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Thermal Viscous Dissipative Couette-Poiseuille Flow in a Porous Medium Saturated Channel

Faculty of Engineering and Technology, Multimedia University, Jalan Ayer Keroh Lama, Melaka 75450, Malaysia
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Symmetry 2019, 11(7), 869; https://doi.org/10.3390/sym11070869
Received: 7 May 2019 / Revised: 21 June 2019 / Accepted: 24 June 2019 / Published: 3 July 2019
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Abstract

A Couette-Poiseuille flow between parallel plates saturated with porous medium is studied with emphasis on viscous dissipation effect on the temperature field; assuming a fully developed flow, with both plates subjected to unequal and uniform heat flux. Temperature field and Nusselt number are derived as a function of Brinkman number and porous medium shape factor. By specifying the ratio of wall to mean velocity as one, the resulting velocity and temperature fields attribute to a significant increase in Nusselt number for the moving wall as the permeability of porous medium increases. Increased permeability signifies competing effect between enhanced convection in the proximity of the moving wall and higher local viscous dissipation. When the former effect dominates, heat transfer coefficient increases. Effects of Reynolds number on the temperature field is elucidated, including a comparison between a microchannel and conventional duct to evaluate the characteristic length scale effect. As Reynolds number goes up in a microchannel, heat generation in the form of viscous dissipation intensifies and overrides the convection effect, causing an increase in the highest temperature along the duct on the contrary to the findings in conventional duct. View Full-Text
Keywords: viscous dissipation; forced convection; Couette-Poiseuille flow; porous medium viscous dissipation; forced convection; Couette-Poiseuille flow; porous medium
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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 (CC BY 4.0).
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Chen, G.M.; B., M.F.; Lim, B.K.; Tso, C.P. Thermal Viscous Dissipative Couette-Poiseuille Flow in a Porous Medium Saturated Channel. Symmetry 2019, 11, 869.

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