Complex variables for two dimensional steady-state heat transfer problem


Balkan F. , Ilyinsky A.

CHEMICAL AND BIOCHEMICAL ENGINEERING QUARTERLY, cilt.11, ss.177-181, 1997 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 11 Konu: 4
  • Basım Tarihi: 1997
  • Dergi Adı: CHEMICAL AND BIOCHEMICAL ENGINEERING QUARTERLY
  • Sayfa Sayıları: ss.177-181

Özet

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.