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

Abstract EN

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.