Abstract
Complex hydrodynamics of a circular cylinder entering into water horizontally for low Froude numbers is experimentally studied. A high-speed digital video camera system is used to record the water entry process. The emphasis of this study is to investigate the three-dimensional effect on the water entry of the horizontal cylinders. A new experimental setup is built for this purpose and great effort is put on taking high quality pictures of the free surfaces. In the experiment four length to diameter ratios, two cylinder-water density ratios, and two release heights are investigated. For comparison, experiment with a sphere is also carried out. Quantitative analysis is performed based on the digital video images and the results are presented. The results obtained from this study can be used not only for understanding the physics but also for the purpose of validation of numerical models.
Similar content being viewed by others
References
Worthington AM, Cole RS (1897) Impact with a liquid surface, studied by the aid of instantaneous photography. Philosophical Transactions of the Royal Society A (Containing Papers of a Mathematical or Physical Character) 189:137–1480
Watanabe S (1934) Resistance of impact on water surface. Part V-sphere. Scientific Papers of the Institute of Physical and Chemical Research, vol 484, pp 202–208
May A, Woodhull JC (1948) Drag coefficients of steel spheres entering water vertically. J Appl Phys 19:1109–1121
May A, Woodhull JC (1950) The virtual mass of a sphere entering water vertically. J Appl Phys 21:1285–1289
Richardson EG (1948) The impact of a solid on a liquid surface. Proc Phys Soc 4:352–367
May A (1951) Effect of surface condition of a sphere on its water-entry cavity. J Appl Phys 22:1219–1222
May A (1952) Vertical entry of missiles into water. J Appl Phys 23:1362–1372
May A (1975) Water entry and the cavity-running behavior of missiles. Final. Naval Surface Weapons Center White Oak Laboratory, Silver Springs
Whalley IA (2002) Project upkeep—a review of the WWII dambuster weapon. In Proceedings of the 38th AIAA/ASME/SAE/ASEE Joint Propulsion Conf. Exhibit. American Institute of Aeronautics and Astronautics Inc., Indianapolis
Melosh HJ (1980) Cratering mechanics—observational, experimental, and theoretical. Annu Rev Earth Planet Sci 8:65–93
Melosh HJ, Ivanov BA (1999) Impact crater collapse. Annu Rev Earth Planet Sci 27:385–415
Glasheen JW, McMahon TA (1996) Vertical water entry of disks at low Froude numbers. Phys Fluids 8:2078–2083
Thoroddsen ST, Shen AQ (2001) Granular jets. Phys Fluids 13:4–6
Lohse D, Bergmann R, Mikkelsen R, Zeilstra C, van der Meer DM, Versluis M, van der Weele K, van der Hoef M, Kuipers H (2004) Impact on soft sand: void collapse and jet formation. Phys Rev Lett 93(198003):1–4
Lohse D, Rauhe R, Bergmann R, van der Meer D (2004) Granular physics: creating a dry variety of quicksand. Nature 432:689–690
Rosellini L, Hersen F, Clanet C, Bocquet L (2005) Skipping stones. J Fluid Mech 543:137–146
Gekle S, van der Bos A, Bergmann R, van der Meer D, Lohse D (2008) Noncontinuous froude number scaling for the closure depth of a cylindrical cavity. Phys Rev Lett. 100:084502/1–4
Bergmann R, van der Meer D, Gekle S, van der Bos A, Lohse D (2009) Controlled impact of a disc on a water surface: cavity dynamics. J Fluid Mech 633:381–409
Aristoff JM, Bush JWM (2009) Water entry of small hydrophobic spheres. J Fluid Mech 619:45–78
Gekle S, Gordillo JM, van der Meer D, Lohse D (2010) Supersonic air flow due to solid-liquid impact. Phys Rev Lett 104:024501
Thoroddsen ST, Etoh TG, Takehara K, Takano Y (2004) Impact jetting by a solid sphere. J Fluid Mech 499:139–148
Gilbarg D, Anderson RA (1948) Influence of atmospheric pressure on the phenomena accompanying the entry of spheres into water. J Appl Phys 19:127–139
Lee M, Longoria RG, Wilson DE (1997) Cavity dynamics in high-speed water entry. Phys Fluids 9:540
Greenhow M, Lin WM (1983) Nonlinear free surface effects: experiment and theory. Rep. 83-19. Department of Ocean Engineering, MIT
Truscott TT, Techet AH (2009) Water entry of spinning spheres. J Fluid Mech 625:135–165
Enriquez OR, Peters IR, Gekle S, Schmidt LE, van der Meer D, Versluis M, Lohse D (2010) Collapse of nonaxisymmetric cavities. Phys Fluids 22(9):091104
Duez C, Ybert C, Clanet C, Bocquet L (2007) Making a splash with water repellency. Nat Phys 3:180–183
Grumstrup T, Keller JB, Belmonte A (2007) Cavity ripples observed during the impact of solid objects into liquids. Phys Rev Lett 99:114502
Aristoff JM, Truscott TT, Techet AH, Bush JWM (2010) The water entry of decelerating spheres. Phys Fluids 22(3):032102
Acknowledgments
This research was supported by Research Institute for Applied Mechanics, Kyushu University. The authors would like to thank Mr. Makoto Yasunaga, Dr. Sueyoshi Makoto, for their help in designing and installing the experimental setup.
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Wei, Z., Hu, C. An experimental study on water entry of horizontal cylinders. J Mar Sci Technol 19, 338–350 (2014). https://doi.org/10.1007/s00773-013-0252-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00773-013-0252-z