MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate
We apply the one parameter continuous group method to investigate similarity solutions of magnetohydrodynamic (MHD) heat and mass transfer flow of a steady viscous incompressible fluid over a flat plate. By using the one parameter group method, similarity transformations and corresponding similarity...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/923487 |
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| author | Mohammad M. Rashidi Mohammad Ferdows Amir Basiri Parsa Shirley Abelman |
| author_facet | Mohammad M. Rashidi Mohammad Ferdows Amir Basiri Parsa Shirley Abelman |
| author_sort | Mohammad M. Rashidi |
| collection | DOAJ |
| description | We apply the one parameter continuous group method to investigate similarity solutions of magnetohydrodynamic (MHD) heat and mass transfer flow of a steady viscous incompressible fluid over a flat plate. By using the one parameter group method, similarity transformations and corresponding similarity representations are presented. A convective boundary condition is applied instead of the usual boundary conditions of constant surface temperature or constant heat flux. In addition it is assumed that viscosity, thermal conductivity, and concentration diffusivity vary linearly. Our study indicates that a similarity solution is possible if the convective heat transfer related to the hot fluid on the lower surface of the plate is directly proportional to (x-)-1/2 where x- is the distance from the leading edge of the solid surface. Numerical solutions of the ordinary differential equations are obtained by the Keller Box method for different values of the controlling parameters associated with the problem. |
| format | Article |
| id | doaj-art-495b655401794e349333bd2112db211f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-495b655401794e349333bd2112db211f2025-02-03T01:09:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/923487923487MHD Natural Convection with Convective Surface Boundary Condition over a Flat PlateMohammad M. Rashidi0Mohammad Ferdows1Amir Basiri Parsa2Shirley Abelman3University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai 200000, ChinaDepartment of Mathematics, Dhaka University, Dhaka 1000, BangladeshYoung Researchers and Elites Club, Islamic Azad University, Hamadan Branch, Hamadan 65141, IranCentre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South AfricaWe apply the one parameter continuous group method to investigate similarity solutions of magnetohydrodynamic (MHD) heat and mass transfer flow of a steady viscous incompressible fluid over a flat plate. By using the one parameter group method, similarity transformations and corresponding similarity representations are presented. A convective boundary condition is applied instead of the usual boundary conditions of constant surface temperature or constant heat flux. In addition it is assumed that viscosity, thermal conductivity, and concentration diffusivity vary linearly. Our study indicates that a similarity solution is possible if the convective heat transfer related to the hot fluid on the lower surface of the plate is directly proportional to (x-)-1/2 where x- is the distance from the leading edge of the solid surface. Numerical solutions of the ordinary differential equations are obtained by the Keller Box method for different values of the controlling parameters associated with the problem.http://dx.doi.org/10.1155/2014/923487 |
| spellingShingle | Mohammad M. Rashidi Mohammad Ferdows Amir Basiri Parsa Shirley Abelman MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate Abstract and Applied Analysis |
| title | MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate |
| title_full | MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate |
| title_fullStr | MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate |
| title_full_unstemmed | MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate |
| title_short | MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate |
| title_sort | mhd natural convection with convective surface boundary condition over a flat plate |
| url | http://dx.doi.org/10.1155/2014/923487 |
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