Similarity analysis in magnetohydrodynamics: effects of hall and ion-slip currents on free convection flow and mass transfer of a gas past a semi-infinite vertical plate

Abstract

The effects of Hall and ion-slip currents on a steady free convection flow and mass transfer past a semi-infinite vertical plate in a viscous incompressible electrically conducting fluid are investigated when the fluid is subjected to a strong non-uniform magnetic field. The similarity solutions are obtained using a scaling group of transformations. These are the only symmetry transformations admitted by the field equations. The derived fundamental equations under the assumption of a small magnetic Reynolds number are solved numerically by employing the shooting method. The axial and transverse components of the velocity function profiles are computed for various values of magnetic parameters, Hall and ionslip current parameters.