Magnetic field effects on mixed convection between rotating coaxial disks

Abstract

This paper deals with a similarity analysis of axisymmetric mixed convection between two horizontal infinite rotating coaxial disks in the presence of a 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 is represented graphically. For Reynolds number, Re, up to 500 and buoyancy parameter, B=βΔT, 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 decreases 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.