Analytic theory for the linear stability of the Saffman–Taylor finger

DOI10.1063/1.866122zbMath0642.76055OpenAlexW2029296596MaRDI QIDQ3783716

Saleh Tanveer

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.866122

zbMATH Keywords

linear stabilityHele-Shaw cellanalytic theorySaffman-Taylor fingerlimit of zero-surface tensionMc Lean-Saffman branch of solutionsselection of eigenvalues

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (9)

Discrete point spectrum of linear stability operator for Saffman-Taylor bubbles with nonzero surface tension ⋮ A moving boundary problem motivated by electric breakdown. I: Spectrum of linear perturbations ⋮ Plumes in Hele–Shaw cells ⋮ Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. I: Velocity selection ⋮ Singular effects of surface tension in evolving Hele-Shaw flows ⋮ Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges ⋮ Selection of a Hele-Shaw Bubble via Exponential Asymptotics ⋮ Modelling finger propagation in elasto-rigid channels ⋮ Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. II: Stability

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