The onset of Darcy-Bénard convection in an inclined layer heated from below

DOI10.1007/BF01181831zbMath0958.76024OpenAlexW2059709231MaRDI QIDQ1591132

Andrew P. Bassom, D. Andrew S. Rees

Publication date: 9 April 2001

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01181831

zbMATH Keywords

critical Rayleigh numberasymptotic analysislinear instabilitylarge Rayleigh numberDarcy-Boussinesq convectionmaximum inclinationtwo-dimensional instabilityuniform unstably stratified porous layer

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Convection in hydrodynamic stability (76E06)

Related Items (15)

Thermal convection in an inclined porous layer with Brinkman law ⋮ The onset of longitudinal vortices in mixed convection flow over an inclined surface in a porous medium with variable permeability ⋮ Dissolution-driven convection in a heterogeneous porous medium ⋮ Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source ⋮ Dynamic of rotating fluid layers: \(L^2\)-absorbing sets and onset of convection ⋮ Variable permeability effect on vortex instability of mixed convection flow in a semi-infinite porous medium bounded by a horizontal surface. ⋮ The Horton–Rogers–Lapwood problem for an inclined porous layer with permeable boundaries ⋮ Linear and nonlinear thermosolutal instabilities in an inclined porous layer ⋮ Vigorous convection in porous media ⋮ Thermoconvective instabilities in an inclined porous channel heated from below ⋮ The onset of convection in porous layers with multiple horizontal partitions ⋮ Unstable mixed convection in a heated inclined porous channel ⋮ Inclined convection in a porous Brinkman layer: linear instability and nonlinear stability ⋮ Inclined porous medium convection at large Rayleigh number ⋮ Buoyancy-driven instabilities of partially miscible fluids in inclined porous media

Cites Work

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• The effects of boundary imperfections on convection in a saturated porous layer: non-resonant wavelength excitation
• Convection in Porous Media
• A proof that convection in a porous vertical slab is stable
• Natural convection in a sloping porous layer
• On steady convection in a porous medium
• Convection Currents in a Porous Medium

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