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Technical Briefs

A Serendipitous Application of Supercavitation Theory to the Water-Running Basilisk Lizard

[+] Author and Article Information
Eric R. White, Timothy F. Miller

Applied Research Laboratory, Pennsylvania State University, State College, PA 16804

J. Fluids Eng 132(5), 054501 (Apr 27, 2010) (7 pages) doi:10.1115/1.4001487 History: Received August 05, 2008; Revised March 25, 2010; Published April 27, 2010; Online April 27, 2010

The classic study of the water entry of a body has applications ranging from hydroballistics to behavior of basilisk lizards. The availability of Russian supercavitation theory in recent years has allowed for an even greater understanding, and was used to develop a model to predict the dynamic size, shape, and pressure of a naturally or artificially produced underwater cavity. This model combines supercavitation theory, rigid body dynamics, and hydrodynamic theory into a comprehensive model capable of determining the motional behavior of underwater objects. This model was used as the basis for modeling the vertical water entry of solid objects into a free water surface. Results from simulation of water entry of various-sized thin disks compared favorably with published experimental data from the technical literature. Additional simulated data support a disk radius dependence on a relative object depth at cavity closure that was not previously recognized. Cavity closure times are also presented.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

The dynamic cross sectional area of a cavity section is determined by the condition at the time of cavity formation τ, and in part by the cumulative effect of cavitation number

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Figure 2

Computational flow of the SIMULINK numerical implementation of the water entry model

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Figure 3

Sample simulation of water entry cavity formation and collapse (t in seconds)

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Figure 4

Comparison of the simulation with photographed water-running lizard portion of a figure reprinted by permission from Macmillan Publishers Ltd. (6)

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Figure 5

Comparison of measured and predicted cavity depths at cavity closure

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Figure 6

Comparison of measured and predicted cavity depths (to top seal) expressed with disk radius dependence

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Figure 7

Expanded simulation set of cavity depths (to top seal) expressed with disk radius dependence

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Figure 8

Same as Fig. 7, except small Fr number behavior of Banks and Chandrasekhara included

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Figure 9

Cavity closure time [Tseal×(g/r)0.5] dependence on disk radius and Froude number

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