UDC 532.135

M. F. Dimian  and A. H. Essawy

MAGNETIC FIELD EFFECTS ON MIXED CONVECTION BETWEEN ROTATING COAXIAL DISKS
This paper deals with a similarity analysis of axisymmetric mixed convection between two horizontal infinite rotating coaxial disks in presence of magnetic field. The governing Navier-Stokes equations and energy equation reduce to a set of nonlinear ordinary differential equations using similarity. The resulting set of ordinary differential equations has been solved numerically using a shooting method and represented graphically. For Reynolds number, Re, up to 500 and buoyancy parameter, B = T, of the range |B| 0.05, the flow and heat transfer characteristics with Prandtl numbers 7, 0.7, 0.1, and 0.01 and magnetic field parameters of m = 0.5, 1, and 2 are examined. The heat transfer increases with the Prandtl number but reduces with the magnetic parameter. It is established that the rotation of the two disks has a very small effect on the temperature of the fluid and the heat transfer process. Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt; Department of Mathematics, Faculty of Science, El-minia University, El-minia, Egypt IFZH74920200015 IFZH7492015