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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Bibliographic Details
Published in:European physical journal plus 2021-08, Vol.136 (8), p.795, Article 795
Main Authors: Babu, A. Benerji, Rao, N. Venkata Koteswara, Tagare, S. G.
Format: Article
Language:English
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
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Summary: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.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-021-01736-x