A multi-source heat flux regulation method, system, terminal and medium based on metamaterials

The supermaterial-based heat flow control method addresses uneven temperature distributions in complex structures with multiple heat sources by transforming heat conduction equations to regulate heat flow paths, achieving uniform temperature distribution.

CN115810410BActive Publication Date: 2025-07-15XI AN JIAOTONG UNIV
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Patent Information

Application Number
CN202211438236.4
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-11-16
Publication Date
2025-07-15
Estimated Expiration
2042-11-16

AI Technical Summary

Technical Problem

The prior art cannot effectively control the heat flow transfer and equalize the temperature field distribution in multi-heat source structures, especially in complex structures and multi-porous objects, which leads to uneven temperature field.

Method used

The multi-source heat flow regulation method based on metamaterials is adopted, through the form invariance of coordinate transformation and thermal conductivity equations, the heat flow propagation path is adjusted using coordinate translation and compression transformation, and the thermal conductivity distribution of thermal conductivity is derived, so as to achieve controllable propagation of heat flow and equalization control of the temperature field.

Benefits of technology

It realizes effective regulation of heat flow under the influence of multiple heat sources, achieves the balanced distribution of the temperature field, reduces temperature inhomogeneity, and provides a method to quickly obtain an ideal temperature field.

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Abstract

The present invention relates to the technical field of multi-source heat flux regulation, and discloses a multi-source heat flux regulation method, system, terminal and medium based on metamaterials. By utilizing the form invariance of the heat conduction equation, the transformation of the constitutive parameters of the heat-conducting material is achieved through coordinate transformation, so as to control the distribution of the heat flux in the physical space. The multi-source heat flux regulation method is based on the research of the heat flux propagation path control method. Aiming at the comprehensive influence of multiple internal and external heat sources on an object, as well as the uneven temperature field, which in turn causes irregular deformation, a multi-source heat flux regulation method based on metamaterials is established. Based on coordinate translation transformation and compression transformation, the thermal conductivity distribution of the heat-conducting structural material is deduced, and the controllable propagation of the heat flux from the high-temperature region to the low-temperature region along the specified direction is realized, and the effective regulation of the transfer of multiple heat sources in the structure is achieved, so that the multi-heat flux temperature field is evenly controlled.
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Description

Technical Field

[0001] The present invention relates to the technical field of multi-source heat flux regulation, and in particular to a multi-source heat flux regulation method that considers that an object has multiple heat sources and an uneven temperature field, and can quickly obtain an ideal temperature field distribution with a lower temperature, specifically a multi-source heat flux regulation method, system, terminal and medium based on metamaterials. Background Art

[0002] It can be known from the second law of thermodynamics that heat always propagates from a high-temperature object / region to a low-temperature object / region. When the structure is simple, the material distribution is uniform, and the heat source is single, the heat flux propagation path is simple and regular, and the formed temperature field is simple and evenly distributed. However, when there are multiple heat sources or the object structure is complex, the heat flux propagation path is no longer a simple and regular straight line, and the formed temperature field is unevenly distributed. When there are two heat sources inside the object, the heat flux propagation path of the object is a curve, and the isotherm at this time is also distributed as an irregular curve, such as Figure 1 , and if the structure of the object component is irregular and there are many holes inside, when it is affected by multiple internal and external heat sources, the internal heat flux propagation path is irregular, and the temperature rise and temperature field distribution are also complex. How to effectively control the internal propagation path of the multi-source structure so that the temperature field can be balanced, and there is no effective solution in the prior art. Summary of the Invention

[0003] In order to overcome the defects existing in the above-mentioned prior art, the purpose of the present invention is to provide a multi-source heat flux regulation method, system, terminal and medium based on metamaterials to solve the technical problems in the prior art that the multi-source heat cannot be effectively controlled in the structure and the temperature field cannot be balanced.

[0004] The present invention is realized through the following technical solutions:

[0005] A multi-source heat flux regulation method based on metamaterials includes the following steps:

[0006] Step 1, establish a multi-source heat flux model based on metamaterials;

[0007] Step 2, perform coordinate transformation according to the heat flux propagation path of the material, and input the material coordinate parameters after coordinate transformation into the multi-source heat flux model based on metamaterials to calculate the thermal conductivity of the material;

[0008] Step 3, input the thermal conductivity of the material into the transient simulation of the multi-source heat flux of the metamaterial to realize the multi-source heat flux regulation work of the metamaterial.

[0009] Preferably, in step 1, the multi-source heat flux model based on metamaterials is based on the form invariance of the passive heat conduction equation in the physical transformation space, and the calculation formula of the passive heat conduction equation is as follows:

[0010]

[0011] wherein, represents the gradient operator, κ is the thermal conductivity of the medium, T is the temperature; ρ is the density, and c is the heat capacity;

[0012] The specific formula for the form invariance of the passive heat conduction equation in the physical transformation space is as follows:

[0013]

[0014] wherein, represents taking the gradient in the transformation space; κ' and T' are respectively the thermal conductivity and temperature of the medium in the transformation space; ρ' and c' are respectively the density and heat capacity in the transformation space.

[0015] Furthermore, the calculation formulas for the density and heat capacity in the transformation space are as follows:

[0016]

[0017] The calculation formula for the thermal conductivity of the medium in the transformation space is as follows:

[0018]

[0019] wherein, J is the Jacobian transformation matrix, J T is the transpose of J, and det(J) is the determinant of the matrix

[0020] The calculation formula for the Jacobian transformation matrix is as follows:

[0021]

[0022] wherein, (x', y') represents the transformation space, and (x, y) represents the physical space, is for taking partial derivatives.

[0023] Preferably, in step 2, the coordinate transformation includes a coordinate translation transformation and a coordinate compression transformation. The coordinate translation transformation is to translate the heat along the axis to a distance at one end, changing the propagation path of the original heat flow; the coordinate compression transformation uses the principle of stretching and compression transformation to compress the heat in terms of width, and successively concentrates the heat in a set area.

[0024] Furthermore, the coordinate relation formulas before and after the coordinate translation transformation are as follows:

[0025] x′ = x

[0026] y' = y - x tan(θ)

[0027] Input the translated coordinates into the metamaterial-based multi-source heat flow model to obtain the Jacobian matrix after translation transformation and the thermal conductivity of the medium in the transformed space;

[0028] The formula for the Jacobian matrix after translation transformation is as follows:

[0029]

[0030] The calculation formula for the thermal conductivity of the medium in the transformed space after translation transformation is as follows:

[0031] κ′ xx = κ

[0032] κ' xy = -tan(θ)κ

[0033] κ' yy = (tan 2 (θ) + 1)κ

[0034] where θ is the translation angle.

[0035] Furthermore, the coordinate relationship before and after coordinate compression transformation is as follows:

[0036] x′ = x

[0037]

[0038] where, b1 and b are the compression widths, and c is the compression distance;

[0039] Input the compressed coordinates into the metamaterial-based multi-source heat flow model to obtain the Jacobian matrix after compression transformation and the thermal conductivity of the medium in the transformed space;

[0040]

[0041] The thermal conductivity of the medium in the transformed space after compression transformation is:

[0042]

[0043]

[0044]

[0045] where b1 and b are the compression widths.

[0046] Preferably, in step 3, the simulation conditions are as follows:

[0047] The material of the region outside the Ω' region is copper, and the density of copper at room temperature ρ = 8960 kg / m 3, the thermal conductivity κ = 400 W / (m·K), the heat capacity c = 385 J / (kg·K), boundary conditions are set as follows: the initial temperature of all regions is the ambient temperature of 293.15 K, the oA and AC sides are convective heat transfer boundaries, and the heat transfer coefficient is h = 10 W / (m 2 ·K); there are two boundary heat sources on the left side of the model, the value of the upper heat source is 40000 W / m 3 , and the lower heat source is 10000 W / m 3 .

[0048] A multi-source heat flux regulation system based on metamaterials, including

[0049] a model establishment module for establishing a multi-source heat flux model based on metamaterials;

[0050] a data processing module for performing coordinate transformation according to the heat flux propagation path of the material and inputting the material coordinate parameters after coordinate transformation into the multi-source heat flux model based on metamaterials to calculate the thermal conductivity of the material;

[0051] a simulation module for inputting the thermal conductivity of the material into the transient simulation of the multi-source heat flux of the metamaterials to realize the regulation of the multi-source heat flux of the metamaterials.

[0052] A mobile terminal includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the steps of a multi-source heat flux regulation method based on metamaterials as described above.

[0053] A computer-readable storage medium stores a computer program. When the computer program is executed by a processor, it implements the steps of a multi-source heat flux regulation method based on metamaterials as described above.

[0054] Compared with the prior art, the present invention has the following beneficial technical effects:

[0055] The present invention provides a multi-source heat flux regulation method based on metamaterials. By using the form invariance of the heat conduction equation, the constitutive parameters of the heat-conducting material are transformed through coordinate transformation, so as to control the distribution of the heat flux in physical space. The multi-source heat flux regulation method is based on the research of the heat flux propagation path control method. A multi-source heat flux regulation method based on metamaterials is established for the comprehensive influence of an object by multiple internal and external heat sources and the uneven temperature field, which leads to irregular deformation. Based on coordinate translation transformation and compression transformation, the thermal conductivity distribution of the heat-conducting structural material is deduced, and the controllable propagation of the heat flux from the high-temperature region to the low-temperature region along the specified direction is realized, and the effective regulation of the transfer of multiple heat sources in the structure is achieved, so that the multi-heat flux temperature field is evenly controlled. Description of the Drawings

[0056] Figure 1 It is a schematic diagram of the heat flow propagation path under multiple heat sources in the prior art.

[0057] Figure 2 It is a flowchart of the multi-source heat flow regulation method based on metamaterials in the present invention;

[0058] Figure 3 It is a schematic diagram of multi-source heat flow regulation based on metamaterials in the present invention;

[0059] Figure 4 It is a schematic diagram of heat flow regulation based on coordinate translation transformation in the present invention;

[0060] Figure 5 It is a schematic diagram of heat flow regulation based on coordinate compression transformation in the present invention;

[0061] Figure 6 It is a temperature distribution diagram without heat flow regulation for 120 s in the present invention;

[0062] Figure 7 It is a temperature distribution diagram after translation by 45° for 120 s in the present invention;

[0063] Figure 8 It is a temperature distribution diagram after b1 = 0.05 m and c = 0.15 m for 120 s in the present invention. Detailed implementation manners

[0064] In order to enable those skilled in the art to better understand the solution of the present invention, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

[0065] It should be noted that the terms "first", "second", etc. in the description and claims of the present invention and the above accompanying drawings are used to distinguish similar objects, and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged under appropriate circumstances so that the embodiments of the present invention described herein can be implemented in an order different from those illustrated or described herein. In addition, the terms "comprising" and "having" and any variations thereof are intended to cover non-exclusive inclusion. For example, a process, method, system, product or device comprising a series of steps or units is not necessarily limited to those clearly listed steps or units, but may include other steps or units not clearly listed or inherent to these processes, methods, products or devices.

[0066] The present invention will be further described in detail below with reference to the accompanying drawings:

[0067] The object of the present invention is to provide a multi-source heat flux regulation method, system, terminal and medium based on metamaterials, so as to solve the technical problems in the prior art that the transfer of multiple heat sources in a structure cannot be effectively controlled and the temperature field cannot be balanced.

[0068] Specifically, according to Figure 2 As shown, the multi-source heat flux regulation method based on metamaterials includes the following steps:

[0069] Step 1, establish a multi-source heat flux model based on metamaterials;

[0070] Specifically, inspired by the working principle of the "thermal cloak", a study on the influence law of material parameters on the heat flow characteristics is carried out. Heat flows from the high-temperature region to the low-temperature region, and this process of heat diffusion in solids can be described by the heat conduction equation. Based on the form invariance of the passive heat conduction equation in the physical transformation space, the calculation formula of the passive heat conduction equation is as follows:

[0071]

[0072] Where represents the gradient operator, κ is the thermal conductivity of the medium, T is the temperature; ρ is the density, and c is the heat capacity;

[0073] The specific formula for the form invariance of the passive heat conduction equation in the physical transformation space is as follows:

[0074]

[0075] Where represents taking the gradient in the transformation space; κ' and T' are the thermal conductivity and temperature of the medium in the transformation space, respectively; ρ' and c' are the density and heat capacity of the medium in the transformation space, respectively.

[0076] Among them, the calculation formulas for the density and heat capacity of the transformation space are as follows:

[0077]

[0078] The calculation formula for the thermal conductivity of the medium in the transformation space is as follows:

[0079]

[0080] Among them, J is the Jacobian transformation matrix, J T is the transpose of J, and det(J) is the determinant of the matrix

[0081] The calculation formula for the Jacobian transformation matrix is as follows:

[0082]

[0083] Among them, (x', y') represents the transformed space, and (x, y) represents the physical space. For partial derivative calculation.

[0084] Based on the form invariance of the heat conduction equation under coordinate transformation, the optical transformation theory equivalent the space transformation to the transformation of heat flux thermal conductivity parameters to achieve the artificial control of heat flux.

[0085] Step 2: Perform coordinate transformation according to the heat flux propagation path of the material, and input the coordinate parameters of the material after coordinate transformation into the multi-source heat flux model based on metamaterials to calculate the thermal conductivity of the material.

[0086] Specifically, the coordinate transformation includes coordinate translation transformation and coordinate compression transformation. The coordinate translation transformation is to translate the heat along the axis to a certain distance at one end, changing the propagation path of the original heat flux, as Figure 4 shown; the coordinate compression transformation uses the principle of stretching transformation to compress the heat in terms of width, and sequentially concentrate the heat in the set area.

[0087] Among them, the coordinate relation formulas before and after the coordinate translation transformation are as follows:

[0088] x′ = x (6)

[0089] y' = y - x tan(θ) (7)

[0090] Input the translated coordinates into the multi-source heat flux model based on metamaterials to obtain the Jacobian matrix after translation transformation and the thermal conductivity of the medium in the transformed space.

[0091] Among them, the formula of the Jacobian matrix after translation transformation is as follows:

[0092]

[0093] The calculation formula of the thermal conductivity of the medium in the transformed space after translation transformation is as follows:

[0094] κ′ xx = κ (9)

[0095] κ' xy = -tan(θ)κ (10)

[0096] κ' yy = (tan 2 (θ) + 1)κ (11)

[0097] Among them, θ is the translation angle.

[0098] Among them, the coordinate relation formulas before and after the coordinate compression transformation are as follows:

[0099] x′ = x (12)

[0101]

[0102] Among them, b1 and b are the compression widths, and c is the compression distance.

[0103] Input the compressed coordinates into the metamaterial-based multi-source heat flux model to obtain the Jacobian matrix after compression transformation and the thermal conductivity of the transformed space medium, as Figure 5 shown;

[0104]

[0105] The thermal conductivity of the transformed space medium after compression transformation is:

[0106]

[0107]

[0108]

[0109] Among them, b1 and b are the compression widths.

[0110] Step 3, input the thermal conductivity of the material into the transient simulation of the multi-source heat flux of the metamaterial to achieve the regulation of the multi-source heat flux of the metamaterial.

[0111] Specifically, the material outside Ω' is copper. At room temperature, the density of copper ρ = 8960 kg / m 3 , the thermal conductivity κ = 400 W / (m·K), the heat capacity c = 385 J / (kg·K), and the boundary conditions are set as follows: the initial temperature of all regions is the ambient temperature of 293.15 K, and the oA and AC sides are convective heat transfer boundaries with a heat transfer coefficient of h = 10 W / (m 2 ·K). There are two boundary heat sources on the left side of the model. The value of the upper heat source is 40000 W / m 3 , and the lower heat source is 10000 W / m 3 .

[0112] In the present invention, the obtained material is an anisotropic material, and the anisotropic metamaterial is used to realize the directional regulation of the heat flux in space. And the Comsol multiphysics software is used for transient simulation to verify the effectiveness and feasibility of the method.

[0113] In the present invention, aiming at the situation of uneven temperature field caused by the comprehensive influence of multiple internal and external heat sources on an object, the application object of the multi-source heat flux regulation method based on the metamaterial is studied, as Figure 2As shown; using transformation optics theory to study the heat flow propagation path, coordinate transformation, and the relationship between material parameters; using coordinate translation and compression transformation to derive a multi-source heat flow regulation method based on metamaterials; inputting the material coordinate parameters after coordinate transformation into the multi-source heat flow model based on metamaterials to calculate the thermal conductivity of the material.

[0114] The present invention studies a heat flow regulation method that can be realized in view of the comprehensive influence of various internal and external heat sources on an object. When an object is affected by two or more heat sources, the heat flow propagation path is irregular, the temperature field is uneven, and thus an irregular deformation situation occurs. At this time, it is very difficult for the object to be controlled by simple heat error prevention and heat error compensation.

[0115] Inspired by the working principle of the "thermal cloak", based on the form invariance of the heat conduction equation under coordinate transformation, the present invention conducts research on the influence law of material parameters on the heat flow characteristics.

[0116] The present invention uses coordinate translation transformation and compression transformation to establish an applicable multi-source heat flow regulation method based on metamaterials. By using coordinate translation transformation, the heat can be translated a certain distance along an axis to change the original path; and by using coordinate compression transformation, that is, using the principle of stretching transformation, the heat is compressed in width to be concentrated in a certain area. The multi-source heat flow regulation method can obtain the thermal conductivity of the required material according to relevant calculations such as coordinate transformation, and uses Comsol multiphysics software to conduct transient simulation to verify the feasibility of the method. The present invention uses anisotropic metamaterials to achieve heat flow regulation. In transformation optics theory, material transformation can be used to equivalent coordinate transformation, that is, the direction regulation of heat flow in space is achieved through coordinate transformation, and the influence of this space coordinate transformation on heat flow can be realized by means of the medium obtained by the transformation, and this medium is generally anisotropic.

[0117] For Figure 4 In the structure, take a = b = 0.2m, and use Comsol multiphysics software to conduct transient simulation. The simulation conditions are as follows: The material outside Ω' is copper. At room temperature, the density of copper ρ = 8960 kg / m 3 , the thermal conductivity κ = 400 W / (m·K), the heat capacity c = 385 J / (kg·K), and the material parameters in the Ω' region are given by the calculated values of formulas (9)-(11). Boundary condition setting: The initial temperature of all regions is the ambient temperature 293.15K. The oA and AC sides are convective heat transfer boundaries, and the heat transfer coefficient is h = 10 W / (m 2 ·K). There are two boundary heat sources on the left side of the model. The numerical value of the upper heat source is 40000 W / m 3 , and the lower heat source is 10000 W / m 3 . Calculate the temperature distribution of the multi-source heat flow regulation method at different times. Figure 7The shown result is the temperature distribution map after a 45° translation for 120 s, and the temperature contour map without heat flux regulation. Figure 6 In comparison, the temperature contour map shows that after the coordinate transformation, the temperature in the Ω region has significantly decreased, and the direction of the heat has also significantly changed.

[0118] For the compression transformation and the translation transformation, the same conditions are set. The structural parameters a = b = 0.2 m. Before the spatial transformation, the material of all structures is copper. The relevant value of the compression amplitude b1 = 0.05 m, c = 0.15 m. Then, the thermal conductivity of the heat conduction structure can be calculated by formulas (15)-(17).

[0119] Using the Comsol multiphysics software for transient simulation, the structural parameters, simulation conditions, and boundary settings are the same as those in the previous coordinate transformation. Figure 8 The shown result is the temperature distribution map after 120 s with b1 = 0.05 m and c = 0.15 m. The temperature contour map shows that after the coordinate compression transformation, the temperature in the Ω region has significantly decreased, and the direction of the heat has also significantly changed.

[0120] In summary, a multi-source heat flux regulation method based on metamaterials provided by the present invention explores the influence relationship between the heat flux propagation direction, propagation effect, and material thermal parameters. Aiming at the situation of multi-heat sources and complex and unbalanced temperature fields, from the perspective of temperature field control, a new idea for quickly obtaining an ideal temperature field distribution with a lower temperature rise is proposed, and the thermal deformation corresponding to this temperature distribution is small.

[0121] The present invention also provides a multi-source heat flux regulation system based on metamaterials, including a model establishment module, a data processing module, and a simulation module;

[0122] The model establishment module is used to establish a multi-source heat flow model based on metamaterials;

[0123] The data processing module is used to perform coordinate transformation according to the heat flux propagation path of the material, and input the material coordinate parameters after the coordinate transformation into the multi-source heat flow model based on metamaterials to calculate the thermal conductivity of the material;

[0124] The simulation module is used to input the thermal conductivity of the material into the transient simulation of the multi-source heat flux of the metamaterials to realize the multi-source heat flux regulation work of the metamaterials.

[0125] The present invention also provides a mobile terminal, including a memory, a processor, and a computer program stored in the memory and executable on the processor, such as a multi-source heat flux regulation program based on metamaterials.

[0126] When the processor executes the computer program, it implements the steps of the above-mentioned multi-source heat flux regulation method based on metamaterials, for example, including the following steps:

[0127] Step 1, establish a multi-source heat flow model based on metamaterials;

[0128] Step 2, perform coordinate transformation according to the heat flow propagation path of the material, and input the material coordinate parameters after coordinate transformation into the multi-source heat flow model based on metamaterials to calculate the thermal conductivity of the material;

[0129] Step 3, input the thermal conductivity of the material into the transient simulation of the multi-source heat flow of metamaterials to realize the regulation of the multi-source heat flow of metamaterials.

[0130] Alternatively, when the processor executes the computer program, it realizes the functions of each module in the above system. For example: a model establishment module, which is used to establish a multi-source heat flow model based on metamaterials;

[0131] A data processing module, which is used to perform coordinate transformation according to the heat flow propagation path of the material, and input the material coordinate parameters after coordinate transformation into the multi-source heat flow model based on metamaterials to calculate the thermal conductivity of the material;

[0132] A simulation module, which is used to input the thermal conductivity of the material into the transient simulation of the multi-source heat flow of metamaterials to realize the regulation of the multi-source heat flow of metamaterials.

[0133] Exemplarily, the computer program can be divided into one or more modules / units. The one or more modules / units are stored in the memory and executed by the processor to complete the present invention. The one or more modules / units can be a series of computer program instruction segments capable of performing specific functions, and these instruction segments are used to describe the execution process of the computer program in the mobile terminal. For example, the computer program can be divided into a model establishment module, a data processing module, and a simulation module; the specific functions of each module are as follows:

[0134] A model establishment module, which is used to establish a multi-source heat flow model based on metamaterials;

[0135] A data processing module, which is used to perform coordinate transformation according to the heat flow propagation path of the material, and input the material coordinate parameters after coordinate transformation into the multi-source heat flow model based on metamaterials to calculate the thermal conductivity of the material;

[0136] A simulation module, which is used to input the thermal conductivity of the material into the transient simulation of the multi-source heat flow of metamaterials to realize the regulation of the multi-source heat flow of metamaterials.

[0137] The mobile terminal can be a computing device such as a desktop computer, a notebook, a palm computer, and a cloud server. The mobile terminal may include, but is not limited to, a processor and a memory.

[0138] The so-called processor may be a Central Processing Unit (CPU), or may also be other general-purpose processors, Digital Signal Processors (DSPs), Application Specific Integrated Circuits (ASICs), Field-Programmable Gate Arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor may be a microprocessor or the processor may also be any conventional processor, etc. The processor is the control center of the mobile terminal and connects various parts of the entire mobile terminal through various interfaces and lines.

[0139] The memory can be used to store the computer program and / or module. The processor realizes various functions of the mobile terminal by running or executing the computer program and / or module stored in the memory, and by calling the data stored in the memory.

[0140] The memory may mainly include a program storage area and a data storage area. Among them, the program storage area can store an operating system, application programs required for at least one function (such as a sound playback function, an image playback function, etc.); the data storage area can store data created according to the use of the mobile phone (such as audio data, phone book, etc.). In addition, the memory may include high-speed random access memory, and may also include non-volatile memory, such as a hard disk, a memory, a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) card, a Flash Card, at least one magnetic disk storage device, a flash memory device, or other volatile solid-state storage devices.

[0141] The present invention also provides a computer-readable storage medium. The computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the steps of the method for multi-source heat flow regulation based on metamaterials are realized.

[0142] If the modules / units integrated in the mobile terminal are implemented in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium.

[0143] Based on such understanding, all or part of the processes in the above method of the present invention can also be completed by instructing relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium. When the computer program is executed by a processor, the steps of the above multi-source heat flow regulation method based on metamaterials can be implemented. Among them, the computer program includes computer program code, and the computer program code can be in the form of source code, object code, executable file or some intermediate form, etc.

[0144] The computer-readable medium may include: any entity or device capable of carrying the computer program code, recording medium, USB flash drive, mobile hard disk, magnetic disk, optical disk, computer memory, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), electrical carrier signal, telecommunication signal, and software distribution medium, etc.

[0145] It should be noted that the content included in the computer-readable medium can be appropriately increased or decreased according to the requirements of legislation and patent practice within the jurisdiction. For example, in some jurisdictions, according to legislation and patent practice, the computer-readable medium does not include electrical carrier signals and telecommunication signals.

[0146] Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications or equivalent replacements can still be made to the specific implementation manners of the present invention, and any modification or equivalent replacement that does not depart from the spirit and scope of the present invention should be covered by the protection scope of the claims of the present invention.

Claims

1. A multi-source heat flux regulation method based on metamaterials, characterized in that It includes the following steps: Step 1, establish a multi-source heat flow model based on metamaterials; The multi-source heat flow model based on metamaterials is based on the form invariance of the passive heat conduction equation in the physical transformation space, and the calculation formula of the passive heat conduction equation is as follows: where, denotes the gradient operator, κ is the thermal conductivity of the medium, T is the temperature; ρ is the density, and c is the heat capacity; The specific formula for the form invariance of the passive heat conduction equation in the physical transformation space is as follows: Among them, represents the gradient calculation in the transformed space; κ' and T' are the thermal conductivity and temperature of the medium in the transformed space respectively; ρ' and c' are the density and heat capacity of the transformed space respectively. The calculation formulas for the density and heat capacity in the transformation space are as follows: The calculation formula for the thermal conductivity of the medium in the transformation space is as follows: where J is the Jacobian transformation matrix, J T is the transpose of J, and det(J) is the determinant of the matrix The calculation formula for the Jacobian transformation matrix is as follows: where (x', y') represents the transformed space and (x, y) represents the physical space, for partial derivative; Step 2, perform coordinate transformation according to the heat flow propagation path of the material, and input the material coordinate parameters after coordinate transformation into the multi-source heat flow model based on metamaterials to calculate the thermal conductivity of the material; Step 3, input the thermal conductivity of the material into the transient simulation of the multi-source heat flow of the metamaterials to realize the regulation of the multi-source heat flow of the metamaterials.

2. The multi-source heat flux regulation method based on metamaterials according to claim 1, characterized in that In Step 2, the coordinate transformation includes coordinate translation transformation and coordinate compression transformation. Among them, the coordinate translation transformation is to translate the heat along the axis to a certain distance at one end to change the propagation path of the original heat flow; the coordinate compression transformation uses the principle of stretching transformation to compress the heat in terms of width, and successively concentrate the heat in the set area.

3. The multi-source heat flux regulation method based on metamaterials according to claim 2, wherein, The coordinate relationship formula before and after the coordinate translation transformation is as follows: x’ = x y' = y - xtan(θ) Input the translated coordinates into the multi-source heat flow model based on metamaterials to obtain the Jacobian matrix after translation transformation and the thermal conductivity of the medium in the transformation space; Among them, the formula for the Jacobian matrix after translation transformation is as follows: The calculation formula for the thermal conductivity of the medium in the transformation space after translation transformation is as follows: κ’ xx = κ κ' xy = -tan(θ)κ κ' yy =(tan 2 (θ)+1)κ Among them, θ is the translation angle.

4. A multi-source heat flux regulation method based on metamaterials according to claim 3, characterized in that The coordinate relationship formula before and after the coordinate compression transformation is as follows: x’ = x Among them, b1 and b are the compression widths, and c is the compression distance; Input the compressed coordinates into the multi-source heat flow model based on metamaterials to obtain the Jacobian matrix after compression transformation and the thermal conductivity of the medium in the transformation space; The thermal conductivity of the medium in the transformation space after compression transformation is: Among them, b1 and b are the compression widths.

5. A multi-source heat flux regulation method based on metamaterials according to claim 1, characterized in that In Step 3, the simulation conditions are as follows: The material of the region outside the Ω' region is copper. At room temperature, the density of copper ρ = 8960 kg / m 3 , the thermal conductivity κ = 400 W / (m·K), the heat capacity c = 385 J / (kg·K). Boundary conditions are set as follows: The initial temperature of all regions is the ambient temperature of 293.15 K. The oA and AC sides are convective heat transfer boundaries, and the heat transfer coefficient is h = 10 W / (m 2 ·K); There are two boundary heat sources on the left side of the model. The value of the upper heat source is 40000 W / m 3 , and the lower heat source is 10000 W / m 3 .

6. A multi-source heat flux regulation system based on metamaterials, which is used to implement a multi-source heat flux regulation method based on metamaterials according to any one of claims 1-5, characterized in that, Include A model establishment module for establishing a multi-source heat flow model based on metamaterials; A data processing module for performing coordinate transformation according to the heat flow propagation path of the material, and inputting the material coordinate parameters after coordinate transformation into the multi-source heat flow model based on metamaterials to calculate the thermal conductivity of the material; A simulation module for inputting the thermal conductivity of the material into the transient simulation of the multi-source heat flow of the metamaterials to realize the regulation of the multi-source heat flow of the metamaterials.

7. A mobile terminal, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the computer program, it realizes the steps of a multi-source heat flow regulation method based on metamaterials as described in any one of claims 1 to 5.

8. A computer-readable storage medium storing a computer program, characterized in that, When the computer program is executed by the processor, it realizes the steps of a multi-source heat flow regulation method based on metamaterials as described in any one of claims 1 - 5.

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