Selection of the Saffman-Taylor Finger Width in the Absence of Surface Tension: an Exact Result

Abstract

Using our exact time-depending solutions, we solve the Saffman-Taylor finger selection problem in the absence of surface tension by showing that an arbitrary interface in a Hele-Shaw cell evolves to a single uniformly advancing finger occupying one half of the channel width. This result contradicts the generally accepted belief that surface tension is indispensable for the selection of the one-half-width finger.

5 pages, RevTex, 2 figures, added reference, the text a bit cleared. Published in Phys. Rev. Lett. Volume 80, page 2113 (1998) (March 9)

References in corpus (1)

• A New Class of Nonsingular Exact Solutions for Laplacian Pattern Formation

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