Magnetohydrodynamic flow and heat transfer of a non-Newtonian fluid in an eccentric annulus

The steady laminar flow and heat transfer of an incompressible, electrically conducting, non-Newtonian fluid in an eccentric annulus are studied in the presence of an external uniform magnetic field. The inner cylinder is subject to a constant heat flux while the outer cylinder is adiabatic and the viscous and Joule dissipations are taken into consideration. A numerical solution for the governing partial differential equations is developed and the influence of the magnetic field on both the velocity and temperature distributions are discussed.