Journal of Mechanical Science and Technology

, Volume 25, Issue 4, pp 911–921 | Cite as

Boundary and thermal non-equilibrium effects on convective instability in an anisotropic porous layer

  • I. S. Shivakumara
  • Jinho Lee
  • A. L. Mamatha
  • M. Ravisha
Article
First Online:
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Abstract

The effects of boundary and local thermal non-equilibrium on the criterion for the onset of convection in a sparsely packed horizontal anisotropic porous layer are investigated. A two-field temperature model each representing the solid and fluid phases separately is used and the flow in the porous medium is described by the Brinkman extended-Darcy model. The lower boundary is rigid, while the upper boundary is considered to be either rigid or free with fixed temperature conditions at the boundaries. The stability equations are solved numerically using the Galerkin method to extract the critical stability parameters. The influence of local thermal non-equilibrium, mechanical and thermal anisotropy parameters representing the fluid and solid phases is assessed on the stability characteristics of the system. The existing results are obtained as limiting cases from the present study.

Keywords

Brinkman model Convection Anisotropic porous medium Thermal non-equilibrium model 
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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • I. S. Shivakumara
    • 1
  • Jinho Lee
    • 2
  • A. L. Mamatha
    • 3
  • M. Ravisha
    • 3
  1. 1.UGC-CAS in Fluid mechanics, Department of MathematicsBangalore UniversityBangaloreIndia
  2. 2.School of Mechanical EngineeringYonsei UniversitySeoulKorea
  3. 3.Department of MathematicsSmt. Rukmini Shedthi Memorial National Government First Grade CollegeBarkurIndia

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