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Three-dimensional analog of a vortical chaplygin column (a generalized hill vortex)

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Literature cited

  1. 1.

    M. A. Lavrent'ev and B. V. Shabat, Problems in Hydrodynamics and Their Mathematical Models [in Russian], Izd. Nauka, Moscow (1973).

  2. 2.

    S. A. Chaplygin, “A case of the vortical motion of a liquid,” Collected Lectures [in Russian], Vol. 2, Izd. Gostekhizdat, Moscow-Leningrad (1948).

  3. 3.

    O. F. Vasil'ev, Principles of the Mechanics of Helical and Recirculating Flows [in Russian], Izd. Gosénergoizdat, Moscow-Leningrad (1958).

  4. 4.

    G. K. Batchelor, Introduction to Fluid Dynamics, Cambridge University Press (1969).

  5. 5.

    A. Érdélyi, Higher Transcendental Functions, McGraw-Hill (1953–1955).

  6. 6.

    E. Jahnke, F. Émde, and F. Lösch, Special Functions [Russian translation], Izd. Nauka (1968).

  7. 7.

    I. S. Gromeka, “Cases of the motion of an incompressible liquid,” Collected Lectures [in Russian], Izd. Akad. Nauk SSSR, Moscow (1952).

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 137–141, S September–October, 1974.

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Yarmitskii, A.G. Three-dimensional analog of a vortical chaplygin column (a generalized hill vortex). J Appl Mech Tech Phys 15, 698–702 (1974). https://doi.org/10.1007/BF00851533

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  • Vortex
  • Mathematical Modeling
  • Mechanical Engineer
  • Industrial Mathematic
  • Hill Vortex