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

Haider Zaman, Tarique Abbas, Arif Sohail, Azhar Ali

Faculty of Numerical Sciences, Islamia College University, Peshawar, Pakistan.

DOI: 10.4236/jamp.2014.24001                

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.

Keywords

Couette Flow; Hall Currents; Unsteady; Fourth-Grade Fluid; HAM

Conflicts of Interest

The authors declare no conflicts of interest.

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