Analytical models of water impact
Analytical models of water impact
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DOI：
10.1017/s0956792504005765
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发表时间：
2004-12
影响因子：
1.9
通讯作者：
A. Korobkin
中科院分区：
文献类型：
--
作者：
A. Korobkin
研究了流体动压分布和物体入液力预测的数学模型。特别注意的是基于经典瓦格纳理论给出的速度势的分析模型。瓦格纳理论的正式使用提供了一个进入物体上的载荷，它比测量的要高。为了改进预测，在广义Wagner模型和Logvinovich模型中考虑了Bernoulli方程中的高阶项。结果表明，Logvinovich模型比广义Wagner模型更符合实验数据。本文给出了二维情况下Logvinovich模型的一个合理推导。通过数值和实验结果对分析模型进行了验证。
Mathematical models for the prediction of the hydrodynamic pressure distribution and the force on a body entering liquid are investigated. Particular attention is paid to analytical models which are based on the velocity potential given by the classical Wagner theory. Formal use of the Wagner theory provides the loads on an entering body, which are higher than the measured ones. To improve the predictions, the higher order terms in the Bernoulli equation are taken into account within the generalized Wagner model and the Logvinovich model. It is shown that the Logvinovich model corresponds better to the experimental data than the generalized Wagner model. A rational derivation of the Logvinovich model is given in the paper for the two-dimensional case. The analytical models are tested against both numerical and experimental results.