Theoretical study of flow coupling mechanisms in two-layer Rayleigh-Benard convection

被引：3

作者：

Petry, M ^{[1
]}

Busse, FH ^{[1
]}

机构：

[1] Univ Bayreuth, Inst Phys, D-95440 Bayreuth, Germany

来源：

PHYSICAL REVIEW E | 2003年 / 68卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.68.016305

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Rayleigh-Benard convection in a system of two superimposed immiscible fluids, heated from below, is investigated theoretically. In a two-layer system, stationary convection is characterized by two distinct modes of flow coupling, namely, thermal coupling and viscous coupling. We derive two coupled amplitude equations in order to describe the nonlinear interaction of the viscous and the thermal coupling modes, whereby we restrict our analysis to the two-dimensional case. By analyzing the amplitude equations for varying fluid parameters, we make predictions concerning the stability of the involved coupling modes in the weakly nonlinear regime.

引用

页数：9

共 13 条

[1]

CARDIN P, 1991, J PHYS II, V1, P599, DOI 10.1051/jp2:1991193

[2] NONLINEAR DYNAMIC COUPLING OBSERVED NEAR THE THRESHOLD OF CONVECTION IN A 2-LAYER SYSTEM [J].