MHD MIXED CONVECTION FLOW OF A NON-NEWTONIAN POWELL-ERYING FLUID OVER A PERMEABLE EXPONENTIALLY SHRINKING SHEET
Author(s) -
Krishnendu Bhattacharyya,
Astick Banerjee,
Aurang Zaib,
Sanat Kumar Mahato
Publication year - 2018
Publication title -
frontiers in heat and mass transfer
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 18
ISSN - 2151-8629
DOI - 10.5098/hmt.10.30
Subject(s) - thermal fluids , magnetohydrodynamics , frontier , mechanics , non newtonian fluid , fluid dynamics , resizing , newtonian fluid , thermal , flow (mathematics) , combined forced and natural convection , heat transfer , materials science , thermodynamics , natural convection , convective heat transfer , physics , political science , business , law , plasma , quantum mechanics , european union , economic policy
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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