2001 年 ISTP 收录浙江师范大学论 3文篇检索时间: 2006-12-1 9检索式: AD=(zhejiang normal) DocType=All document types; Language=All languages; Database=STP; Timespan=200 1 截图: Record 1 of3 Author(s): Yu, HD; Zhao, KH Title: Pattern selection: Nonsingular Saffman-Taylor finger and its dynamic evolution with zero surface tension Editor(s): Novak, MM Source: PARADIGMS PLEXITY - FRACTALS AND STRUCTURES IN THE SCIENCES 279-286, 2000 Language: English Document Type: Article Conference Title: Fractals 2000 Conference Conference Date: APR 16-19, 2000 Conference Location: SINGAPORE, SINGAPORE KeyWords Plus: HELE-SHAW CELL; ANALYTIC THEORY Abstract: By a slight modification of Saffman-Taylor's viscous finger, we remove its singularity and present a finite-length nonsingular Saffman-Taylor finger. Its dynamic evolution solutions, both one-step theory prediction and numerical simulation in the long-time limit with aero surface tension, give an alternative proof for the analytical selection demonstration of the Saffman-Taylor finger width in the absence of surface tension. As a simple example of pattern selection, which has real experimental background, this work not only contradicts the generally accepted belief that surface tension is indispensable for the selection of the 1/2-width finger but also provides more models pute the evolution, competition and ramification of multiple fingers numerically in straight
