Article contents
Heat Transfer in a Medium in Which Many Small Particles Are Embedded
Published online by Cambridge University Press: 28 January 2013
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
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 1: Harmonic analysis , 2013 , pp. 193 - 199
- Copyright
- © EDP Sciences, 2013
References
Références
- 3
- Cited by