The onset of Darcy-Forchheimer convection in inclined porous layers heated from below
Rees, D. A. S., Postelnicu, A. and Storesletten, L., 2006. The onset of Darcy-Forchheimer convection in inclined porous layers heated from below. Transport in Porous Media, 64 (1), pp. 15-23.
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It is well known that the onset of convection in an inclined porous layer heated from below takes the form of longitudinal vortices when Darcy's law is valid. In this paper we consider briefly how the onset criterion alters when form drag, as modelled by the Forchheimer terms, is significant. In general, the critical Rayleigh number increases substantially as form drag effects strengthen, but the wavenumber rises by only a small amount. This numerical study is supplemented by a brief asymptotic analysis of the case when the Forchheimer terms dominate and it is shown that the critical Rayleigh number increases in direct proportion with the form drag parameter. © Springer 2006.
|Creators||Rees, D. A. S., Postelnicu, A. and Storesletten, L.|
|Uncontrolled Keywords||mathematical models, heating, heat convection, asymptotic stability, vortex flow, porous materials, drag|
|Departments||Faculty of Engineering & Design > Mechanical Engineering|
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