Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium

Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium

We study the effect of variable viscosity on the flow and vortex instability for non-Darcy mixed convection boundary layer flow on a nonisothermal horizontal plat surface in a saturated porous medium. The variation of viscosity is expressed as an exponential function of temperature. The analysis of...

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Main Authors: A. M. Elaiw, A. A. Bakr, M. A. Alghamdi, F. S. Ibrahim
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/691802
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spelling doaj-48858517979743cf87e28dad301e1e1d2020-11-24T22:21:38ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/691802691802Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous MediumA. M. Elaiw0A. A. Bakr1M. A. Alghamdi2F. S. Ibrahim3Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science for Girls, King Khalid University, Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University Collage in Makkah, Umm-Alqura University, Saudi ArabiaWe study the effect of variable viscosity on the flow and vortex instability for non-Darcy mixed convection boundary layer flow on a nonisothermal horizontal plat surface in a saturated porous medium. The variation of viscosity is expressed as an exponential function of temperature. The analysis of the disturbance flow is based on linear stability theory. The base flow equations and the resulting eigenvalue problem are solved using finite difference schemes. It is found that the variable viscosity effect enhances the heat transfer rate and destabilizes the flow for liquid heating, while the opposite trend is true for gas heating.http://dx.doi.org/10.1155/2012/691802
collection DOAJ
language English
format Article
sources DOAJ
author A. M. Elaiw
A. A. Bakr
M. A. Alghamdi
F. S. Ibrahim
spellingShingle A. M. Elaiw
A. A. Bakr
M. A. Alghamdi
F. S. Ibrahim
Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium
Mathematical Problems in Engineering
author_facet A. M. Elaiw
A. A. Bakr
M. A. Alghamdi
F. S. Ibrahim
author_sort A. M. Elaiw
title Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium
title_short Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium
title_full Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium
title_fullStr Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium
title_full_unstemmed Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium
title_sort effect of variable viscosity on vortex instability of non-darcy mixed convection boundary layer flow adjacent to a nonisothermal horizontal surface in a porous medium
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description We study the effect of variable viscosity on the flow and vortex instability for non-Darcy mixed convection boundary layer flow on a nonisothermal horizontal plat surface in a saturated porous medium. The variation of viscosity is expressed as an exponential function of temperature. The analysis of the disturbance flow is based on linear stability theory. The base flow equations and the resulting eigenvalue problem are solved using finite difference schemes. It is found that the variable viscosity effect enhances the heat transfer rate and destabilizes the flow for liquid heating, while the opposite trend is true for gas heating.
url http://dx.doi.org/10.1155/2012/691802
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AT aabakr effectofvariableviscosityonvortexinstabilityofnondarcymixedconvectionboundarylayerflowadjacenttoanonisothermalhorizontalsurfaceinaporousmedium
AT maalghamdi effectofvariableviscosityonvortexinstabilityofnondarcymixedconvectionboundarylayerflowadjacenttoanonisothermalhorizontalsurfaceinaporousmedium
AT fsibrahim effectofvariableviscosityonvortexinstabilityofnondarcymixedconvectionboundarylayerflowadjacenttoanonisothermalhorizontalsurfaceinaporousmedium
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