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Effect of vortices on the discharge coefficient for flow of a liquid through an orifice

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Hydrotechnical Construction Aims and scope

Conclusions

  1. 1.

    When ΓΓ > 0.8 (Re>1000, Fr≥2.5, and R/d≤6.7) the air core of a vortex penetrates a drain and causes a decrease of the discharge coefficient.

  2. 2.

    When Fr≥2.5 and Re>30,000 the relative discharge coefficient does not depend on the Froude and Reynolds numbers.

  3. 3.

    In the region ΓΓ = 0.8−2.1 (when Re>30,000, Fr≥2.5, and R/d=2.5–6.7) the dependence of the realtive discharge coefficient on the reduced circulation is linear.

  4. 4.

    For each value of R/d when Re>30,000 there is a limiting value of ΓΓ max, above which the discharge coefficient remains practically constant.

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Literature Cited

  1. A. D. Al'tshul', Local Hydraulic Resistances during Motion of Viscous Liquids [in Russian], Gostoptekhizdat (1962).

  2. A. H. Gibson, Hydraulics and Its Applications [Russian translation], Gosénergoizdat (1934).

  3. R. C. Kolf and P. B. Zielinski. The vortex chamber as an automatic flow-control device, Proc. ASCE,85, Nr HV 12 (1959).

  4. A. D. Al'tshul', “Discharge of liquids with a high viscosity through orifices,” Neftyanoe Khozyaistva, No. 2 (1959).

  5. M. Sh. Margolin, Suspension Device of a Current Meter for Measuring the Peripheral Velocities of Axisymmetric Circulation [in Russian], Author's certificate No. 200796 with priority from April 20, 1965.

  6. C. Camichel and L. Escande, Similitude Hydrodinamique et Technique des Modeles Reduits, Paris (1938).

  7. V. S. Fokeev, Vortices and Their Use at Power Stations [in Russian], Izd-vo “Énergiya” (1964).

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Authors
  1. A. D. Al'tshul'
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  2. M. Sh. Margolin
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Additional information

Translated from Gidrotekhnicheskoe Stroitel'stvo, No. 6, pp. 32–34, June, 1968.

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Al'tshul', A.D., Margolin, M.S. Effect of vortices on the discharge coefficient for flow of a liquid through an orifice. Hydrotechnical Construction 2, 507–510 (1968). https://doi.org/10.1007/BF02378133

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  • DOI: https://doi.org/10.1007/BF02378133

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