MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surface

An analysis is carried out to study the effects of variable thermo-physical properties on an unsteady MHD flow and heat transfer of an Ostwald–de Waele fluid over a stretching surface. The thermo-physical properties, namely, viscosity and thermal conductivity of the fluid are assumed to vary with te...

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Main Authors: K. Vajravelu, K.V. Prasad, P.S. Datti, B.T. Raju
Format: Article
Language:English
Published: Elsevier 2014-03-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447913000841
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author K. Vajravelu
K.V. Prasad
P.S. Datti
B.T. Raju
author_facet K. Vajravelu
K.V. Prasad
P.S. Datti
B.T. Raju
author_sort K. Vajravelu
collection DOAJ
description An analysis is carried out to study the effects of variable thermo-physical properties on an unsteady MHD flow and heat transfer of an Ostwald–de Waele fluid over a stretching surface. The thermo-physical properties, namely, viscosity and thermal conductivity of the fluid are assumed to vary with temperature. Using similarity transformation, the governing partial differential equations are converted into coupled, non-linear ordinary differential equations with variable coefficients. The resulting non-linear equations are solved numerically by a second-order finite difference scheme known as the Keller-box method for various values of the pertinent parameters. Also, the numerical results are obtained for special cases and are found to be in good agreement with those of the results available in the literature. Further, the results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.
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spelling doaj.art-dc7afc1e3c694606b470d8a739f57bb92022-12-21T21:57:56ZengElsevierAin Shams Engineering Journal2090-44792014-03-015115716710.1016/j.asej.2013.07.009MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surfaceK. Vajravelu0K.V. Prasad1P.S. Datti2B.T. Raju3Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, FL 32816, USADepartment of Mathematics, VSK University, Vinayaka Nagar, Bellary 583 104, Karnataka, IndiaT.I.F.R., Centre for Applicable Mathematics, Sharada Nagar, Yelahanka New Town, Bangalore 560 065, IndiaDepartment of Mathematics, Bangalore University, Bangalore 560 001, IndiaAn analysis is carried out to study the effects of variable thermo-physical properties on an unsteady MHD flow and heat transfer of an Ostwald–de Waele fluid over a stretching surface. The thermo-physical properties, namely, viscosity and thermal conductivity of the fluid are assumed to vary with temperature. Using similarity transformation, the governing partial differential equations are converted into coupled, non-linear ordinary differential equations with variable coefficients. The resulting non-linear equations are solved numerically by a second-order finite difference scheme known as the Keller-box method for various values of the pertinent parameters. Also, the numerical results are obtained for special cases and are found to be in good agreement with those of the results available in the literature. Further, the results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.http://www.sciencedirect.com/science/article/pii/S2090447913000841Ostwald–de Waele fluidMHD flowHeat transferVariable fluid propertiesUnsteady stretching surfaceFinite difference method
spellingShingle K. Vajravelu
K.V. Prasad
P.S. Datti
B.T. Raju
MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surface
Ain Shams Engineering Journal
Ostwald–de Waele fluid
MHD flow
Heat transfer
Variable fluid properties
Unsteady stretching surface
Finite difference method
title MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surface
title_full MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surface
title_fullStr MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surface
title_full_unstemmed MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surface
title_short MHD flow and heat transfer of an Ostwald–de Waele fluid over an unsteady stretching surface
title_sort mhd flow and heat transfer of an ostwald de waele fluid over an unsteady stretching surface
topic Ostwald–de Waele fluid
MHD flow
Heat transfer
Variable fluid properties
Unsteady stretching surface
Finite difference method
url http://www.sciencedirect.com/science/article/pii/S2090447913000841
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AT psdatti mhdflowandheattransferofanostwalddewaelefluidoveranunsteadystretchingsurface
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