A note on a swimming problem
A note on a swimming problem
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关于游泳问题的注意事项
DOI：
10.1017/s0022112068000169
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发表时间：
1968
影响因子：
3.7
通讯作者：
E. Tuck
中科院分区：
文献类型：
--
作者：
E. Tuck
在固定（小）波幅下，由于粘性流体中的横向波动振荡，双无限柔性片材的自推进速率随着频率的增加而降低。这一结果与 Reynolds (1965) 的结果不同，Reynolds (1965) 考虑了局部惯性，从而预测游泳速度在零频率时会增加到超过 Taylor (1951) 给出的极限值。雷诺兹工作中的错误是由于他忽视了对流的同时效应，这导致了不均匀的平均二阶流，其方向与推进力相反。还提出了有关游泳床单的一些其他结果。
The rate of self-propulsion of a doubly-infinite flexible sheet due to transverse waving oscillations in a viscous fluid is shown to decrease with increasing frequency, at a fixed (small) wave amplitude. This result differs from that of Reynolds (1965) who included local inertia, and thereby predicted that the swimming speed increases above the limiting value given by Taylor (1951) at zero frequency. The error in Reynolds’ work is due to his neglect of the simultaneous effect of convection, which induces a non-uniform mean second-order flow, with direction such as to oppose propulsion. Some other results concerning swimming sheets are presented.