The Onset of Darcy–Forchheimer Convection in Inclined Porous Layers Heated from Below |
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Authors: | D A S Rees A Postelnicu L Storesletten |
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Institution: | (1) Department of Mechanical Engineering, University of Bath, Claverton Down, Bath, BA2 7AY, U.K.;(2) Department of Thermal Engineering and Fluid Mechanics, Transilvania University, Brasov, 500036, Romania;(3) Department of Mathematics, Agder University College, Serviceboks 422, 4604 Kristiandsand, Norway |
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Abstract: | 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. |
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Keywords: | convection inclined porous layer form drag linear instability |
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