Stability of bubbles in a Hele–Shaw cell
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Publication:3777734
DOI10.1063/1.866106zbMath0636.76117OpenAlexW2058874093MaRDI QIDQ3777734
Saleh Tanveer, Philip G. Saffman
Publication date: 1987
Published in: The Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.866106
linear stabilitycontinuous spectrumsurface tensionHele-Shaw cellsteadily moving bubblesMcLean-Saffman fingerRomero-Vanden-Broeck finger solutions
Multiphase and multicomponent flows (76T99) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)
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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 ⋮ The shape and motion of gas bubbles in a liquid flowing through a thin annulus ⋮ A theoretical study of two-phase flow through a narrow gap with a moving contact line: viscous fingering in a Hele-Shaw cell ⋮ The interaction of multiple bubbles in a Hele-Shaw channel ⋮ Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. I: Velocity selection ⋮ Miscible droplets in a porous medium and the effects of Korteweg stresses ⋮ Complex bubble dynamics in a vertical Hele-Shaw cell ⋮ Bubbles in a Hele–Shaw cell: Numerical simulation of three-dimensional effects ⋮ Dynamics and stability of air bubbles in a porous medium ⋮ The influence of invariant solutions on the transient behaviour of an air bubble in a Hele-Shaw channel ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ The stability of a two-dimensional rising bubble ⋮ Selection of a Hele-Shaw Bubble via Exponential Asymptotics ⋮ Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. II: Stability ⋮ Bifurcations of drops and bubbles propagating in variable-depth Hele-Shaw channels ⋮ The life and fate of a bubble in a geometrically perturbed Hele-Shaw channel
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