MHD free convection heat and mass transfer flow through a porous medium in a rotating system with hall current and heat generation

摘要

The present work is the focused on steady Magneto hydrodynamics (MHD) free convection boundary layer flow of an incompressible electrically conducting fluid through a porous medium over a semi-infinite vertical plate in a rotating system with heat generation and the effects of Hall current are taken into account. The governing boundary layer equations are transformed into a set of non-linear ordinary differential equations for primary velocity, secondary velocity, temperature and concentration equations which are then solved numerically by the shooting method along with Runge-Kutta fourth-fifth order integration scheme. The effect of entering parameters on the primary velocity, secondary velocity, the temperature and concentration profiles are presented graphically. Therefore, the results of primary velocity field and secondary velocity field increases for increasing values of Hall parameter and permeability parameter but other parameters decrease the velocities of the fluid flow. The temperature field decreases in the presence of magnetic parameter, heat generation parameter, Prandtl number, Soret & Dufour numbers and Grashof number and negligible decreasing effect for rotational parameter. Also, concentration profile decreases for increasing the values of heat generation parameter, magnetic parameter, Prandtl number and Schmidt number but concentration increases for the effect of Grashof number, Soret number & Hall parameter. The numerical results for the rate of heat transfer are compared with other authors when the magnetic field, Grashof number, rotational parameter, heat generation parameter and Dufour number are absent and found almost similar result.