DEFENCE Redchyts



2018 ◊ Volume 1 (91) ◊ Issue 1 p. 70-84

V. N. Semenenko*, O. I. Naumova*

* Institute of Hydromechanics of NAS of Ukraine, Kyiv, Ukraine

Dynamics of a partially cavitating underwater vehicle

Gidrodin. akust. 2018, 1(1):70-84




The purpose of the paper is to analyze the peculiarities of the partially cavitating vehicle dynamics. The research method is a computer simulation using the approximation model of the unsteady supercavity basing on G. V. Logvinovich's principle of independence of supercavity's sections expansion. A method of determination of the balanced motion parameters for the partially cavitating vehicle is elaborated. The examples of computer simulation of the partially cavitating vehicle motion are given, incluing the vehicle speeding-up and deceleration. The longitudinal motion of the balanced partially cavitating vehicle is is shown to be statically unstable on depth. In this case, the motion stability loss occurs in "hard" non-oscillatory manner, unlike the supercavitation case. The methods for stabilization of the partially cavitating vehicle motion are proposed. The effect of cavity ventilation on the dynamics of the cavitating vehicle is studied.


partially cavitating vehicle, ventilated cavity, computer simulation


  1. V. N. Sememenko, “Modelling of the longitudinal motion of the underwater supercavitating vehicles”, Applied Hydromechanics, vol. 12(84), no. 4, pp. 81–88, 2010.
  2. V. N. Semenenko and Y. I. Naumova, “Study of the supercavitating body dynamics”, in Supercavitation: Advances and perspectives, Berlin and Heidelberg:
  3. Springer-Verlag, 2012, pp. 147–176.
  4. Y. N. Savchenko and V. N. Semenenko, “On the course maneuvering of underwater supercavitating vehicles”, Applied Hydromechanics, vol. 13(85), no. 1, pp. 43–50, 2011.
  5. V. N. Semenenko, “Calculation of 3D motion of supercavitating vehicles”, Applied Hydromechanics, vol. 14(86), no. 4, pp. 79–82, 2012.
  6. V. N. Semenenko, “Analysis of the supercavitation body dynamics and control basing on the G. V. Logvinovich theory”, Applied Hydromechanics, vol. 15(87), no. 1, pp. 83–93, 2013.
  7. A. N. Varghese, J. S. Uhlman, and I. N. Kirschner, “High-speed bodies in partially cavitating axisymmetric flow”, in Fifth International Symposium on Cavitation (CAV2003), Osaka, Japan, 2003.
  8. S. Kim and N. Kim, “Integrated dynamics modeling for supercavitating vehicle systems”, International Journal of Naval Architecture and Ocean Engineering, vol. 7, pp. 346–363, 2015. https://doi.org/10.1515/ijnaoe-2015-0024.
  9. M. Nouroozi, M. Pasandidehfard, and M. H. Djavareshkian, “Simulation of partial and supercavitating flows around axisymmetric and quasi-3D bodies by boundary element method using simple and reentrant jet models at the closure zone of cavity”, Mathematical Problems in Engineering, vol. 2016, no. 1593849, pp. 1–13, 2016. https://doi.org/10.1155/2016/1593849.
  10. W. Yiwei, W. Xiaocui, and H. Chenguang, “Ventilated partial cavitating flow around a blunt body near the free surface”, in Proceedings of International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Honolulu, Hawaii, 2016.
  11. V. N. Sememenko, “Instability of ventilated cavity that is closed on a body”, Applied Hydromechanics, vol. 13(85), no. 3, pp. 76–81, 2011.
  12. V. N. Sememenko, “Pulsation of ventilated cavities at various closure conditions”, Applied Hydromechanics, vol. 13(85), no. 4, pp. 62–67, 2011.
  13. G. V. Logvinovich, Hydrodynamics of flows with free boundaries. Kiev: Naukova Dumka, 1969, p. 215.
  14. N. N. Polyakov, S. A. Zegzhda, and M. P. Yushkov, Theoretical mechanics. Moscow: Vysshaya Shkola, 2000.
  15. H. Schlihting, Boundary layer theory. New York: McGraw-Hill, 1961.
  16. V. G. Degtyar and V. I. Pegov, Hydrodynamics of ballistic missiles for submarines. Miass: Makeyev Rocket Design Bureau, 2004.
  17. A. I. Korotkin, Added masses of a ship: Handbook. Leningrad: Sudostroenie, 1986. G. V. Logvinovich and V. V. Serebryakov, “On the methods of calculating a shape of the slender axisymmetric cavities”, Hydromechanics, vol. 32, pp. 47–54, 1975.
  18. E. V. Paryshev, “Theoretical investigation of stability and pulsations of axisymmetric cavities”, Trudy TsAGI, no. 1907, pp. 17–40, 1978.
  19. Y. N. Savchenko and V. N. Semenenko, “Motion of supercavitating vehicle during underwater speeding-up”, Applied Hydromechanics, vol. 17(89), no. 4, pp. 36–42, 2015.
  20. Y. D. Vlasenko, “Experimental investigations of supercavitating regime of flow around self-propelled models”, International Journal of Fluid Mechanics Research, vol. 28, no. 5, pp. 717–733, 2001. https://doi.org/10.1615/interjfluidmechres.v28.i5.110.