Complex variables for two dimensional steady-state heat transfer problem


Balkan F. , Ilyinsky A.

CHEMICAL AND BIOCHEMICAL ENGINEERING QUARTERLY, vol.11, no.4, pp.177-181, 1997 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 4
  • Publication Date: 1997
  • Title of Journal : CHEMICAL AND BIOCHEMICAL ENGINEERING QUARTERLY
  • Page Numbers: pp.177-181

Abstract

The use of the complex variables in the two dimensional steady-state heat transfer problem was illustrated for a particular case. The steady-state temperatures were determined for a plane of width a and of infinite length by using a complex function omega = sin pi z/a for conformal mapping from z-plane onto omega-plane. The temperature at any point was regarded as the effect of the temperatures at the boundaries by introducing Poisson integral for the upper-half plane. It was concluded that this technique had considerable advantages compared to the classical technique using the method of separating of variables and providing infinite series solution.