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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024 Number 5, Pages 61–66 (Mi vmumm4631)

Mechanics

Symmetric cavitation flow around a cylinder under point effluent on its surface

A. A. Spasova, S. L. Tolokonnikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In the paper, the problem of a symmetric stationary cavitation flow around a cylinder by an infinite flow of ideal incompressible weightless fluid in the presence of a given intensity point effluent located at the front point of the cylinder is considered. The exact solution of the problem is constructed by displaying the areas of change complex potential and complex flow velocity per area change of the auxiliary parametric variable. A parametric analysis of the problem is performed. For a wide range values of the cavitation number, the dimensionless flow rate, the shape and dimensions of the cavitation cavity, and the values of the drag coefficient are found.

Key words: incompressible fluid, cavitation flow, cylinder, point effluent.

UDC: 532.528

Received: 27.10.2023

DOI: 10.55959/MSU0579-9368-1-65-5-7


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 79:5, 165–171

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© Steklov Math. Inst. of RAS, 2026