Nonlinear Stability of Double-diffusive Convection in a Porous Layer with Throughflow and Concentration based Internal Heat Source

被引：13

作者：

Deepika, N. ^{[1
]}

Narayana, P. A. L. ^{[1
]}

机构：

[1] IIT Hyderabad, Dept Math, Kandi 502285, Telangana, India

来源：

TRANSPORT IN POROUS MEDIA | 2016年 / 111卷 / 03期

关键词：

Double-diffusive convection; Nonlinear stability; Concentration based internal heat source; Vertical throughflow; Porous medium; INCLINED TEMPERATURE-GRADIENT; GLOBAL STABILITY; SOLUTAL GRADIENTS; MEDIA;

D O I：

10.1007/s11242-016-0626-x

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

In this study, nonlinear stability analysis of double-diffusive convection in a horizontal fluid saturated porous layer has been investigated. Concentration based internal heat source and vertical throughflow effects are considered during investigation. Energy method has been implemented to develop the nonlinear stability analysis. Runge-Kutta and shooting methods have been used to solve the eigenvalue problem. Critical thermal Rayleigh number is obtained for assigned values of governing parameters. Results of linear and nonlinear theories have been compared. It is observed that for downward throughflow, when Peclet number Pe is high, the effect of concentration based internal heat source gamma is insignificant.

引用

页码：751 / 762

页数：12

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