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

E.O Anyanwu¹ , D. Raymond² , C.E Okorie³ , F.E James⁴ , E.O Ogbaji⁵

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.9-21, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.921

Online published on Aug 31, 2018

Copyright © E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
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 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.

Key-Words / Index Term :
Micro-channel, forced convection, velocity slip, temperature jump, viscous dissipation, Nusselt number

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