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Fluid Dynamics
Published in: Fluid Dynamics 1/2023

01-07-2023

Plane Vortex Flows of an Incompressible Fluid

Author: A. M. Gaifullin

Published in: Fluid Dynamics | Special Issue 1/2023

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Abstract

A review of fundamental theoretical studies concerning plane vortex flows in an incompressible fluid is presented. Problems connected with flow in the vicinity of the point of a vortex sheet vanishing from a solid surface, with self-similar flows of an ideal and viscous fluid, with flow in the cores of spiral vortex sheets, with the stability and diffusion of vortex flows, and with the development of a theory of boundary-layer separation from a solid surface are considered.
next article Plane Recirculation Flows of an Incompressible Fluid. Part 1: Theory

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Literature
1.
Betyaev, S.K., Evolution of vortex sheets, in Dinamika sploshnoi sredy so svobodnymi poverkhnostyami (Dynamics of Continuous Medium with Free Surfaces), Cheboksary: Chuvash State Univ. Named after I. N. Ulyanov, 1980, pp. 27–38.
2.
Landau, L.D. and Lifshits, E.M., Course of Theoretical Physics, vol. 6: Fluid Mechanics, Oxford: Pergamon Press, 1987.MATH
3.
Sedov, L.I., Mekhanika sploshnoi sredy (Mechanics of Continuous Medium), Moscow: Nauka, 1983, vol. 1.
4.
Il'ichev, K.P. and Postolovskii, S.N., Calculation of the breakaway flow of a flat stream of a non-viscous liquid around bodies, Fluid Dyn., 1972, vol. 7, no. 2, pp. 72–82.CrossRef
5.
Imai, I., Discontinuous potential flow as the limiting form of the viscous flow for vanishing viscosity, J. Phys. Soc. Jpn., 1953, vol. 8, no. 3, pp. 399–402.ADSMathSciNetCrossRef
6.
Birkhoff, G. and Zarantonello, E., Jets, Wakes and Cavities, New York: Academic Press, 1957.MATH
7.
Prandtl, L., Uber dieEntstehung von Wirbeln in der idealen Flusigkeit, mit Anwendung auf die Tragflugeltheorie und andere Aufgaben. Vortrage auf dem Gebiete der Hydro- und Aerodynamik, Innsbruck, 1922, Herausgegeben von Karman, Th. und Levi-Civita, T., Berlin: Springer, 1924.
8.
Munk, M.M., The Aerodynamic Forces on Airship Hulls, NACA Report no. 184, 1924, pp. 451–468.
9.
Jones, R.T., Properties of Low-Aspect-Ratio Pointed Wings at Speeds Below and Above the Speed of Sound, NACA Report no. 835, 1946, pp. 59–63.
10.
11.
Mangler, K.W. and Smith, J.H.B., A theory of the flow past a slender delta wing with leading-edge separation, Proc. R. Soc. A, 1959, vol. 251, pp. 200–217.ADSMathSciNetMATH
12.
Smith, J.H.B., Improved calculations of leading-edge separation, Proc. R. Soc. A, 1968, vol. 306, pp. 67–90.ADSMATH
13.
Molchanov, V.F., On the implementation of the planar cross-section method for nonlinear theory of wing, Uch. Zap. TsAGI, 1974, vol. 5, no. 2, pp. 1–9.
14.
Sudakov, G.G., Calculation of the separation flow near a thin triangular wing of small elongation, Uch. Zap. TsAGI, 1974, vol. 5, no. 2, pp. 10–18.
15.
16.
17.
Gurevich, M.I., Teoriya strui ideal’noi zhidkosti (Theory of Ideal Fluid Jets), Moscow: Nauka, 1979.
18.
Alexander, R.C., Family of similarity flows with vortex sheets, Phys. Fluids, 1971, vol. 14, no. 2, pp. 231–239.ADSCrossRefMATH
19.
Mangler, K.W. and Weber, J., The flow field near the center of a rolled-up vortex sheet, J. Fluid Mech., 1967, vol. 30, part 1, pp. 177–196.ADSCrossRefMATH
20.
Betyaev, S.K. and Gaifullin, A.M., Large-scale structure of the core of a spiral discontinuity in a fluid, Fluid Dyn., 1982, vol. 17, no. 5, pp. 698–704.ADSCrossRefMATH
21.
Gaifullin, A.M. and Malanichev, V.A., Asymptotic structure of inviscid core of spiral contact breaking, Uch. Zap. TsAGI, 1985, vol. 16, no. 1, pp. 104–107.
22.
Nikol’skii, A.A., On the “second” form of motion of ideal fluid near streamlined body (study of separation vortex flows), Dokl. Akad. Nauk SSSR, 1957, vol. 116, no. 2, pp. 193–196.MathSciNet
23.
Nikol’skii, A.A., Betyaev, S.K., and Malyshev, I.P., O predel’noi forme otryvnogo avtomodel’nogo techeniya ideal’noi zhidkosti. K 60-letiyu akademika A.A. Dorodnitsyna (On the Limiting Form of Separation Self-Similar Flow of Ideal Fluid. To the 60th Anniversary of the Birth of Academician A.A. Dorodnitsyn), Moscow: Nauka, 1971, pp. 262–268.
24.
Golovkin, M.A., Golovkin, V.A., and Kalyavkin, V.M., Voprosy vikhrevoi gidromekhaniki (Problems on Vortex Hydromechanics), Moscow: Fizmatlit, 2009.
25.
Belotserkovskii, S.M. and Nisht, M.I., Otryvnoe i bezotryvnoe obtekanie tonkikh kryl’ev ideal’noi zhidkost’yu (Separation and Continuous Flow Around Thin Wings by Ideal Liquid), Moscow: Nauka, 1978.
26.
Birkhoff, G., Helmholtz and Taylor instability, in Hydrodynamic Instability, Birkhoff, G., Bellman, R., and Lin, C.C., Eds., New York: American Mathematical Society, 1962, pp. 55–76.CrossRefMATH
27.
Loitsyanskii, L.G., Mekhanika zhidkosti i gaza (Fluid and Gas Mechanics), Moscow: Nauka, 1978.
28.
29.
Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Abramowitz, M. and Stegun, I.A., Eds., New York: Dover Publ., 1972.
30.
Neiland, V.Ya., Theory of laminar boundary layer separation in supersonic flow, Fluid Dyn., 1969, vol. 4, no. 4, pp. 33–35.MATH
31.
Stewartson, K. and Williams, P.G., Self-induced separation, Proc. R. Soc. London, Ser. A, 1969, vol. 312, no. 1509, pp. 181–206.ADSCrossRefMATH
32.
33.
Sychev, V.V., Ruban, A.I., Sychev, Vik.V., and Korolev, G.L., Asimptoticheskaya teoriya otryvnykh techenii (Asymptotic Theory of Separation Flows), Sychev, V.V., Ed., Moscow: Nauka, 1987.
34.
Veldman, A.E.P., New, quasi-simultaneous method to calculate interacting boundary layers, AIAA J., 1981, vol. 19, no. 1, pp. 79–85.ADSCrossRefMATH
35.
Gaifullin, A.M. and Zakharov, S.B., Method for calculating separation flow around circular cone taking into account viscous-inviscid interaction, Uch. Zap. TsAGI, 1990, vol. 21, no. 6, p. 49.
Metadata
Title
Plane Vortex Flows of an Incompressible Fluid
Author
A. M. Gaifullin
Publication date
01-07-2023
Publisher
Pleiades Publishing
Published in
Fluid Dynamics / Issue Special Issue 1/2023
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI
https://doi.org/10.1134/S0015462823600219

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