Dynamics of supercavitating vehicles with cone cavitators

Volodymyr Semenenko; Volodymyr Moroz; Viktor  Kochin; Olena Naumova

doi:10.20535/2521-1943.2022.6.1.252889

Authors

Volodymyr Semenenko Institute of Hydromechanics of NAS of Ukraine, Ukraine https://orcid.org/0000-0001-9595-4517
Volodymyr Moroz Institute of Hydromechanics of NAS of Ukraine, Ukraine https://orcid.org/0000-0002-0729-2902
Viktor Kochin Institute of Hydromechanics of NAS of Ukraine, Ukraine http://orcid.org/0000-0002-5105-5103
Olena Naumova Institute of Hydromechanics of NAS of Ukraine, Ukraine https://orcid.org/0000-0003-1013-913X

DOI:

https://doi.org/10.20535/2521-1943.2022.6.1.252889

Keywords:

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

Abstract

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.

References

G. V. Logvinovich, Hydrodynamics of flows with free boundaries. Kyiv: Naukova Dumka, 1969, 215 p.
G. V. Logvinovich and V. V. Serebryakov, “On methods for calculating a shape of slender axisymmetric cavities”, Hydromechanics, no. 32, pp. 47–54, 1975.
V. N. Semenenko, Artificial cavitation. Physics and calculations, ADP012080, 2001. Available: https://apps.dtic.mil/sti/tr/pdf/ADP012080.pdf.
V. N. Semenenko and Ye. I. Naumova, “Study of the supercavitating body dynamics”, in Supercavitation: Advances and Perspectives A Collection Dedicated to the 70th Jubilee of Yu. N. Savchenko. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012, pp. 147–176. DOI: https://doi.org/10.1007/978-3-642-23656-3_9.
V. N. Semenenko, “Analysis of the supercavitating body dynamics and control basing on the G. V. Logvinovich theory”, Applied hydromechanics, vol. 15 (87), no. 1, pp. 83–93, 2013.
E. V. Paryshev, “Numerical modeling of pulsation of ventilated cavities”, Trudy TSAGI, no. 2272, pp. 19–28, 1985.
V. N. Buivol, Thin caverns in flows with disturbances. Kyiv: Naukova Dumka, 1980.
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.
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.
Yu. 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.
V. N. Semenenko and O. I. Naumova, “Dynamics of a partially cavitating underwater vehicle”, Hydrodynamics and acoustics, vol. 1 (91), no. 1, pp. 70–84, 2018. DOI: https://doi.org/10.15407/jha2018.01.070.
V. Semenenko and O. Naumova, “Some ways of hydrodynamic fin application for underwater supercavitating vehicles”, Hydrodynamics and acoustics, vol. 1 (91), no. 3, pp. 355–371, 2018. DOI: https://doi.org/10.15407/jha2018.03.355.
Yu. N. Savchenko, V. N. Semenenko and G. Yu. Savchenko, “Features of manoeuvring at the supercavitation flowing around”, Applied hydromechanics, vol. 18 (90), no. 1, pp. 79–82, 2016.
Yu. N. Savchenko, V. N.Semenenko and G. Yu. Savchenko, “Peculiarities of supercavitating vehicles’ maneuvering”, International Journal of Fluid Mechanics Research, vol. 46, no. 4, pp. 309–323, 2019. DOI: https://doi.org/10.1615/InterJFluidMechRes.v46.i4.30.
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.
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”, Journal of Shipping and Ocean Engineering, vol. 5, no. 5, pp. 255–265, 2015. DOI: https://doi.org/10.17265/2159-5879/2015.05.004.
V. V. Serebryakov, V. V. Moroz, V. V. 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”, Journal of Ship Research, vol. 64, no. 02, pp. 139–153, 2020. DOI: https://doi.org/10.5957/jsr.2020.64.2.139.
V. Kochin, V. Moroz, V. Semenenko and P. Bu-Geun, “Experimental verification of mathematical model of the super-cavitating underwater vehicle dynamics”, in Proceedings of the 11th International Symposium on Cavitation CAV2021, Daejeon, Korea, 2021.
“Testing and Extrapolation Methods. High Speed Marine Vehicles. Resistance Test. ITTC Recommended Procedures and Guidelines 7.5-02-05-01, Revision 02”, in Proceedings 25th International Towing Tank Conference 2008, Fukuoka, Japan, 2008.
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.
A. May, Water entry and the cavity-running behavior of missiles, SEAHAC Technical Report 75-2. NAVSEA Hydroballistics Advisory Committee, Silver Spring, Maryland, 1975. DOI: https://doi.org/10.21236/ADA020429.
L. A. Epshtein, Methods of dimensional and similarity theory in problems of hydromechanics of ships. Leningrad: Sudostroyeniye, 1970, 208 p.
Yu. N. Savchenko and G. Yu. Savchenko, “Estimation of efficiency of using the supercavitation on axisymmetric hulls”, Applied hydromechanics, vol. 6 (78), no. 4, pp. 78–83, 2004.
H. Schlichting, Boundary layer theory. New York: McGraw-Hill, 1961, 740 p.
Yu. N. Savchenko and V. N. Semenenko, “Special features of supercavitating flow around polygonal contours”, International Journal of Fluid Mechanics Research, vol. 28, no. 5, pp. 660– 672, 2001. DOI: https://doi.org/10.1615/InterJFluidMechRes.v28.i5.60.
J. Dzielski and A. Kurdila, “A benchmark control problem for supercavitating vehicles and an initial investigation of solutions”, Journal of Vibration and Control, vol. 9, no. 7, pp. 791–804, 2003. DOI: https://doi.org/10.1177/1077546303009007004.
V. M. Semenenko and O. І. Naumova, “Motion of underwater supercavitating vehicles along the assigned paths”, in Proceedings of the XI All-Ukrainian Scientific and Technical Conference "Underwater Equipment and Technology", Mykolaiv, Ukraine, 2021.
Yu. N. Savchenko, Yu. D. Vlasenko and V. N. Semenenko, “Experimental Studies of High-Speed Cavitated Flows", International Journal of Fluid Mechanics Research, vol. 26, no. 3, pp. 365–374, 1999. DOI: https://doi.org/10.1615/InterJFluidMechRes.v26.i3.80.