Publication de 12 numéros par an
ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508
Indexed in
NONLINEAR THERMOHALINE MAGNETOCONVECTION IN A SPARSELY PACKED POROUS MEDIUM
RÉSUMÉ
The Darcy-Lapwood-Brinkman model with the Boussinesq approximation is used to study the linear and nonlinear stability analysis and obtain the conditions for the occurrence of various types of bifurcations, viz., Pitchfork bifurcation, Hopf bifurcation, and Takens-Bogdanov bifurcation points. We have used stress-free boundary conditions and derived a nonlinear two-dimensional Landau-Ginzburg equation with real coefficients at the supercritical pitchfork bifurcation and discussed the effect of Nusselt number on the heat transport by convection. We have shown the occurrence of secondary instabilities such as Eckhaus and Zigzag instabilities. We also derive two coupled one-dimensional Landau-Ginzburg type equations with complex coefficients near the onset of oscillatory convection at supercritical Hopf bifurcation and discussed traveling and standing wave convection.
-
Prakash Jyoti, Singh Virender, Manan Shweta, On the limitations of linear growth rates in triply diffusive convection in porous medium, Journal of the Association of Arab Universities for Basic and Applied Sciences, 22, 1, 2017. Crossref
-
Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2017. Crossref
-
Ravi Ragoju, Kanchana C., Janardhana Reddy G., Basha Hussain, Study of Soret and Dufour effects and secondary instabilities on Rayleigh-Bénard convection in a couple stress fluid, The European Physical Journal Plus, 133, 12, 2018. Crossref
-
Benerji Babu Avula, Reddy G. Shiva Kumar, Tagare Suhas G., Nonlinear magnetoconvection in a rotating fluid due to thermal and compositional buoyancy with anisotropic diffusivities, Heat Transfer-Asian Research, 49, 1, 2020. Crossref
-
Avula Benerji Babu, N Venkata Koteswara Rao, S.G. Tagare, Instabilities of horizontal magnetoconvection with rotating fluid in a sparsely packed porous media, Heat Transfer-Asian Research, 48, 7, 2019. Crossref
-
Babu A. Benerji, Rao N. Venkata Koteswara, Tagare S. G., Weakly nonlinear thermohaline convection in a sparsely packed porous medium due to horizontal magnetic field, The European Physical Journal Plus, 136, 8, 2021. Crossref