TY - JOUR

T1 - Analytical and numerical approaches for heat conduction in composite materials

AU - Chang, K. C.

AU - Payne, U. J.

N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1990

Y1 - 1990

N2 - A rectangular composite slab constituted by two different materials with linearly temperature-dependent thermal conductivity is selected as a test example. The analytical solution can be obtained by introducing the Kirchhoff transformation. Using the exact solution as a comparison base, it is found that the evaluation of the thermal conductivity at the control-volume surface using the harmonic mean operation is generally better than that using the arithmetic mean operation. However, if we intend to obtain the information right at some specific interfaces of abrupt change of thermal conductivity, the recommended grid layout is arranged so that each specific interface is placed with a grid node and more accurate predictions, particularly at these interesting interfaces, can be obtained.

AB - A rectangular composite slab constituted by two different materials with linearly temperature-dependent thermal conductivity is selected as a test example. The analytical solution can be obtained by introducing the Kirchhoff transformation. Using the exact solution as a comparison base, it is found that the evaluation of the thermal conductivity at the control-volume surface using the harmonic mean operation is generally better than that using the arithmetic mean operation. However, if we intend to obtain the information right at some specific interfaces of abrupt change of thermal conductivity, the recommended grid layout is arranged so that each specific interface is placed with a grid node and more accurate predictions, particularly at these interesting interfaces, can be obtained.

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U2 - 10.1016/0895-7177(90)90311-A

DO - 10.1016/0895-7177(90)90311-A

M3 - Article

AN - SCOPUS:44949267673

VL - 14

SP - 899

EP - 904

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

IS - C

ER -