Literature cited
M. G. Hall, “Vortex breakdown,” in: Ann. Rev. Fluid Mech.,4, 195 (1972).
L. Prandtl. “über die Entstehung von Wirbeln in der idealan Flüssigkeit mit Anwendung auf die Tragflügeltheorie und andere Aufgaben. Vortrage aus Hydro- und Aerodynamik,” in: L. Prandtl, Gesammelte Abhandlungen, Vol. 2, Springer, Berlin (1961), pp. 697–713.
R. C. Alexander, “Family of similarity flows with vortex sheets,” Phys. Fluids,14, 231 (1971).
H. Kaden, “Aufwicklung einer unstabilen Unstetigkeitsfläche,” Ing. Arch.,2, 140 (1931).
K. W. Mangler and J. Weber, “The flow field near the center of a rolled-up vortex sheet,” J. Fluid Mech.,30, 177 (1967).
J. P. Guirand and R. Kh. Zeytounian, “A double-scale investigation of the asymptotic structure of rolled-up vertex sheets,” J. Fluid Mech.,79, 93 (1977).
A. A. Nikol'skii, S. K. Betyaev, and I. P. Malyshev, “On the limiting shape of a self-similar separation flow of an ideal fluid,” in: Problems of Applied Mathematics and Mechanics [in Russian], Nauka, Moscow (1971), pp. 262–268.
G. G. Sudakov, “Calculation of some self-similar three-dimensional flows with separation,” Uch. Zap. TsAGI,6, 109 (1975).
S. Leibovich, “Vortex decay,” in: Vortex Motions of Fluids [Russian translation], Mir, Moscow (1979), pp. 160–196.
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 53–60, September–October, 1982.
Rights and permissions
About this article
Cite this article
Betyaev, S.K., Gaifullin, A.M. Large-scale structure of the core of a spiral discontinuity in a fluid. Fluid Dyn 17, 698–704 (1982). https://doi.org/10.1007/BF01090148
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01090148