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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Format: | Article |
Language: | English |
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Vilnius University Press
2008-10-01
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Series: | Nonlinear Analysis |
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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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format | Article |
id | doaj.art-f23d3b18c30e4ea9ba956c0e9445eda9 |
institution | Directory Open Access Journal |
issn | 1392-5113 2335-8963 |
language | English |
last_indexed | 2024-04-13T16:17:40Z |
publishDate | 2008-10-01 |
publisher | Vilnius University Press |
record_format | Article |
series | Nonlinear Analysis |
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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