Nonlinear interactions between a free-surface flow with surface tension and a submerged cylinder
Nonlinear interactions between a free-surface flow with surface tension and a submerged cylinder
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具有表面张力的自由表面流与浸没圆柱体之间的非线性相互作用
DOI：
10.1017/s0022112009993211
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发表时间：
2010
影响因子：
3.7
通讯作者：
D. Peregrine
中科院分区：
文献类型：
--
作者：
R. Moreira;D. Peregrine
本文采用兰姆经典方法，用水平偶极子来近似均匀流中的浸没圆柱。一个线性稳定的解决方案，包括表面张力的影响，推导出，在一定条件下，小规模的波纹形成的气缸前面，而一列“类重力”波出现下游。表面张力效应和偶极子包括在Tanaka等人描述的完全非线性非稳态非周期性边界积分解算器中（J. Fluid Mech.，第185卷，1987年，第235-248）。非线性效应的建模考虑一个平坦的自由表面或线性固定的解决方案作为初始条件的完全非线性无旋流程序。长期计算表明，这些非定常流波辐射后，一些参数接近一个稳定的解决方案。在其他情况下，流动不会接近稳定解。有趣的功能，如出现在自由表面的“寄生毛细管”附近的重力波的波峰和毛细管重力波上游的圆柱体的形成。
A submerged cylinder in a uniform stream flow is approximated by a horizontal doublet, following Lamb's classical method. A linear steady solution including surface tension effects is derived, showing that under certain conditions small-scale ripples are formed ahead of the cylinder, while a train of ‘gravity-like’ waves appear downstream. Surface tension effects and a dipole are included in the fully nonlinear unsteady non-periodic boundary-integral solver described by Tanaka et al. (J. Fluid Mech., vol. 185, 1987, pp. 235–248). Nonlinear effects are modelled by considering a flat free surface or the linear stationary solution as an initial condition for the fully nonlinear irrotational flow programme. Long-run computations show that these unsteady flows approach a steady solution for some parameters after waves have radiated away. In other cases the flow does not approach a steady solution. Interesting features at the free surface such as the appearance of ‘parasitic capillaries’ near the crest of gravity waves and the formation of capillary–gravity waves upstream of the cylinder are found.