Creation method of high polymer heat conduction simulation model and storage medium
Through the geometric boundary element thermal conduction simulation model and NURBS basis function such as two-dimensional steady state, the problem of difficult to determine the internal temperature distribution of polymer materials is solved, efficient and accurate temperature distribution acquisition is achieved, and the evaluation of polymer thermal insulation performance is improved accuracy.
Patent Information
- Application Number
- CN202411298488.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-09-18
- Publication Date
- 2025-01-17
AI Technical Summary
The prior art is difficult to accurately measure the temperature distribution at any point inside the polymer material, which makes it difficult to evaluate its thermal conductivity.
Using a geometric boundary element thermal conduction simulation model such as two-dimensional steady state, combined with the NURBS basis function, the control point characteristic information and temperature of the polymer specimen is obtained, and the heat conduction equation is established and solved, and the temperature distribution of any point inside the polymer material is obtained. .
It has achieved efficient and accurate acquisition of temperature distribution at any point inside the polymer material, providing a new way for polymer thermal insulation research, and avoiding the problem that the thermal conductivity coefficient of the porous medium structure is affected by a variety of factors and is difficult to measure.
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Figure CN119323103A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of polymer thermal conductivity, and in particular to a method for creating a polymer thermal conductivity simulation model and a storage medium. Background Art
[0002] Based on the fast solidification process of polymer grouting materials from liquid phase to solid phase, the formed polymer consolidation body has a porous medium foam structure. In actual applications, polymer grouting materials are usually injected below the surface and in close contact with surrounding materials. Heat conduction is the main way of heat transfer. Therefore, the determination of the thermal conductivity of polymers is the main parameter to measure the actual application of the polymer.
[0003] For example, the inside of a high polymer polyurethane foam is distributed with pores of different pore sizes. The pore structure of the polymer has a great influence on the heat transfer performance. Since there is a gas with poor thermal conductivity in the pores, its thermal conductivity is composed of four parts: the thermal conductivity of the foam matrix, the thermal conductivity of the gas in the pores, the thermal conductivity of radiation heat transfer, and the thermal conductivity of convection heat transfer. In general, the pore size is very small, and the thermal conductivity mainly depends on the first two factors. With the increase of density, the pore wall becomes thicker, the proportion of gas thermal conductivity and radiation gradually decreases, and the proportion of solid phase thermal conductivity gradually increases. Heat transfer includes both the thermal conductivity of the solid skeleton and the gas. In engineering, the thermal conductivity converted by this composite heat transfer is called apparent thermal conductivity. In addition to being affected by material composition, pressure, and temperature, the apparent thermal conductivity is also affected by material density and moisture content. The smaller the density, the more small voids there are in the material, and the smaller the apparent thermal conductivity. However, when the density is small to a certain extent, it means that the internal voids have increased or have been interconnected, causing internal air convection, heat transfer enhancement, and the apparent thermal conductivity has increased. On the other hand, the pores in the insulation material are easy to absorb moisture, and the evaporation and migration of moisture under the action of the temperature gradient greatly increase the apparent thermal conductivity. The traditional method for measuring apparent thermal conductivity is the single guarded hot plate method, which uses a measurement specimen with a size of only 300mm×300mm×(15~50)mm cuboid. In addition, due to the fact that the thermal conductivity of polymers is affected by many factors, it is difficult to accurately measure the apparent thermal conductivity of large-volume cylindrical polymer materials, and thus it is difficult to evaluate the thermal conductivity.
[0004] The existing patent publication number CN117929463A discloses a method and system for testing the thermal conductivity of polymer materials. The method analyzes the thermal conductivity of a polymer material matrix by drawing a curve of the change in the thermal conductivity rate, thereby accurately determining the thermal conductivity of the polymer material matrix when a thermal conductive filler with a corresponding preset ratio is added. The thermal conductivity of the corresponding polymer material matrix is then tested by adding thermal conductive fillers with different preset ratios to analyze the specific ratio of the thermal conductive filler in the polymer material. However, the temperature distribution at any point inside the polymer material cannot be obtained. Summary of the invention
[0005] The main purpose of the present invention is to provide a method for creating a polymer thermal conductivity simulation model and a storage medium, aiming to solve the technical problem that the existing polymer material cannot determine the temperature distribution of any point inside it.
[0006] To achieve the above object, the present invention provides a method for creating a polymer thermal conductivity simulation model, the method comprising the following steps:
[0007] Step 1, obtaining the size parameters of the polymer specimen, and obtaining the characteristic information of each control point corresponding to the polymer specimen according to the size parameters of the polymer specimen, wherein the characteristic information of each control point includes the coordinates of the control point, its weight and the node vector;
[0008] Step 2, obtaining the temperature of each control point in the cylindrical polymer;
[0009] Step 3: Establish a two-dimensional steady-state isogeometric boundary element heat conduction simulation model based on the characteristic information of each control point of the polymer specimen and the temperature of each control point.
[0010] Optionally, step 1 includes:
[0011] Step 11, obtaining a molded polymer specimen according to a polymer mold, the polymer mold comprising an inner cylinder, an outer cylinder and a polymer accommodating cavity between the inner cylinder and the outer cylinder, wherein a heating unit and a first temperature monitoring unit are arranged on the inner wall of the outer cylinder, and a second temperature monitoring unit is arranged on the outer wall of the inner cylinder.
[0012] Step 12: converting the formed polymer specimen into a corresponding isogeometric boundary element result model according to the isogeometric boundary element model, and obtaining characteristic information of each control point corresponding to the polymer specimen.
[0013] Optionally, the step 2 specifically includes:
[0014] Step 21, start the heating unit to heat the outer surface of the polymer specimen until it reaches the set temperature T1, and start timing the heat transfer time t;
[0015] Step 22, using a second temperature monitoring unit to detect in real time the temperature T2 of the inner wall of the polymer test piece in contact with the outer wall of the inner tube, when dT2 / dt is less than 0.2, record T2 and stop timing the heat transfer time t.
[0016] Optionally, the step 3 specifically includes:
[0017] Step 31: According to Fourier heat conduction theory and heat conduction differential equation, the boundary is discretized into NURBS units, and the configuration points defined by Greville coordinates as parameter coordinates are used as source points to construct the isogeometric boundary element system equation. The discrete equation is applied to the source point to obtain equation (1):
[0018]
[0019] Where H and G are coefficient matrices, vectors T and q are the temperature and heat flux at all control points, G R and T R is the coefficient matrix corresponding to the Robin boundary and the temperature of the control point, and the vector b is the integral term caused by the heat source, which is set to zero;
[0020] Step 32, applying boundary conditions and solving equation (1) to obtain the temperature and heat flux values of all control points, and then obtaining the relationship between each coordinate point and the temperature value in the polymer specimen, as described in equation (2):
[0021] Where T is the temperature, x is the coordinate of the point in the domain, Ω is the entire computational domain, Γ is the complete boundary of Ω, kt is the thermal conductivity, P is the source point, q is the heat flux, and Γ is the R Represents the Robin convection boundary.
[0022] Optionally, in step 31, the heat source term is zero, and the control equation of the steady-state heat conduction problem containing the heat source can be expressed as the Poisson equation:
[0023]
[0024] Where T represents temperature, x is the coordinate of the point in the domain, Ω is the entire computational domain, and f (x) For heat sources distributed in the form of points, lines or surfaces, for isotropic media, the boundary conditions are expressed as:
[0025] T(x)=T D (x),x|∈Γ D (4);
[0026]
[0027] Where k t represents the thermal conductivity, n is the normal direction outside the boundary, Γ D , Γ N Corresponding to Dirichlet and Neumann boundaries, respectively, T D and q N For a given temperature and heat flux, Γ R represents the Robin convection boundary, h and T ∞are the convective heat transfer coefficient and the ambient temperature, respectively.
[0028] Optionally, in step 31, the discrete equation is
[0029]
[0030] where i represents the source point index, ξ′∈[-1,1] is the local coordinate used for Gaussian integration, Ne is the number of all elements, e represents the element number, and R e j,k represents the jth NURBS basis function on element e, k is the order, e′ represents the element number where the source point is located, represents its local coordinates, Ne′ is the number of units on the convection boundary, is the corresponding unit number, J is the Jacobian determinant, which represents the transformation relationship from local space to physical space, that is,
[0031]
[0032] Boundary Γ S and Γ are different NURBS curves.
[0033] Optionally, the coefficient matrix in the geometric boundary element system equation in step 31 corresponds to the third and second terms on the right side of equation (7), G R and T R corresponds to the last term on the right side of equation (7), the term on the left side of equation (7) is integrated into the first term of equation (1), and the component of vector q related to the Robin boundary is assumed to be Combining the left side of equation (1) we get:
[0034]
[0035] Where H R It is the submatrix composed of the corresponding columns related to the Robin boundary in the matrix H, and H0 is the submatrix composed of the remaining columns after removing HR from H.
[0036] Optionally, in step 32, boundary conditions are applied and equation (9) is solved.
[0037] Optionally, the polymer test piece has an inner diameter of 100 mm, an outer diameter of 120 mm to 200 mm, and a height of 200 mm.
[0038] In addition, in order to achieve the above-mentioned purpose, the present invention also provides a computer-readable storage medium, which stores a program for creating a polymer thermal conductivity simulation model. When the program for creating a polymer thermal conductivity simulation model is executed by a processor, any of the methods described above is implemented.
[0039] Beneficial effects:
[0040] The present invention is based on the two-dimensional steady-state heat conduction theory, the boundary element method and the NURBS basis function to interpolate and approximate the polymer model, and finally can efficiently and accurately obtain the temperature distribution of any point inside the polymer material, providing a new way for polymer thermal insulation research. In addition, the heat transfer time t and the heat transfer temperature difference ΔT are proposed as evaluation indicators of the thermal conductivity of polymer materials, avoiding the problem that the thermal conductivity coefficient of the porous medium foam structure is difficult to measure due to the influence of various factors and the measurement results of the single protective plate method are difficult to represent the thermal conductivity of large-volume polymer materials. BRIEF DESCRIPTION OF THE DRAWINGS
[0041] Figure 1 It is a schematic diagram of the structural assembly of the polymer mold in the present invention;
[0042] Figure 2 is a three-dimensional schematic diagram of a polymer mold in the present invention;
[0043] Figure 3 The outer diameter measured by the present invention is 16 cm, the inner diameter is 10 cm, and the density is 0.200 g / cm 3 Temperature variation curve of polymer heated at 60℃ by the outer wall;
[0044] Figure 4 The outer diameter measured by the present invention is 16 cm, the inner diameter is 10 cm, and the density is 0.299 g / cm 3 Temperature variation curve of polymer heated at 60℃ by the outer wall;
[0045] Figure 5 The outer diameter measured by the present invention is 16 cm, the inner diameter is 10 cm, and the density is 0.428 g / cm 3 Temperature variation curve of polymer heated at 60℃ by the outer wall;
[0046] Figure 6 The outer diameter measured by the present invention is 16 cm, the inner diameter is 10 cm, and the density is 0.200 g / cm 3 Temperature variation curve of polymer heated at 80℃ by the outer wall;
[0047] Figure 7 This is the steady-state heat conduction temperature distribution cloud diagram with the outer wall temperature at 60°C and the inner wall temperature at 38°C.
[0048] The realization of the purpose, functional features and advantages of the present invention will be further explained in conjunction with embodiments and with reference to the accompanying drawings. DETAILED DESCRIPTION
[0049] It should be understood that the specific embodiments described herein are only used to explain the present invention, and are not used to limit the present invention.
[0050] The present invention provides an embodiment of a method for creating a polymer thermal conductivity simulation model, wherein the method comprises the following steps:
[0051] Step 1, obtain the size parameters of the polymer specimen, and obtain the characteristic information of each control point corresponding to the polymer specimen according to the size parameters of the polymer specimen, the characteristic information of each control point includes the coordinates of the control point, its weight and node vector. Wherein, the polymer specimen is obtained by using a polymer mold, and the polymer mold includes an inner cylinder 1, an outer cylinder 2 and a polymer accommodating cavity 3 between the inner cylinder 1 and the outer cylinder 2, wherein the inner wall of the outer cylinder is provided with a heating unit and a plurality of first temperature monitoring units, and the outer wall of the inner cylinder is provided with a plurality of second temperature monitoring units. Preferably, in order to enhance the stability effect of polymer molding, the inner cylinder 1 is also set to a detachable structure, such as Figure 1 As shown, the inner cylinder cover 11 is clamped on the inner cylinder body, and then the bottom of the inner cylinder 11 and the top of the inner cylinder cover 11 are respectively clamped and connected in the first clamping grooves of the base 5 and the top cover 4, and the upper and lower ends of the outer cylinder 2 are respectively arranged in the second clamping grooves of the top cover 4 and the base 5. Its three-dimensional structure is as shown in FIG. Figure 2 Preferably, the polymer specimen can be made into a specimen with an inner diameter of 100 mm, an outer diameter of 120 mm to 200 mm, any thickness, and a height of 200 mm. The polymer material is used to form an integrated device for evaluating thermal conductivity, and the formed specimen can still be used for other experiments.
[0052] Furthermore, the formed polymer specimen is converted into a corresponding isogeometric boundary element result model according to the isogeometric boundary element model, and characteristic information of each control point corresponding to the polymer specimen is obtained.
[0053] Step 2, obtaining the temperature of each control point in the cylindrical polymer.
[0054] Specifically, the step 2 includes:
[0055] Step 21, start the heating unit to heat the outer surface of the polymer specimen until it is heated to the set temperature T1, and start timing the heat transfer time t, that is, start heating the outer surface of the specimen at rated power to the set temperature T1. When the outer surface of the polymer specimen rises to the set temperature, start timing the heat transfer time t and maintain a constant temperature.
[0056] Step 22, using a second temperature monitoring unit to detect the temperature T2 of the inner wall of the polymer test piece in contact with the outer wall of the inner tube in real time, and when dT2 / dt is less than 0.2, T2 is recorded and the timing of the heat transfer time t is stopped. The heat transfer time t and ΔT=T1-T2 are used as thermal conductivity evaluation indicators of the polymer material.
[0057] In practical applications, for 0.200g / cm 3 , 0.299g / cm3 , 0.428g / cm 3 When a cylindrical polymer with an outer diameter of 16 cm and an inner diameter of 10 cm of three densities is heated to 60°C, its temperature change curve is as follows Figure 3-5 As shown, Figure 3 The density was measured to be 0.200 g / cm 3 The polymer is subjected to the temperature change curve of 60℃ on the outer wall. Figure 4 The measured density is 0.299 g / cm 3 The polymer is subjected to the temperature change curve of 60℃ on the outer wall. Figure 5 The measured density is 0.428 g / cm 3 The polymer is subjected to the temperature change curve of 60℃ on the outer wall. It can be seen that the heat transfer time is about 2700S, but the heat transfer temperature difference is 23.5℃, 24.5℃, and 20℃ respectively. The density is judged to be 0.299g / cm 3 The polymer has the worst thermal conductivity and the best thermal insulation among the three, and its density is 0.428g / cm 3 The polymer has the best thermal conductivity and the weakest thermal insulation among the three. And the density at 80℃ is 0.200g / cm 3 The temperature curve of the polymer under the influence of the outer wall at 80℃ is as follows Figure 6 As shown, Figure 3 and Figure 6 0.200g / cm 3 When the polymer is heated by the outer wall at 60℃ and 80℃, as the temperature increases, the heat transfer time is extended to 2925S and the heat transfer temperature difference increases to 39.5℃.
[0058] Step 3: Establish a two-dimensional steady-state isogeometric boundary element heat conduction simulation model based on the characteristic information of each control point of the polymer specimen and the temperature of each control point.
[0059] Specifically, step 3 includes the following steps:
[0060] Step 31: According to Fourier heat conduction theory and heat conduction differential equation, the boundary is discretized into NURBS units, and the configuration points defined by Greville coordinates as parameter coordinates are used as source points to construct the isogeometric boundary element system equation. The discrete equation is applied to the source point to obtain equation (1):
[0061]
[0062] Where H and G are coefficient matrices, vectors T and q are the temperature and heat flux at all control points, G R and T R is the coefficient matrix corresponding to the Robin boundary and the temperature of the control point, and the vector b is the integral term caused by the heat source and is set to zero;
[0063] Step 32, applying boundary conditions and solving equation (1) to obtain the temperature and heat flux values of all control points, and then obtaining the relationship between each coordinate point and the temperature value in the polymer specimen, as described in equation (2),
[0064]
[0065] Where T is the temperature, x is the coordinate of the point in the domain, Ω is the entire computational domain, Γ is the complete boundary of Ω, kt is the thermal conductivity, P is the source point, q is the heat flux, and Γ is the R Represents the Robin convection boundary.
[0066] Furthermore, in step 31, the internal heat source term is set to zero, and the control equation of the steady-state heat conduction problem containing the heat source can be expressed as the Poisson equation:
[0067]
[0068] Where T represents temperature, x is the coordinate of the point in the domain, Ω is the entire computational domain, and f (x) For heat sources distributed in the form of points, lines or surfaces, for isotropic media, the boundary conditions are expressed as:
[0069] T(x)=T D (x),x|∈Γ D (4);
[0070]
[0071] Where k t represents the thermal conductivity, n is the normal direction outside the boundary, Γ D , Γ N Corresponding to Dirichlet and Neumann boundaries, respectively, T D and q N For a given temperature and heat flux, Γ R represents the Robin convection boundary, h and T ∞ are the convective heat transfer coefficient and the ambient temperature, respectively.
[0072] Furthermore, in step 31, the discrete equation is
[0073]
[0074] where i represents the source point index, ξ∈[-1,1] is the local coordinate used for Gaussian integration, Ne is the number of all elements, e represents the element number, and R e j,k represents the jth NURBS basis function on element e, k is the order, e′ represents the element number where the source point is located, represents its local coordinates, Ne′ is the number of units on the convection boundary, is the corresponding unit number, J is the Jacobian determinant, which represents the transformation relationship from local space to physical space, that is,
[0075]
[0076] Boundary Γ S and Γ are different NURBS curves.
[0077] Furthermore, the coefficient matrix in the geometric boundary element system equation in step 31 corresponds to the third and second terms on the right side of equation (7), G R and T R corresponds to the last term on the right side of equation (7), the term on the left side of equation (7) is integrated into the first term of equation (1), and the component of vector q related to the Robin boundary is assumed to be Combining the left side of equation (1) we get:
[0078]
[0079] Where H R It is the submatrix composed of the corresponding columns related to the Robin boundary in the matrix H, and H0 is the submatrix composed of the remaining columns after removing HR from H.
[0080] Furthermore, in step 32, boundary conditions are applied and equation (9) is solved, and finally the temperature value corresponding to any point in the polymer specimen is obtained, that is, the model corresponding to equation (2) is created. In practical application, a steady-state heat conduction temperature distribution cloud diagram can be obtained when the outer wall temperature is 60°C and the inner wall temperature is 38°C, as shown in FIG. Figure 7 shown.
[0081] Furthermore, the present invention is based on the two-dimensional steady-state heat conduction theory, the boundary element method and the NURBS basis function to interpolate and approximate the polymer model, and ultimately can efficiently and accurately obtain the temperature distribution of any point inside the polymer material, providing a new approach for polymer thermal insulation research.
[0082] In addition, the present invention also provides a computer-readable storage medium, which stores a program for creating a polymer thermal conductivity simulation model. When the program for creating a polymer thermal conductivity simulation model is executed by a processor, any of the methods described above is implemented.
[0083] It should be noted that, in this article, the terms "include", "comprises" or any other variations thereof are intended to cover non-exclusive inclusion, so that a process, method, article or system including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or system. In the absence of further restrictions, an element defined by the sentence "comprises a ..." does not exclude the existence of other identical elements in the process, method, article or system including the element.
[0084] The serial numbers of the above embodiments of the present invention are only for description and do not represent the advantages or disadvantages of the embodiments.
[0085] The above are only preferred embodiments of the present invention, and are not intended to limit the patent scope of the present invention. Any equivalent structure or equivalent process transformation made using the contents of the present invention specification and drawings, or directly or indirectly applied in other related technical fields, are also included in the patent protection scope of the present invention.
Claims
1. A method for creating a polymer thermal conductivity simulation model, characterized in that: The method comprises the following steps: Step 1, obtaining the size parameters of the polymer specimen, and obtaining the characteristic information of each control point corresponding to the polymer specimen according to the size parameters of the polymer specimen, wherein the characteristic information of each control point includes the coordinates of the control point, its weight and the node vector; Step 2, obtaining the temperature of each control point in the cylindrical polymer; Step 3: Establish a two-dimensional steady-state isogeometric boundary element heat conduction simulation model based on the characteristic information of each control point of the polymer specimen and the temperature of each control point.
2. The method for creating a polymer thermal conductivity simulation model according to claim 1, characterized in that: The step 1 comprises: Step 11, obtaining a formed polymer specimen and obtaining size parameters of the polymer specimen according to a polymer mold, wherein the polymer mold comprises an inner cylinder, an outer cylinder and a polymer accommodating cavity between the inner cylinder and the outer cylinder, wherein a heating unit and a first temperature monitoring unit are arranged on the inner wall of the outer cylinder, and a second temperature monitoring unit is arranged on the outer wall of the inner cylinder; Step 12: converting the formed polymer specimen into a corresponding isogeometric boundary element result model according to the isogeometric boundary element model, and obtaining characteristic information of each control point corresponding to the polymer specimen.
3. The method for creating a polymer thermal conductivity simulation model according to claim 2, characterized in that: The step 2 specifically includes: Step 21, start the heating unit to heat the outer surface of the polymer specimen until it reaches the set temperature T1, and start timing the heat transfer time t; Step 22, using a second temperature monitoring unit to detect in real time the temperature T2 of the inner wall of the polymer test piece in contact with the outer wall of the inner tube, when dT2 / dt is less than 0.2, record T2 and stop timing the heat transfer time t.
4. The method for creating a polymer thermal conductivity simulation model according to claim 2, characterized in that: The step 3 specifically includes: Step 31: According to Fourier heat conduction theory and heat conduction differential equation, the boundary is discretized into NURBS units, and the configuration points defined by Greville coordinates as parameter coordinates are used as source points to construct the isogeometric boundary element system equation. The discrete equation is applied to the source point to obtain equation (1): Where H and G are coefficient matrices, vectors T and q are the temperature and heat flux at all control points, G R and T R is the coefficient matrix corresponding to the Robin boundary and the temperature of the control point. The vector b is the integral term caused by the heat source and is set to zero. Step 32, applying boundary conditions and solving equation (1) to obtain the temperature and heat flux values of all control points, and then obtaining the relationship between each coordinate point and the temperature value in the polymer specimen, as described in equation (2): Where T is the temperature, x is the coordinate of the point in the domain, Ω is the entire computational domain, Γ is the complete boundary of Ω, kt is the thermal conductivity, P is the source point, q is the heat flux, and Γ is the R Represents the Robin convection boundary.
5. The method for creating a polymer thermal conductivity simulation model according to claim 4, characterized in that: In step 31, the heat source term is zero, and the control equation of the steady-state heat conduction problem containing the heat source can be expressed as the Poisson equation: Where T represents temperature, x is the coordinate of the point in the domain, Ω is the entire computational domain, and f (x) For heat sources distributed in the form of points, lines or surfaces, for isotropic media, the boundary conditions are expressed as: T(x)=T D (x),x|∈Γ D (4); Where k t represents the thermal conductivity, n is the normal direction outside the boundary, Γ D , Γ N Corresponding to Dirichlet and Neumann boundaries, respectively, T D and q N For a given temperature and heat flux, Γ R represents the Robin convection boundary, h and T ∞ are the convective heat transfer coefficient and the ambient temperature, respectively.
6. The method for creating a polymer thermal conductivity simulation model according to claim 5, characterized in that: In step 31, the discrete equation is: where i represents the source point index, ξ∈[-1,1] is the local coordinate used for Gaussian integration, Ne is the number of all elements, e represents the element number, and R e j,k represents the jth NURBS basis function on element e, k is the order, e′ represents the element number where the source point is located, represents its local coordinates, Ne′ is the number of units on the convection boundary, is the corresponding unit number, J is the Jacobian determinant, which represents the transformation relationship from local space to physical space, that is, Boundary Γ S and Γ are different NURBS curves.
7. The method for creating a polymer thermal conductivity simulation model according to claim 6, characterized in that: The coefficient matrix in the geometric boundary element system equation in step 31 corresponds to the third and second terms on the right side of equation (7), G R and T R corresponds to the last term on the right side of equation (7), the term on the left side of equation (7) is integrated into the first term of equation (1), and the component of vector q related to the Robin boundary is assumed to be Combining the left side of equation (1) we get: Where H R It is the submatrix composed of the corresponding columns related to the Robin boundary in the matrix H, and H0 is the submatrix composed of the remaining columns after removing HR from H.
8. The method for creating a polymer thermal conductivity simulation model according to claim 7, characterized in that: In step 32, boundary conditions are imposed and equation (9) is solved.
9. The method for creating a polymer thermal conductivity simulation model according to any one of claims 2 to 8, characterized in that: The inner diameter of the polymer specimen is 100 mm, the outer diameter is 120 mm to 200 mm, and the height is 200 mm.
10. A computer-readable storage medium, wherein the computer-readable storage medium stores a program for creating a polymer thermal conductivity simulation model, wherein the program for creating a polymer thermal conductivity simulation model implements the method according to any one of claims 1 to 9 when executed by a processor.
Citation Information
Patent Citations
Method and system for testing heat-conducting property of high polymer material
CN117929463A