Selection of the Saffman-Taylor Finger Width in the Absence of Surface Tension: an Exact Result
نویسنده
چکیده
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 all previous work in this field and the generally accepted belief that surface tension is indispensable for the selection of the 1 2 -width finger. PACS: 47.15.Hg, 47.20.Hw, 68.10.-m, 68.70.+w
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تاریخ انتشار 1998