NUMERICAL STUDY OF MIXED CONVECTION AROUND A SPHERE ROTATING ABOUT ITS VERTICAL AXIS IN A NEWTONIAN FLUID AT REST AND SUBJECT TO A HEAT FLUX

Abstract

We study numerically the steady state laminar mixed convection around a sphere heated by a nonuniform flux in a Newtonian fluid. The sphere rotates around its vertical axis. The governing transfer equations in this three-dimensional problem are solved by using the method of Cebeci-Keller. Three types of convection are considered: pure rotation, pure natural convection, and mixed convection. The profiles of the coefficients of heat transfer and local friction, as well as the profiles of temperature, will be determined for various distributions of a heat flux. In the case of a two-dimensional problem, our results agree with those in the literature.

Notes

Address correspondence to Dr. Michel Daguenet, Laboratoire de Thermodynamique et Energé-tique, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan Cedex, France.

Additional information

Notes on contributors

Ch. Philippe

Present address of N. Hatem and Ch. Philippe is Laboratoire de Physique et Mécanique des Fluides, Université de Poitiers, 40 Avenue du Recteur Pineau, 86022 Poitiers Cedex, France.