Couette Flow Problem for an Unsteady MHD Fourth-Grade Fluid with Hall Currents

Abstract

In this work, we analyze Couette flow problem for an unsteady magnetohydrodynamic (MHD) fourth-grade fluid in presence of pressure gradient and Hall currents. The existing literature on the topic shows that the effect of Hall current on Couette flow of an unsteady MHD fourth-grade fluid with pressure gradient has not been investigated so far. The arising non-linear problem is solved by the homotopy analysis method (HAM) and the convergence of the obtained complex series solution is carefully analyzed. The influence of pressure number, Hartmann number, Hall parameter and fourth-grade material parameters on the unsteady velocity is discussed through plots and on local skin-friction coefficient discussed through numerical values presented in tabular form.

Couette Flow of a Gas by Elzaki Transform

“…The Taylor Couette flow using DNS/SUV method was studied by Tuliszka-Szhilko et al [1]. Haider Zaman et al [2] discussed the Couette flow problem for an unsteady MHD fourth -grade fluid with Hall currents. Couette flow of a binary mixture of rigid sphere gases described by the linearized Boltzman equation was discussed by Gracia et al [3].…”