Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating System
Unsteady hydromagnetic Couette flow of class-II of a viscous incompressible electrically conducting fluid in a rotating system with Hall effects in the presence of a uniform transverse magnetic field is studied. Both the fluid and plates of the channel are assumed to be at rest when time and fluid...
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Format: | Article |
Language: | English |
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Isfahan University of Technology
2013-01-01
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Series: | Journal of Applied Fluid Mechanics |
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Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=30942&issue_ID=215 |
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author | Gauri Shanker Seth j.k singh |
author_facet | Gauri Shanker Seth j.k singh |
author_sort | Gauri Shanker Seth |
collection | DOAJ |
description | Unsteady hydromagnetic Couette flow of class-II of a viscous incompressible electrically conducting fluid in a rotating system with Hall effects in the presence of a uniform transverse magnetic field is studied. Both the fluid and plates of the channel are assumed to be at rest when time and fluid flow within the channel is induced due to non-torsional oscillations of the upper plate in its own plane with a velocity about a non-zero uniform velocity at time . Exact solution of the governing equations is obtained by Laplace transform technique. Asymptotic behavior of the solution is analyzed for small and large values of rotation parameter and magnetic parameter when time t>>1. The numerical values of the fluid velocity are depicted graphically whereas that of shear stress at the plates are presented in tabular form for various values of Hall current parameter , rotation parameter , magnetic parameter and frequency parameter . |
first_indexed | 2024-12-21T07:55:22Z |
format | Article |
id | doaj.art-836fe26e91cf4c318cd788c438d3aaee |
institution | Directory Open Access Journal |
issn | 1735-3572 |
language | English |
last_indexed | 2024-12-21T07:55:22Z |
publishDate | 2013-01-01 |
publisher | Isfahan University of Technology |
record_format | Article |
series | Journal of Applied Fluid Mechanics |
spelling | doaj.art-836fe26e91cf4c318cd788c438d3aaee2022-12-21T19:11:00ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722013-01-0164473484.Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating SystemGauri Shanker Seth0j.k singhIndian School of Mines, Dhanbad 826004, INDIAUnsteady hydromagnetic Couette flow of class-II of a viscous incompressible electrically conducting fluid in a rotating system with Hall effects in the presence of a uniform transverse magnetic field is studied. Both the fluid and plates of the channel are assumed to be at rest when time and fluid flow within the channel is induced due to non-torsional oscillations of the upper plate in its own plane with a velocity about a non-zero uniform velocity at time . Exact solution of the governing equations is obtained by Laplace transform technique. Asymptotic behavior of the solution is analyzed for small and large values of rotation parameter and magnetic parameter when time t>>1. The numerical values of the fluid velocity are depicted graphically whereas that of shear stress at the plates are presented in tabular form for various values of Hall current parameter , rotation parameter , magnetic parameter and frequency parameter .http://jafmonline.net/JournalArchive/download?file_ID=30942&issue_ID=215MHD Couette flow of class-II Rotation Oscillations Stokes-Ekman boundary layers Modified Ekman boundary layers Hartmann boundary layer. |
spellingShingle | Gauri Shanker Seth j.k singh Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating System Journal of Applied Fluid Mechanics MHD Couette flow of class-II Rotation Oscillations Stokes-Ekman boundary layers Modified Ekman boundary layers Hartmann boundary layer. |
title | Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating System |
title_full | Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating System |
title_fullStr | Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating System |
title_full_unstemmed | Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating System |
title_short | Effects of Hall Current on Unsteady MHD Couette Flow of Class-II in a Rotating System |
title_sort | effects of hall current on unsteady mhd couette flow of class ii in a rotating system |
topic | MHD Couette flow of class-II Rotation Oscillations Stokes-Ekman boundary layers Modified Ekman boundary layers Hartmann boundary layer. |
url | http://jafmonline.net/JournalArchive/download?file_ID=30942&issue_ID=215 |
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