Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates

Unsteady viscous incompressible free convection flow of an electrically conducting fluid between two heated vertical parallel plates is considered in the presence of a uniform magnetic field applied transversely to the flow. The induce field along the lines of motion varies transversely to the flow...

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Main Authors: Singha Gopal Krishna, Deka P.N.
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2006-01-01
Series:Theoretical and Applied Mechanics
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2006/1450-55840604259S.pdf
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author Singha Gopal Krishna
Deka P.N.
author_facet Singha Gopal Krishna
Deka P.N.
author_sort Singha Gopal Krishna
collection DOAJ
description Unsteady viscous incompressible free convection flow of an electrically conducting fluid between two heated vertical parallel plates is considered in the presence of a uniform magnetic field applied transversely to the flow. The induce field along the lines of motion varies transversely to the flow and the fluid temperature changing with time. An analytical solution for velocity, induced field and the temperature distributions are obtained for small and large magnetic Reynolds numbers. The skin-friction at the two plates is obtained. Velocity distribution, induced field and skin-friction are plotted against the distance from the plates. It has been observed that with the increase in Rm, the magnetic Reynolds number, at constant M, the Hartmann number, leads to an increase in the skin-friction gradually. But with the increase in M, at constant Rm, the skin-friction decreases.
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spelling doaj.art-6822ec2d1a4b4f70aa66dd6407fa67732022-12-22T01:05:52ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842006-01-0133425928010.2298/TAM0604259SSkin-friction for unsteady free convection MHD flow between two heated vertical parallel platesSingha Gopal KrishnaDeka P.N.Unsteady viscous incompressible free convection flow of an electrically conducting fluid between two heated vertical parallel plates is considered in the presence of a uniform magnetic field applied transversely to the flow. The induce field along the lines of motion varies transversely to the flow and the fluid temperature changing with time. An analytical solution for velocity, induced field and the temperature distributions are obtained for small and large magnetic Reynolds numbers. The skin-friction at the two plates is obtained. Velocity distribution, induced field and skin-friction are plotted against the distance from the plates. It has been observed that with the increase in Rm, the magnetic Reynolds number, at constant M, the Hartmann number, leads to an increase in the skin-friction gradually. But with the increase in M, at constant Rm, the skin-friction decreases.http://www.doiserbia.nb.rs/img/doi/1450-5584/2006/1450-55840604259S.pdfskin-frictionfully developed flowconducting fluidinduced fieldmagnetic Reynolds number
spellingShingle Singha Gopal Krishna
Deka P.N.
Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates
Theoretical and Applied Mechanics
skin-friction
fully developed flow
conducting fluid
induced field
magnetic Reynolds number
title Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates
title_full Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates
title_fullStr Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates
title_full_unstemmed Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates
title_short Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates
title_sort skin friction for unsteady free convection mhd flow between two heated vertical parallel plates
topic skin-friction
fully developed flow
conducting fluid
induced field
magnetic Reynolds number
url http://www.doiserbia.nb.rs/img/doi/1450-5584/2006/1450-55840604259S.pdf
work_keys_str_mv AT singhagopalkrishna skinfrictionforunsteadyfreeconvectionmhdflowbetweentwoheatedverticalparallelplates
AT dekapn skinfrictionforunsteadyfreeconvectionmhdflowbetweentwoheatedverticalparallelplates