Micropolar fluid flow and heat transfer about a spinning cone with Hall current and Ohmic heating

摘要

In this paper, the laminar boundary layer flow of an electrically conducting micropolar fluid about a spinning cone with Hall current, Ohmic heating, and power-law variation in surface temperature is studied analytically. The governing equations are transformed into a dimensionless system of four nonlinear coupled partial differential equations. These equations have been solved analytically subject to the relevant boundary conditions by employing homotopy analysis method. The convergence of the obtained series solutions is carefully checked. Graphical results are presented to investigate the influence of the magnetic parameter, the Hall parameter, and the Eckert number on the axial velocity, the tangential velocity, the microrotation, and the temperature. For near the cone surface, the magnitude of microrotation velocity increases for free convection regime and decreases for forced convection regime as magnetic parameter increases, but the behavior is completely reversed as one moves away from the cone surface. Besides, in the immediate vicinity of the cone, the effect of increasing the Hall parameter is to increase very slightly the magnitude of microrotation velocity for free convection regime, while the magnitude of microrotation velocity decreases for forced convection regime as the Hall parameter increases, but the converse is apparent as one moves toward the edge of the boundary layer.