Bubble growth in a Hele-Shaw cell

DOI10.1134/S0015462807020111zbMath1200.76051WikidataQ126211101 ScholiaQ126211101MaRDI QIDQ605833

M. M. Alimov

Publication date: 25 November 2010

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

free boundary problemsHele-Shaw problemSaffman-Taylor instability

Mathematics Subject Classification ID

Complex variables methods applied to problems in fluid mechanics (76M40) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items

Unsteady motion of a bubble in a Hele-Shaw cell ⋮ Evolution of the boundary of a viscous fluid occupying a half-space type domain in a Hele-Shaw slot ⋮ Exact solution of the Muskat-Leibenzon problem for a growing elliptic bubble ⋮ Competition between fingers in Hele-Shaw flows

Cites Work

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• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Fingering in Hele-Shaw cells
• Complex variable methods in Hele–Shaw moving boundary problems
• On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows
• On bubble rising in a Hele–Shaw cell filled with a non-Newtonian fluid