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Analysis of the temperature distribution, heat flow and effective thermal conductivity of homogeneous composite materials with anisotropic thermal conductivity

B W James and P Harrison

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The finite difference method is extended, through the use of the electrical analogue, to enable calculation of temperature distribution and heat flow in composite materials made from anisotropic materials. The standard finite difference equations have been modified on a node-by-node basis to take account of anisotropy by local re-orientation of the grid. The temperature distribution and heat flow have been derived for a composite material made from two materials with anisotropic thermal conductivity. The effective thermal conductivity has been calculated for a range of different orientations of anisotropic material in samples of different rectangular shapes to illustrate the effects of sample geometry on heat transfer.


PACS

44.10.+i Heat conduction

02.70.Bf Finite-difference methods

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 9 (14 September 1992)



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