A numerical analysis of the influence of the liquid depth on two-dimensional Faraday waves
A numerical analysis of the influence of the liquid depth on two-dimensional Faraday waves
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DOI：
10.1063/1.1601220
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发表时间：
2003-09
影响因子：
4.6
通讯作者：
S. Ubal;M. D. Giavedoni;F. A. Saita
中科院分区：
文献类型：
--
作者：
S. Ubal;M. D. Giavedoni;F. A. Saita
在这项工作中的二维法拉第波的数值分析。本研究是基于直接数值模拟的Navier-Stokes和连续性方程与适当的边界条件。给出了（F-α）平面上平衡深度在5×10−5 m和10−5 m之间的粘性液体层的稳定性图，并与Benjamin和Ursell的无粘流体模型和Kumar和塔克曼的粘性流体模型的线性稳定性预测进行了比较。区域中的时间周期的解决方案不再获得和非线性效应是相关的，也划定和分析：在这些区域的自由表面的解体成滴可能发生。
In this work a numerical analysis of two-dimensional Faraday waves is presented. This study is based on direct numerical simulation of Navier–Stokes and continuity equations with appropriate boundary conditions. Stability maps on the (F-α) plane for viscous liquid layers with equilibrium depths between 5×10−5 m and 10−5 m are presented; comparisons are made with the linear stability predictions obtained with Benjamin and Ursell’s model for an inviscid fluid and with Kumar and Tuckerman’s model for a viscous fluid. Regions in which time-periodic solutions are no longer obtained and nonlinear effects are relevant, and are also delimited and analyzed: in these zones the disintegration of the free surface into drops may take place.