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Heat Transfer in a Medium in Which Many Small Particles Are Embedded

Published online by Cambridge University Press:  28 January 2013

A. G. Ramm
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Abstract

The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type boundary condition is imposed. An equation for the limiting field is derived when the characteristic size a of the small bodies tends to zero, their total number \hbox{$\mathcal{N}(a)$}𝒩(a) tends to infinity at a suitable rate, and the distance d = d(a) between neighboring small bodies tends to zero a <  < d. No periodicity is assumed about the distribution of the small bodies.

Keywords

heat transfermany-body problem
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 1: Harmonic analysis , 2013 , pp. 193 - 199
Copyright
© EDP Sciences, 2013

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