HALL CURRENT AND OHMIC HEATING EFFECTS ON MIXED CONVECTION BOUNDARY LAYER FLOW OF A MICROPOLAR FLUID FROM A ROTATING CONE WITH POWER-LAW VARIATION IN SURFACE TEMPERATURE

Abstract

The problem of laminar mixed convection boundary layer flow of an electrically conducting micropolar fluid from a constantly rotating cone is analyzed, taking into account the effects of Hall current and Ohmic heating. The flow is subjected to a uniform strong transverse magnetic field normal to the cone surface. In this study, the surface temperature is assumed to vary as a power of the axial coordinate measured along the cone surface. A non-similar mixed convection parameter and a pseudo-similarity variable η are introduced to cast the governing boundary layer equations into a system of dimensionless equations, which are solved numerically. The mixed convection parameter is chosen to cover the entire regime of mixed convection from the pure forced limit to the pure free convection limit. Results for the velocity, angular velocity and thermal functions are displayed for a range of values of magnetic parameter, Hall parameter and Eckert number