Abstract
The transient Hartmann flow of an electrically conducting viscous incompressible
non-Newtonian power-law fluid between two parallel horizontal non-conducting
porous plates is studied with heat transfer, without neglecting the Hall
effect. A sudden uniform and constant pressure gradient, an external uniform magnetic
field that is perpendicular to the plates, and uniform suction and injection
through the surface of the plates are applied. The two plates are kept at different
but constant temperatures, while the Joule and viscous dissipations are taken into
consideration. Numerical solutions for the governing nonlinear momentum and energy
equations are obtained using finite difference approximations. The effect of
the Hall term, the parameter describing the non-Newtonian behavior, and the velocity
of suction and injection on both the velocity and temperature distributions
as well as the dissipation terms are examined.