This article is cited in 2 papers

Mathematical Modeling

On thermal stability of multi layer plane walls when heating by temperature-dependent internal heat sources

B. V. Averin

Dept. of General Theoretical Disciplines, Syzran' Branch of Samara State Technical University, Syzran', Samara region

Abstract: Sequence of obtaining of analytical solution for a stationary non-linear problem of thermal conductivity for a multi layer plane wall with temperature-dependent internal heat source is presented. Curves are plotted that allow to separated the region of stationary temperature distribution from region of unrestricted growth of temperature (thermal explosion region) are plotting.

Keywords: analytical solution, non-linear problem, multi layer design, internal heat source, thermal explosion.

UDC: 517.958+536.2+539.219.3

MSC: 80A20, 35A09

Original article submitted 08/VII/2009
revision submitted – 21/X/2009

DOI: 10.14498/vsgtu701

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