Sharp global nonlinear stability for a fluid overlying a highly porous material

DOI10.1098/rspa.2009.0322zbMath1195.76380OpenAlexW2149680418MaRDI QIDQ4931000

Magda Carr, Antony A. Hill

Publication date: 2 October 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10023/3399

zbMATH Keywords

energy methodtemperature-dependent viscositysuperposed porous-fluid convection

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05)

Related Items (7)

Horizontally isotropic bidispersive thermal convection ⋮ Magnetic effect on instability and nonlinear stability in a reacting fluid ⋮ Double-diffusive convection induced by selective absorption of radiation in a fluid overlying a porous layer ⋮ A nonlinear stability analysis of a rotating double-diffusive magnetized ferrofluid ⋮ Finite Amplitude Analysis of Poiseuille Flow in Fluid Overlying Porous Domain ⋮ Structure of the dependence of Darcy and Forchheimer coefficients on porosity ⋮ Convection in a Coupled Free Flow-Porous Media System

Cites Work

• Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
• Nonlinear stability analysis of the Bénard problem for fluids with a convex nonincreasing temperature depending viscosity
• Global stability for thermal convection in a fluid overlying a highly porous material

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