The European Physical Journal Applied Physics

Rapid Communication

Heating and partial cooling problems in unsteady forced convection

G. Polidoria1, J. Padeta1, G. Polidoria1 and J. Padeta1

Laboratoire de Thermomécanique, UTAP, Faculté des Sciences, 51687 Reims Cedex 2, France

Abstract

The study of thermoconvective problems in a laminar external boundary layer flow is theoretically presented for both partial heating and cooling situations after that the fluid/wall system has already reached a first steady heating state. The 4th order Karman-Pohlhausen integral approach is used under the hypothesis that the thermal boundary layer thickness is assumed to be steady during the transient phase. The final mathematical equation for both cooling and heating problems is proposed and exemples of space and time corresponding thermograms are given.

(Received May 26 1998)

(Accepted October 13 1998)

(Online publication December 15 1998)

PACS:

  • 44.25.+f – Convective and constrained heat transfer