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Group properties of the equations of a single jet stream of an ideal fluid

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  1. 1.

    Pai Shih-i, The Theory of Jets [in Russian], Fizmatgiz, 1960.

  2. 2.

    F. I. Frankl, “The approximate calculation of jet potential flow of a fluid, propagating in a thin layer over the surface of a solid body,” PMM, vol. 24, no. 2, 1960.

  3. 3.

    V. Volterra, “Sur les jets liquides,” J. Math. Pures et Appl., vol. 11, no. 1, 1932.

  4. 4.

    A. P. Frolov, “The problem of fluid jet streams over curvilinear surfaces,” Izv. AN SSSR, Mekhanika, no. 5, 1965.

  5. 5.

    G. Taylor, “The dynamics of thin sheets of fluid,” Proc. Roy. Soc. A, vol. 253, no. 1274, 1959.

  6. 6.

    E. Buchwald and H. König, “Dynamische Oberflächenspannung aus Flüssigkeitsglocken,” Ann. Phys., vol. 26, no. 7, 1936.

  7. 7.

    J. Williams, S. F. J. Butler, and M.N. Wood, The Aerodynamics of Jet Flaps, Ministry of Aviation, ARC, R.M, no. 3304, 1963.

  8. 8.

    E. C. Mascell and D. A. Spence, “A theory of the jet flap in three dimensions,” Proc. Roy. Soc. A, vol. 251, no. 1266, 1959.

  9. 9.

    D. Pantazopol and Tz. Comanescu, “Influence of a jet sheet on a deflection of a two-dimensional jet,” Rev. roumaine Sci. tech., Ser. mech. appl., vol. 9, no. 2, 1964.

  10. 10.

    R. P. Fraser, N. Dombrowsky, and J. H. Routley, “The mechanisms of disintegration of liquid sheets in cross-current air streams,” Appl. Sci. res., A, vol. 12, 1963.

  11. 11.

    J.B. Franzini and N.A. Hassan, “Hydraulics of thin films flow,” J. of Hydraulic Division, Proc. of ASCE, vol. 90, no. 3816, part 2, 1964.

  12. 12.

    V.G. Levich, Physicochemical Hydrodynamics [in Russian], Fizmatgiz, 1959. 13. V. V. Struminskii, “A three-dimensional boundary layer on an arbitrary surface,” Dokl. AN SSSR, vol. 108, no. 4, 1956. 14. S. P. Finikov, The Theory of Surfaces [in Russian], Gostekhizdat, 1934. 15. L. V. Ovsyannikov, “Groups and invariant-group solutions of differential equations,” Dokl. AN SSSR, vol. 118, no. 3, 1958.

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Frolov, A.P. Group properties of the equations of a single jet stream of an ideal fluid. J Appl Mech Tech Phys 8, 77–78 (1967). https://doi.org/10.1007/BF00913219

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  • Mathematical Modeling
  • Mechanical Engineer
  • Industrial Mathematic
  • Ideal Fluid
  • Group Property