Container geometry and the transition to unsteady Bénard convection in porous media

DOI10.1063/1.865687zbMath0593.76050OpenAlexW2019538549MaRDI QIDQ3723960

Paul H. Steen

Publication date: 1986

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.865687

zbMATH Keywords

eigenfunction expansionfluid-saturated porous medianonlinear interactionsclosed-form dependence on geometrycontainer of fluid-saturated porous materialconvection in three- dimensional boxesconvective nonlinearity forcesinteraction of finite-amplitude convection patternsRayleigh-Bénard problem at high Prandtl numbertransitions to time-periodic motionsweakly nonlinear regime for boxes

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Flows in porous media; filtration; seepage (76S05) Basic methods in fluid mechanics (76M99)

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Uses Software

• MACSYMA

Cites Work

• Unnamed Item
• Asymptotic Methods for Bifurcation and Stability Problems