Selection of the Saaman-taylor Finger Width in the Absence of Surface Tension: an Exact Result

Abstract

Using exact time-dependent non-singular solutions 3], we solve the Saaman-Taylor nger selection problem in the absence of surface tension. We show that a generic interface in a Hele-Shaw cell evolves to a non-linearly stable single uniformly advancing nger occupying one half of the channel width. This result contradicts the generally accepted belief that… (More)

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