Plate heat exchanger and heat exchange equipment

By designing a reserved surface connection structure with asymmetric area in the plate heat exchanger, the circumferential size of the connection structure is reduced and the volume of the fluid channel is increased, the problem of large flow resistance of the plate heat exchanger is solved, and the effect of reducing flow resistance and improving heat exchange efficiency is achieved.

CN119845070APending Publication Date: 2025-04-18HUAZHONG UNIV OF SCI & TECH

Patent Information

Application Number
CN202510088436.9
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-01-20
Publication Date
2025-04-18

AI Technical Summary

Technical Problem

The flow resistance of the plate heat exchanger is relatively large and it is difficult to meet the needs of use.

Method used

A plate heat exchanger is designed, which is a two reserved surface connected between two adjacent heat exchanger sheets through a connecting structure, one of which is less than the area of ​​the other reserved surface, reducing the circumferential dimension of the connecting structure, thereby increasing the volume of the fluid channel and reducing flow resistance.

Benefits of technology

While ensuring structural strength, the flow resistance of the plate heat exchanger is reduced, thereby reducing power consumption and usage costs, and enhancing heat exchange efficiency.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention provides a plate heat exchanger and heat exchange equipment. The plate heat exchanger comprises a plurality of heat exchange pieces which are arranged in a stacked mode, a fluid channel is formed between every two adjacent heat exchange pieces, each heat exchange piece is provided with a concave part and a convex part, and the top face of each convex part and the bottom face of each concave part are each provided with a reserved face. In every two adjacent heat exchange pieces, the reserved face of the convex portion of one heat exchange piece is opposite to the reserved face of the concave portion of the other heat exchange piece, the two heat exchange pieces are connected through a connecting structure, and the connecting structure is located in a fluid channel between every two adjacent heat exchange pieces. Wherein in the two reserved surfaces connected through the connecting structure, the area of one reserved surface is smaller than that of the other reserved surface. According to the plate heat exchanger, the flow resistance of the plate heat exchanger is reduced.
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Description

Technical Field

[0001] The present application relates to the field of heat exchange technology, and in particular to a plate heat exchanger and a heat exchange device. Background Art

[0002] Plate heat exchangers have the advantages of high heat transfer efficiency, compact structure and light weight. Therefore, they are widely used in heat exchange fields such as energy conservation and emission reduction, waste heat recovery and utilization, and food processing.

[0003] However, in the related art, the flow resistance of the plate heat exchanger is relatively large and it is difficult to meet the use requirements. Summary of the invention

[0004] In view of this, the present application provides a plate heat exchanger and a heat exchange device, which can reduce the flow resistance of the plate heat exchanger at least to a certain extent.

[0005] In a first aspect, the present application provides a plate heat exchanger, comprising a plurality of heat exchange fins, the plurality of heat exchange fins being stacked, a fluid channel being formed between two adjacent heat exchange fins, each heat exchange fin having a concave portion and a convex portion, the top surface of the convex portion and the bottom surface of the concave portion both having a reserved surface; among two adjacent heat exchange fins, the reserved surface of the convex portion of one heat exchange fin faces the reserved surface of the concave portion of the other heat exchange fin, and the two are connected by a connecting structure, and the connecting structure is located in the fluid channel between the two adjacent heat exchange fins; wherein, among the two reserved surfaces connected by the connecting structure, the area of ​​one of the reserved surfaces is smaller than the area of ​​the other reserved surface.

[0006] According to the plate heat exchanger of the first aspect of the present application, in two adjacent heat exchanger fins, the reserved surface of the convex part of one heat exchanger fin is connected to the reserved surface of the concave part of the other heat exchanger fin through a connecting structure, and the area of ​​one of the two reserved surfaces connected to the connecting structure is smaller than the area of ​​the other reserved surface, which is conducive to reducing the circumferential size of the connecting structure connected between the two adjacent heat exchanger fins, thereby increasing the volume of the fluid channel and reducing the flow resistance of the plate heat exchanger without changing the distribution and number of the connecting structure and ensuring the structural strength of the entire plate heat exchanger, thereby reducing the power consumption and use cost of the plate heat exchanger. In addition, due to the area difference between the two reserved surfaces connected by the connecting structure, the symmetry between the two adjacent heat exchanger fins is poor, resulting in a large change in the cross-sectional area of ​​the fluid channel. In the flow process of the fluid, the expansion and contraction of the flow cross section is a key factor in enhancing heat transfer. Therefore, the cross-sectional area of ​​the above-mentioned fluid channel changes greatly, which is conducive to enhancing the heat exchange efficiency.

[0007] In a possible implementation of the first aspect of the present application, of the two reserved surfaces connected by the connecting structure, the equivalent diameter of the reserved surface with a smaller area is less than or equal to 5 mm.

[0008] In a possible implementation of the first aspect of the present application, of the two reserved surfaces connected by the connecting structure, the equivalent diameter of the reserved surface with a smaller area is greater than or equal to 1 mm.

[0009] In a possible implementation of the first aspect of the present application, in two reserved surfaces connected by a connecting structure, the ratio of an equivalent diameter of the reserved surface with a smaller area to an equivalent diameter of the reserved surface with a larger area is 1 / 2 to 2 / 3.

[0010] In a possible implementation manner of the first aspect of the present application, the reserved surface is a plane.

[0011] In a possible implementation manner of the first aspect of the present application, the reserved surface is circular or elliptical in shape.

[0012] In a possible implementation of the first aspect of the present application, the convex portion has a flat plate-shaped top plate, and the top surface of the top plate is a reserved surface for the convex portion; the concave portion has a flat plate-shaped bottom plate, and the bottom surface of the bottom plate is a reserved surface for the concave portion; in adjacent convex portions and concave portions of the same heat exchanger plate, the top plate and the bottom plate are connected by a curved surface structure.

[0013] In a possible implementation of the first aspect of the present application, the curved surface structure is tangent to the top plate; and / or the curved surface structure is tangent to the bottom plate.

[0014] In a possible implementation of the first aspect of the present application, the heat exchange plate includes a heat exchange portion, which includes a plurality of heat exchange units distributed in an array; among two adjacent heat exchange plates, the heat exchange unit of one heat exchange plate is a first heat exchange unit, and the heat exchange unit of the other heat exchange plate is a second heat exchange unit; the first heat exchange unit includes a convex portion and a plurality of sub-concave portions, and the plurality of sub-concave portions are distributed on the periphery of the convex portion; the sub-concave portions of the adjacent plurality of first heat exchange units cooperate to form a concave portion; the second heat exchange unit includes a concave portion and a plurality of sub-convex portions, and the plurality of sub-convex portions are distributed on the periphery of the concave portion; the number of the sub-concave portions is equal to the number of the sub-convex portions, and the sub-convex portions of the adjacent plurality of second heat exchange units cooperate to form a convex portion.

[0015] In a possible implementation of the first aspect of the present application, in a plane perpendicular to the thickness direction of the plate heat exchanger, the outer peripheral contour of the heat exchange unit is a polygon; wherein each edge of the first heat exchange unit has a sub-recess at the center, and each edge of the second heat exchange unit has a sub-convexity at the center.

[0016] In a possible implementation of the first aspect of the present application, in a plane perpendicular to the thickness direction of the plate heat exchanger, the outer peripheral contour of the heat exchange unit is a rectangle.

[0017] In a possible implementation of the first aspect of the present application, in the first heat exchange unit, a protruding height of a corner of the first heat exchange unit relative to the sub-recess is less than or equal to 1 / 2 of a protruding height of the convex portion relative to the concave portion; and in the second heat exchange unit, a recessed depth of a corner of the second heat exchange unit relative to the sub-convex portion is less than or equal to 1 / 2 of a protruding height of the convex portion relative to the concave portion.

[0018] In a possible implementation of the first aspect of the present application, the heat exchange plate includes a connecting portion, which is located at the periphery of the heat exchange portion and connected to the heat exchange portion; the connecting portion has a first fluid inlet hole and a first fluid outlet hole that penetrate the connecting portion in the thickness direction of the connecting portion; the first fluid inlet hole and the first fluid outlet hole are located on opposite sides of the heat exchange portion and are connected; in a plane perpendicular to the thickness direction of the plate heat exchanger, the long side of the heat exchange unit is perpendicular to the line connecting the centers of the first fluid inlet hole and the first fluid outlet hole.

[0019] In a possible implementation of the first aspect of the present application, in a plane perpendicular to the thickness direction of the plate heat exchanger, the aspect ratio of the outer peripheral contour of the heat exchange unit is 1.3 to 2.5.

[0020] In a possible implementation of the first aspect of the present application, in a plane perpendicular to the thickness direction of the plate heat exchanger, in each first heat exchange unit, the center of the reserved surface of the convex portion coincides with the center of the first heat exchange unit; in each second heat exchange unit, the center of the reserved surface of the concave portion coincides with the center of the second heat exchange unit.

[0021] In a possible implementation of the first aspect of the present application, the heat exchange plate includes a heat exchange part and a connecting part, the heat exchange part has a convex portion and a concave portion, the connecting part is located at the periphery of the heat exchange part and is connected to the heat exchange part, the connecting part is in the shape of a flat sheet, and the heat exchange part and the connecting part are transitioned by a rounded corner.

[0022] In a possible implementation manner of the first aspect of the present application, the connection structure is a welding point.

[0023] In a possible implementation of the first aspect of the present application, in the same heat exchange plate, the reserved surface of the convex portion and the reserved surface of the concave portion have the same shape and size.

[0024] In a second aspect, the present application also provides a heat exchange device, including: a plate heat exchanger in any of the above technical solutions.

[0025] The technical effects of the second aspect of the present application can be based on the technical effects of the first aspect described above, and will not be repeated here. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] Figure 1A three-dimensional diagram of a plate heat exchanger provided in an embodiment of the present application;

[0027] Figure 2 Based on Figure 1 A partial structural schematic diagram of a plate heat exchanger shown;

[0028] Figure 3 Based on Figure 1 A front view of a heat exchanger fin in a plate heat exchanger shown;

[0029] Figure 4 Based on Figure 2 A schematic diagram of the cooperation of the heat exchange parts of two adjacent heat exchange fins is shown;

[0030] Figure 5 Based on Figure 4 An exploded view of the structure shown;

[0031] Figure 6 Based on Figure 4 The structure shown is a schematic diagram of the cross-section structure at line AA;

[0032] Figure 7 Based on Figure 5 A three-dimensional view of the first heat exchange unit of the first heat exchange plate shown;

[0033] Figure 8 Based on Figure 7 A front view of the first heat exchange unit of the first heat exchange plate shown;

[0034] Fig. 9 Based on Figure 5 A three-dimensional view of the second heat exchange unit of the second heat exchange fin is shown.

[0035] Reference numerals:

[0036] Plate heat exchanger 100;

[0037] Heat exchange core 1;

[0038] Heat exchange plate 10; first fluid inlet hole 101; first fluid outlet hole 102; second fluid inlet hole 103; second fluid outlet hole 104; heat exchange portion 105; convex portion 1051; top plate 10511; concave portion 1052; bottom plate 10521; connecting portion 106; fluid channel 107; first heat exchange plate 11; first heat exchange unit 111, sub-concave portion 1111; second heat exchange plate 12; second heat exchange unit 121; sub-convex portion 1211; convexity 13; concave portion 14;

[0039] First end plate 2; first inlet 21; first outlet 22; second inlet 23; second outlet 24;

[0040] The second end plate 3; the first joint 4; the second joint 5; the third joint 6; the fourth joint 7; the first reinforcing plate 8; and the second reinforcing plate 9. DETAILED DESCRIPTION

[0041] In the embodiments of the present application, the terms "exemplary" or "for example" are used to indicate examples, illustrations or descriptions. Any embodiment or design described as "exemplary" or "for example" in the embodiments of the present application should not be interpreted as being more preferred or more advantageous than other embodiments or designs. Specifically, the use of words such as "exemplary" or "for example" is intended to present related concepts in a specific way.

[0042] In the embodiments of the present application, the terms "first" and "second" are used for descriptive purposes only and should not be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features. Therefore, the features defined as "first" and "second" may explicitly or implicitly include one or more of the features.

[0043] In the description of the embodiments of the present application, the term "at least one" refers to one or more, and "plurality" refers to two or more. "At least one of the following" or similar expressions refers to any combination of these items, including any combination of single items or plural items. For example, at least one of a, b, or c can represent: a, b, c, ab, ac, bc, or abc, where a, b, and c can be single or multiple.

[0044] In the description of the embodiments of the present application, the term "and / or" refers to and covers any and all possible combinations of one or more of the associated listed items. The term "and / or" is a description of the association relationship of associated objects, indicating that three relationships may exist. For example, A and / or B can represent: A exists alone, A and B exist at the same time, and B exists alone. In addition, the character " / " in the present application generally indicates that the associated objects before and after are in an "or" relationship.

[0045] In the description of the embodiments of the present application, unless otherwise clearly specified and limited, the terms "installed", "connected" and "connected" should be understood in a broad sense. For example, "connection" can be a detachable connection or a non-detachable connection; it can be a direct connection or an indirect connection through an intermediate medium.

[0046] As used herein, "perpendicular", "equal", "parallel", and "tangent" include the situations described and situations similar to the situations described, and the range of the similar situations is within the acceptable deviation range, wherein the acceptable deviation range is determined by a person of ordinary skill in the art taking into account the measurement in question and the errors associated with the measurement of a particular quantity (i.e., the limitations of the measurement system). For example, "perpendicular" includes absolute perpendicularity and approximate perpendicularity, wherein the acceptable deviation range of approximate perpendicularity may also be, for example, a deviation within 10°. "Equal" includes absolute equality and approximate equality, wherein the acceptable deviation range of approximate equality may be, for example, the difference between the two equalities is less than or equal to 10% of either one of them. "Parallel" includes absolute parallelism and approximate parallelism, wherein the acceptable deviation range of approximate parallelism may also be, for example, a deviation within 10°. "Tangent" includes absolute tangentness and approximate tangentness, wherein the acceptable deviation range of approximate tangentness may also be, for example, a deviation within 10°, and the specific "tangent" angle tolerance is less than 0.5°.

[0047] A plate heat exchanger generally includes a plurality of heat exchange fins. The plurality of heat exchange fins are stacked. Two adjacent heat exchange fins are connected by welding points, and a fluid channel is formed between the two adjacent heat exchange fins. In a plate heat exchanger, two adjacent fluid channels flow different fluids respectively. For example, one fluid channel is used to flow water, and the other fluid channel is used to flow refrigerant. The two fluids exchange heat and cold in the plate heat exchanger to achieve the purpose of heat exchange.

[0048] In order to improve the heat exchange efficiency of the plate heat exchanger, in a possible embodiment, the welding area and the number of welding points in the fluid channel of the plate heat exchanger are often increased to enhance the disturbance effect on the fluid and thus enhance the heat exchange. However, this will also increase the resistance to the flow of the fluid in the fluid channel. It is generally known to those skilled in the art that the flow resistance is proportional to the square of the flow rate. For some working conditions with high heat exchange requirements, the flow rate of the fluid is relatively large, the resistance increases more significantly, and its power consumption and use cost also increase accordingly. Therefore, how to reduce the flow resistance of the plate heat exchanger without affecting the heat exchange efficiency of the plate heat exchanger is a key research direction for those skilled in the art.

[0049] Based on this, the present application proposes a plate heat exchanger and a heat exchange device having the plate heat exchanger. In the plate heat exchanger, in two adjacent heat exchanger plates, the reserved surface of the convex part of one heat exchanger plate is connected to the reserved surface of the concave part of the other heat exchanger plate through a connecting structure, and the area of ​​one of the two reserved surfaces connected to the connecting structure is smaller than the area of ​​the other reserved surface, which is conducive to reducing the circumferential size of the connecting structure (for example, welding point) connected between the two adjacent heat exchanger plates, thereby increasing the volume of the fluid channel and reducing the flow resistance of the plate heat exchanger without changing the distribution and number of the connecting structure and ensuring the structural strength of the entire plate heat exchanger, thereby reducing the power consumption and use cost of the plate heat exchanger. In addition, due to the area difference between the two reserved surfaces connected by the connecting structure, the symmetry between the two adjacent heat exchanger plates is poor, which causes a large change in the cross-sectional area of ​​the fluid channel. In the flow process of the fluid, the expansion and contraction of the flow cross section is a key factor in enhancing heat transfer. Therefore, the cross-sectional area of ​​the above-mentioned fluid channel changes greatly, which is conducive to enhancing the heat exchange efficiency.

[0050] The specific structure of the plate heat exchanger of the present application will be described in detail below with reference to the accompanying drawings.

[0051] See also Figure 1 and Figure 2 The plate heat exchanger 100 includes a heat exchange core 1 , a first end plate 2 and a second end plate 3 .

[0052] The heat exchange core 1 is the core heat exchange part of the plate heat exchanger 100. There are two fluid channels (i.e., the first fluid channel and the second fluid channel) in the heat exchange core 1. The two fluid channels are used to circulate different heat exchange fluids respectively. For example, the first fluid channel is used to circulate water, and the second fluid channel is used to circulate refrigerant.

[0053] The first end plate 2 and the second end plate 3 are disposed on both sides of the heat exchange core 1 in the thickness direction.

[0054] The first end plate 2 is provided with a first inlet 21, a first outlet 22, a second inlet 23 and a second outlet 24. The first inlet 21 and the first outlet 22 are connected to the first fluid channel, and the second inlet 23 and the second outlet 24 are connected to the second fluid channel.

[0055] Exemplarily, the first inlet 21 and the first outlet 22 are integrally located at one end of the first end plate 2 in the width direction K2, and the first inlet 21 and the first outlet 22 are respectively located at both ends of the first end plate 2 in the length direction K1. The second inlet 23 and the second outlet 24 are integrally located at the other end of the second end plate 3 in the width direction K2, and the second inlet 23 and the second outlet 24 are respectively located at both ends of the second end plate 3 in the length direction K1.

[0056] Exemplarily, the first end plate 2 is in a rectangular shape or a rounded rectangular shape. The first inlet 21, the first outlet 22, the second inlet 23 and the second outlet 24 are respectively located at the four corners of the first end plate 2. This facilitates processing and manufacturing, and can make the first end plate 2 more symmetrical.

[0057] Exemplarily, the first inlet 21, the first outlet 22, the second inlet 23 and the second outlet 24 are of the same shape and have the same equivalent diameter, which can facilitate processing and manufacturing and make the first end plate 2 more symmetrical. For example, the first end plate 2 is a centrosymmetric structure.

[0058] Exemplarily, in order to facilitate the connection of the plate heat exchanger 100 to the heat exchange flow path of the heat exchange device, the first end plate 2 is further provided with a first joint 4, a second joint 5, a third joint 6 and a fourth joint 7. Among them, the first joint 4 is arranged at the first inlet 21. The second joint 5 is arranged at the first outlet 22, the third joint 6 is arranged at the second inlet 23, and the fourth joint 7 is arranged at the second outlet 24. Of course, it can be understood that in other embodiments, the first joint 4, the second joint 5, the third joint 6 and the fourth joint 7 may not be arranged in the plate heat exchanger 100.

[0059] On this basis, illustratively, in order to improve the structural strength of the first end plate 2, the plate heat exchanger 100 further includes a first reinforcing plate 8 and a second reinforcing plate 9. The first reinforcing plate 8 is arranged around the first inlet 21 and the second outlet 24. The second reinforcing plate 9 is arranged around the first outlet 22 and the second inlet 23. Of course, it can be understood that in other embodiments, the first reinforcing plate 8 and the second reinforcing plate 9 may not be arranged in the plate heat exchanger 100.

[0060] The heat exchange core 1 is formed by stacking a plurality of heat exchange fins 10. A fluid channel is formed between two adjacent heat exchange fins 10. Among the three adjacent heat exchange fins 10, a first fluid channel is defined between the middle heat exchange fin 10 and the heat exchange fin 10 located on one side of the middle heat exchange fin 10. A second fluid channel is defined between the middle heat exchange fin 10 and the heat exchange fin 10 located on the other side of the middle heat exchange fin 10. In this way, the first fluid channel and the second fluid channel are in a stacked relationship, thereby improving the heat exchange effect of the heat exchange fluid in the first fluid channel and the second fluid channel.

[0061] On this basis, in order to facilitate the flow of fluid into the fluid channel, please refer to Figure 3Each heat exchange plate 10 has a first fluid inlet hole 101, a first fluid outlet hole 102, a second fluid inlet hole 103 and a second fluid outlet hole 104. The first fluid inlet hole 101 and the first inlet 21 are opposite to each other in the thickness direction K3 of the plate heat exchanger 100. The second fluid inlet hole 103 and the second inlet 23 are opposite to each other in the thickness direction K3 of the plate heat exchanger 100. The first fluid outlet hole 102 and the first outlet 22 are opposite to each other in the thickness direction K3 of the plate heat exchanger 100. The second fluid outlet hole 104 and the second outlet 24 are opposite to each other in the thickness direction K3 of the plate heat exchanger 100.

[0062] Please continue reading Figure 3 , each heat exchange plate 10 includes a connecting portion 106 and a heat exchange portion 105. The connecting portion 106 may be in the form of a flat plate. The first fluid inlet hole 101, the first fluid outlet hole 102, the second fluid inlet hole 103, and the second fluid outlet hole 104 may be arranged at the connecting portion 106, so that the processing and manufacturing of the first fluid inlet hole 101, the first fluid outlet hole 102, the second fluid inlet hole 103, and the second fluid outlet hole 104 may be facilitated. The first fluid inlet hole 101 and the first fluid outlet hole 102 are located on opposite sides of the heat exchange portion 105, and the second fluid inlet hole 103 and the second fluid outlet hole 104 are located on opposite sides of the heat exchange portion 105.

[0063] For the two heat exchange plates 10 used to define the first fluid channel, in order to achieve communication between the first fluid channel and the first inlet 21 and the first outlet 22, and to prevent the first fluid channel from being connected to the second inlet 23 and the second outlet 24, the two heat exchange plates 10 used to define the first fluid channel are kept spaced apart and not fitted at the positions of the corresponding first fluid inlet hole 101 and the first fluid outlet hole 102 of the connecting portion 106, so as to facilitate the conduction between the first inlet 21, the first outlet 22 and the first fluid channel; the two heat exchange plates 10 used to define the first fluid channel are connected together at the positions of the corresponding second fluid inlet hole 103 and the second fluid outlet hole 104 of the connecting portion 106, for example, abutted and fitted or welded together, to play a sealing role, thereby blocking the conduction between the first fluid channel and the second inlet 23 and the second outlet 24.

[0064] For the two heat exchange plates 10 used to define the second fluid channel, in order to achieve the connection between the second fluid channel and the second inlet 23 and the second outlet 24, and to prevent the second fluid channel from being connected to the first inlet 21 and the first outlet 22, the two heat exchange plates 10 used to define the second fluid channel are kept spaced and not fitted at the positions of the corresponding second fluid inlet hole 103 and the second fluid outlet hole 104 of the connecting part 106, so as to facilitate the conduction between the second inlet 23, the second outlet 24 and the second fluid channel; the two heat exchange plates 10 used to define the second fluid channel are connected together at the positions of the corresponding first fluid inlet hole 101 and the first fluid outlet hole 102 of the connecting part 106, for example, abutted or welded together, to play a sealing role, thereby blocking the conduction between the second fluid channel and the first inlet 21 and the first outlet 22.

[0065] In some embodiments, the outer periphery of each heat exchanger fin 10 has a flange 107. Among two adjacent heat exchanger fins 10, the flange 107 of one heat exchanger fin 10 is connected to the other heat exchanger fin 10, so as to form a closed fluid channel between the two heat exchanger fins 10 and improve the sealing performance of the plate heat exchanger 100. Of course, it can be understood that in other embodiments, the outer periphery of each heat exchanger fin 10 may not be provided with a flange, for example, the edges of two adjacent heat exchanger fins 10 may be connected by a sealant.

[0066] For details, please refer to Figure 4 and Figure 5 The above-mentioned fluid channel 107 is defined between the heat exchange parts 105 of two adjacent heat exchange plates 10.

[0067] Each heat exchange portion 105 has a convex portion 1051 and a concave portion 1052 , so as to form the fluid channel 107 between the heat exchange portions 105 of two adjacent heat exchange fins 10 .

[0068] It can be understood that the two side surfaces of the heat exchanger fin 10 in the thickness direction K3 are the first surface A1 and the second surface A2. The convex portion 1051 protrudes from the second surface A2 in the direction of the first surface A1, and is formed as a convex hull on one side of the first surface A1, and is formed as a concave pit on one side of the second surface A2. The concave portion 1052 protrudes from the first surface A1 in the direction of the second surface A2, and is formed as a convex hull on one side of the second surface A2, and is formed as a concave pit on one side of the first surface A1.

[0069] The top surface of each convex portion 1051 and the bottom surface of each concave portion 1052 have a reserved surface F.

[0070] See also Figure 6 Among two adjacent heat exchange fins 10 , one heat exchange fin 10 is a first heat exchange fin 11 , and the other heat exchange fin 10 is a second heat exchange fin 12 .

[0071] The reserved surface F of the convex portion 1051 of the first heat exchange plate 11 faces the reserved surface F of the concave portion of the second heat exchange plate 12 and is connected by a connecting structure H, and the top surface of the concave portion 1052 of the first heat exchange plate 11 is spaced from the bottom surface of the convex portion 1051 of the second heat exchange plate 11 to define a portion of the fluid channel 107 located between the two heat exchange plates 10.

[0072] For example, the connection structure H can be a welding point. In this way, it is beneficial to improve the connection reliability between two adjacent heat exchanger plates 10 and facilitate processing and manufacturing. For example, in the actual processing process, solder can be placed between the two reserved surfaces F2, and the connection structure H is formed after high-temperature vacuum brazing. For example, the connection structure H can also be a colloid.

[0073] It is worth noting that the "top" and bottom described in this article are relative concepts, wherein the top surface of the convex portion 1051 and the top surface of the concave portion 1052 both refer to surfaces facing the same direction as the first surface A1, and the bottom surface of the convex portion 1051 and the bottom surface of the concave portion 1052 both refer to surfaces facing the same direction as the second surface A2.

[0074] On this basis, of the two reserved surfaces F connected by the connection structure H, the area of ​​one of the reserved surfaces F is smaller than the area F of the other reserved surface F. It can be seen from this that setting the area of ​​one of the reserved surfaces F to be relatively small is conducive to reducing the area of ​​the overlapped area between the two reserved surfaces F without changing the distribution and number of the connection structures H, ensuring the structural strength of the entire plate heat exchanger 100, and ensuring the pressure resistance characteristics of the plate heat exchanger 100, thereby helping to reduce the overall circumferential size of the connection structure H, thereby increasing the volume of the fluid channel 107 and reducing the flow resistance of the fluid between the two heat exchange fins 10.

[0075] In addition, due to the area difference between the two reserved surfaces F connected by the connection structure H, the symmetry between the two adjacent heat exchange fins 11 is poor, resulting in a large change in the cross-sectional area of ​​the fluid channel 107. Specifically, in the fluid channel 107, after the fluid flows around the connection structure H, the laminar bottom layer leaves the heat exchange wall surface, resulting in boundary layer separation. After separation, the heat transfer from the conductive heat exchange quickly turns into intense convection heat transfer, which enhances the heat transfer and forms a "corrugated" flow around the connection structure H after fully developing along the flow direction. In the flow process of the fluid, the expansion and contraction of the flow cross section is a key factor in enhancing heat transfer. Therefore, the cross-sectional area of ​​the above-mentioned fluid channel 107 changes greatly, which is conducive to enhancing the heat exchange efficiency.

[0076] In some embodiments of the present application, the convex portion 1051 has a flat top plate 10511, and the top surface of the top plate 10511 is a reserved surface for the convex portion 1051; the concave portion 1052 has a flat bottom plate 10521, and the bottom surface of the bottom plate 10521 is a reserved surface for the concave portion 1052. In adjacent convex portions 1051 and concave portions 1052 of the same heat exchanger fin 10, the top plate 10511 and the bottom plate 10521 are connected by a curved surface structure 113. Since the surface of the curved surface structure 113 is relatively rounded, by connecting the top plate 10511 and the bottom plate 10521 with the curved surface structure 113, when the fluid flows in the fluid channel 107, the flow resistance of the fluid by the curved surface structure 113 is reduced, which can be helpful to further reduce the flow resistance of the fluid.

[0077] Of course, the present application is not limited to this. In other embodiments, the top plate 10511 and the bottom plate 10521 can also be connected by a flat plate structure, or a combination of a flat plate structure and a curved surface structure.

[0078] On this basis, in some embodiments, the top plate 10511 is tangent to the curved surface structure 113. As a result, no "sharp corner" is formed at the junction of the top plate 10511 and the curved surface structure 113, so that the top plate 10511 and the curved surface structure 113 can be smoothly connected, so that when the fluid flows through the junction of the top plate 10511 and the curved surface structure 113, it can help reduce the flow resistance of the fluid, and on the other hand, it can also reduce the stress concentration problem at the junction of the top plate 10511 and the curved surface structure 113, and reduce the risk of molding cracking of the heat exchange plate 10.

[0079] On this basis, in some embodiments, the bottom plate 10521 is tangent to the curved surface structure 113. As a result, no "sharp corner" is formed at the junction of the bottom plate 10521 and the curved surface structure 113, so that the bottom plate 10521 and the curved surface structure 113 can be smoothly connected, so that when the fluid flows through the junction of the top plate 10511 and the curved surface structure 113, it can help reduce the flow resistance of the fluid; on the other hand, it can also reduce the stress concentration problem at the junction of the bottom plate 10521 and the curved surface structure 113, and reduce the risk of molding cracking of the first heat exchange plate 11.

[0080] In some embodiments of the present application, of the two reserved surfaces F connected by the connection structure H, the equivalent diameter of the smaller reserved surface F is less than or equal to 5 mm. This is conducive to further reducing the overall circumferential size of the connection structure H, and further reducing the flow resistance of the fluid when the fluid flows in the fluid channel 107 between the two heat exchange fins 10.

[0081] It is worth noting that the "equivalent diameter" of the reserved surface refers to the diameter of a circle having the same area as the reserved surface. It is understandable that when the reserved surface is circular, the equivalent diameter is the diameter of the circle.

[0082] Exemplarily, of the two reserved surfaces F connected by the connecting structure H, the equivalent diameter of the reserved surface with a smaller area is less than or equal to 4.5 mm, 4 mm, 3.5 mm, 3 mm, 2.5 mm or 2 mm.

[0083] In some embodiments of the present application, in order to reduce the flow resistance of the fluid while taking into account the connection strength between the two heat exchanger plates 10, the equivalent diameter of the smaller reserved surface of the two reserved surfaces F connected by the connecting structure H is greater than or equal to 1 mm.

[0084] In some embodiments of the present application, in two reserved surfaces F connected by the connection structure H, the ratio of the equivalent diameter of the reserved surface with a smaller area to the equivalent diameter of the reserved surface with a larger area is 1 / 2 to 2 / 3. In this way, on the one hand, it is helpful to ensure that the area of ​​the overlapped area between the two reserved surfaces F is not too small, thereby preventing the connection structure H from being set too small and affecting the connection reliability between the two; on the other hand, it is helpful to ensure that the area of ​​the overlapped area between the two reserved surfaces F is not too large, thereby preventing the connection structure H from being set too large and affecting the flow resistance of the fluid.

[0085] Exemplarily, in two reserved surfaces F connected by the connection structure H, the ratio of the equivalent diameter of the reserved surface with a smaller area to the equivalent diameter of the reserved surface with a larger area is 0.55, 0.58, 0.6 or 0.62.

[0086] In some embodiments of the present application, the reserved surface F is a plane, so that it is easy to dispose the connection structure H between the two reserved surfaces F2, to facilitate the processing and manufacturing of the plate heat exchanger 100, and to improve the connection reliability of the connection structure H to the reserved surface F.

[0087] Of course, the present application is not limited thereto. In other embodiments, the two reserved surfaces connected by the connecting structure H may also be curved surfaces with the same arching direction.

[0088] In some embodiments of the present application, the shape of the reserved surface F is circular or elliptical. When the fluid flows through the fluid channel 107 between the heat exchanger fins 10, since the connection structure H is located in the fluid channel 107, the fluid will flow around the connection structure H, and may flow through the edge of the reserved surface F. The rounded edge of the circular or elliptical reserved surface F can guide the flow of the fluid, reduce the flow resistance of the fluid to a certain extent, and can help to further reduce the flow resistance of the fluid.

[0089] Of course, the present application is not limited thereto, and in other embodiments, the reserved surface F may also be a square, a rectangle, a triangle, a diamond, or the like.

[0090] In some embodiments of this application, please continue to refer to Figure 4 and Figure 5 The heat exchange part 105 includes a plurality of heat exchange units distributed in an array. In two adjacent heat exchange plates 10, the heat exchange unit of one heat exchange plate 10 (i.e., the first heat exchange plate 11) is a first heat exchange unit 111, and the heat exchange unit of the other heat exchange plate 10 (i.e., the second heat exchange plate 12) is a second heat exchange unit 121.

[0091] See also Figure 7 and Figure 8 The first heat exchange unit 111 includes a convex portion 1051 and a plurality of sub-concave portions 1111, and the plurality of sub-concave portions 1111 are evenly distributed on the periphery of the convex portion 1051. The sub-concave portions 1111 of the adjacent plurality of first heat exchange units 111 cooperate to form a concave portion 1052 (such as Figure 4 and Figure 5 ). Therefore, the heat exchange plate 10 has a simple structure and is easy to manufacture.

[0092] See also Fig. 9 The second heat exchange unit 121 includes a concave portion 1052 and a plurality of sub-convex portions 1211, and the plurality of sub-convex portions 1211 are evenly distributed on the periphery of the concave portion 1052. The sub-convex portions 1211 of the adjacent plurality of second heat exchange units 121 cooperate to form a convex portion 1051 (such as Figure 4 and Figure 5 ). Therefore, the heat exchange plate 10 has a simple structure and is easy to manufacture.

[0093] In some embodiments of the present application, the first heat exchange unit 111 has a convex portion 1051 at its center, and the second heat exchange unit 121 has a concave portion 1052 at its center.

[0094] In some embodiments of the present application, in a plane perpendicular to the thickness direction K3 of the plate heat exchanger 100, the outer peripheral contour of the heat exchange unit is a polygon, and the center of each side of the first heat exchange unit 111 has a sub-recess 1111, and the center of each side of the second heat exchange unit 121 has a sub-convex portion 1211. As a result, not only is the structure simple. In addition, in the second heat exchange unit 121, the center of each side has a sub-convex portion 1211, so that the connected sub-convex portions 1211 of two adjacent second heat exchange units 121 can be assembled into a convex portion 121. Since the outer peripheral contour of the second heat exchange unit 121 is a polygon, in this way, in each second heat exchange unit 121, the number of convex portions 121 is greater than the number of concave portions; similarly, in each first heat exchange unit 121, the number of concave portions 111 is greater than the number of convex portions 121. Therefore, the number of connection structures in the fluid channels on both sides of the heat exchange plate 10 can be different, so that the turbulence effects in the fluid channels on both sides of the heat exchange plate 10 can be different, which is beneficial for use under working conditions with large differences in the flow rates of the two fluids.

[0095] For example, in a plane perpendicular to the thickness direction K3 of the plate heat exchanger 100 , the outer peripheral contour of the heat exchange unit is a rectangle, thereby facilitating the processing and manufacturing of the heat exchange fins 10 .

[0096] Exemplarily, in a plane perpendicular to the thickness direction K3 of the plate heat exchanger 100, when the outer peripheral contour of the heat exchange unit is a rectangle, a sub-recess 1111 is provided at the center of each side of the first heat exchange unit 111, and a sub-protrusion 1211 is provided at the center of each side of the second heat exchange unit 121. In this way, each sub-recess 1111 located at the edge of the heat exchange plate 10 is half of the bottom plate, the shape of the portion is a semicircle, and the center of the semicircle coincides with the center of the edge of the first heat exchange unit 111 where it is located. Each sub-protrusion 1211 located at the edge of the heat exchange plate 10 is half of the top plate, the shape of the portion is a semicircle, and the center of the semicircle coincides with the center of the edge of the second heat exchange unit 121 where it is located.

[0097] In some embodiments of the present application, in the first heat exchange unit 111, the corner of the first heat exchange unit 111 is protruding relative to the sub-recess 1111, and the protruding height of the corner of the first heat exchange unit 111 relative to the sub-recess 1111 is less than or equal to 0.5 of the protruding height of the convex portion 1051 relative to the recess 1052. For example, the protruding height of the corner of the first heat exchange unit 111 relative to the sub-recess 1111 is 0.4, 0.3, or 0.25 of the protruding height of the convex portion 1051 relative to the recess 1052.

[0098] In the second heat exchange unit 121, the corner of the second heat exchange unit 121 is recessed by 14 relative to the sub-convex portion 1211. The recess depth of the corner of the second heat exchange unit 121 relative to the sub-convex portion 1211 is less than or equal to 0.5 of the protruding height of the convex portion 1051 relative to the concave portion 1052. For example, the recess depth of the corner of the second heat exchange unit 121 relative to the sub-convex portion 1211 is 0.4, 0.35, or 0.2 of the protruding height of the convex portion 1051 relative to the concave portion 1052.

[0099] In this way, if Figure 5 As shown, when the corners of a plurality of adjacent first heat exchange units 111 are connected, a protrusion 13 may be formed, and the protruding height of the protrusion 13 relative to the recess 1111 is less than or equal to 1 / 2 of the protruding height of the protrusion relative to the recess. When the corners of a plurality of adjacent second heat exchange units 111 are connected, a recess 14 may be formed, and the depth of the recess 14 relative to the protrusion 121 is less than or equal to 1 / 2 of the protruding height of the protrusion 121 relative to the recess 111. In the plate heat exchanger 100, the protrusion 13 and the recess 14 correspond to each other, and the protruding directions of the two are opposite, so that the volume in the fluid channels on both sides of the heat exchange plate 10 can be further different, so that the turbulence effect in the fluid channels on both sides of the heat exchange plate 10 can be further different, which is conducive to the use under the working conditions where the flow rate difference between the two fluids is large.

[0100] In some specific examples, the number of connection structures H in the fluid channels on both sides of the heat exchange plate 10 is different. On this basis, in two adjacent fluid channels, the fluid channel with a larger number of connection structures H has corresponding protrusions 13 and depressions 14 protruding in the direction of approaching each other. In the fluid channel with a smaller number of connection structures H, the corresponding protrusions 13 and depressions 14 protruding in the direction of moving away from each other. In this way, the volume of the fluid channel with a larger number of connection structures H is smaller because the protrusions 13 and depressions 14 protrude in the direction of approaching each other, and the protrusions 13 and depressions 14 have a better disturbing effect on the fluid in the fluid channel. The volume of the fluid channel with a smaller number of connection structures H is larger because the protrusions 13 and depressions 14 protrude in the direction of moving away from each other, and the cavity between the protrusions 13 and the depressions 14 is easier to form vortices for the fluid flowing through, so that the fluid can fully exchange heat here and improve the heat exchange effect.

[0101] For example, in order to facilitate sufficient heat exchange, the fluid channels with a larger number of the connection structure H are used to circulate the refrigerant, and the fluid channels with a smaller number of the connection structure H are used to circulate the heat exchange medium such as water. This is beneficial to improve the heat exchange efficiency of the plate heat exchanger 100 and reduce the power consumption of the plate heat exchanger 100.

[0102] Exemplarily, in the first heat exchange unit 111, the corner of the first heat exchange unit 111 is connected to the sub-recess 1111 via a first curved surface structure. When the fluid flows in the fluid channel, the first curved surface structure reduces the flow resistance of the fluid, which can help further reduce the flow resistance of the fluid.

[0103] In the second heat exchange unit 121, the corner of the second heat exchange unit 121 is connected to the sub-convex portion 1211 via a second curved surface structure. When the fluid flows in the fluid channel, the second curved surface structure reduces the flow resistance of the fluid, which can help further reduce the flow resistance of the fluid.

[0104] In some embodiments of the present application, in a plane perpendicular to the thickness direction of the plate heat exchanger, the long side of the heat exchange unit is perpendicular to the line connecting the centers of the first fluid inlet hole 101 and the first fluid outlet hole 102. In this way, a larger number of heat exchange units can be arranged at the heat exchange part in the flow direction of the fluid, so that the number of connecting structures H in the flow direction of the fluid can be larger, so that when the fluid flows from the first fluid inlet hole 101 to the first fluid outlet hole 102, more connecting structures H can be bypassed, the turbulence effect is enhanced, and sufficient heat exchange of the plate heat exchanger 100 is achieved, and the heat exchange efficiency is improved.

[0105] In other embodiments, in a plane perpendicular to the thickness direction K3 of the plate heat exchanger 100 , the outer peripheral contour of the heat exchange unit may also be a square or a parallelogram.

[0106] In some embodiments of the present application, in a plane perpendicular to the thickness direction K3 of the plate heat exchanger 100, the aspect ratio of the outer periphery of the heat exchange unit is 1.3 to 2.5. In this way, in the flow direction of the fluid, a larger number of heat exchange units can be arranged at the heat exchange portion 105, so that the number of connecting structures H in the flow direction of the fluid can be larger, so that when the fluid flows from the first fluid inlet 101 to the first fluid outlet 102, more connecting structures H can be bypassed, the turbulence effect is enhanced, and sufficient heat exchange of the plate heat exchanger 100 is achieved.

[0107] Exemplarily, in a plane perpendicular to the thickness direction K3 of the plate heat exchanger 100 , the aspect ratio of the outer peripheral contour of the heat exchange unit is 1.5, 1.8, 1.9, 2, 2.2, or 2.5.

[0108] In some embodiments of the present application, in a plane perpendicular to the thickness direction K3 of the plate heat exchanger 100, the center of the reserved surface F of the convex portion 1051 coincides with the center of the first heat exchange unit 111, and the center of the reserved surface F of the concave portion 1052 coincides with the center of the second heat exchange unit 121. In this way, the structure of the heat exchange unit is more regular, so that it is easier to process the heat exchange plate 10.

[0109] In some embodiments of the present application, the heat exchange portion 105 and the connecting portion 106 are transitioned by a rounded corner. Since the heat exchange portion 105 is uneven, the rounded corner transition between the heat exchange portion 105 and the connecting portion 106 is beneficial to reduce the stress concentration of the heat exchange plate 10 and increase the service life of the heat exchange plate 10.

[0110] In some embodiments of the present application, in the same heat exchange plate 10, the reserved surface F of the convex portion 1051 and the reserved surface F of the concave portion 1052 have the same shape and size. In this way, the heat exchange plate 10 can be easily processed and manufactured.

[0111] In addition, the present application also provides a heat exchange device, which includes the plate heat exchanger 100 in any of the above technical solutions.

[0112] Specifically, the heat exchange device may include a housing, and the plate heat exchanger 100 is installed in the housing.

[0113] The heat exchange equipment includes but is not limited to air conditioners, refrigerators or freezers, etc.

[0114] In the description of this specification, specific features, structures, materials or characteristics may be combined in an appropriate manner in any one or more embodiments or examples without contradicting each other.

[0115] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present application, rather than to limit it. Although the present application has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present application.

Claims

1. A plate heat exchanger, characterized in that: include: A plurality of heat exchange fins, wherein the plurality of heat exchange fins are stacked, a fluid channel is formed between two adjacent heat exchange fins, each heat exchange fin has a concave portion and a convex portion, and the top surface of the convex portion and the bottom surface of the concave portion both have a reserved surface; in two adjacent heat exchange fins, the reserved surface of the convex portion of one heat exchange fin faces the reserved surface of the concave portion of the other heat exchange fin, and the two are connected by a connecting structure, and the connecting structure is located in the fluid channel between the two adjacent heat exchange fins; Among the two reserved surfaces connected by the connection structure, the area of ​​one of the reserved surfaces is smaller than the area of ​​the other reserved surface.

2. The plate heat exchanger according to claim 1, characterized in that: Of the two reserved surfaces connected by the connecting structure, the equivalent diameter of the reserved surface with a smaller area is less than or equal to 5 mm.

3. The plate heat exchanger according to claim 2, characterized in that: Of the two reserved surfaces connected by the connecting structure, the equivalent diameter of the reserved surface with a smaller area is greater than or equal to 1 mm.

4. The plate heat exchanger according to any one of claims 1 to 3, characterized in that: In the two reserved surfaces connected by the connection structure, the ratio of the equivalent diameter of the reserved surface with a smaller area to the equivalent diameter of the reserved surface with a larger area is 1 / 2 to 2 / 3.

5. The plate heat exchanger according to any one of claims 1 to 4, characterized in that: The reserved surface is a plane; and / or the reserved surface is circular or elliptical in shape.

6. The plate heat exchanger according to any one of claims 1 to 5, characterized in that: The convex part has a flat plate-shaped top plate, and the top surface of the top plate is a reserved surface of the convex part; The concave portion has a flat plate-shaped bottom plate, and the bottom surface of the bottom plate is a reserved surface of the concave portion; In the adjacent convex parts and concave parts of the same heat exchange plate, the top plate and the bottom plate are connected via a curved surface structure.

7. The plate heat exchanger according to claim 6, characterized in that: The curved surface structure is tangent to the top plate; and / or the curved surface structure is tangent to the bottom plate.

8. The plate heat exchanger according to any one of claims 1 to 7, characterized in that: The heat exchange plate comprises a heat exchange portion, and the heat exchange portion comprises a plurality of heat exchange units distributed in an array; In two adjacent heat exchange plates, the heat exchange unit of one of the heat exchange plates is a first heat exchange unit, and the heat exchange unit of the other heat exchange plate is a second heat exchange unit; The first heat exchange unit comprises a convex portion and a plurality of sub-concave portions, wherein the plurality of sub-concave portions are distributed on the periphery of the convex portion; the sub-concave portions of a plurality of adjacent first heat exchange units cooperate to form the concave portion; The second heat exchange unit includes a recess and a plurality of sub-protrusions, wherein the plurality of sub-protrusions are distributed on the periphery of the recess; the number of the sub-protrusions is equal to the number of the sub-recesses, and the adjacent sub-protrusions of the second heat exchange unit cooperate to form the protrusion.

9. The plate heat exchanger according to claim 8, characterized in that: In a plane perpendicular to the thickness direction of the plate heat exchanger, the outer peripheral contour of the heat exchange unit is a polygon; There is one sub-concave portion at the center of each side of the first heat exchange unit, and there is one sub-convex portion at the center of each side of the second heat exchange unit.

10. The plate heat exchanger according to claim 8 or 9, characterized in that: In a plane perpendicular to the thickness direction of the plate heat exchanger, the outer peripheral contour of the heat exchange unit is a rectangle; and / or, In the first heat exchange unit, a protruding height of a corner of the first heat exchange unit relative to the sub-recess is less than or equal to 1 / 2 of a protruding height of the protrusion relative to the recess; In the second heat exchange unit, a recessed depth of a corner of the second heat exchange unit relative to the sub-convex portion is less than or equal to 1 / 2 of a protruding height of the convex portion relative to the concave portion.

11. The plate heat exchanger according to claim 10, characterized in that: The heat exchange plate comprises a connecting portion, which is located at the periphery of the heat exchange portion and connected to the heat exchange portion; The connecting portion has a first fluid inlet hole and a first fluid outlet hole penetrating the connecting portion in a thickness direction of the connecting portion; the first fluid inlet hole and the first fluid outlet hole are located at opposite sides of the heat exchange portion and are in communication; In a plane perpendicular to the thickness direction of the plate heat exchanger, a long side of the heat exchange unit is perpendicular to a line connecting the centers of the first fluid inlet and the first fluid outlet.

12. The plate heat exchanger according to claim 10 or 11, characterized in that: In a plane perpendicular to the thickness direction of the plate heat exchanger, the aspect ratio of the outer peripheral contour of the heat exchange unit is 1.3 to 2.

5.

13. The plate heat exchanger according to any one of claims 8 to 12, characterized in that: In a plane perpendicular to the thickness direction of the plate heat exchanger, in each of the first heat exchange units, the center of the reserved surface of the convex portion coincides with the center of the first heat exchange unit; in each of the second heat exchange units, the center of the reserved surface of the concave portion coincides with the center of the second heat exchange unit.

14. The plate heat exchanger according to any one of claims 1 to 13, characterized in that: The heat exchange plate comprises a heat exchange portion and a connection portion, the heat exchange portion has the convex portion and the concave portion, the connection portion is located at the periphery of the heat exchange portion and is connected to the heat exchange portion, the connection portion is in the shape of a flat sheet, and the heat exchange portion and the connection portion are transitioned by a rounded corner; and / or, The connection structure is a welding point; and / or, In the same heat exchange plate, the reserved surface of the convex portion and the reserved surface of the concave portion have the same shape and size.

15. A heat exchange device, characterized in that: include: A plate heat exchanger according to any one of claims 1 to 14.

Citation Information

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