Nonlinear Stability of Natural Convection in an Inclined Fluid Layer

被引：0

作者：

Arora M. ^{[1
]}

Singh J. ^{[2
]}

Bajaj R. ^{[1
]}

机构：

[1] Centre for Advanced Study in Mathematics, Panjab University Chandigarh, Chandigarh

[2] Department of Mathematics, Guru Nanak Dev University Amritsar, Amritsar

来源：

International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 1期

关键词：

Energy method; Inclined fluid layer; Nonlinear stability; Viscous fluid;

D O I：

10.1007/s40819-020-0780-2

中图分类号：

学科分类号：

摘要：

A nonlinear stability analysis of convection in an inclined layer of a viscous, incompressible fluid is carried out using energy method. The nonlinear stability boundary determined by the Rayleigh number Ra for the underlying dynamical system is found to depend upon the inclination of the layer with respect to the horizontal and Prandtl number of the fluid. A comparison with the linear instability boundary for the considered hydrodynamic system indicates a parametric region where the nonlinear stability of the basic flow is uncertain. © 2020, Springer Nature India Private Limited.

引用

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