A Report on the Analytic Approximations for the Flows and Heat Transfer in Microchannels between Two Parallel Plates | Chapter 8 | Theory and Practice of Mathematics and Computer Science Vol.2

 

The nonlinear problem of the flow of Newtonian fluid in a microchannel between two parallel plates was discussed in this paper with the effects of velocity slip, viscous dissipation, and wall temperature leap. Both the Navier-Stokes equation and the energy equation model this problem with two thermal boundary conditions related to the two cases: the constant temperature of the wall (CWT) and the constant heat flux (CHF). The effects of rarefaction on the velocity profile and flow friction are studied. The results on the Nusselt number Nu, with differences in the Brinkman number Br and Knudsen number Kn for both (CWT) cases, are also attributable to the application. Case and (CHF) are addressed.

Author (s) Details

A. El-Nahhas
Mathematics Department, Helwan Faculty of Science, Helwan University, Egypt

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