THE ONSET OF CONVECTION IN A ROTATING MULTICOMPONENT FLUID LAYER

被引：1

作者：

Prakash, Jyoti ^{[1
]}

Singh, Virender ^{[1
]}

Kumar, Rajeev ^{[1
]}

Kumari, Kultaran ^{[1
]}

机构：

[1] Himachal Pradesh Univ, Dept Math & Stat, Shimla, India

来源：

JOURNAL OF THEORETICAL AND APPLIED MECHANICS | 2016年 / 54卷 / 02期

关键词：

multicomponent convection; principle of exchange of stabilities; oscillatory motions; complex growth rate; concentration Rayleigh number; Lewis number; TRIPLE DIFFUSIVE CONVECTION; NONOSCILLATORY MOTIONS; INSTABILITY; GROWTH; PERTURBATION; COMPONENT; BOUNDS;

D O I：

10.15632/jtam-pl.54.2.477

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The onset of convective instability is analysed in a rotating multicomponent fluid layer in which density depends on n stratifying agents (one of them is heat) having different. diffusivities. Two problems have been analysed mathematically. In the first problem, a sufficient condition is derived for the validity of the principle of the exchange of stabilities. Further, when the complement or this condition holds good, oscillatory motions of neutral or growing amplitude can exist, and thus it is important to derive upper bounds for the complex growth rate of such motions when at least one of the bounding surfaces is rigid so that exact solutions of the problem in closed form are riot obtainable. Thus, as the second problem, bounds for the complex growth rates are also obtained. Above results are uniformly valid for quite general nature of the bounding surfaces.

引用

页码：477 / 488

页数：12

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