Approximation solutions to viscous stability of unsteady MHD viscous flow through a porous vertical channel induced by hall-effect with dissipation function

Abstract

The effect of magnetic field and dissipation function parameter as a radiation in electrodynamic froth (two phase) flow process was analyzed.  Expressions for magnetic flux and temperature with dissipation function were obtained based on a conductive two phase flow. The couple non-linear differential equations governing the flow were solved using the method of successive approximation techniques. It was found that at a constant time t, the influence of magnetic field was very sharp along the channel due to dissipation function and radiation parameters. The velocity of fluid flow was very rapid and increased at a faster rate as a result of dissipation function parameters.

Keywords: Unsteady hydromagnetic fluid flow dissipation function. Transverse magnetic field. Hall-effect. Porous vertical channel radiation. Optically thick limit.