NONLINEAR THERMOHALINE MAGNETOCONVECTION IN A SPARSELY PACKED POROUS MEDIUM

被引：7

作者：

Babu, A. Benerji ^{[1
]}

Ravi, Ragoju ^{[2
]}

Tagare, S. G. ^{[3
]}

机构：

[1] Natl Inst Technol Warangal, Dept Math, Warangal 506004, Andhra Pradesh, India

[2] Natl Inst Technol Goa, Dept Humanities & Sci, Ponda 403401, Goa, India

[3] Disha Inst Management & Technol, Raipur 492101, Madhya Pradesh, India

来源：

JOURNAL OF POROUS MEDIA | 2014年 / 17卷 / 01期

关键词：

convection; bifurcation points; Landau-Ginzburg type equations; secondary instabilities; Nusselt number; stability regions of standing and travelling waves; DOUBLE-DIFFUSIVE CONVECTION; OSCILLATORY CONVECTION; TRICRITICAL BEHAVIOR; INSTABILITY; STEADY; FLOW;

D O I：

10.1615/JPorMedia.v17.i1.30

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：31 / 57

页数：27

共 36 条

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