Unsteady laminar compressible boundary layers with vectored mass transfer and an applied magnetic field

Abstract

This paper deals with the laminar unsteady compressible boundary layer flow of an electrically conducting viscous fluid at the stagnation point of an axi-symmetric blunt-nosed body with vectored mass transfer, non-zero dissipation parameter m(=u²_s/2H_c) and an applied magnetic field. The semi-similar solutions have been obtained numerically using an implicit finite difference scheme in combination with the quasi-linearization technique. The results have been obtained for (i) an accelerating/decelerating stream and (ii) a fluctuating stream. The skin-friction responds to the fluctuation in the free-stream more compared to the heat transfer. In presence of the magnetic field velocity overshoot occurs which gives rise to the point of inflexion in velocity profile and for small wall values of the total enthalpy, the point of inflexion arises in velocity and total enthalpy profiles which may cause instability in the flows but this can be avoided in certain circumstances. Skin friction can be reduced by applying vectored mass transfer more compared to the mass transfer applied normal to the surface. The results also show that the skin friction coefficient increases but Nusselt number decreases as the magnetic parameter M increases.