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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Main Authors: Gauri Shanker Seth, j.k singh
Format: Article
Language:English
Published: Isfahan University of Technology 2013-01-01
Series:Journal of Applied Fluid Mechanics
Subjects:
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 .
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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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