A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM

From MaRDI portal
Publication:3266250

DOI10.1093/qjmam/12.3.265zbMath0091.18502OpenAlexW2023269164MaRDI QIDQ3266250

Philip G. Saffman, G. I. Taylor

Publication date: 1959

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/12.3.265




Related Items

Discrete point spectrum of linear stability operator for Saffman-Taylor bubbles with nonzero surface tensionInclusion shaping and extremal property of the Taylor-Saffman bubbleRotation invariance for steady Hele–Shaw flowsOn the motion of unsteady translating bubbles in an unbounded Hele-Shaw cellNonsymmetric Saffman–Taylor fingersThe shape and motion of gas bubbles in a liquid flowing through a thin annulusBubble rise in a Hele-Shaw cell: bridging the gap between viscous and inertial regimesThe role of added mass in the theory of Hele-Shaw cell bubblesInfinite stream of Hele–Shaw bubblesComplex variable methods in Hele–Shaw moving boundary problemsPrinciple of minimum energy dissipation rate in steady Hele-Shaw flowsThe interaction of multiple bubbles in a Hele-Shaw channelTopography of the lubrication film under a pancake droplet travelling in a Hele-Shaw cellApproximate solutions to droplet dynamics in Hele-Shaw flowsPenguin huddling: a continuum modelA pancake droplet translating in a Hele-Shaw cell: lubrication film and flow fieldAnalytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. I: Velocity selectionExtremum principles for selection in the Saffman–Taylor finger and Taylor–Saffman bubble problemsRigorous results in existence and selection of Saffman–Taylor fingers by kinetic undercoolingPrediction of bubble velocity in a Hele–Shaw cell: Thin film and contact angle effectsCONFORMAL SLIT MAPS IN APPLIED MATHEMATICSViscous fingering as a paradigm of interfacial pattern formation: Recent results and new challengesMiscible droplets in a porous medium and the effects of Korteweg stressesExistence and selection of steady bubbles in a Hele-Shaw cellBubbles in a Hele–Shaw cell: Numerical simulation of three-dimensional effectsMultiple steady bubbles in a Hele-Shaw cellThe effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cellThe influence of invariant solutions on the transient behaviour of an air bubble in a Hele-Shaw channelRetarded motion of bubbles in Hele–Shaw cellsMultiple bubbles and fingers in a Hele-Shaw channel: complete set of steady solutionsAnalytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cellVariational finite element methods for waves in a Hele-Shaw tankNonexistence of classical steady Hele-Shaw bubbleSelection of a Hele-Shaw Bubble via Exponential AsymptoticsSelection in the Saffman-Taylor finger problem and the Taylor-Saffman bubble problem without surface tensionDoubly periodic array of bubbles in a Hele-Shaw cellModelling finger propagation in elasto-rigid channelsLaplacian and diffusional growth: A unified theoretical description for symmetrical and parity-broken patternsSensitivity of Saffman–Taylor fingers to channel-depth perturbationsBifurcations of drops and bubbles propagating in variable-depth Hele-Shaw channelsFilm thickness distribution in gravity-driven pancake-shaped droplets rising in a Hele-Shaw cellMultiple steadily translating bubbles in a Hele-Shaw channelGeneralised Hele-Shaw flow: A Schwarz function approachInstability of the displacement fronts of non-Newtonian fluids in a Hele-Shaw cellAnalytical solutions of seepage theory problems. Inverse method, variational theorems, optimization and estimates (a review)Integrability-preserving regularizations of Laplacian GrowthDynamics of a high-Reynolds-number bubble rising within a thin gapHele–Shaw flows with a free boundary produced by multipolesUnnamed Item