Selection in the Saffman-Taylor finger problem and the Taylor-Saffman bubble problem without surface tension

DOI10.1016/S0893-9659(98)00103-7zbMath0977.76509MaRDI QIDQ1808580

A. P. Aldushin, Bernard J. Matkowsky

Publication date: 15 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

porous mediumsurface tensionSaffman-Taylor problemfrontHele-Shaw configurationpropagating bubblespropagating fingers

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (4)

Traveling Waves in a Reaction-Diffusion System Describing Smoldering Combustion ⋮ Multiple bubble dynamics and velocity selection in Laplacian growth without surface tension ⋮ Ignition and combustion of low-exothermicity porous materials by a local hotspot ⋮ Selection in the Saffman-Taylor finger problem and the Taylor-Saffman bubble problem without surface tension

Cites Work

• Unnamed Item
• Selection in the Saffman-Taylor finger problem and the Taylor-Saffman bubble problem without surface tension
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM
• A boundary-integral method for two-phase displacement in Hele-Shaw cells
• Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
• The effect of surface tension on the shape of fingers in a Hele Shaw cell

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