Accession Number : AD0681780

Title :   APPROXIMATE SOLUTION OF NONSTATIONARY PROBLEMS OF HEAT-CONDUCTION THEORY WITH ALLOWANCE FOR THE EFFECT OF THE TEMPERATURE DEPENDENCE OF THE THERMOPHYSICAL PROPERTIES ON THE BASIS OF B. G. GALERKIN'S METHOD,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Kaganer,M. G.

Report Date : 21 AUG 1968

Pagination or Media Count : 11

Abstract : A method is proposed for the approximate solution of a quasilinear heat-conduction equation. It is based on approximation of the temperature field by a system of functions obtained by exact solution of the same boundary problem in the case of constant thermophysical properties. The undetermined coefficients of this system are sought by Galerkin's method. The solutions of two boundary problems for an infinite plate are presented as examples of application of the proposed method. The approximate solution obtained is compared with the results of numerical calculation on an electronic computer. (Author)

Descriptors :   (*CONDUCTION(HEAT TRANSFER), BOUNDARY VALUE PROBLEMS), APPROXIMATION(MATHEMATICS), THERMAL CONDUCTIVITY, TEMPERATURE, USSR

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE