keywords: Poiseuille flow, MHD, viscous dissipation, Joule dissipation, Nusselt numbers
This study investigates analytically the effects of pressure forces, radial magnetic field, viscous and Joule dissipations on the Nusselt number for a steady, fully developed MHD pressure driven flow through an asymmetrically heated annulus of two infinitely concentric cylinders. The surfaces of both cylinders are kept at unequal temperatures. The governing momentum and energy equations are transformed by defining relevant dimensionless variables and solved analytically using the method of undetermined coefficient. The effects of various controlling parameters on the flow are graphically presented. Significant result from the present work is that, increase in Hartmann number has a marked effect on the temperature distribution for cases of Brinkman number (Br≠0) which is a case of heat generation due to viscous and Joule dissipation, while in the absence of dissipation, the Hartmann number has an insignificant effect on the temperature profile. In addition, the Nusselt number at the inner surface of the outer cylinder displays an unbounded swing which is significantly influenced by the degree of asymmetric heating.
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