TITLE:
Couette Flow Problem for an Unsteady MHD Fourth-Grade Fluid with Hall Currents
AUTHORS:
Haider Zaman, Tarique Abbas, Arif Sohail, Azhar Ali
KEYWORDS:
Couette Flow; Hall Currents; Unsteady; Fourth-Grade Fluid; HAM
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.4,
March
5,
2014
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.