二维平行粘性流动中的指法

N. Rakotomalala, D. Salin, P. Watzky
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引用次数: 5

摘要

采用BGK晶格气相法研究了不同粘度(粘度比AI)的混相流体在两个平行板间的位移。在高佩雷数时,在板间的间隙中形成对称界面。在M + j10以上,界面变成一个轮廓清晰的手指,在大AI下,手指的减小宽度趋向于a ~n = 0.56。假设高佩莱特数下的混相驱替等于高毛细数下的非混相驱替,我们扩展了Reinelt & Saffman对非混相流体的计算,并找到了手指的解析形状。结果与著名的Saffman-Taylor手指进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fingering in 2D Parallel Viscous Flow
We study the displacement of miscible fluids of different viscosities (viscosity ratio AI) between two parallel plates, using the BGK lattice gas method. At high Peclet numbers, a symmetric interface develops in the gap between the plates. Above M +J 10, the interface becomes a well-defined finger, the reduced width of which tends to A~n = 0.56 at large AI. Assuming that a miscible displacement at high Peclet numbers is equivalent to an immiscible displacement at high capillary numbers, we extend the calculations of Reinelt & Saffman for immiscible fluids, and find the analytical shape of the finger. The result is compared to the celebrated Saffman-Taylor finger.
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