Abstract
The equations for the shape of a slender axisymmetric cavity [1–3] are used to consider problems relating to pulsations of the cavity shape, the drag of a slender cavity-forming body, and the influence of surface tension on the shape of a steady cavity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
V. V. Serebryakov, “Formulation of linearized problems of axisymmetric supercavitation unsteady flow past bodies,” in: Mathematical Methods of Investigating Hydrodynamic Problems [in Russian], Kiev (1978), pp. 58–62.
I. G. Nesteruk, “Shape of a slender axisymmetric unsteady cavity,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 38 (1980).
I. G. Nesteruk, “Shape of a slender axisymmetric cavity in a weightless liquid,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 133 (1979).
E. Silberman and C. S. Song, “Instability of ventilated cavities,” J. Ship Res.,5, 13 (1961).
C. S. Song, “Pulsation of ventilated cavities,” J. Ship Res.,5, 8 (1962).
C. S. Song, “Pulsation of two-dimensional cavities,” Fourth Sympos. Naval Hydrodynamics: Propuls., Hydroelasticity, Washington D. C., 1962, Washington D. C. Office Naval Res. Dept. Navy (1964), pp. 1033–1056.
É. V. Paryshev, “A system of nonlinear differential equations with retarded argument describing the dynamics of unsteady axisymmetric cavities,” Tr. TsAGI, No. 1907, 3 (1978).
É. V. Paryshev, “Theoretical investigation of stability and pulsations of axisymmetric cavities,” Tr. TsAGI, No. 1907, 17 (1978).
L. C. Woods, “On the instability of ventilated cavities,” J. Fluid Mech.,26, 437 (1966).
L. A. Épshtein, V. I. Blyumin, and A. P. Fedyushkin, “Experimental determination of the gas carried away and the length of the cavities behind cones,” Tr. TsAGI, No. 1100, 12 (1968).
L. G. Guzevskii, “Numerical analysis of cavitation flows,” Preprint No. 40 [in Russian], Institute of Thermophysics, Siberian Branch, USSR Academy of Sciences, Novosibirsk (1979), p. 36.
L. I. Sedov, Two-Dimensional Problems of Hydrodynamics and Aerodynamics [in Russian], Nauka, Moscow (1966), p. 448.
R. T. Knapp et al., Cavitation, McGraw-Hill (1970).
G. K. Batchelor, Introduction to Fluid Dynamics, Cambridge University Press (1967).
M. I. Gurevich, “Influence of capillary forces on the contraction coefficient of a jet,” Prikl. Mat. Mekh.,25, 1060 (1961).
V. N. Buivol and Yu. R. Shevchuk, “Interaction of surface tension and gravitation in cavitation flows,” in: Hydrodynamics, No. 38 [in Russian], Resp. Mezhved. Sb. (1978), pp. 95–100.
V. A. Lapin and L. A. Épshtein, “Influence of surface tension on the main geometrical dimensions of cavities behind axisymmetric bodies,” in: Experimental Mechanics of Ships. Exchange of Experience Proceedings, No. 226 [in Russian], Sudostroenie, Leningrad (1975), pp. 80–87.
V. G. Kuznetsov, V. N. Shepelenko, and N. N. Yanenko, “Calculation of cavity shape in a gravity field with allowance for surface tension,” Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, No. 3, 58 (1967).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 28–34, January–February, 1982.
I thank V. P. Karlikov and Yu. L. Yakimov for helpful discussions of the results.
Rights and permissions
About this article
Cite this article
Nesteruk, I.G. Some problems of axisymmetric cavitation flows. Fluid Dyn 17, 21–27 (1982). https://doi.org/10.1007/BF01090694
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01090694