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Conditions favorable to the existence of an undulating jump

  • Investigations and Experiments
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Hydrotechnical Construction Aims and scope

Conclusions

  1. 1.

    In analyzing the boundaries of development of an undulating jump, it is necessary to distinguish the conditions of existence of departing and approaching undulating jumps.

  2. 2.

    The breaking process of both a departing and approaching undulating jump does not occur suddenly, but can be divided into several intermediate stages.

  3. 3.

    The scale effect makes itself felt to a certain degree on the criteria of the existence of an undulating jump.

  4. 4.

    In the initial section of an approaching undulating jump, the Froude number Fr1 does not clearly define the formation and conditions of the existence of this phenomenon. An approaching jump that is formed during an inflow from beneath a gate can be broken by increasing the depth of the tailrace for any value of Fr1, which is close to unity as is desired.

  5. 5.

    For field conditions, the Froude number Fr1=2.5 can, in first approximation, be considered a criterion characterizing the start of the break of the first wave for a departing undulating jump, and the coefficient of the degree of nonhydrostatics s1=1.07 as the criterion for an approaching jump; the Froude number Fr1=4.0 and the coefficient of the degree of nonhydrostatics s1=1.14 can be recommended as criteria characterizing the complete break of an undulating jump for the departing and approaching phenomena, respectively.

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Literature cited

  1. V. V. Smyslov, “The height of an undulating jump and a criterion for its conversion to an ideal hydrualic jump,” Izv. Vyssh. Uchebn. Zaved., Stroit. Arkhit., No. 2 (1964).

  2. A. A. Ryabenko, “On the boundary value of the Froude number on conversion from an undulating to an ideal jump in rectangular channels,” Gidrav. Gidrotekh., No. 11 (1971).

  3. M. N. Tsivin, “Problem of the criterion of the breaking of a hydraulic jump with a surface roll,” Gidrav. Sooruzh. Orosit. Sistem,18, No. 5 (1978).

  4. Hydraulic Design of Structures Controlling Turbulent Flows. Design Recommendations [in Russian], Énergiya, Leningrad (1974).

  5. S. M. Slisskii, Hydraulic Design of High-Head Hydraulic Structures [in Russian], Énergoatomizdat, Moscow (1986).

    Google Scholar 

  6. A. M. Shvainshtein, Construction Tunnels. Hydraulic Working Conditions [in Russian], Énergoatomizdat, Moscow (1986).

    Google Scholar 

  7. M. S. Krasnits'kii, Prikl. Mekh., Akad. Nauk UKrSSR,1, No. 2 (1955).

  8. A. N. Mel'nikov, “Investigation of an imperfect water jump in a rectangular prismatic channel with a horizontal bottom,” Author's Abstract of Candidate's Dissertation, Technical Sciences, Novocherkassk (1961).

    Google Scholar 

  9. V. V. Smyslov, Theory of the Broad-Threshold Spillway [in Russian], Akad. Nauk UkrSSR, Kiev (1956).

    Google Scholar 

  10. A. A. Tursunov, “Near-critical state of headless water flows,” Izv. Vsesoyuz. Nauchno-Issled. Inst. Gidrotekh.,90 (1969).

  11. A. M. Kurganov, “Waves during near-critical flow in channels of rectangular, triangular, and parabolic sections,” Izv. Vyssh. Uchebn. Zaved., Stroit. Arkhit., No. 6 (1974).

  12. V. G. Verezemskii, “On the hydraulic jump,” Tr. Gidroproekta, Collection 15 (1968).

  13. A. A. Ryabenko, Problem of the boundary value of the Froude number on conversion from an undulating to an ideal jump in rectangular channels, Theses of Papers Presented at the Eighteenth Republican Scientific-Technical Conference [in Russian], Part 2, Rovno (1969).

  14. M. N. Tsivin, “Criterion of the conversion from an ideal to an undulating hydraulic jump in prismatic horizontal channels,” Izv. Vyssh. Uchebn. Zaved., Stroit. Arkhit., No. 2 (1974).

  15. N. V. Danil'chenko, Hydraulic-jump Parameters — functions of the Froude number, Problems of Hydraulics and Water Supply, Proceedings of the Moscow Institute of Civil Enginnering [in Russian], No. 148 (1976).

  16. A. A. Ryabenko, “Investigation of the jump function, depending on the Froude number for rectangular channels,” Theses of Papers Presented at the Eighteenth Republican Scientific-Technical Conference [in Russian], Part 2, Rovno (1969).

  17. P. I. Kudryavtsev, “The shallow hydraulic jump,” Gidrotekh. Stroit., No. 5 (1948).

  18. A. A. Ryabenko, “On the pressure distribution over the depth of a flow beyond gates with a smoothly configured lower section,” Gidrav. Gidrotekh., No. 18 (1974).

  19. A. I. Modzalevskii, Application of water-jump equations to the design of water-development projects, Scientific reports of the Moscow Institute of Water-Conservation Engineers [in Russian], Vol. 21 (1959).

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Translated from Gidrotekhnicheskoe Stroitel'stvo, No. 12, pp. 29–34, December, 1990.

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Ryabenko, A.A. Conditions favorable to the existence of an undulating jump. Hydrotechnical Construction 24, 762–770 (1990). https://doi.org/10.1007/BF01434602

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