Stability of Hele–Shaw flows: The wetting-layer effect

Publisher Website
Google Scholar
Abstract
The classical viscous instability calculation of Chouke et al. [Trans. AIME 2 1 6, 188 (1959)], further clarified by Saffman and Taylor [Proc. R. Soc. London, Ser. A 2 4 5, 312 (1958)] in the context of flow in a Hele–Shaw cell, is reconsidered and the importance of the wetting condition and the associated interfacial pressure jump is established. Important qualitative changes appear in the resulting dispersion relation when this effect is included. The wavelength of maximum growth is increased and the growth rate is reduced, however, the critical wavelength for instability remains unchanged. Comparison of the theoretical results with some recent experiments appears to provide support for the new effect.

This publication has 10 references indexed in Scilit: