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Analytical models of water impact. (English) Zbl 1105.76012

Summary: We investigate mathematical models for prediction of hydrodynamic pressure distribution and force on a body entering liquid. Particular attention is paid to analytical models which are based on 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 Bernoulli equation are taken into account within the generalized Wagner model and Logvinovich model. It is shown that the Logvinovich model corresponds better to experimental data than the generalized Wagner model. A rational derivation of Logvinovich model is given in the paper in the two-dimensional case. The analytical models are tested against both numerical and experimental results.

MSC:

76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
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