Skip to main content
SpringerLink
Log in

Size of the concrete part of a combined apron below low-head outlet works

  • Published:
Hydrotechnical Construction Aims and scope

Conclusions

  1. 1.

    Calculation of the lower-pool revetment can be reduced to a determination of the length of the concrete platform Lre limited to the size of the first solitary wave and of the edge height a corresponding to the condition of free spreading of the flow on the channel stretch beyond the ledge.

  2. 2.

    For determining the length of the concrete platform Lre we can recommend formulas (10) and (11) derived for the case when the effect of secondary currents of the lateral eddy regions in the initial stretch of expansion can be neglected.

  3. 3.

    Introduction of an expression for the group velocity 0.5< U/c< 1.0 into formulas (10) and (11) makes it possible to take into account the characteristics of the internal structure of the flow, which gives good agreement with the experimental data.

  4. 4.

    The height of the ledge a should meet the condition of free spreading of the flow on the channel stretch beyond the ledge, and for a given size of the riprap d of the revetment it can be determined in preliminary calculations by formulas (16) and (16a) and the size can be determined respectively by formulas (17) and (17a).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. A. G. Solov'eva, “Experimental investigation of planar expansion of a flow in the presence of eddy zones,” Izv. VNIIG,46, 33–52 (1951).

    Google Scholar 

  2. U. A. Ter-Arakelyan, “Embedded apron,” Gidrotekh. Stroit., No. 10 (1957).

  3. A. S. Obrazovskii, “Consideration of the local increase of flow intensity below aprons of overflow dams,” Gidrotekh. Stroit., No. 12 (1957).

  4. A. I. Modzalevskii, “Use of the formulas of an undular jump for calculating hydraulic structures,” MIIVKh. im. V. R. Vil'yamsa, Nauch. Zapis.,21, 142–153 (1959).

    Google Scholar 

  5. L. N. Aleksandrov, “Experimental investigation of turbulence of a flow in the boundary zone on a stretch of sudden lateral expansion,” Izv. VNIIG,73, 233–245 (1963).

    Google Scholar 

  6. N. N. Belyashevskii, N. G. Pivovar, and I. I. Kalantarenko, Calculations of the Lower Pool Below Outlet Works on Weak Foundations [in Russian], Naukova Dumka, Kiev (1973).

    Google Scholar 

  7. A. A. Tursunov, Open Bank Outlet Works [in Russian], LPI im. M. I. Kalinina (1977), pp. 19–36.

  8. M. J. Lighthill, Waves in Fluids [Russian translation], Mir, Moscow (1981).

    Google Scholar 

  9. A. I. Bogomolov and K. A. Mikhailov, Hydraulics [in Russian], Stroiizdat, Moscow (1972).

    Google Scholar 

Download references

Authors
  1. A. E. Andreev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Nemchinov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Gidrotekhnicheskoe Stroitel'stvo, No. 9, pp. 25–28, September, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Andreev, A.E., Nemchinov, V.V. Size of the concrete part of a combined apron below low-head outlet works. Hydrotechnical Construction 21, 524–530 (1987). https://doi.org/10.1007/BF01442636

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01442636

Keywords

Search

Navigation