MHD and Slip Boundary Condition Effects on Forced Convection Flow through a Microchannel Including Viscous Dissipation
E. O. Anyanwu *
Department of Mathematics and Statistics, Federal University Wukari, Nigeria.
F. E. James
Department of Mathematics and Statistics, Federal University Wukari, Nigeria.
O. D. Ogwumu
Department of Mathematics and Statistics, Federal University Wukari, Nigeria.
E. O. Ogbaji
Department of Mathematics and Statistics, Federal University Wukari, Nigeria.
C. E. Okorie
Department of Mathematics and Statistics, Federal University Wukari, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This study analyzes laminar forced convection flow in parallel plate micro-channel with slip velocity and temperature jump in the presence of transverse magnetic field. Closed-form solutions are obtained for velocity and thermal profiles when both walls of the channel are kept at unequal temperatures. The effects of various controlling parameters such as Hartman number, rarefaction parameter, fluid-wall interaction parameter and Brinkman number on the thermal behavior are discussed with the aid of line graphs. Interesting result from the present work is that increase in rarefaction parameter leads to enhancement in fluid temperature while increase in fluid-wall interaction parameter leads to increase in temperature jump on the walls of the channel.
Keywords: Knudsen number (Kn), forced convection, velocity slip, temperature jump, viscous dissipation, Magnetohydrodynamics (MHD)