The present investigation is concerned with the role of second-order slip in the mixed convection through a long heated vertical planar microchannel with asymmetric wall temperatures. The fully developed solutions of fields and the corresponding characteristics are analytically derived on the basis of second-order Maxwell–Smoluchowski–Burnett (MSB) slip/jump boundary conditions. Results reveal that second-order slip has an appreciable effect on the flow but a negligible effect on the heat transfer. The effect is to raise the gas motion speeds near the heated walls and to enlarge the pressure gradient required to drive the flow. It then leads to the reduction of local flow drag, except for the case where a reversed flow region exists. The second-order effect could be magnified by increasing the mixed convection number, the ratio of the Grashof number to the Reynolds number.
Second-Order Mixed Convective Flow in a Long Vertical Microchannel
Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received April 2, 2012; final manuscript received July 18, 2012; published online January 4, 2013. Assoc. Editor: Bruce L. Drolen.
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Jian, S., and Weng, H. C. (January 4, 2013). "Second-Order Mixed Convective Flow in a Long Vertical Microchannel." ASME. J. Heat Transfer. February 2013; 135(2): 022506. https://doi.org/10.1115/1.4007423
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