Pattern selection and tip perturbations in the Saffman-Taylor problem.
Pattern selection and tip perturbations in the Saffman-Taylor problem.
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萨夫曼泰勒问题中的模式选择和尖端扰动。
DOI:
10.1103/physreva.36.2325
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发表时间:
1987
期刊:
影响因子:
--
通讯作者:
Langer
中科院分区:
文献类型:
--
作者:
Hong;Langer
An analytic approach to the Saffman-Taylor problem of predicting the width of a viscous finger in a Hele-Shaw cell is presented. The first purpose is to provide a systematic description of the way in which the singular perturbation introduced by capillary forces leads to a solvability mechanism for pattern selection. It is then shown how recent experimental observations by Couder et al. (1986) may be interpreted in terms suggested by this mechanism.