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Weakly nonlinear thermohaline convection in a sparsely packed porous medium due to horizontal magnetic field
Thermohaline convection in a sparsely packed porous medium is studied due to horizontal magnetic field, using both linear and weakly nonlinear stability analyses. The Darcy–Lapwood–Brinkman (DLB) model is employed as the momentum equation. In the linear stability analysis, the normal mode technique...
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| Published in: | European physical journal plus 2021-08, Vol.136 (8), p.795, Article 795 |
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| Main Authors: | , , |
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| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c334t-44462c0c8cacd48af37e90512600b496227cc83eb63097812a51b16743ff0f3a3 |
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| container_issue | 8 |
| container_start_page | 795 |
| container_title | European physical journal plus |
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| creator | Babu, A. Benerji Rao, N. Venkata Koteswara Tagare, S. G. |
| description | Thermohaline convection in a sparsely packed porous medium is studied due to horizontal magnetic field, using both linear and weakly nonlinear stability analyses. The Darcy–Lapwood–Brinkman (DLB) model is employed as the momentum equation. In the linear stability analysis, the normal mode technique is used to find the thermal critical Rayleigh number which is a function of
q
,
Da
,
Λ
,
R
2
and
L
. In the weakly nonlinear analysis, a nonlinear two-dimensional Landau–Ginzburg (LG) equation is derived at the onset of stationary convection and the secondary instabilities and heat transport by convection are studied. Coupled one-dimensional LG equations are derived at the onset of oscillatory convection, and the stability regions of steady state, standing waves and travelling waves are studied. |
| doi_str_mv | 10.1140/epjp/s13360-021-01736-x |
| format | article |
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q
,
Da
,
Λ
,
R
2
and
L
. In the weakly nonlinear analysis, a nonlinear two-dimensional Landau–Ginzburg (LG) equation is derived at the onset of stationary convection and the secondary instabilities and heat transport by convection are studied. Coupled one-dimensional LG equations are derived at the onset of oscillatory convection, and the stability regions of steady state, standing waves and travelling waves are studied.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/s13360-021-01736-x</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied and Technical Physics ; Atomic ; Complex Systems ; Condensed Matter Physics ; Convection ; Heat transport ; Magnetic fields ; Mathematical and Computational Physics ; Molecular ; Momentum equation ; Nonlinear analysis ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Porous media ; Rayleigh number ; Regular Article ; Stability analysis ; Standing waves ; Theoretical ; Traveling waves ; Two dimensional analysis</subject><ispartof>European physical journal plus, 2021-08, Vol.136 (8), p.795, Article 795</ispartof><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021</rights><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c334t-44462c0c8cacd48af37e90512600b496227cc83eb63097812a51b16743ff0f3a3</citedby><cites>FETCH-LOGICAL-c334t-44462c0c8cacd48af37e90512600b496227cc83eb63097812a51b16743ff0f3a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Babu, A. Benerji</creatorcontrib><creatorcontrib>Rao, N. Venkata Koteswara</creatorcontrib><creatorcontrib>Tagare, S. G.</creatorcontrib><title>Weakly nonlinear thermohaline convection in a sparsely packed porous medium due to horizontal magnetic field</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>Thermohaline convection in a sparsely packed porous medium is studied due to horizontal magnetic field, using both linear and weakly nonlinear stability analyses. The Darcy–Lapwood–Brinkman (DLB) model is employed as the momentum equation. In the linear stability analysis, the normal mode technique is used to find the thermal critical Rayleigh number which is a function of
q
,
Da
,
Λ
,
R
2
and
L
. In the weakly nonlinear analysis, a nonlinear two-dimensional Landau–Ginzburg (LG) equation is derived at the onset of stationary convection and the secondary instabilities and heat transport by convection are studied. Coupled one-dimensional LG equations are derived at the onset of oscillatory convection, and the stability regions of steady state, standing waves and travelling waves are studied.</description><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Convection</subject><subject>Heat transport</subject><subject>Magnetic fields</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Momentum equation</subject><subject>Nonlinear analysis</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Porous media</subject><subject>Rayleigh number</subject><subject>Regular Article</subject><subject>Stability analysis</subject><subject>Standing waves</subject><subject>Theoretical</subject><subject>Traveling waves</subject><subject>Two dimensional analysis</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqFkFtLAzEQhYMoWLS_wYDPa3PbSx6leIOCL4qPIc3Otml3kzXZldZfb2oFfXNeZgbOOTN8CF1RckOpIDPoN_0sUs4LkhFGM0JLXmS7EzRhVJIsF0Kc_pnP0TTGDUklJBVSTFD7Bnrb7rHzrrUOdMDDGkLn1_qwYuPdB5jBeoetwxrHXocISd9rs4Ua9z74MeIOajt2uB4BDx6vfbCf3g26xZ1eORiswY2Ftr5EZ41uI0x_-gV6vb97mT9mi-eHp_ntIjOciyFLjxbMEFMZbWpR6YaXIElOWUHIUsiCsdKYisOy4ESWFWU6p0talII3DWm45hfo-pjbB_8-QhzUxo_BpZOKSSoToryUSVUeVSb4GAM0qg-202GvKFEHuupAVx3pqkRXfdNVu-Ssjs6YHG4F4Tf_P-sXtGiCuA</recordid><startdate>20210801</startdate><enddate>20210801</enddate><creator>Babu, A. 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q
,
Da
,
Λ
,
R
2
and
L
. In the weakly nonlinear analysis, a nonlinear two-dimensional Landau–Ginzburg (LG) equation is derived at the onset of stationary convection and the secondary instabilities and heat transport by convection are studied. Coupled one-dimensional LG equations are derived at the onset of oscillatory convection, and the stability regions of steady state, standing waves and travelling waves are studied.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/s13360-021-01736-x</doi></addata></record> |
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| language | eng |
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| subjects | Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Convection Heat transport Magnetic fields Mathematical and Computational Physics Molecular Momentum equation Nonlinear analysis Optical and Plasma Physics Physics Physics and Astronomy Porous media Rayleigh number Regular Article Stability analysis Standing waves Theoretical Traveling waves Two dimensional analysis |
| title | Weakly nonlinear thermohaline convection in a sparsely packed porous medium due to horizontal magnetic field |
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