In this research paper, fully developed natural convection flow in a vertical parallel plate's micro-channel in the presence of viscous dissipation is theoretically examined by using a perturbation series method. The effects of velocity slip and temperature jump are taken to consideration. Due to the presence of viscous dissipation, the momentum and energy equations are coupled system of ordinary differential equations. The influences of Knudsen number, fluid wall interaction parameter, and viscous dissipation on the flow formation and heat transfer aspects are demonstrated through graphs and tables. This result indicates that increasing the value of rarefaction parameter decreases the effect of viscous dissipation on the Nusselt number. Furthermore, it is found that the effects of rarefaction parameter as well as buoyancy parameter on temperature and velocity are significantly pronounced in the case of symmetric heating
Impact of Viscous Dissipation on Fully Developed Natural Convection Flow in a Vertical Microchannel
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 20, 2017; final manuscript received March 7, 2018; published online May 22, 2018. Assoc. Editor: Ali Khounsary.
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Jha, B. K., and Aina, B. (May 22, 2018). "Impact of Viscous Dissipation on Fully Developed Natural Convection Flow in a Vertical Microchannel." ASME. J. Heat Transfer. September 2018; 140(9): 094502. https://doi.org/10.1115/1.4039641
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