Literature cited
C. A. Wan and C. C. Chang, “Measurement of the velocity field in a simulated tornado-like vortex using a three-dimensional velocity probe,” J. Atmos. Sci.,29, No. 1 (1972).
J. S. Turner, “The constraints imposed on tornado-like vortices by the top and bottom boundary conditions,” J. Fluid Mech.,25, pt. 2 (1966).
V. A. Vladimirov, “Formation of vortex filaments from ascending flows above an evaporating liquid,” Dokl. Akad. Nauk SSSR,236, No. 2 (1977).
N. B. Ward, “The exploration of certain features of tornado dynamics using a laboratory model,” J. Atmos. Sci.,29, No. 6 (1972).
C. R. Church, J. T. Snow, and E. M. Agee, “Tornado vortex simulation at Purdue University,” Bull. Am. Meteorol. Soc.,58, No. 9 (1977).
R. Rotunno, “A note on the stability of a cylindrical vortex sheet,” J. Fluid Mech.,87, pt. 4 (1978).
J. R. Weske and T. M. Rankin, “Generation of secondary motions in the field of a vortex,” Phys. Fluids,6, No. 10 (1963).
R. Hide and C. W. Titman, “Detached shear layers in a rotating fluid,” J. Fluid. Mech.,29, pt. 2 (1967).
A. Michalke and A. Timme, “On the inviscid instability of certain two-dimensional vortex-type flows,” J. Fluid Mech.,29, pt. 4 (1967).
F. H. Busse, “Shear flow instabilities in rotating systems,” J. Fluid Mech.,33, pt. 3 (1968).
W. L. Siegmann, “Evolution of unstable shear layers in a rotating fluid,” J. Fluid Mech.,64, pt. 2 (1974).
H. P. Greenspan, The Theory of Rotating Fluids, University Press, Cambridge (1968).
V. A. Vladimirov, “Stability of a tornado type flow,” in: Nonstationary Problems of Dynamics. Dynamics of Continuous Media, No. 37 [in Russian], Izd. Int. Gidrodinamiki, Siberian Branch, USSR Academy of Sciences, Novosibirsk (1978).
An'. Vo Khong and B. A. Tverskoi, “On the influence of rotation on the turbulization of two-dimensional flows,” Dokl. Akad. Nauk SSSR,161, 1030–1032 (1965).
D. V. Nalivkin, Hurricanes, Storms, Tornadoes [in Russian], Nauka, Leningrad (1969).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 44–51, January–February, 1980.
We thank B. A. Lugovtsov and D. G. Akhmetov for interest in the work and helpful discussions.
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Vladimirov, V.A., Tarasov, V.F. Formation of a system of vortex filaments in a rotating liquid. Fluid Dyn 15, 34–40 (1980). https://doi.org/10.1007/BF01089810
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DOI: https://doi.org/10.1007/BF01089810