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.
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This paper was recommended for publication in revised form by Associate Editor Jae Dong Chung
I. S. Shivakumara received his M.Sc., and M.Phil., degrees in Mathematics from the Bangalore University, Bangalore, Karnataka State, India in 1979 and 1982, respectively. He received his PhD degree from the same university in 1986. He is presently working as Professor of Mathematics at Bangalore University, Bangalore. His research and teaching interests include Fluid Mechanics, Magnetohydrodynamics, Convection in Porous Media, Differential Equations and Numerical Analysis. He is a Fellow of National Academy of Sciences, India.
**ho Lee received his B.S. and M.S. degrees in Mechanical Engineering from the Yonsei University, Seoul, Korea in 1974 and 1976, respectively. He received his PhD degree from the Case Western Reserve University in 1982. He is presently working as Professor of Mechanical Engineering at Yonsei university. His research interests include Heat and Mass transfer in a Body Force Field, Convection in Porous Media, Convection Instability, Heating and Cooling related to Energy Saving System and Loop Heat Pipe.
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Shivakumara, I.S., Lee, J., Mamatha, A.L. et al. Boundary and thermal non-equilibrium effects on convective instability in an anisotropic porous layer. J Mech Sci Technol 25, 911–921 (2011). https://doi.org/10.1007/s12206-011-0137-1
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DOI: https://doi.org/10.1007/s12206-011-0137-1