Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation
The present paper deals with a steady two-dimensional laminar flow of a viscous incompressible electrically conducting fluid over a shrinking sheet in the presence of uniform transverse magnetic field with viscous dissipation. Using suitable similarity transformations the governing partial different...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/756498 |
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| author | S. R. Mishra S. Jena |
| author_facet | S. R. Mishra S. Jena |
| author_sort | S. R. Mishra |
| collection | DOAJ |
| description | The present paper deals with a steady two-dimensional laminar flow of a viscous incompressible electrically conducting fluid over a shrinking sheet in the presence of uniform transverse magnetic field with viscous dissipation. Using suitable similarity transformations the governing partial differential equations are transformed into ordinary differential equations and then solved numerically by fourth-order Runge-Kutta method with shooting technique. Results for velocity and temperature profiles for different values of the governing parameters have been discussed in detail with graphical representation. The numerical evaluation of skin friction and Nusselt number are also given in this paper. |
| format | Article |
| id | doaj-art-edff32c936a94d7893a317224da27bd2 |
| institution | DOAJ |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-edff32c936a94d7893a317224da27bd22025-08-20T03:20:43ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/756498756498Numerical Solution of Boundary Layer MHD Flow with Viscous DissipationS. R. Mishra0S. Jena1Department of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Khandagiri, Bhubaneswar, Odisha 751030, IndiaDepartment of Mathematics, Centurion University of Technology and Management, Bhubaneswar, IndiaThe present paper deals with a steady two-dimensional laminar flow of a viscous incompressible electrically conducting fluid over a shrinking sheet in the presence of uniform transverse magnetic field with viscous dissipation. Using suitable similarity transformations the governing partial differential equations are transformed into ordinary differential equations and then solved numerically by fourth-order Runge-Kutta method with shooting technique. Results for velocity and temperature profiles for different values of the governing parameters have been discussed in detail with graphical representation. The numerical evaluation of skin friction and Nusselt number are also given in this paper.http://dx.doi.org/10.1155/2014/756498 |
| spellingShingle | S. R. Mishra S. Jena Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation The Scientific World Journal |
| title | Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation |
| title_full | Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation |
| title_fullStr | Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation |
| title_full_unstemmed | Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation |
| title_short | Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation |
| title_sort | numerical solution of boundary layer mhd flow with viscous dissipation |
| url | http://dx.doi.org/10.1155/2014/756498 |
| work_keys_str_mv | AT srmishra numericalsolutionofboundarylayermhdflowwithviscousdissipation AT sjena numericalsolutionofboundarylayermhdflowwithviscousdissipation |