Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls

The two dimensional heat transfer of a free convective–radiative MHD (magnetohydrodynamics) flows with variable viscosity and heat source of a viscous incompressible fluid in a porous medium between two vertical wavy walls was investigated. The fluid viscosity is assumed to vary as an exponential fu...

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Main Authors: A.B. Disu, M.S. Dada
Format: Article
Language:English
Published: Taylor & Francis Group 2017-07-01
Series:Journal of Taibah University for Science
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1658365515001843
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author A.B. Disu
M.S. Dada
author_facet A.B. Disu
M.S. Dada
author_sort A.B. Disu
collection DOAJ
description The two dimensional heat transfer of a free convective–radiative MHD (magnetohydrodynamics) flows with variable viscosity and heat source of a viscous incompressible fluid in a porous medium between two vertical wavy walls was investigated. The fluid viscosity is assumed to vary as an exponential function of temperature. The flow is assumed to consist of a mean part and a perturbed part. The perturbed quantities were expressed in terms of complex exponential series of plane wave equation. The resultant differential equations governing the flow were non-dimensionalised and solved using Differential Transform Method (DTM). The numerical computations were presented in tabular and graphical forms for various fluid parameters. It shows that an increase in radiation, variable viscosity and permeability parameters cause a rise in velocity profile. Nusselt number increases with increase in heat source and decreases with increase in radiation parameter at both walls.
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spelling doaj.art-fcdf408de3d241169af12925a5e352af2022-12-22T03:36:48ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552017-07-0111454856510.1016/j.jtusci.2015.12.001Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy wallsA.B. Disu0M.S. Dada1School of Science and Technology, National Open University of Nigeria, Victoria Island, Lagos, NigeriaDepartment of Mathematics, University of Ilorin, Ilorin, NigeriaThe two dimensional heat transfer of a free convective–radiative MHD (magnetohydrodynamics) flows with variable viscosity and heat source of a viscous incompressible fluid in a porous medium between two vertical wavy walls was investigated. The fluid viscosity is assumed to vary as an exponential function of temperature. The flow is assumed to consist of a mean part and a perturbed part. The perturbed quantities were expressed in terms of complex exponential series of plane wave equation. The resultant differential equations governing the flow were non-dimensionalised and solved using Differential Transform Method (DTM). The numerical computations were presented in tabular and graphical forms for various fluid parameters. It shows that an increase in radiation, variable viscosity and permeability parameters cause a rise in velocity profile. Nusselt number increases with increase in heat source and decreases with increase in radiation parameter at both walls.http://www.sciencedirect.com/science/article/pii/S1658365515001843Wavy wallsPorous mediumReynold's model viscosityTwo-dimensional radiationDifferential Transform Method
spellingShingle A.B. Disu
M.S. Dada
Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls
Journal of Taibah University for Science
Wavy walls
Porous medium
Reynold's model viscosity
Two-dimensional radiation
Differential Transform Method
title Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls
title_full Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls
title_fullStr Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls
title_full_unstemmed Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls
title_short Reynold's model viscosity on radiative MHD flow in a porous medium between two vertical wavy walls
title_sort reynold s model viscosity on radiative mhd flow in a porous medium between two vertical wavy walls
topic Wavy walls
Porous medium
Reynold's model viscosity
Two-dimensional radiation
Differential Transform Method
url http://www.sciencedirect.com/science/article/pii/S1658365515001843
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