Non-Newtonian Effects on Hydromagnetic Dusty Stratified Fluid Flow Through a Porous Medium with Volume Fraction

Research Article
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Abstract

An unsteady hydro-magnetic Couette flow of dusty non-Newtonian stratified fluid through a porous medium bounded by two parallel plates has been investigated in presence of volume fraction. Lower plate is kept fixed and the upper plate is moving with some velocity. The non-Newtonian fluid flow is characterized by Walters liquid (Model \( B^{\prime } \)). Effects of exponentially varying density, viscosity, visco-elasticity, electrical conductivity and dust particle density have been considered in the problem. A magnetic field of strength B 0 is applied along the transverse direction to the plate. Governing equations of motion are solved analytically for various values of flow parameters involved in the solution. Effects of visco-elasticity on velocity profile, skin friction have been studied graphically. Also, effects of stratification parameter and volume fraction in both Newtonian and non-Newtonian fluid flows have been analysed.

Keywords

Hydro-magnetic Volume fraction Walters liquid (Model \( B^{\prime } \)) Stratification Skin friction 
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Notes

Acknowledgments

I acknowledge Prof. Rita Choudhury, Department of Mathematics, Gauhati University for her encouragement throughout this work.

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Copyright information

© The National Academy of Sciences, India 2015

Authors and Affiliations

  1. 1.Department of MathematicsDibrugarh UniversityDibrugarhIndia

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