Effect of High-Prandtl Number on Microscale Flow and Heat Transfer (original) (raw)
The effect of high-Prandtl number on steady fully developed microscale flow and heat transfer between two parallel plates exposed to a constant heat flux is investigated analytically in this study. The Prandtl number over several orders of magnitude (5 < Pr <10 3) as well as different Knudsen number (0 < Kn <0.1) and different modified Brinkman number (-0.1 < Br <0.1) are considered. The momentum and energy equations are solved for first order boundaries of slip velocity and temperature jump. The influences of the Prandtl number, Knudsen number and Brinkman number on the temperature distribution and heat transfer characteristics are discussed.
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Analysis of Slip Flow Heat Transfer between Asymmetrically Heated Parallel Plates
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Abstract—In the present study, analysis of heat transfer is carried out in the slip flow region for the fluid flowing between two parallel plates by employing the asymmetric heat fluxes at surface of the plates. The flow is assumed to be hydrodynamically and thermally fully developed for the analysis. The second order velocity slip and viscous dissipation effects are considered for the analysis. Closed form expressions are obtained for the Nusselt number as a function of Knudsen number and modified Brinkman number. The limiting condition of the present prediction for Kn = 0, Kn = 0, and Brq1 = 0 is considered and found to agree well with other analytical results.
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