Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-24T03:56:42.580Z Has data issue: false hasContentIssue false
  • English
  • Français

Deformation and Bubble Entrapment of Free Surface Before Axisymmetric Bodies Detaching From Water Fully

Published online by Cambridge University Press:  16 July 2019

X. Song ,
Q. G. Wu ,
B. Y. Ni  and
H. L. Chen
X. Song
Affiliation:
College of Shipbuilding Engineering Harbin Engineering UniversityHarbin, China
Q. G. Wu
Affiliation:
College of Shipbuilding Engineering Harbin Engineering UniversityHarbin, China
B. Y. Ni*
Affiliation:
College of Shipbuilding Engineering Harbin Engineering UniversityHarbin, China
H. L. Chen
Affiliation:
College of Shipbuilding Engineering Harbin Engineering UniversityHarbin, China
*
*Corresponding author ([email protected])
Get access

Abstract

Experiments are presented on the deformation of free surface induced by water exit of axisymmetric bodies, particular at the moment before body detaching from water. A set of experimental apparatus is designed to provide driving force for the bodies. A high-speed camera is adopted to capture the motion and deformation of the free surface. Bodies of various shapes, including a stretched spheroid, a sphere, a circular cone and a combination of cylinder and circular cone, are lifted out of water with different velocities, by using a straight rod attached on the top of models. It is found that free-surface deformation is affected by the moving velocity a lot. Three wake flow or free-surface spike patterns are generated corresponding to different velocities. When the velocity is larger than a critical velocity, cavitation incepts and bubble is entrapped inside the water spike, which changes the flow pattern and shape of the spike. It is aimed to explore the spike phenomenon of free surface and explain the reasons behind it.

Keywords

Water exitfree surfacedeformationexperimentbubble entrapment
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 6 , December 2019 , pp. 863 - 874
Copyright
© The Society of Theoretical and Applied Mechanics 2019 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Ni, B. Y., Zhang, A. M. and Wu, G. X., “Simulation of complete water exit of a fully-submerged body,” Journal of Fluids and Structures, 58, pp. 79–98 (2015).CrossRefGoogle Scholar
Gañán-Calvo, A. M., “Revision of bubble bursting: universal scaling laws of top jet drop size and speed,” Physical review letters, 119(20), 204502 (2017).CrossRefGoogle ScholarPubMed
Baarholm, R. and Faltinsen, O. M., “Wave impact underneath horizontal decks,” Journal of Marine Science and Technology, 9, pp. 1–13 (2004).CrossRefGoogle Scholar
Comiskey, P. M., Yarin, A. L. and Attinger, D., “Theoretical and experimental investigation of forward spatter of blood from a gunshot,” Physical Review Fluids, 3, 063901 (2018).CrossRefGoogle Scholar
Reis, P. M., Jung, S., Aristoff, J. M., and Stocker, R., “How cats lap: Water uptake by felis catus,” Science, 330, pp. 1231–1234 (2010).CrossRefGoogle ScholarPubMed
Weickgenannt, C., Roisman, I. V. and Tropea, C., “Pinch-off of a stretching viscous filament and drop transport,” New Journal of Physics, 17(8), 083059 (2015).CrossRefGoogle Scholar
Tassin, A., Breton, T., and Jacques, N., “Evolution of the contact line during the water exit of flat plates,” In 32nd International Workshop on Water Waves and Floating Bodies, Dalian, China (Apr. 23-26, 2017).Google Scholar
Tassin, A., Breton, T., Forest, B., Ohana, J., Chalony, S., Roux, D Le and Tancray, A., “Visualization of the contact line during the water exit of flat plates,” Experiments in Fluids, 58(8) pp. 104 (2017).CrossRefGoogle Scholar
Tassin, A., Breton, T., and Jacques, N.,” Experiments on the water entry and/or exit of a cone,” In 33rd International Workshop on Water Waves and Floating Bodies, Guidel-Plages, France (Apr. 4-7, 2018).Google Scholar
Vega-Martinez, P., Rodriguez-Rodriguez, J., Khabakhpasheva, T. I. and Korobkin, A. A., “Experimental study of the fast exit of a plate lifting from a water surface,” In 33rd International Workshop on Water Waves and Floating Bodies, Guidel-Plages, France, (Apr. 4-7, 2018).Google Scholar
Moran, J. P., “Line source distributions and slender-body theory,” Journal of Fluid Mechanics, 17(02), pp. 285-304 (1963).CrossRefGoogle Scholar
Lee, S. and Leal, L., “A numerical study of the translation of a sphere normal to an interface,” Journal of Colloid and Interface Science, 87, pp. 81-106 (1982).CrossRefGoogle Scholar
Korobkin, A. A., “A linearized model of water exit,” Journal of Fluid Mechanics, 737, pp. 368-386 (2013).CrossRefGoogle Scholar
Korobkin, A. A., Khabakhpasheva, T. I. and Mari, K. J., “Water-exit problem with prescribed motion of a symmetric body,” In: 29th International Workshop on Water Waves and Floating Bodies, Osaka, Japan, (March 30-April 2, 2014).Google Scholar
Khabakhpasheva, T. I., Korobkin, A. A., Mari, K. J. and Seng, S., “Water entry and exit with large displacements by simplified models,” In: 31rd International Workshop on Water Waves and Floating Bodies, Plymouth, USA, (Apr. 3-6, 2016).Google Scholar
Lu, C. J., “The vertical water exit and entry of a slender axisymmetric body,” Journal of hydrodynamics 5(4), pp. 35–40 (1990, in Chinese).Google Scholar
Greenhow, M. and Moyo, S., “Water entry and exit of horizontal circular cylinders,” Philosophical Transactions of the Royal Society A, 355, pp. 551–563 (1997).CrossRefGoogle Scholar
Rajavaheinthan, R. and Greenhow, M., “Constant acceleration exit of two-dimensional free-surfacepiercing bodies,” Applied Ocean Research, 50, pp. 30–46 (2015).CrossRefGoogle Scholar
Ni, B. Y. and Wu, G. X., “Numerical simulation of water exit of an initially fully submerged buoyant spheroid in an axisymmetric flow,” Fluid Dynamics Research, 49, 045511 (2017).CrossRefGoogle Scholar
Zhu, X., Faltinsen, O.M. and Hu, C., “Water entry and exit of a horizontal circular cylinder,” In: 24th International Conference on Offshore Mechanics and Arctic Engineering, Halkidiki, Greece (2005).Google Scholar
Qian, L., Causon, D. M., Mingham, C. G. and Ingram, D. M., “A free-surface capturing method for two fluid flows with moving bodies,” Proceedings of the Royal Society A, 462, pp. 21–42 (2006).CrossRefGoogle Scholar
Wang, W. and Wang, Y., “An improved free surface capturing method based on Cartesian cut cell mesh for water-entry and –exit problems,” Proceedings of the Royal Society A, 465, pp. 1843–1868 (2009).CrossRefGoogle Scholar
Lin, P. Z., “A fixed-grid model for simulation of a moving body in free surface flows,” Computers & Fluids, 36, pp. 549-561(2007).CrossRefGoogle Scholar
Colicchio, G., Greco, M., Miozzi, M., et al., “Experimental and numerical investigation of the water-entry and water-exit of a circular cylinder,” In: 24th International Workshop on Water Waves and Floating Bodies, Zelenogorsk, Russia (Apr. 19-22, 2009).Google Scholar
Zhang, Y., Zou, Q., Greaves, D., et al., “A Level Set Immersed Boundary Method for Water Entry and Exit,” Commun. Comput. Phys., 8(2), pp. 265-288 (2010).CrossRefGoogle Scholar
Yang, J. and Stern, F., “Sharp interface immersedboundary/level-set method for wave – body interactions,” Journal of Computational Physics, 228, pp. 6590-6616 (2009).CrossRefGoogle Scholar
Zhang, C., Zhang, W., Lin, N., et al., “A two-phase flow model coupling with volume of fluid and immersed boundary methods for free surface and moving structure problems,” Ocean engineering, 74, pp. 107-124 (2013).CrossRefGoogle Scholar
Vandamme, J., Zou, Q. and Reeve, D E., “Modeling Floating Object Entry and Exit Using Smoothed Particle Hydrodynamics,” Journal of Waterway Port Coastal and Ocean Engineering, 137(5), pp. 213–224 (2011).CrossRefGoogle Scholar
Liu, M. B., Shao, J. R. and Li, H. Q., “An SPH model for free surface flows with moving rigid objects,” International Journal for Numerical Methods in Fluid, 74(9), pp. 684–697 (2014).CrossRefGoogle Scholar
Yang, X. G., Chen, H. L., Liu, H. P., Zhao, C. J., and Chen, F., Simulation about 3D flow field of missile underwater motion and water-exit process, Journal of Ballistics, 22(1), pp. 107–110 (2010)Google Scholar
Nair, V. V. and Bhattacharyya, S. K., Water entry and exit of axisymmetric bodies by CFD approach, Journal of Ocean Engineering and Science, 3, pp. 156–174 (2018)CrossRefGoogle Scholar
Greenhow, M. and Lin, W. M., “Nonlinear free surface effects: Experiments and Theory,” MIT Report No.83-19. MIT, United States (1983).Google Scholar
Zhang, J., Hong, F. W., Xu, F., Wang, L. P. and Zhao, F., “Experimental research of transient flow field near free surface due to body exiting from water,” Journal of Ship Mechanics, 6(4), pp. 45–50 (2002).Google Scholar
Liju, P. Y., Machane, R., and Cartellier, A., “Surge effect during the water exit of an axis-symmetric body traveling normal to a plane interface: experiments and BEM simulation,” Experiments in Fluids, 31, 241–248 (2001).CrossRefGoogle Scholar
Bourrier, P., Guyon, E., and Jorre, J. P., “The ‘pop off’ effect: different regimes of a light ball in water,” European Journal of Physics, 5, pp. 225–31 (1984, in French).CrossRefGoogle Scholar
Truscott, T. T., Epps, B. P. and Munns, R. H., “Water exit dynamics of buoyant spheres,” Physical Review Fluids, 1, 074501 (2016).CrossRefGoogle Scholar
Wu, Q. G., Ni, B. Y., Bai, X. L., Cui, B. and Sun, S. L., “Experimental study on large deformation of free surface during water exit of a sphere,” Ocean Engineering, 140, pp. 360–376 (2017).CrossRefGoogle Scholar
Shi, H. H., Zhou, H. L. and Hu, J. H., “Experimental research on supercavitation flows during water exit,” Proceedings of the 8th international symposium on cavitation, Singapore (2012).CrossRefGoogle Scholar
Comiskey, P. M., Yarin, A. L. and Attinger, D., “High-speed video analysis of forward and backward spattered blood droplets,” Forensic Science International, 276, pp. 134–141 (2017).CrossRefGoogle ScholarPubMed
Zhao, J. L., Guo, B. S., Sun, L. Q. and Yao, X. L., “Experimental study on oblique water-exit of slender bodies,” Explosion and Shock waves, 36(1), pp. 113-120 (2016, in Chinese).Google Scholar
Wang, A. B., Chen, Y. S. Wu, Y. J., Sung, J. Y., and Yarin, A. L., “Withdrawal of a conical pin from a pool of liquid,” Journal of Mechanics, v.20, No. 3, pp. 219–232 (2004).CrossRefGoogle Scholar
Zhang, A. M., Cui, P. and Wang, Y., “Experiments on bubble dynamics between a free surface and a rigid wall,” Experiments in Fluids, 54(1), pp. 1062 (2013).CrossRefGoogle Scholar
Cai, Y. K., Phenomena of a liquid drop falling to a liquid surface, Experiments in Fluids, 7(6), pp. 388–394 (1989).CrossRefGoogle Scholar
Lamb, H., Hydrodynamics, 6th edn, Cambridge: Cambridge University Press, (1932).Google Scholar
Ni, B. Y., Zhang, A. M. and Wu, G. X., “Numerical and experimental study of bubble impact on a solid wall,” Journal of Fluids engineering, 137, 031206 (2015).CrossRefGoogle Scholar
Cui, P., Zhang, A. M., Wang, S. P. and Khoo, B. C., Ice breaking by a collapsing bubble. Journal of Fluid Mechanics, 841, pp.287–309 (2018).CrossRefGoogle Scholar
Wilkinson, J. H., Rounding errors in algebraic process, London: H M Stationery Office, (1963).Google Scholar