Dynamics of supercavitating vehicles with cone cavitators





supercavitating vehicle, cone cavitator, mathematical model, computer simulation, experimental studies


The work is devoted to theoretical and experimental investigations of dynamics of high-speed underwater supercavitating vehicles with cone cavitators. The cone cavitators are considered as operating controls of the supercavitating vehicle motion. The mathematical model of a “slender” unsteady cavity based on the G.V.Logvinovich principle of independence of the cavity section expansion is used. Experimental studies of the rotary cone cavitators were carried out at the high-speed experimental tank of the Institute of Hydromechanics of the NAS of Ukraine. Based on test results, the approximate dependences of both the drag coefficient and the lift coefficient of an inclined cone cavitator on the rotary angle in a wide range of cone angles are proposed. The range of cone angles is determined when the cone cavitators are the more effective operating controls in comparison with equivalent disk cavitator. With the help of computer simulation, a number of problems of dynamics of the supercavitating vehicle with cone cavitators were investigated: balancing the vehicle, the motion stabilization, maneuvering the vehicle, the cavity control. For the first time, experimental verification of the mathematical model of the supercavitating vehicle dynamics “as a whole” was performed by testing the model with cone cavitators and cavity-piercing fins with a degree of freedom in pitch.


  1. G.V. Logvinovich, Hydrodynamics of free-boundary flows, Kyiv, Ukraine: Naukova Dumka, 1969, 208 p.
  2. G.V. Logvinovich and V.V. Serebryakov, “On methods for calculating a shape of slender axisymmetric cavities”, J. of Hydromechanics, No. 32, pp. 47–54, 1975.
  3. V.N. Semenenko, “Artificial cavitation. Physics and calculations”, RTO-AVT/VKI Special Course on Supercavitating Flows. February 12–16, 2001, VKI, Brussels (Belgium).
  4. V.N. Semenenko and Ye.I.Naumova, “Study of the supercavitating body dynamics”, in Supercavitation: Advances and Perspectives, Springer-Verlag, Berlin and Heidelberg, 2012, pp. 147–176. doi: 10.1007/978-3-642-23656-3_9
  5. V.N. Semenenko, “Analysis of the supercavitating body dynamics and control basing on the G.V.Logvinovich theory”, J. of Applied Hydromechanics, Vol. 15, No. 1, pp. 83–93, 2013.
  6. E.V. Paryshev, “Numerical modeling of pulsation of ventilated cavities”, Trudy TSAGI, No. 2272, pp.19–28, 1985.
  7. V.N. Buyvol, Slender cavities in perturbed flows, Kyiv, Ukraine: Naukova Dumka, 1980.
  8. L.G. Gusevsky, “Approximation dependences for axi-symmetric cavities behind cones”, in Hydroynamic flows and waveprocesses, ITF SO AN SSSR, Novosibirsk, 1983, pp. 82–91.
  9. E.V. Paryshev, “On unsteady planing of a body over liquid curvilinear surface”, Second Int. Summer Scientific School “High Speed Hydrodynamics”, Cheboksary, Russia, pp. 175–178, 2004.
  10. Yu.N. Savchenko and V.N. Semenenko, “Motion of supercavitating vehicle during underwater speeding-up”, J. of Ap-plied Hydromechanics, Vol. 17(89), No. 4, pp. 36–42, 2015.
  11. V.N. Semenenko and O.I. Naumova, “Dynamics of a partially cavitating underwater vehicle”, J. of Hydrodynamics and Acoustics, Vol. 1 (91), No. 1, pp. 70–84, 2018. doi: 10.15407/jha2018.01.070
  12. V.N. Semenenko and O.I. Naumova, “Some ways of hydrodynamic fin application for underwater supercavitating vehi-cles”, J. of Hydrodynamics and Acoustics, Vol. 1 (91), No. 3, pp. 355–371, 2018. doi: 10.15407/jha2018.03.355
  13. Yu.N. Savchenko, V.N. Semenenko and G.Yu. Savchenko, “Peculiarities of maneuvering at the supercavitating flow”, J. of Applied Hydromechanics, Vol. 18, No. 1, pp. 79–82, 2016.
  14. Yu.N. Savchenko, V.N.Semenenko, and G.Yu. Savchenko, “Peculiarities of supercavitating vehicles’ maneuvering”, International J. of Fluid Mechanics Research, Vol. 46, No. 4, pp. 309–323, 2019. doi: 10.1615/InterJFluidMechRes.v46.i4.30
  15. T. Kiceniuk, “An experimental study of the hydrodynamic forces acting on family of cavity-producing conical bodies of revolution inclined to the flow”, Report No. E–12–17, Hydrodynamics Laboratory, California Institute of Technology. Pasadena, California, 1954.
  16. V. Kochin, V. Moroz, V. Serebryakov, and N. Nechitailo. “Hydrodynamics of Supercavitating Bodies at an Angle of Attacks under Conditions of Considerable Effect of Fluid Weightiness and Closeness of Free Border”, J. of Shipping and Ocean Engineering, No. 5, pp. 255–265, 2015. doi:10.17265/2159-5879/2015.05.004
  17. V.V. Serebryakov, V.V. Moroz, V.A. Kochin, and J. E. Dzielski, “Experimental Study on Planing Motion of a Cylinder at Angle of Attack in the Cavity Formed behind an Axisymmetric Cavitator”, J. of Ship Research, Vol. 64, No.2, pp.139–153, 2020. doi: 10.5957/JOSR.09180077
  18. V. Kochin, V. Moroz, V. Semenenko and Paik Bu-Geun, “Experimental verification of mathematical model of the super-cavitating underwater vehicle dynamics”, The 11th International Symposium on Cavitation CAV2021, DCC, Daejeon, Korea, May 9–13, 2021.
  19. Testing and Extrapolation Methods. High Speed Marine Vehicles. Resistance Tes,” ITTC – Recommended Procedures and Guidelines No. 7.5-02 -05-01, 25th ITTC 2008.
  20. V. Kochin and V. Moroz, “Automated data acquisition and processing system for a high-speed towing tank”, Modern technologies of automation, No. 3, pp. 48–50, 2009.
  21. A. May, “Water entry and the cavity-running behavior of missiles”, SEAHAC Technical Report 75-2, Naval Surface Weapons Center, White Oak Laboratory, Silver Spring, MD, 1975. doi: 10.21236/ADA020429
  22. L.A. Epshtein. Methods of theory of dimensionalities and similarity in problems of ship hydromechanics. Leningrad: Sudostroenie Publ., 1970, 208 p.
  23. Yu.N. Savchenko and G.Yu. Savchenko, “Estimate of efficiency of supercavitation using on the axisymmetric hulls”, J. of Applied Hydromechanics, Vol. 6, No. 4, pp. 78–83, 2004.
  24. H. Schlichting. Boundary layer theory. New York, 1961, 740 p.
  25. Yu.N. Savchenko and V.N. Semenenko, “Special features of supercavitating flow around polygonal contours”, Interna-tional J. of Fluid Mechanics Research, Vol. 28, No. 5, pp. 660– 672, 2001. doi: 10.1615/InterJFluidMechRes.v28.i5.60
  26. J. Dzielski and A. Kurdila, “A benchmark control problem for supercavitating vehicles and an initial investigation of solution”, J. of Vibration and Control, No. 19(7), pp. 791–804, 2003. doi: 10.1177/1077546303009007004
  27. V.M. Semenenko and O.І. Naumova, “Motion of underwater supercavitating vehicles along the assigned paths”, The XІ All-Ukrainian Scientific and Technical Conference “Underwater Technique and Technology”, Mykolaiv, Ukraine, Dec. 02–03, 2021.
  28. Yu.N. Savchenko, Yu.D. Vlasenko, and V.N. Semenenko. “Experimental study of high-speed cavitated flows, Interna-tional J. of Fluid Mechanics Research, Vol.26, No. 3, pp. 365–374, 1999. doi: 10.1615/InterJFluidMechRes.v26. i3.80




How to Cite

V. Semenenko, . V. Moroz, V. Kochin, and O. Naumova, “Dynamics of supercavitating vehicles with cone cavitators”, Mech. Adv. Technol., vol. 6, no. 1, pp. 85–95, May 2022.