Abstract
A Hele-Shaw cell is a pair of parallel very long plates each of width 2a that are separated by a small gap b such that b ≪ a. The motion of a less viscous fluid displacing a more viscous fluid in this geometry is the simplest of a heirarchy of increasingly complex but related problems in pattern formation that include dendritic crystal growth and directional solidification (see Pelce1 and Kessler, Koplik & Levine2 for recent reviews).
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© 1991 Plenum Press, New York
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Tanveer, S. (1991). Saffman Taylor Finger Problem with Thin Film Effects. In: Amar, M.B., Pelcé, P., Tabeling, P. (eds) Growth and Form. NATO ASI Series, vol 276. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1357-1_2
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DOI: https://doi.org/10.1007/978-1-4684-1357-1_2
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