Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
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Publication:3811962
DOI10.1063/1.866225zbMath0661.76104OpenAlexW2027708002MaRDI QIDQ3811962
Publication date: 1987
Published in: The Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.866225
Multiphase and multicomponent flows (76T99) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (25)
On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell ⋮ Nonsymmetric Saffman–Taylor fingers ⋮ A moving boundary problem motivated by electric breakdown. I: Spectrum of linear perturbations ⋮ Existence and uniqueness of analytic solution for unsteady crystals with zero surface tension ⋮ Self-dilating viscous fingers in wedge-shaped Hele–Shaw cells ⋮ Theory of stochastic Laplacian growth ⋮ Topographic viscous fingering: fluid–fluid displacement in a channel of non-uniform gap width ⋮ Multiple bubble dynamics and velocity selection in Laplacian growth without surface tension ⋮ Interfacial wave theory for oscillatory finger formation in a Hele–Shaw cell: a comparison with experiments ⋮ Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. I: Velocity selection ⋮ Time-evolving bubbles in two-dimensional Stokes flow ⋮ Extremum principles for selection in the Saffman–Taylor finger and Taylor–Saffman bubble problems ⋮ Rigorous results in existence and selection of Saffman–Taylor fingers by kinetic undercooling ⋮ A computational study of rising plane Taylor bubbles ⋮ Existence and selection of steady bubbles in a Hele-Shaw cell ⋮ Interfacial pattern formation in nonlinear dynamic systems: Dendrites, fingers and interfacial waves by ⋮ The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ Global instability of viscous fingering in a Hele–Shaw cell: formation of oscillatory fingers ⋮ Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell ⋮ Selection of a Hele-Shaw Bubble via Exponential Asymptotics ⋮ Radial fingering in a Hele-Shaw cell: A weakly nonlinear analysis ⋮ Selection in the Saffman-Taylor finger problem and the Taylor-Saffman bubble problem without surface tension ⋮ Laplacian and diffusional growth: A unified theoretical description for symmetrical and parity-broken patterns ⋮ Dynamics and selection of fingering patterns. Recent developments in the Saffman-Taylor problem
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