Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid

Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid

The thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid in the presence of uniform vertical magnetic field is considered. For the case of stationary convection, Rivlin-Ericksen viscoelastic fluid behaves like a Newtonian fluid. It is found that rotation has a stabilizing effect, whe...

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Main Authors: Pardeep Kumar, Hari Mohan, Roshan Lal
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/28042
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spelling doaj-dee7fdda442246bb9572b5d3586008e22020-11-24T21:12:34ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2804228042Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluidPardeep Kumar0Hari Mohan1Roshan Lal2Department of Mathematics, International Centre for Distance Education and Open Learning (ICDEOL), Himachal Pradesh University, Shimla 171005, IndiaDepartment of Mathematics, International Centre for Distance Education and Open Learning (ICDEOL), Himachal Pradesh University, Shimla 171005, IndiaDepartment of Mathematics, International Centre for Distance Education and Open Learning (ICDEOL), Himachal Pradesh University, Shimla 171005, IndiaThe thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid in the presence of uniform vertical magnetic field is considered. For the case of stationary convection, Rivlin-Ericksen viscoelastic fluid behaves like a Newtonian fluid. It is found that rotation has a stabilizing effect, whereas the magnetic field has both stabilizing and destabilizing effects. Graphs have been plotted by giving numerical values to the parameters, to depict the stability characteristics. The rotation and magnetic field are found to introduce oscillatory modes in the system which were nonexistent in their absence.http://dx.doi.org/10.1155/IJMMS/2006/28042
collection DOAJ
language English
format Article
sources DOAJ
author Pardeep Kumar
Hari Mohan
Roshan Lal
spellingShingle Pardeep Kumar
Hari Mohan
Roshan Lal
Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid
International Journal of Mathematics and Mathematical Sciences
author_facet Pardeep Kumar
Hari Mohan
Roshan Lal
author_sort Pardeep Kumar
title Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid
title_short Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid
title_full Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid
title_fullStr Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid
title_full_unstemmed Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid
title_sort effect of magnetic field on thermal instability of a rotating rivlin-ericksen viscoelastic fluid
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2006-01-01
description The thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid in the presence of uniform vertical magnetic field is considered. For the case of stationary convection, Rivlin-Ericksen viscoelastic fluid behaves like a Newtonian fluid. It is found that rotation has a stabilizing effect, whereas the magnetic field has both stabilizing and destabilizing effects. Graphs have been plotted by giving numerical values to the parameters, to depict the stability characteristics. The rotation and magnetic field are found to introduce oscillatory modes in the system which were nonexistent in their absence.
url http://dx.doi.org/10.1155/IJMMS/2006/28042
work_keys_str_mv AT pardeepkumar effectofmagneticfieldonthermalinstabilityofarotatingrivlinericksenviscoelasticfluid
AT harimohan effectofmagneticfieldonthermalinstabilityofarotatingrivlinericksenviscoelasticfluid
AT roshanlal effectofmagneticfieldonthermalinstabilityofarotatingrivlinericksenviscoelasticfluid
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