ANALYTICAL SOLUTIONS OF TRANSIENT HEAT-CONDUCTION IN SEMIINFINITE SOLID WITH TIME-VARYING BOUNDARY-CONDITIONS BY MEANS OF SIMILARITY TRANSFORMATION


SAHIN A. Z.

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, vol.22, no.1, pp.89-97, 1995 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 1
  • Publication Date: 1995
  • Doi Number: 10.1016/0735-1933(94)00055-p
  • Title of Journal : INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
  • Page Numbers: pp.89-97

Abstract

An anlytical solution to the transient one dimensional linear heat conduction with time varying boundary conditions is obtained by means of similarity transformation via one-parameter groups. Two types of time varying boundary conditions are considered. These are; time varying surface temperature and time varying surface heat flux boundary conditions. In the analysis, thermal conductivity and thermal diffusivity, are assumed to be constant. The solution is generalized for a general polynomial type of time varying boundary conditions.