Chebyshev finite-difference method for the effects of Hall and ion-slip currents on magneto-hydrodynamic flow with variable thermal conductivity

Abstract

In this paper, the problem of heat transfer to the magneto-hydrodynamic flow of a micropolar, viscous, incompressible, and electrically conducting fluid from an isothermal stretching sheet with suction and blowing through a porous medium under the effects of Hall and ion-slip currents and variable thermal conductivity is studied numerically by using the Chebyshev finite-difference method. The governing fundamental equations on the assumption of a small magnetic Reynolds number are approximated by a system of nonlinear ordinary differential equations. Details of the velocities and temperature fields are presented for the various values of the parameters of the problem, e.g., the magnetic, Hall, ion-slip, porous, thermal conductivity, and surface mass transfer parameters. The numerical results indicate that the velocity and the angular velocity increase as the permeability parameter increases. Also, the temperature decreases as the permeability parameter increases but it increases as the thermal conductivity parameter increases. PACS No.:45.65.+a