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Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation

E.O Anyanwu, D. Raymond, C.E Okorie, F.E James, E.O Ogbaji
2018 International Journal of Scientific Research in Mathematical and Statistical Sciences  
This study analyzes laminar forced convection flow in parallel plate micro-channel with slip velocity and temperature jump. Closed-form solutions are obtained for temperature, bulk temperature and rate of heat transfer when both walls of the channel are kept at unequal temperatures. The effects of various controlling parameters such as rarefaction parameter, fluid-wall interaction parameter and Brinkman number on the thermal behavior and rate of heat transfer are discussed with the aid of line
more » ... th 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. In addition, the rate of heat transfer represented as the Nusselt number at the both walls of the channel displays an unbounded swing which varies with increase in fluid-wall interaction and rarefaction parameters.
doi:10.26438/ijsrmss/v5i4.921 fatcat:jbfcbhrisfgnxg2fxtzjuzopga