NON-LINEAR OSCILLATIONS OF INVISCID DROPS AND BUBBLES
NON-LINEAR OSCILLATIONS OF INVISCID DROPS AND BUBBLES
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DOI：
10.1017/s0022112083002864
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发表时间：
1983-01-01
影响因子：
3.7
通讯作者：
BROWN, RA
中科院分区：
文献类型：
--
作者：
TSAMOPOULOS, JA;BROWN, RA
使用庞加莱-林斯泰特展开技术研究不可压缩无粘性液滴和气泡的中等振幅轴对称振荡。对于双叶、三叶和四叶运动，预测了二阶振幅模式耦合引起的对液滴形状和速度势的修正。发现振荡频率随振幅的平方降低；该结果与经历两瓣振荡的液滴的实验和数值计算结果非常吻合。
Moderate-amplitude axisymmetric oscillations of incompressible inviscid drops and bubbles are studied using a Poincaré–Lindstedt expansion technique. The corrections to the drop shape and velocity potential caused by mode coupling at second order in amplitude are predicted for two-, three- and four-lobed motions. The frequency of oscillation is found to decrease with the square of the amplitude; this result compares well with experiments and numerical calculations for drops undergoing two-lobed oscillations.