Inertial corrections to the Darcy law in a Hele–Shaw cell

DOI10.1016/S1620-7742(01)01309-5zbMath0999.76044MaRDI QIDQ2745629

C. Ruyer-Quil

Publication date: 5 December 2002

Published in: Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics (Search for Journal in Brave)

zbMATH Keywords

polynomial approximationmethod of weighted residualsDarcy lawvelocity fieldHele-Shaw cellperturbative methodshear instabilityinertial corrections

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (8)

Qualitative behaviour of solutions in two models of thin liquid films ⋮ Levitation of non-magnetizable droplet inside ferrofluid ⋮ Theoretical analysis on the onset of buoyancy-driven instability of horizontal interfaces between miscible fluids in a Hele-Shaw cell ⋮ A revised gap-averaged Floquet analysis of Faraday waves in Hele-Shaw cells ⋮ Perturbative corrections for the scaling of heat transport in a Hele-Shaw geometry and its application to geological vertical fractures ⋮ Marangoni instability triggered by selective evaporation of a binary liquid inside a Hele-Shaw cell ⋮ Extended classification of the buoyancy-driven flows induced by a neutralization reaction in miscible fluids. Part 2. Theoretical study ⋮ Sloshing in a Hele-Shaw cell: experiments and theory

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