Combined effects of Hall and ion-slip current on MHD free convection flow in a vertical micro-channel

Abstract

Theoretic analysis on buoyancy-driven flow of conducting fluid in a vertical micro-channel taking into consideration the effect of Hall and ion-slip current is investigated. The micro-channel walls are assumed to be heated asymmetrically and flow is induced by buoyancy forces. The governing couple equations are solved exactly using the method of undetermined coefficient. Solutions are presented in dimensionless form. Effect of rarefaction parameter, Hartmann number, Hall current parameter and ion-slip parameter on fluid velocity, volume flow rate and skin friction along primary along primary and secondary flow directions are discussed.