NONLINEAR PERTURBATION METHOD FOR CALCULATING AXISYMMETRIC CAVITATIONAL FLOWS

Authors

  • Vasyl Buivol National Aviation University

DOI:

https://doi.org/10.18372/2306-1472.57.5532

Keywords:

angle of attack, cavitation number, cavitator, cone perturbation, current fluid cavity, differential equations, drag coefficient, Froude number, gravity, kinetic energy, Laplace equation, potential

Abstract

A mathematical model of a cavity under the influence of perturbations of various origins is evaluated. The model is based on hydrodynamics of flows with free boundaries and the theory of small perturbations. Specific analysis is provided for cavitational flows behind cones

Author Biography

Vasyl Buivol, National Aviation University

Buyvol Vasyl (1934). Doctor of Physico-Mathematical Sciences. Professor.

State Prize Laureate of Ukraine in the branch of science and technology.

Department of the Applied Informatics, National Aviation University, Kyiv, Ukraine.

Education: Kyiv State University named after T.G. Shevchenko, Kyiv, Ukraine.

Research area: mathematical physics and mechanics of continuous media

References

Buivol, V.N. 1980. Thin cavity in the flow with perturbations. Kyiv, Naukova dumka. 296 p. (in Russian).

Epshtein, L.A.; Lapin, V.M. 1975. The method of measuring the steady cavitation cavities. Certificate of authorship 486214 (USSR). Publ. In BI. N 36. (in Russian).

Epshtein, L.A.; Lapin, V.M. 1980. An approximate calculation of the effect of flow boundaries on the length of the cavity in the plane problem and for axially symmetric body. Proceedings TsAGI, Vol. 2060. Several studies on the hydrodynamics of 1980: 3–24 (in Russian).

Logvinovich, G.V. 1969. Hydrodynamics of flows with free boundaries. Kyiv, Naukova dumka. 215 p. (in Russian).

Logvinovich, G.V.; Serebriakov, V.V. 1975. On the methods of calculation forms axisymmetric cavities. Hydromehanyka. Vol. 32: 4754 (in Russian).

Plesset, M.S.; Shaffer, P.A. 1948. Cavity Drag in Two and Three Dimensionals. Jr. Appl. Phus. 19: 934939.

Serebriakov, V.V. 2008. A practical method for calculating axisymmetric flows with developed cavitation. Journal of Industrial hydraulics and pneumatics. N 4 (22): 5159 (in Russian).

Zhuravlev, Y.F. 1973. Perturbation theory in the space jet streams. Proceedings TsAGI. Vol. 1532: 122 (in Russian)

Published

21-01-2014

How to Cite

Buivol, V. (2014). NONLINEAR PERTURBATION METHOD FOR CALCULATING AXISYMMETRIC CAVITATIONAL FLOWS. Proceedings of National Aviation University, 57(4), 37–41. https://doi.org/10.18372/2306-1472.57.5532

Issue

Section

MODERN AVIATION AND SPACE TEHNOLOGY