Onset of Darcy-Benard convection using a thermal non-equilibrium model
Banu, N. and Rees, D. A. S., 2002. Onset of Darcy-Benard convection using a thermal non-equilibrium model. International Journal of Heat and Mass Transfer, 45 (11), pp. 2221-2228.
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In this paper we used a two-field model for the separate modelling of the solid and fluid phase temperature fields in a fluid-saturated porous medium, and, in particular, we consider how the onset criterion for convection in a horizontal layer is affected by the adoption of such a model. In general we find that both the critical Rayleigh number and wavenumber are modified by the presence of thermal non-equilibrium effects. It is shown that the well-known result of Lapwood [Proc. Cambridge Philos. Soc. 44 (1948) 508] which corresponds to local thermal equilibrium (LTE), is recovered when taking the thermal equilibrium limit of the non-equilibrium analysis. We also present asymptotic solutions for both small and large values of H the inter-phase heat transfer coefficient, H, and compare this with the numerical solutions. For intermediate values of H we find that the critical wavenumber is always larger than π, the critical value for the LTE case. In some cases this critical wavenumber may be very large compared with π. © 2002 Published by Elsevier Science Ltd.
|Creators||Banu, N.and Rees, D. A. S.|
|Uncontrolled Keywords||mathematical models,heat convection,asymptotic stability,heat transfer coefficients,porous materials,thermal effects|
|Departments||Faculty of Engineering & Design > Mechanical Engineering|
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