TPMS structure improvement method based on Gyandroid function regulation and control and heat exchanger structure

Abstract

The invention discloses a TPMS (Tire Pressure Monitor System) structure improvement method based on Gyandroid function regulation and control and a heat exchanger structure. Through a brand-new improved Gyandroid function regulation and control method, a runner of a Gyandroid structure is not provided with a straight through hole any more, fluid is prevented from excessively flowing along a low-flow-resistance path, meanwhile, the bending degree of a wall surface is increased, on one hand, the surface area / volume ratio is increased, and on the other hand, the heat exchange efficiency is improved; on the other hand, the three-dimensional spiral disturbance on the fluid is enhanced, the efficient secondary flow (transverse mixing) and eddy current effect is promoted, the turbulent flow mixing capacity is enhanced, the heat exchange performance based on the optimized TPMS structure can be further improved, and more uniform and more efficient heat transfer is achieved.

Description

Technical Field

[0001] The present invention belongs to the technical field of heat exchangers, and in particular relates to a TPMS structure improvement method based on Gyroid function control and a heat exchanger structure. Background Art

[0002] Triply Periodic Minimal Surface (TPMS) is a periodic implicit surface with zero average curvature. The TPMS lattice structure constructed based on this type of surface not only has excellent mechanical properties such as high specific strength, high specific stiffness, high specific surface area, and high energy absorption, but also has special functions such as good thermal insulation and heat dissipation, noise reduction, damping and shock absorption, and electromagnetic shielding. Its excellent structural performance gives it a very broad application prospect in aerospace, electronic heat dissipation, biomedicine and other fields.

[0003] The TPMS structure is also particularly important in the design of efficient heat exchangers. While optimizing heat exchange efficiency, traditional heat exchanger structures (fin type, bellows type, microchannel heat exchanger, etc.) usually face problems such as large flow resistance, poor flow uniformity, and complex manufacturing processes. In contrast, the TPMS structure, with its highly adjustable topology, achieves lower pressure drop loss, larger heat exchange area, and more complex flow mixing characteristics, thereby improving heat exchange efficiency.

[0004] Diamond, Gyroid, and Tub-Primitive are three typical TPMS structures. Among the three TPMS structures, TPMS-Diamond has the best convective heat transfer performance, which can be attributed to the fact that its geometric structure has no "through holes", resulting in a stronger ability to disturb the fluid, thereby enhancing heat transfer; Tub-Primitive structure has more through holes, the fluid flow resistance is smaller, and it is not easy to produce strong disturbances, but the effect of convective heat transfer is usually not as good as Diamond structure, which is suitable for low flow rate and simpler heat exchange scenarios, but the heat transfer effect is poor at high flow rate.

[0005] The main advantage of the Gyroid structure is that it has a complex three-dimensional surface, which gives it significant advantages in fluid flow, thermal conductivity, mechanical stability and adaptability. In particular, the Gyroid structure performs well in applications that require uniform heat flow distribution and high heat exchange efficiency. In addition, its high strength-to-mass ratio and low fluid resistance make it an ideal choice in many engineering applications. Compared with the Diamond structure and Tub-Primitive structure, the Gyroid structure provides better versatility and more uniform performance, and is more adaptable.

[0006] However, the existing Gyroid structure still has some limitations in heat exchange applications. First, the standard Gyroid structure has a "through hole" that seems to pass through the flow channel, such as Figure 1 As shown in the figure, such a structure will cause part of the fluid to directly pass through the "through hole" without participating in lateral mixing and directly flow out of the heat exchanger, so that this part of the fluid absorbs less heat, which not only reduces the overall heat transfer efficiency but also causes uneven temperature distribution of the heat exchanger; secondly, although the TPMS structure can provide a continuous flow channel, the wall of the standard Gyroid structure is slowly curved, and the three-dimensional spiral disturbance of the fluid flow is relatively small, making it difficult to form stronger turbulent mixing. Summary of the invention

[0007] In view of the technical defects of the standard Gyroid structure in heat exchange applications, the present invention improves the standard Gyroid function and applies it to the TPMS structure improvement, and further uses the improved TPMS structure as a heat exchanger structure to improve the convective heat exchange capacity of the TPMS structure.

[0008] A TPMS structure improvement method based on Gyroid function regulation is proposed. Control items containing a control factor α are introduced into the three addends of the standard Gyroid function to form an improved Gyroid function. The size of the through hole in the Gyroid structure and the tortuosity of the surface structure are regulated by adjusting the size of the control factor α. Meanwhile, the control items of the addends in the xy plane contain an associated variable z, the control items of the addends in the yz plane contain an associated variable x, and the control items of the addends in the zx plane contain an associated variable y.

[0009] The core idea of ​​this scheme is to add a periodic change related to the perpendicular direction to each plane in the three-dimensional space, and adjust the periodic change in combination with the control factor α, so that the surface morphology of the Gyroid structure is significantly changed, and the shape and size of the straight-through holes in the Gyroid structure are also significantly changed. By adjusting the control factor α, the straight-through holes can even disappear completely.

[0010] Preferably, the control term is a sine term or a cosine term, and the independent variable of the sine term or the cosine term includes the control factor α.

[0011] Preferably, the independent variable of the control item of the addend item in the xy plane includes the sine and / or cosine of the variable z, the independent variable of the control item of the addend item in the yz plane includes the sine and / or cosine of the variable x, and the independent variable of the control item of the addend item in the zx plane includes the sine and / or cosine of the variable y.

[0012] For example, the control term for the addend in the xy plane is , the control term of the addend in the yz plane is , the control term of the addend in the zx plane is .

[0013] For example, the control term of the addend in the xy plane is , the control term of the addend in the yz plane is , the control term of the addend in the zx plane is .

[0014] Preferably, the control term is the product of a sine term or a cosine term containing a control factor α and a sine term or a cosine term containing associated variables z / x / y; or, the control term is the product of a sine term or a cosine term containing a control factor α, a sine term containing associated variables z / x / y, and a cosine term containing associated variables z / x / y.

[0015] For example, the control term for the addend in the xy plane is , the control term of the addend in the yz plane is , the control term of the addend in the zx plane is Hereinafter, L represents the unit length of the TPMS structure.

[0016] The present invention also protects a heat exchanger structure obtained based on the above TPMS structure improvement method.

[0017] The present invention uses a new improved Gyroid function control method to make the flow channel of the Gyroid structure no longer have a straight "through hole", thereby preventing the fluid from flowing too much along the low-resistance path and increasing the wall curvature. On the one hand, it increases the surface area / volume ratio, and on the other hand, it strengthens the three-dimensional spiral disturbance of the fluid, promotes efficient secondary flow (lateral mixing) and eddy effect, and enhances turbulent mixing ability, thereby further improving heat exchange performance and achieving more uniform and efficient heat transfer. BRIEF DESCRIPTION OF THE DRAWINGS

[0018] Figure 1 This is a schematic diagram of a straight through hole in a standard Gyroid structure; Figure 2 Schematic diagram of the structure of a standard Gyroid, where (a) is a schematic diagram of a unit structure and (b) is a schematic diagram of an array structure; Figure 3 The three-dimensional view and the top view of the Gyroid unit structure disclosed in Example 1 at different α values; FIG4( a ) is a three-dimensional view of the Gyroid unit structure disclosed in Example 2 when α is 20 / π; FIG4( b ) is a top view of the Gyroid unit structure disclosed in Example 2 when α is 20 / π; FIG. 5( a ) is a three-dimensional view of the Gyroid unit structure disclosed in Example 3 when α is 0.5 FIG5( b ) is a top view of the Gyroid unit structure disclosed in Example 3 when α is 0.5; FIG6( a ) is a three-dimensional view of the Gyroid unit structure disclosed in Example 4 when α is 20 / π; FIG6( b ) is a top view of the Gyroid unit structure disclosed in Example 4 when α is 20 / π; FIG7( a ) is a three-dimensional view of the Gyroid unit structure disclosed in Example 5 when α is 0.5; FIG7( b ) is a top view of the Gyroid unit structure disclosed in Example 5 when α is 0.5; FIG8( a ) is a three-dimensional view of the Gyroid unit structure disclosed in Example 6 when α is 40 / π; FIG8( b ) is a top view of the Gyroid unit structure disclosed in Example 6 when α is 40 / π; FIG9( a ) is a three-dimensional view of the Gyroid unit structure disclosed in Example 7 when α is 0.5; FIG9( b ) is a top view of the Gyroid unit structure disclosed in Example 7 when α is 0.5. DETAILED DESCRIPTION

[0019] The present invention is further described in detail below in conjunction with the accompanying drawings and specific embodiments. The embodiments of the present invention are provided for the purpose of illustration and description, and are not intended to be exhaustive or to limit the present invention to the disclosed forms. Many modifications and variations will be apparent to those of ordinary skill in the art. The embodiments are selected and described in order to better illustrate the principles and practical applications of the present invention, and to enable those of ordinary skill in the art to understand the present invention and thereby design various embodiments with various modifications suitable for specific uses.

[0020] Porous structures can be found everywhere in nature. Porous media is a solid structure that contains pores and the basic physical structure of the material itself. Common porous structures can be divided into disordered and ordered. Disordered porous structures can be divided into open-cell structures and closed-cell structures. Common ones include foam porous structures. Common ordered porous structures include truss structures, mesh structures, honeycomb structures, and the latest TPMS structures. The Gyroid structure is one of the three typical TPMS structures. Figure 2 Schematic diagrams of the standard Gyroid unit structure (a) and array structure (b) are given.

[0021] Standard Gyroid function equation: .

[0022] Thermal performance refers to the effect of the overall structure on the overall temperature distribution under the influence of external heat loads, such as heat conduction, heat convection and heat radiation. Due to the severe flight environment and special flight missions, the thermal protection system of the aerospace structure has high performance requirements compared to ordinary aircraft, and its design is extremely important. In the field of aerospace, there is often a contradiction in the development of thermal protection structures, such as improving the efficiency of thermal protection structures, reducing the weight of structures, and withstanding the harsh aerodynamic thermal environment of hypersonic aircraft. The present invention aims to provide an improved Gyroid function, and to regulate the TPMS structure based on the Gyroid function, so as to significantly improve its convective heat transfer performance and achieve more efficient heat energy transfer.

[0023] Example 1

[0024] The improved Gyroid function equation given in this embodiment is:

[0025] Here, L represents the unit length of the TPMS structure and C represents the offset of the original unit surface. These control terms are chosen because they can accurately control the structure without compromising its inherent topology and connectivity.

[0026] Figure 3 The three-dimensional view and top view of the Gyroid unit structure under different α values ​​are shown. It can be seen that by adjusting the size of the control factor α, the surface morphology of the Gyroid structure can be significantly changed. When α is 0, the improved Gyroid unit structure is completely consistent with the standard Gyroid unit structure.

[0027] From a top-down perspective, as the control factor α increases, the shape and size of the through holes in the Gyroid structure change significantly. The through holes gradually change from a circle to a nearly quadrilateral shape, and the overall area of ​​the through holes continues to shrink. When α reaches 0.45L, the through holes disappear completely. From a three-dimensional perspective, as the control factor α increases, the surface morphology in the Gyroid structure also gradually becomes tortuous, which is beneficial to increase the contact area between the fluid and the solid surface and increase the turbulence formation on the surface of the structure.

[0028] By adjusting the size of α, not only can the size of the straight-through hole be adjusted, effectively preventing the fluid from preferentially flowing through the low-resistance area, thereby improving the heat exchange efficiency between the fluid and the solid surface. At the same time, the improved Gyroid unit structure also forms surface structures with different degrees of tortuosity, enhancing the disturbance effect of the fluid, making it easier for the fluid to form efficient secondary flow and eddy effects during the flow process.

[0029] Example 2

[0030] The improved Gyroid function equation given in this embodiment is: ,

[0031] Based on Example 1, this example deletes the cosine containing the associated variables z / x / y. FIG. 4( a ) and FIG. 4( b ) are respectively a stereoscopic view and a top view when α is 20 / π.

[0032] Example 3

[0033] The improved Gyroid function equation given in this embodiment is: ,

[0034] In this embodiment, on the basis of the second embodiment, the control term of cosine is changed to sine. FIG. 5( a ) and FIG. 5( b ) are respectively a stereoscopic view and a top view when α is 0.5.

[0035] Example 4

[0036] The improved Gyroid function equation given in this embodiment is: ,

[0037] This embodiment is based on the embodiment 1, and deletes the sine containing the associated variables z / x / y. FIG. 6( a ) and FIG. 6( b ) are respectively a stereoscopic view and a top view when α is 20 / π.

[0038] Example 5

[0039] The improved Gyroid function equation given in this embodiment is: , In this embodiment, based on the fourth embodiment, the control term of cosine is changed to sine. FIG. 7( a ) and FIG. 7( b ) are respectively a stereoscopic view and a top view when α is 0.5.

[0040] Example 6

[0041] The improved Gyroid function equation given in this embodiment is: , In this embodiment, based on the first embodiment, the control term of cosine is changed to sine. FIG8( a ) and FIG8 ( b ) are respectively a stereoscopic view and a top view when α is 40 / π.

[0042] Example 7

[0043] The improved Gyroid function equation given in this embodiment is: , Based on Example 1, this example decouples the control factor α and the associated variables z / x / y, splits them into independent control factors, and multiplies them to obtain control items. FIG9(a) and FIG9(b) are respectively a three-dimensional view and a top view when α is 0.5.

[0044] Based on Examples 2-7, it can be seen that these deformation adjustment control items can change the shape of the through hole by adjusting the value of the control factor, thereby achieving the effect of eliminating the through hole.

[0045] Example 8

[0046] This embodiment proposes a heat exchanger structure, which is obtained based on the TPMS structure improvement method described in embodiments 1-7.

[0047] Compared with the heat exchanger based on the standard Gyroid structure, the flow channel of the heat exchanger structure designed in this embodiment no longer has a straight "through hole", which prevents the fluid from flowing too much along the low-resistance path, and at the same time increases the wall curvature. On the one hand, it increases the surface area / volume ratio, and on the other hand, it strengthens the three-dimensional spiral disturbance of the fluid, promotes efficient secondary flow (lateral mixing) and eddy effect, and enhances turbulent mixing ability, thereby significantly improving the convective heat transfer performance and achieving more efficient heat energy transfer.

[0048] Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field and related fields without creative work should fall within the scope of protection of the present invention.

Claims

1. A TPMS structure improvement method based on Gyroid function control, characterized in that: The control term containing the control factor α is introduced into the three addends of the standard Gyroid function to form an improved Gyroid function. The size of the through hole in the Gyroid structure and the tortuosity of the surface structure can be controlled by adjusting the size of the control factor α. At the same time, the control item of the addend in the xy plane includes the associated variable z, the control item of the addend in the yz plane includes the associated variable x, and the control item of the addend in the zx plane includes the associated variable y.

2. The TPMS structure improvement method according to claim 1, characterized in that: The control term is a sine term or a cosine term, and the independent variable of the sine term or the cosine term includes a control factor α.

3. The TPMS structure improvement method according to claim 2, characterized in that: The independent variables of the control items of the addend items in the xy plane include the sine and / or cosine of the variable z, the independent variables of the control items of the addend items in the yz plane include the sine and / or cosine of the variable x, and the independent variables of the control items of the addend items in the zx plane include the sine and / or cosine of the variable y.

4. The TPMS structure improvement method according to claim 3, characterized in that: The control term for the addend in the xy plane is , the control term of the addend in the yz plane is , the control term of the addend in the zx plane is , where L represents the unit length of the TPMS structure.

5. The TPMS structure improvement method according to claim 3, characterized in that: The control term for the addend in the xy plane is , the control term of the addend in the yz plane is , the control term of the addend in the zx plane is , where L represents the unit length of the TPMS structure.

6. The TPMS structure improvement method according to claim 1, characterized in that: The control term is the product of a sine term or a cosine term containing a control factor α and a sine term or a cosine term containing associated variables z / x / y.

7. The TPMS structure improvement method according to claim 1, characterized in that: The control term is the product of a sine term or a cosine term including a control factor α, a sine term including associated variables z / x / y, and a cosine term including associated variables z / x / y.

8. The TPMS structure improvement method according to claim 7, characterized in that: The control term for the addend in the xy plane is , the control term of the addend in the yz plane is , the control term of the addend in the zx plane is , where L represents the unit length of the TPMS structure.

9. A heat exchanger structure, characterized in that: The method for improving the TPMS structure is obtained based on any one of claims 1 to 8.

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