New Thermal-Conductivity Constitutive Matrix in Fourier's Law for Heat Transfer Using the Cell Method

被引：2

作者：

Ignacio Gonzalez-Dominguez, Pablo ^{[1
,2
]}

Miguel Monzon-Verona, Jose ^{[1
,2
]}

Garcia-Alonso, Santiago ^{[3
]}

机构：

[1] Univ Las Palmas Gran Canaria, Elect Engn Dept, Las Palmas Gran Canaria 35017, Spain

[2] Univ Las Palmas Gran Canaria, Inst Appl Microelect IUMA, Las Palmas Gran Canaria 35017, Spain

[3] Univ Las Palmas Gran Canaria, Dept Elect Engn & Automat DIEA, Las Palmas Gran Canaria 35017, Spain

来源：

APPLIED SCIENCES-BASEL | 2019年 / 9卷 / 21期

关键词：

analytical method; computational technique; cell method; FEM; heat conduction; thermal constitutive matrix; FORMULATION; EQUATIONS;

D O I：

10.3390/app9214521

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, a new constitutive matrix [M-tau] for thermal conduction, for tetrahedral meshes, in a steady state thermal regime is developed through a new algebraic methodology, using the Cell Method as a computational method, which is included in the finite formulation. The constitutive matrix defines the behavior of solids when they are under a thermal potential. The results are compared with those obtained for the same problem by means of the constitutive matrix [M-lambda] developed previously, taking in both cases with a 2D axisymmetric model as reference, calculated with the finite element method. The errors obtained with the new matrix [M-tau] are of the order of 0.0025%, much lower than those obtained with the matrix [M-lambda].

引用

页数：19

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