Thermodynamic analysis for an inclined channel containing two immiscible couple stress fluids using HAM

Abstract

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.In this paper, the flow of two immiscible couple stress fluids between two inclined parallel plates of a channel with constant wall temperatures is studied in terms of entropy generation rate. The flow is assumed to be governed by Stokes’s couple stress fluid flow equation. The flow region consists of two zones, the flow of the heavier fluid taking place in the lower zone. The governing non-linear differential equations are then solved using Homotopy Analysis Method (HAM). Profiles of dimensionless velocity, temperature, entropy generation number and Bejan number are shown graphically for various values of couple stress parameter, Brinkman number, Grashof number, Reynolds number and viscous dissipation parameter. It is observed that couple stress fluid decreases the frictional forces and hence increases exergy.