Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical plate with variable surface temperature
An analysis is performed to study radiation effects on magnetohydrodynamic (MHD) unsteady free-convection flow past a semi-infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear alge...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X0320509X |
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| author | M. A. Abd El-Naby Elsayed M. E. Elbarbary Nader Y. Abdelazem |
| author_facet | M. A. Abd El-Naby Elsayed M. E. Elbarbary Nader Y. Abdelazem |
| author_sort | M. A. Abd El-Naby |
| collection | DOAJ |
| description | An analysis is performed to study radiation effects on
magnetohydrodynamic (MHD) unsteady free-convection flow past a semi-infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear algebraic system by an implicit finite-difference method. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, and Prandtl number on the velocity and temperature profiles. The numerical results reveal that the radiation has significant influences on the velocity and temperature profiles, skin friction, and Nusselt number. The results indicate that the velocity, temperature, and local and average skin friction increase as the radiation parameter increases, while the local and average Nusselt numbers decrease as the radiation parameter increases. |
| format | Article |
| id | doaj-art-e08efa9f8c1e42d08fe3f1adc736856f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e08efa9f8c1e42d08fe3f1adc736856f2025-02-03T01:29:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-0120032658610.1155/S1110757X0320509XFinite difference solution of radiation effects on MHD unsteady free-convection flow over vertical plate with variable surface temperatureM. A. Abd El-Naby0Elsayed M. E. Elbarbary1Nader Y. Abdelazem2Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, EgyptDepartment of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, EgyptDepartment of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, EgyptAn analysis is performed to study radiation effects on magnetohydrodynamic (MHD) unsteady free-convection flow past a semi-infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear algebraic system by an implicit finite-difference method. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, and Prandtl number on the velocity and temperature profiles. The numerical results reveal that the radiation has significant influences on the velocity and temperature profiles, skin friction, and Nusselt number. The results indicate that the velocity, temperature, and local and average skin friction increase as the radiation parameter increases, while the local and average Nusselt numbers decrease as the radiation parameter increases.http://dx.doi.org/10.1155/S1110757X0320509X |
| spellingShingle | M. A. Abd El-Naby Elsayed M. E. Elbarbary Nader Y. Abdelazem Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical plate with variable surface temperature Journal of Applied Mathematics |
| title | Finite difference solution of radiation effects on MHD
unsteady free-convection flow over vertical plate with
variable surface temperature |
| title_full | Finite difference solution of radiation effects on MHD
unsteady free-convection flow over vertical plate with
variable surface temperature |
| title_fullStr | Finite difference solution of radiation effects on MHD
unsteady free-convection flow over vertical plate with
variable surface temperature |
| title_full_unstemmed | Finite difference solution of radiation effects on MHD
unsteady free-convection flow over vertical plate with
variable surface temperature |
| title_short | Finite difference solution of radiation effects on MHD
unsteady free-convection flow over vertical plate with
variable surface temperature |
| title_sort | finite difference solution of radiation effects on mhd unsteady free convection flow over vertical plate with variable surface temperature |
| url | http://dx.doi.org/10.1155/S1110757X0320509X |
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