Hall effect on steady mhd flow and heat transfer of a viscous fluid in a rectangular channel with suction and injection

¹ Department of Mathematics, National Institute of Technology, Warangal,Telangana – 506004, India
² Department of Mathematics, University College of Engineering, Osmania University, Hyderabad, Telangana – 506004, India

^* Corresponding author: jvr@nitw.ac.in

Abstract

The flow of an incompressible viscous fluid under the influence of an applied uniform magnetic field in a rectangular channel with suction at the adjacent two side walls is studied by considering Hall current and Joule heating effects. The rectangular channel is subjected to a uniform suction from top wall and injection from right wall. An external uniform magnetic field is applied perpendicular tothe flow. Two sides (left and bottom) of the channel are kept at two constant but different temperature and other two sides (right and top) are maintained at constant heat flux. Viscous and Joule dissipations are considered in the energy equation. The relevant equations of motion are solved numericallyto yield the velocity and the temperature distribution. The current density is also studied