Open AccessAnalytical Solutions of Heat Conduction Problems for Anisotropic Solid Body
Author(s) -
István Ecsedi,
Ákos József Lengyel
Publication year - 2021
Publication title -
wseas transactions on heat and mass transfer
Language(s) - English
Resource type - Journals
eISSN - 2224-3461
pISSN - 1790-5044
DOI - 10.37394/232012.2021.16.15
Subject(s) - thermal conduction , isotropy , anisotropy , coordinate system , relativistic heat conduction , heat equation , mechanics , fourier transform , mathematical analysis , materials science , heat transfer , thermodynamics , physics , mathematics , geometry , heat flux , optics
Exact analytical solutions of heat conduction problems in anisotropic twodimensional solid bodies are presented in this study. Timedependent and steadystate problems are considered. A linear coordinate transformation is introduced which reduces the anisotropic heat conduction problem to an equivalent isotropic one. The solution of the anisotropic heat conduction problem is expressed in terms of solutions of the corresponding isotropic heat conduction problem. The connection of data of the applied linear coordinate transformation and the thermal material properties of anisotropic solid body is analysed. All result of the paper is based on the Fourier’s theory of heat conduction in solid bodies. Examples illustrate the applications of the developed method