Plume formation and resonant bifurcations in porous-media convection

DOI10.1017/S0022112094004386zbMath0925.76735MaRDI QIDQ4318524

Michael D. Graham, Paul H. Steen

Publication date: 8 November 1999

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Flows in porous media; filtration; seepage (76S05) Free convection (76R10)

Related Items (17)

Structure and stability of steady porous medium convection at large Rayleigh number ⋮ Numerical simulation of thermal convection of a viscoelastic fluid in a porous square box heated from below ⋮ Strong Rayleigh–Darcy convection regime in three-dimensional porous media ⋮ Low-dimensional models from upper bound theory ⋮ Reduced modeling of porous media convection in a minimal flow unit at large Rayleigh number ⋮ Upper bounds on the heat transport in a porous layer ⋮ A 2D model for heat transport in a Hele-Shaw geometry ⋮ Convective shutdown in a porous medium at high Rayleigh number ⋮ Vigorous convection in porous media ⋮ Pattern dynamics in a Bénard-Marangoni convection experiment ⋮ Asymptotic behaviour of heat transfer in two-dimensional turbulent convection with high-porosity fluid-saturated media ⋮ Inclined porous medium convection at large Rayleigh number ⋮ Mixing across fluid interfaces compressed by convective flow in porous media ⋮ Stability and dynamics of convection in dry salt lakes ⋮ Towards the ultimate regime in Rayleigh–Darcy convection ⋮ The near-field shape and stability of a porous plume ⋮ Stability of columnar convection in a porous medium

Cites Work

• Strongly interacting traveling waves and quasiperiodic dynamics in porous medium convection
• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• An improved pseudospectral method for initial-boundary value problems
• Container geometry and the transition to unsteady Bénard convection in porous media
• Route to chaos in porous-medium thermal convection
• Time-periodic convection in porous media: transition mechanism
• A boundary-layer model of flow in a porous medium at high Rayleigh number

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