Couple Stress Fluid Flow with Variable Properties: A Second Law Analysis
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Date
2019
Authors
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Publisher
Wiley Math Meth Appl Sci.
Abstract
The present work examines the combined influence of variable thermal conductivity
and viscosity on the irreversibility rate in couple stress fluid flow in between asymmetrically heated
parallel plates. The dimensionless fluid equations are solved by using homotopy analysis method (HAM)
and validated with RungeāKutta shooting method (RKSM). The convergent series solution is then used
for the irreversibility analysis in the flow domain. The effects of thermal conductivity and viscosity
variation parameters, couple stress parameter, Reynolds number, Grashof number, Hartmann number
on the velocity profile, temperature distribution, entropy production, and heat irreversibility ratio are
presented through graphs, and salient features of the solutions are discussed. The computations show
that the entropy production rate decreases with increased magnetic field and thermal conductivity
parameters, whereas it rises with increasing values of couple stress parameter, Brinkman number,
viscosity variation parameter, and Grashof number. The study is relevant to lubrication theory.
Description
Keywords
Bejan number, Entropy generation number, Homotopy analysis method, Mixed convection, Variable thermal conductivity, Variable viscosity