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...
Main Authors: | , |
---|---|
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 |
_version_ | 1818150294764126208 |
---|---|
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. |
first_indexed | 2024-12-11T13:20:39Z |
format | Article |
id | doaj.art-6822ec2d1a4b4f70aa66dd6407fa6773 |
institution | Directory Open Access Journal |
issn | 1450-5584 |
language | English |
last_indexed | 2024-12-11T13:20:39Z |
publishDate | 2006-01-01 |
publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
record_format | Article |
series | Theoretical and Applied Mechanics |
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 |