Hall-current effects on MHD flow of a power-law fluid over a rotating disk

The steady laminar flow of a power-law fluid in the presence of an axial uniform magnetic field is studied in the vicinity of a constantly rotating infinite disk. The Hall current effect is taken into consideration. The incompressible fluid driven by the rotating disk obeys the inelastic Ostwald-de Waele power-law model. The transformed governing equations in the present study were solved numerically by using the Runge-Kutta and Shooting method. Some of the results obtained for a special case of the problem are compared to the results published in a previous work and are found to be in excellent agreement. The effects of the magnetic field M, the Hall current m, and the power-law index n on the velocity profiles, the radial, the tangential skin frictions, and the axial inflow are presented graphically. One valuable important observation is that the effect of the power-law index n is to reduce the effect of both the magnetic field and the Hall current in the boundary-layer's flow field.