New exact solutions for Hele-Shaw flow in doubly connected regions
From MaRDI portal
Publication:5246658
DOI10.1063/1.4711274zbMath1309.76080OpenAlexW2006877204WikidataQ58484768 ScholiaQ58484768MaRDI QIDQ5246658
Scott W. McCue, Michael Charles Dallaston
Publication date: 21 April 2015
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://eprints.qut.edu.au/49749/4/49749.pdf
PDEs in connection with fluid mechanics (35Q35) Solutions to PDEs in closed form (35C05) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell ⋮ Hele-Shaw flow with a small obstacle ⋮ 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 ⋮ Multiple bubbles and fingers in a Hele-Shaw channel: complete set of steady solutions ⋮ Multiple steadily translating bubbles in a Hele-Shaw channel ⋮ Corner and finger formation in Hele-Shaw flow with kinetic undercooling regularisation ⋮ MOVING STONE IN THE HELE‐SHAW FLOW
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The effect of finiteness in the Saffman-Taylor viscous fingering problem
- Quadrature domains and \(p\)-Laplacian growth
- Removing the stiffness from interfacial flows with surface tension
- Radial fingering in a Hele-Shaw cell: A weakly nonlinear analysis
- A rescaling scheme with application to the long-time simulation of viscous fingering in a Hele-Shaw cell
- Bubble break-off in Hele--Shaw flows -- singularities and integrable structures
- Numerical experiments on Hele Shaw flow with a sharp interface
- Contracting bubbles in Hele-Shaw cells with a power-law fluid
- On the breakup of air bubbles in a Hele-Shaw cell
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Cusp Development in Hele–Shaw Flow with a Free Surface
- Fingering in Hele-Shaw cells
- Bubble growth in porous media and Hele–Shaw cells
- Some Hele Shaw flows with time-dependent free boundaries
- BUBBLE CONTRACTION IN HELE-SHAW CELLS
- On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows
- Hele–Shaw flows with time-dependent free boundaries in which the fluid occupies a multiply-connected region
- Theory of exact solutions for the evolution of a fluid annulus in a rotating Hele-Shaw cell
- Extinction Behaviour of Contracting Bubbles in Porous Media
- Hele–Shaw flow with a point sink: generic solution breakdown
- Hele–Shaw flows with free boundaries driven along infinite strips by a pressure difference
- Extinction behaviour for two–dimensional inward-solidification problems