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ISSN Online: 2377-424X

ISBN Print: 0-89116-130-9

International Heat Transfer Conference 6
August, 7-11, 1978, Toronto, Canada

TRANSIENT PROBLEM OF HEAT CONDUCTIVITY FOR A GENERALIZED MODEL OF THE INHOMOGENEOUS SYSTEM

Get access (open in a dialog) DOI: 10.1615/IHTC6.420
pages 291-296

摘要

The nonlinear unsteady conductivity problem is formulated for the generalized two-dimensional two-layer region. The condition of lacing of heterogenous layers is used, which permits providing both the thermal contact resistance and the existance of surface heat sources.
An analitical method of construction of the solution in a closed form is suggested and mathematically substantiated. The Laplacian transformation is used and the problem of representations is reduced to infinite set of linear equations by means of re - expansion of the series represented by a certain system of eigenfunctions into a series composed of another system of eigenfunctions. For the construction of the original the Kramers formula are used. The suggested method is specifically convenient for getting asymptotic solutions and particularily for the case with straightening of curves in (log θ,t) -coordinates, where (θ-T) = -lim T at t→∞.