Mixed convection flow of couple stress fluid between parallel vertical plates with Hall and Ion-slip effects

An analysis is presented to investigate the Hall and Ion-slip effects on fully developed electrically conducting couple stress fluid flow between vertical parallel plates in the presence of a temperature dependent heat source. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved using homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, Ion-slip parameter and couple stress fluid parameter on velocity and temperature are discussed and shown graphically.

► Hall and Ion-slip effects on couple stress fluid flow in a channel are analyzed using HAM. ► The presence of couple stresses in the fluid decreases the velocity and temperature. ► Effect of magnetic field is to decrease the flow and temperature but increases cross flow. ► Flow increases but cross flow decreases with increasing Hall and Ion-slip parameters. ► Temperature increases with increasing Hall and Ion-slip parameters.