Open Access

ARTICLE

MHD MIXED CONVECTION FLOW OF A NON-NEWTONIAN POWELLERYING FLUID OVER A PERMEABLE EXPONENTIALLY SHRINKING SHEET

Astick Banerjee^a , Aurang Zaib^b , Krishnendu Bhattacharyya^c,* , S.K. Mahato^d

a Mohulara Jr. High School, Birbhum–731236, West Bengal, India
b Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Gulshan-e-Iqbal Karachi, Pakistan
c Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi–221005, Uttar Pradesh, India
b Department of Mathematics, Sidho Kanho Birsha University, Purulia–723104, West Bengal, India

* Corresponding Authors: Email: ,

Frontiers in Heat and Mass Transfer 2018, 10, 1-8. https://doi.org/10.5098/hmt.10.30

Abstract

The magnetohydrodynamic (MHD) mixed convection heat transfer in a non-Newtonian Powell-Erying fluid flow due to an exponentially shrinking porous sheet is investigated. Both assisting and opposing flows are considered. After use of the suitable transformations, the governing equations become non-similar ODEs. Numerical computations of resulting equations are obtained by very efficient shooting method for several values of involved parameters. The results exhibit that dual non-similar solutions can be found only when some amount of fluid mass is sucked from the flow field through the porous sheet. Many important results on the effect of external magnetic field on mixed convective flow of Powell-Erying fluid have been explored. Where, it is found that dual non-similar solutions exist for the opposing flow, while for the assisting flow, solution is unique and for steady Powell-Erying fluid flow stronger mass suction is required compared to the Newtonian fluid flow.

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Keywords

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