Recent Results of Experiments with Saffman-Taylor Flow

  • Mark W. DiFrancesco
Part of the NATO ASI Series book series (NSSB, volume 176)

Abstract

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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Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • Mark W. DiFrancesco
    • 1
  1. 1.Department of Physics and AstronomyUniversity of PittsburghPittsburghUSA

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