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Analytic Approximations for the Flows and Heat Transfer in Microchannels between Two Parallel Plates

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  • A. El-Nahhas

Abstract

We consider the nonlinear problem for the flow of Newtonian fluid in a microchannel between two parallel plates with the effects of velocity slip, viscous dissipation, and temperature jump at the wall. This problem is modelled by both the Navier-Stokes equation and energy equation with two thermal boundary conditions related to the two cases: the constant wall temperature (CWT) and the constant heat flux (CHF). The homotopy analysis method is applied via a polynomial exponential basis to obtain analytic approximations for this problem. A rarefaction effects on the velocity profile and the flow friction are investigated. Also, as a result of the application, the effects, on the Nusselt number Nu, with variation in Brinkman number Br and Knudsen number Kn for both (CWT) case and (CHF) case are discussed.

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  • A. El-Nahhas, 2012. "Analytic Approximations for the Flows and Heat Transfer in Microchannels between Two Parallel Plates," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, March.
    • Handle: RePEc:hin:jnlmpe:568345
    DOI: 10.1155/2012/568345
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