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A Simple, Versatile Conduction Shape Factor for Heterogenous Materials

delete2026-03-12
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PRE
AI
J
Jianfeng Wang
C
Carson, James K. *
DOI:10.1007/s10765-026-03738-2delete
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Abstract

Abstract

En 中文
Heat flow in heterogeneous materials is of interest to engineers and scientists in a range of applications. In this paper a simplified conduction shape factor which may be used for a range of particle geometries is proposed. The shape factor may be employed using a modification of Maxwell's effective conductivity model. Numerical simulations were performed for ellipses and ellipsoids that demonstrated that the shape factor is effective for both individual and multiple ellipses or ellipsoids up to volume fractions of 0.32, with differences between the simulated and predicted effective thermal conductivities being of the order of 1 %.
Keywords:
Elliptical geometry
Heat conduction
Heterogeneous media
Shape factor

Journal

International Journal of Thermophysics cover
International Journal of Thermophysics
IF:
2.9
Papers:
152
Citations:
6.7K

Organization

U
university of waikato
Scholars:
516
Papers: 317
Citations: 0