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A class of steady axisymmetric incompressible flows

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Literature cited

  1. I. S. Gromeka, Some Cases of the Motion of an Incompressible Fluid [in Russian], Kazan' (1981). (Also published in the book: I. S. Gromeka, Collected Works [in Russian], Izd. Akad. Nauk SSSR, Moscow (1952).)

  2. O. F. Vasil'ev, Fundamentals of the Mechanics of Helical and Circulating Flows [in Russian], Gosénergoizdat, Moscow (1958).

    Google Scholar 

  3. G. K. Batchelor, Introduction to Fluid Dynamics, Cambridge University Press (1967).

  4. L. M. Milne-Thomson, Theoretical Hydrodynamics, Macmillan, New York (1950).

    Google Scholar 

  5. V. D. Shafranov, “Equilibrium of plasma in a magnetic field,” in: Problems of Plasma Theory, No. 2 [in Russian], Atomizdat, Moscow (1963).

    Google Scholar 

  6. Grade and Rubin, “Magnetohydrodynamic equilibrium and force-free fields,” in: Proceedings of the Second International Conference on the Peaceful Uses of Atomic Energy, Geneva, 1958, Vol. 1 [in Russian], Atomizdat, Moscow (1959), p. 131.

    Google Scholar 

  7. V. I. Petviashvili, O. A. Pokhotelov, and N. V. Chudin, “Solitary toroidal vortices,” Zh. Eksp. Teor. Fiz.,82, 1823 (1982).

    Google Scholar 

  8. A. G. Yarmitskii, “Viscous flow resulting from the helical motion of a body of revolution,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 47 (1985).

    Google Scholar 

  9. V. E. Pasternak, “Exact solution of the problem of the collision of a nonuniform jet with a plane barrier,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 176 (1986).

    Google Scholar 

  10. N. V. Saltanov, “Generalized potential in the theory of homogeneous helical incompressible flow,” Dokl. Akad. Nauk SSSR,305, 1325 (1989).

    Google Scholar 

  11. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover (1964).

  12. V. A. Gordin and V. I. Petviashvili, “Helicity continuity equation in media with finite conductivity,” Pis'ma Zh. Eksp. Teor. Fiz.,45, 215 (1987).

    Google Scholar 

  13. H. J. Lugt and M. Abboud, “Axisymmetric vortex breakdown with and without temperature effects in a container with a rotating lid,” J. Fluid Mech.,179, 179 (1987).

    Google Scholar 

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Authors and Affiliations

  1. Moscow

    E. B. Gledzer & A. L. Makarov

Authors
  1. E. B. Gledzer
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  2. A. L. Makarov
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 28–34, November–December, 1990.

The authors are grateful to A. M. Obukhov for formulating the problem and also to V. P. Goncharov and V. M. Gryanik for useful consultations.

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Gledzer, E.B., Makarov, A.L. A class of steady axisymmetric incompressible flows. Fluid Dyn 25, 832–838 (1990). https://doi.org/10.1007/BF01049690

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  • DOI: https://doi.org/10.1007/BF01049690

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