Long waves in parallel flow in Hele-Shaw cells
- 9 September 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 67 (11) , 1430-1433
- https://doi.org/10.1103/physrevlett.67.1430
Abstract
The evolution of fluid interfaces in parallel flow in Hele-Shaw cells is studied theoretically and experimentally in the limit of large capillary number. It is shown that such interfaces support wave motion, the amplitude of which for long waves is governed by a set of Korteweg–de Vries and Airy equations. Experiments conducted in a long Hele-Shaw cell validate the theory in the symmetric case.Keywords
This publication has 14 references indexed in Scilit:
- Geometric dispersion and unstable flow in porous mediaPhysical Review A, 1990
- Flow through porous media: limits of fractal patternsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1989
- FractalsPublished by Springer Nature ,1988
- Viscous Fingering in Porous MediaAnnual Review of Fluid Mechanics, 1987
- Viscous flows in two dimensionsReviews of Modern Physics, 1986
- Shape Selection of Saffman-Taylor FingersPhysical Review Letters, 1986
- Velocity Selection and the Saffman-Taylor ProblemPhysical Review Letters, 1986
- Numerical experiments on Hele Shaw flow with a sharp interfaceJournal of Fluid Mechanics, 1983
- Radial fingering in a Hele Shaw cellJournal of Fluid Mechanics, 1981
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquidProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958