MHD and Slip Boundary Condition Effects on Forced Convection Flow through a Microchannel Including Viscous Dissipation

Main Article Content

E. O. Anyanwu
F. E. James
O. D. Ogwumu
E. O. Ogbaji
C. E. Okorie

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)

Article Details

How to Cite
Anyanwu, E. O., James, F. E., Ogwumu, O. D., Ogbaji, E. O., & Okorie, C. E. (2018). MHD and Slip Boundary Condition Effects on Forced Convection Flow through a Microchannel Including Viscous Dissipation. Asian Research Journal of Mathematics, 11(1), 1-11. https://doi.org/10.9734/ARJOM/2018/44343
Section
Original Research Article