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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Main Authors: M. A. Abd El-Naby, Elsayed M. E. Elbarbary, Nader Y. Abdelazem
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X0320509X
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spelling doaj-e08efa9f8c1e42d08fe3f1adc736856f2020-11-24T23:34:37ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author M. A. Abd El-Naby
Elsayed M. E. Elbarbary
Nader Y. Abdelazem
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
author_facet M. A. Abd El-Naby
Elsayed M. E. Elbarbary
Nader Y. Abdelazem
author_sort M. A. Abd El-Naby
title 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_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_sort finite difference solution of radiation effects on mhd unsteady free-convection flow over vertical plate with variable surface temperature
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2003-01-01
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.
url http://dx.doi.org/10.1155/S1110757X0320509X
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