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,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 21, 1968
- Accession Number
- AD0681780
Entities
People
- M. G. Kaganer
Organizations
- Johns Hopkins University Applied Physics Laboratory