COUETTE FLOW PROBLEM FOR AN UNSTEADY MHD THIRD-GRADE FLUID WITH HALL CURRENTS

In this work, we analyze Couette flow problem for an unsteady mangnetohydrodynamic (MHD) third-grade fluid in the presence of a pressure gradient and Hall currents. Existing literature on the topic shows that the effecs of Hall current on Couette flow of an unsteady MHD third-grade fluid with a pressure gradient has not yet been investigated. 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 effects of pressure number, Hartmann number and Hall parameter on unsteady velocity are discussed via analysis of plots.