DOI: https://doi.org/10.20535/2521-1943.2020.0.212048

Prediction of the unsteady ventilated partial cavities

Volodymyr Semenenko, Olena Naumova

Abstract


Approximate methods of computing the unsteady ventilated partial cavities created on both the plane and the cylindrical streamlined surfaces have been developed. The cases of plane partial cavities past a slender wedge-shaped cavitator, and axisymmetric partial cavities past a ring flange on the surface of an infinite circular cylinder are considered. Results of computer simulation of the unsteady ventilated partial cavities of both that types are shown. A comparison of the unsteady behavior of plane and axisymmetric ventilated partial cavities is given. A comparative analysis of two methods of controlling the partial cavities by varying the cavitator shape and by regulating the gas supply rate into a cavity is given. It has been shown that the first method is more effective for a partial cavity on a plane. For an axisymmetric partial cavity on a cylinder, both the control methods appear ineffective.


Keywords


partial cavity; ventilated cavity; unsteady cavity; discrete singularity method; computer simulation

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References


M. Perlin, and S. Ceccio, Mitigation of hydrodynamic resistance: methods to reduce hydrodynamic drag, World Scientfic Publishing Co. Pte. Ltd, 2015. https://dx.doi.org/10.1142/9789814612265

V.N. Semenenko, “Instability of ventilated cavity that is closed on a body”, J. of Applied Hydromechanics, vol. 13, no. 3,

pp. 76–81, 2011.

I.I. Yefremov, Teoriya kavitatsiynogo obtikannya [Linearized theory of cavitation flow],”, Kyiv, Ukraine: Naukova Dumka, 1974.

V.N. Semenenko, “Calculation of Two-Dimensional Unsteady Supercavities at Arbitrary Time Dependence”, International J. of Fluid Mechanics Research, vol. 31, no. 6, pp. 621–632, 2004. doi: 10.1615/InterJFluidMechRes.v31.i6.80

G.V. Logvinovich, Gidrodinamika techeniy so svobodnymi granitsami [Hydrodynamics of Free- Boundary Flows], Kyiv, Ukraine: Naukova Dumka, 1969.

G.V. Logvinovich and V.V. Serebryakov, “On Methods of Calculation of Slender Axisymmetric Cavity Shapes”, J. of Hydromechanics, vol. 32, pp. 47–54, 1975.

V.N. Semenenko, “Artificial cavitation. Physics and calculations”, RTO-AVT/VKI Special Course on Supercavitating Flows, February 12–16, VKI, Brussels, Belgium, 2001.

L. Barbaka, B.W. Pearce and P.A. Brandner, “Experimental investigation of ventilated cavity flow over a 3D wall mounted fence”, in Proc. International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, April 10–15,

Honolulu, Hawaii, 2016.

K.A. Lay et al., “Partial cavity drag reduction at high Reynolds Numbers”, J. of Ship Research, vol. 54, no. 2, pp. 109–119, 2010.

G.V. Logvinovich, et al., Techeniya so svobodnymi poverkhnostyami [Free-Surface Flows], Kyiv, Ukraine: Naukova Dumka, 1985.

M.I. Gurevch, Teoriya struy idealnoy zhidkosti [The Theory of Jets in Ideal Fluids], 2nd ed., Moscow, Russia: Nauka, 1979.

Y.D. Vlasenko and G.Y. Savchenko, “Study of the Parameters of a Ventilated Supercavity Closed on a Cylindrical Body”, Supercavitation: Advances and Perspectives. Springer-Verlag, Berlin and Heidelberg, pp. 201–214. 2012. doi: 10.1007/978-3-642-23656-3

J.H. Spurk, “On the gas loss from ventilated supercavities”, Acta Mechanica, vol. 155, pp. 125–135, 2002. https://doi.org/10.1007/BF01176238

V.N. Semenenko, “Computer modeling of pulsations of ventilated supercavities”, International J. of Fluid Mechanics Research, vol. 23, no. 3 & 4, pp. 302–312, 1996.

J.–P. Franc, and J.–M. Michel, Fundamentals of Cavitation, Dordrecht, Boston, London: Kluwer Academic Publishers, 2004. doi: 10.1007/1-4020-2233-6

V.N. Semenenko, “Instability of a plane ventilated supercavity in an infinite stream”, International J. of Fluid Mechanics Research, vol. 23, no. 1 & 2, pp. 134–143, 1996.


GOST Style Citations


[1] M. Perlin, and S. Ceccio, Mitigation of hydrodynamic resistance: methods to reduce hydrodynamic drag, World Scientfic Publishing Co. Pte. Ltd, 2015. https://dx.doi.org/10.1142/9789814612265

[2] V.N. Semenenko, “Instability of ventilated cavity that is closed on a body”, J. of Applied Hydromechanics, vol. 13, no. 3,
pp. 76–81, 2011.

[3] I.I. Yefremov, Teoriya kavitatsiynogo obtikannya [Linearized theory of cavitation flow],”, Kyiv, Ukraine: Naukova Dumka, 1974.

[4] V.N. Semenenko, “Calculation of Two-Dimensional Unsteady Supercavities at Arbitrary Time Dependence”, International J. of Fluid Mechanics Research, vol. 31, no. 6, pp. 621–632, 2004. doi: 10.1615/InterJFluidMechRes.v31.i6.80

[5] G.V. Logvinovich, Gidrodinamika techeniy so svobodnymi granitsami [Hydrodynamics of Free- Boundary Flows], Kyiv, Ukraine: Naukova Dumka, 1969.

[6] G.V. Logvinovich and V.V. Serebryakov, “On Methods of Calculation of Slender Axisymmetric Cavity Shapes”, J. of Hydromechanics, vol. 32, pp. 47–54, 1975.

[7] V.N. Semenenko, “Artificial cavitation. Physics and calculations”, RTO-AVT/VKI Special Course on Supercavitating Flows, February 12–16, VKI, Brussels, Belgium, 2001.

[8] L. Barbaka, B.W. Pearce and P.A. Brandner, “Experimental investigation of ventilated cavity flow over a 3D wall mounted fence”, in Proc. International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, April 10–15,
Honolulu, Hawaii, 2016.

[9] K.A. Lay et al., “Partial cavity drag reduction at high Reynolds Numbers”, J. of Ship Research, vol. 54, no. 2, pp. 109–119, 2010.

[10] G.V. Logvinovich, et al., Techeniya so svobodnymi poverkhnostyami [Free-Surface Flows], Kyiv, Ukraine: Naukova Dumka, 1985.

[11] M.I. Gurevch, Teoriya struy idealnoy zhidkosti [The Theory of Jets in Ideal Fluids], 2nd ed., Moscow, Russia: Nauka, 1979.

[12] Y.D. Vlasenko and G.Y. Savchenko, “Study of the Parameters of a Ventilated Supercavity Closed on a Cylindrical Body”, Supercavitation: Advances and Perspectives. Springer-Verlag, Berlin and Heidelberg, pp. 201–214. 2012. doi: 10.1007/978-3-642-23656-3

[13] J.H. Spurk, “On the gas loss from ventilated supercavities”, Acta Mechanica, vol. 155, pp. 125–135, 2002. https://doi.org/10.1007/BF01176238

[14] V.N. Semenenko, “Computer modeling of pulsations of ventilated supercavities”, International J. of Fluid Mechanics Research, vol. 23, no. 3 & 4, pp. 302–312, 1996.

[15] J.–P. Franc, and J.–M. Michel, Fundamentals of Cavitation, Dordrecht, Boston, London: Kluwer Academic Publishers, 2004. doi: 10.1007/1-4020-2233-6

[16] V.N. Semenenko, “Instability of a plane ventilated supercavity in an infinite stream”, International J. of Fluid Mechanics Research, vol. 23, no. 1 & 2, pp. 134–143, 1996.





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