Short Communication
Mathematical Modelling

General scheme of solution for a boundary value problem of non-steady thermal conductivity with inner thermal sources for multi-layer constructions

B. V. Averin

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

Abstract: General closed analytical solution for non-stationary thermal conductivity is obtained for non-steady thermal conductivity in multi-layer walls of a plane, cylindrical and spherical form with inner thermal sources.

Keywords: analytical solutions, generalized functions, fundamental functions, multi-layer constructions, inner thermal sources.

UDC: 517.958+536.2+539.219.3

MSC: Primary 80A20; Secondary 35A09

Original article submitted 07/IV/2009
revision submitted – 21/VIII/2009

DOI: 10.14498/vsgtu689

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