer tubes 30 are disposed so that the ratio AoK/ΔP of the heat exchanger performance AoK to the extratube pressure loss ΔP is 102% or greater when the outer diameters D0 of the fins 20 and the heat transfer tubes 30 are greater than or equal to 5.2 mm and less than or equal to 5.4 mm.
The outer diameters D0 of the heat transfer tubes 30 are, for example, greater than or equal to 3.6 mm and less than or equal to 3.8 mm. In this case, preferably, the fins 20 and the heat transfer tubes 30 are disposed so that the ratio tf/D0 is greater than or equal to 0.034 and less than or equal to 0.058. Stated from a different perspective, the fins 20 and the heat transfer tubes 30 are disposed so that the ratio AoK/ΔP of the heat exchanger performance AoK to the extratube pressure loss ΔP is 102% or greater when the outer diameters D0 of the fins 20 and the heat transfer tubes 30 are greater than or equal to 3.6 mm and less than or equal to 3.8 mm. Methods of calculation of the heat exchanger performance A0K and the extratube pressure loss ΔP will be described below.
Note that, if the heat transfer tube 30 is expanded by the mechanical tube expansion system, the outer diameter D0 is the outer diameter of the expanded heat transfer tube 30. The tube expansion rate is, but not particularly limited to, greater than or equal to 5% and less than or equal to 8%, for example. The thickness tf and the outer diameter D0 are, while they can be measured by any method, measured by a vernier caliper, for example.
As shown in
As shown in
As shown in
As shown in
As shown in
A method of calculation of the heat exchanger performance A0K and the pressure loss ΔP is as follows:
The heat exchanger performance AoK is defined by the following Equation (1), using an intratube heat transfer coefficient αi, a contact heat transfer coefficient αc, and an extratube heat transfer coefficient αa. Note that Equation (1) disregards the thermal resistance of the heat transfer tube in the direction of thickness thereof and the thermal resistance due to fouling in the tube because they are very small, as compared to the contact thermal resistance between the heat transfer tube and the refrigerant flowing therethrough, and the contact thermal resistance between the heat transfer tube and an air flowing outside the heat transfer tube. The heat transfer coefficients αi, αc, and αa are in unit of W/(m2·K).
An intratube heat transfer area Api, a contact area Aco of the fin and the heat transfer tube, a surface area AP of the outer circumferential surface of the heat transfer tube, and a surface area AF of the fin in Equation (1) are set as specifications of the heat exchanger 10. These areas are in unit of m2.
The intratube heat transfer coefficient αi in Equation (1) is calculated using an equation by Koyama et. al, specifically, Equations (2) and (3):
A Prandtl number Prl of the refrigerant and a thermal conductivity kl (unit: W/m K) of the refrigerant in Equation (2), and a density ρl (unit: g/m3) of a saturated liquid, a viscous modulus μl of the saturated liquid, a density ρv (unit: g/m3) of a saturated vapor, and a viscous modulus μv of the saturated vapor in Equation (3) are physical property values of the refrigerant. An inner diameter di (unit: m) of the heat transfer tube in Equation (3) is set as a specification of the heat exchanger 10. A vapor quality x in Equation (3) is a representative vapor quality, specifically, 0.5. In other words, the intratube heat transfer coefficient αi calculated using Equations (2) and (3) is an average heat transfer coefficient.
The contact heat transfer coefficient αc in Equation (1) is calculated using Equation (4):
[MATH 3]
αc=(2·104d+2.5)·tf·107 (4)
where Δd (unit: m) is an amount of expansion of tube, that is, a difference between the outer diameter D0 of the expanded heat transfer tube 30, and the diameter of the fin collar before the heat transfer tube 30 is expanded.
The extratube heat transfer coefficient αa in Equation (1) is calculated using an equation by Seshita, specifically, Equation (5):
An air Nusselt number Nu in Equation (5) is calculated using Equation (7), if a calculated value of an air Reynolds number Re defined by Equation (6) is less than a threshold (e.g., 400). An air Reynolds number Rea_IRc in Equation (7) is calculated by assigning an average velocity of fluid Veac at a free through-flow cross-sectional area Ac calculated using Equation (8) to an average velocity of fluid Ve of Equation (6), and assigning a representative inter-fin length Dec relative to a free-flow volume Vo to a representative inter-fin length De of Equation (6).
The air Nusselt number Nu of Equation (5) is calculated using Equation (9), if the calculated value of the air Reynolds number Re defined by Equation (6) is equal to or greater than or equal to the threshold (e.g., 400). The air Reynolds number Rea_hRe of Equation (9) is calculated by assigning an average velocity of fluid Vemax at a minimum flow passage cross-sectional area Amin calculated using Equation (10) to the average velocity of fluid Ve of Equation (6), and assigning a representative inter-fin length Dmin relative to a minimum free through-flow volume Vmin to the representative inter-fin length De of Equation (6).
The thermal conductivity ka (unit: W/(m k)) of air of Equation (5), the dynamic viscous modulus va of air of Equation (6), and the Prandtl number Pra of air are physical property values of air that are determined depending on the temperature, pressure, etc. In Equations (8) and (10), ρa and ρai are a density of air.
A number of columns NL of the heat transfer tube and the column pitch LP (unit: m) of the heat transfer tubes of Equations (7) and (9), and the fin pitch Fp (unit: m) and the tier pitch DP (unit: m) of the heat transfer tubes of Equations (8) and (10) are set as specifications of the heat exchanger. In Equation (7), a constant C0 is 2.1, and a constant C1 is 0.38. In Equation (9), C0 is 0.12, and C1 is 0.64.
A fin efficiency η of Equation (1) is calculated using Equations (11) and (12) below. A thermal conductivity kf (unit: W/(m·k)) of the fin, an equivalent diameter (unit: m) of the fin, and a diameter Dc (unit: m) of the fin collar before the heat transfer tube 30 is expanded in Equation (11) below are set as specifications of the heat exchanger.
The extratube pressure loss ΔP is calculated using Equation (13) below, if the calculated value of the air Reynolds number Re defined by Equation (6) is less than the threshold (e.g., 400). The representative inter-fin length Dec of Equation (13) is calculated relative to a free-flow volume Vc. A flow-loss factor flRe of Equation (13) is calculated using Equation (14).
The extratube pressure loss ΔP is calculated using Equation (15) below, if a calculated value of the air Reynolds number Re defined by Equation (6) is greater than or equal to the threshold (e.g., 400). A representative inter-fin length Demin of Equation (15) is calculated relative to a minimum flow passage cross-sectional area Vmin. The flow-loss factor flRe of Equation (15) is calculated using Equation (16).
Next, operational advantages of the heat exchanger 10 according to the present embodiment are described.
As described above, the ratio of the contact thermal resistance to the entire thermal resistance of the heat exchanger is confirmed to increase with a reduction of the outer diameter of the heat transfer tube to less than 7 mm, as shown in
In contrast, the contact heat transfer coefficient αc increases with an increase of the fin thickness tf. An increase of the wind speed of the air flowing between the fans, that is, increases of the average velocity of fluid Veac of Equation (8) and the average velocity of fluid Vemax of Equation (10) increase an extratube transfer coefficient αa, where the fin pitch Fp is constant and the fin thickness tf is increased. However, an increase of the wind speed of the air flowing between the fins increases the average velocity of fluid Veac of Equation (13) and the average velocity of fluid Vemax of Equation (15), thereby increasing the extratube pressure loss ΔP0. Therefore, if a heat exchanger that has a high extratube pressure loss ΔP0 is mounted on a unit, the flow rate of the air flowing between the fans may be less than a sufficient rate expected, and the heat exchanger performance may therefore not be exercised as expected.
In contrast, in the heat exchanger 10, the outer diameters D0 of the heat transfer tubes 30 are less than or equal to 5.4 mm, and the fins 20 and the heat transfer tubes 30 are disposed so that the ratio tf/D0 of the thickness tf of each fin 20 to the outer diameter D0 of each heat transfer tube 30 is greater than or equal to 0.03. Therefore, the ratio AoK/ΔP of the heat exchanger 10 is 100% or greater, as shown in
While
In one embodiment of the heat exchanger 10, multiple fins 20 and multiple heat transfer tubes 30 are disposed so that the outer diameter D0 is greater than or equal to 5.2 mm and less than or equal to 5.4 mm and the ratio tf/D0 is 0.034 or less.
In another one embodiment of the heat exchanger 10, multiple fins 20 and multiple heat transfer tubes 30 are disposed so that the outer diameter D0 is greater than or equal to 3.6 mm and less than or equal to 3.8 mm and the ratio tf/D0 is greater than or equal to 0.034 and less than or equal to 0.058.
In the heat exchanger 10, since the ratio tf/D0 is 0.03 or greater, the heat exchanger performance is enhanced even though the heat transfer tubes 30 are expanded by the mechanical tube expansion system. Therefore, there is no need for the heat exchanger 10 to have the heat transfer tubes 30 brazed to the fins 20 for the purpose of reducing the contact thermal resistance. When the heat transfer tubes 30 are not brazed to the fins 20, each heat transfer tube 30 may not be formed of a clad material. In other words, the heat transfer tube 30 may be formed of a single material. When the heat transfer tubes 30 are not brazed to the fins 20, the material cost of the heat transfer tubes 30 and the manufacturing cost associated with brazing can be reduced.
While the embodiment according to the present disclosure has been described as described above, the embodiment can be also modified in various ways. The scope of the present disclosure is not limited to the embodiment. The scope of the present disclosure is defined by the appended claims. All changes which come within the meaning and range of equivalency of the appended claims are to be embraced within their scope.
10 heat exchanger; 20 fin; 20A first surface; 20B second surface; and 30 heat transfer tube.
Filing Document | Filing Date | Country | Kind |
---|---|---|---|
PCT/JP2020/028293 | 7/21/2020 | WO |