Recent Results of Experiments with Saffman-Taylor Flow
In this paper we summarize our recent work on the viscous fingering probleml,2. In its initially planar form, Saffman-Taylor flow3, viscous fingering represents the simplest of pattern formation problems. Thus the observation of its details provides a valuable opportunity for direct testing of the computer calculations which are now just becoming feasible for pattern formation4, Despite its extreme simplicity, Saffman- Taylor flow has much in common with the Mullins-Sekerka instability5 which gives rise to dendritic growth in alloys. In this paper we first discuss the formal similarity between the dispersion relations for the Saffman-Taylor and Mullins-Sekerka instabilities, then we set out some of our recent results on the Saffman-Taylor problem1.
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- * Work done in collaboration with J. V. MaherGoogle Scholar