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

被引：0
作者：
N. Deepika
P. A. L. Narayana
机构：
[1] IIT Hyderabad,Department of Mathematics
来源：
Transport in Porous Media | 2016年 / 111卷
关键词：
Double-diffusive convection; Nonlinear stability; Concentration based internal heat source; Vertical throughflow ; Porous medium;
D O I：
暂无
中图分类号：
学科分类号：
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 γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\gamma $$\end{document} is insignificant.
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页码：751 / 762
页数：11
相关论文
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