Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction

MHD natural convection flow of an electrically conducting fluid along a vertical flat plate with temperature dependent thermal conductivity and conduction effects is analyzed. The governing equations with associated boundary conditions for this phenomenon are converted to dimensionless forms using a...

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Main Authors: M. M. Rahman, A. A. Mamun, M. A. Azim, M. A. Alim
Format: Article
Language:English
Published: Vilnius University Press 2008-10-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14555
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author M. M. Rahman
A. A. Mamun
M. A. Azim
M. A. Alim
author_facet M. M. Rahman
A. A. Mamun
M. A. Azim
M. A. Alim
author_sort M. M. Rahman
collection DOAJ
description MHD natural convection flow of an electrically conducting fluid along a vertical flat plate with temperature dependent thermal conductivity and conduction effects is analyzed. The governing equations with associated boundary conditions for this phenomenon are converted to dimensionless forms using a suitable transformation. The transformed non-linear equations are then solved using the implicit finite difference method with Keller-box scheme. Numerical results of the velocity, temperature, skin friction coefficient and surface temperature for different values of the magnetic parameter, thermal conductivity variation parameter, Prandtl number and conjugate conduction parameter are presented graphically. Detailed discussion is given for the effects of the aforementioned parameters.
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spelling doaj.art-f23d3b18c30e4ea9ba956c0e9445eda92022-12-22T02:40:01ZengVilnius University PressNonlinear Analysis1392-51132335-89632008-10-0113410.15388/NA.2008.13.4.14555Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat ConductionM. M. Rahman0A. A. Mamun1M. A. Azim2M. A. Alim3Dhaka International University, BangladeshUnited International University, BangladeshSoutheast University, BangladeshBangladesh University of Engineering and Technology, BangladeshMHD natural convection flow of an electrically conducting fluid along a vertical flat plate with temperature dependent thermal conductivity and conduction effects is analyzed. The governing equations with associated boundary conditions for this phenomenon are converted to dimensionless forms using a suitable transformation. The transformed non-linear equations are then solved using the implicit finite difference method with Keller-box scheme. Numerical results of the velocity, temperature, skin friction coefficient and surface temperature for different values of the magnetic parameter, thermal conductivity variation parameter, Prandtl number and conjugate conduction parameter are presented graphically. Detailed discussion is given for the effects of the aforementioned parameters.http://www.journals.vu.lt/nonlinear-analysis/article/view/14555magnetohydrodynamicfree convectionthermal conductivity variationconductionfinite difference method
spellingShingle M. M. Rahman
A. A. Mamun
M. A. Azim
M. A. Alim
Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction
Nonlinear Analysis
magnetohydrodynamic
free convection
thermal conductivity variation
conduction
finite difference method
title Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction
title_full Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction
title_fullStr Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction
title_full_unstemmed Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction
title_short Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction
title_sort effects of temperature dependent thermal conductivity on magnetohydrodynamic mhd free convection flow along a vertical flat plate with heat conduction
topic magnetohydrodynamic
free convection
thermal conductivity variation
conduction
finite difference method
url http://www.journals.vu.lt/nonlinear-analysis/article/view/14555
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