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

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• 作者：N. Deepika ; P. A. L. Narayana
• 关键词：Double ; diffusive convection ; Nonlinear stability ; Concentration based internal heat source ; Vertical throughflow ; Porous medium
• 刊名：Transport in Porous Media
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：111
• 期：3
• 页码：751-762
• 全文大小：710 KB
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• 作者单位：N. Deepika (1)
  P. A. L. Narayana (1)
  
  1. Department of Mathematics, IIT Hyderabad, Kandi, 502285, Telangana, India
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634

文摘

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.