Analytical solution for heat conduction in anisotropic media in infinite, semi-infinite, and two-plane-bounded regions
Abstract
The method of integral transforms is used to determine Green's functions for the analytical solution of first-class problems of heat conduction in free space, half space, and a slab for an anisotropic medium homogeneous in rectangular coordinates and characterized by constant thermophysical properties. Both steady and unsteady states with boundary conditions of Dirichlet, Neumann and mixed types are considered. An example is treated to facilitate the discussion of anisotropic effects.
- Publication:
-
International Journal of Heat and Mass Transfer
- Pub Date:
- October 1977
- Bibcode:
- 1977IJHMT..20.1019C
- Keywords:
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- Anisotropic Media;
- Conductive Heat Transfer;
- Green'S Functions;
- Half Spaces;
- Laminates;
- Numerical Analysis;
- Boundary Conditions;
- Boundary Value Problems;
- Coordinate Transformations;
- Dirichlet Problem;
- Eigenvalues;
- Fourier Transformation;
- Free Convection;
- Neumann Problem;
- Temperature Distribution;
- Fluid Mechanics and Heat Transfer