Skip to main content
Log in

Transcritical Flow over a Ramp in an Open Channel

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

Steady free-surface flows over an elongated obstacle located on the channel bottom are studied theoretically and experimentally. For determining the free-surface shape and the main flow parameters, the first and second shallow-water approximations are used. In the second approximation, a solution describing a smooth transition from the subcritical to superctitical flow is found. A mathematical model of the hydraulic jump behind the ramp is constructed. The results of the mathematical modeling are compared with experimental data.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. G. Kiselev, Handbook on Hydraulic Calculations [in Russian], Gosenergoizdat, Moscow (1957).

    Google Scholar 

  2. Ven Te Chow, Open-Channel Hydraulics, McGraw Hill, New York (1959).

    Google Scholar 

  3. V. V. Smyslov, Wide-Ramp Spillway Theory [in Russian], Izd. AS Ukr. SSR, Kiev (1956).

    Google Scholar 

  4. R. R. Chugaev, Hydraulics [in Russian], Energoizdat, Leningrad (1982).

    Google Scholar 

  5. F. Serre, “Contribution à l' étude des écoulements permanents et variables dans les canaux,” Houille Blanche, 8, No. 3, 374–388 (1953).

    Google Scholar 

  6. G. B. Whitham, Linear and Nonlinear Waves, Wiley, New York (1974).

    Google Scholar 

  7. N. S. Sivakumaran, T. Tingsanchali, and R. J. Hosking, “Steady shallow flow over curved beds,” J. Fluid Mech., 128, 469–487 (1983).

    Google Scholar 

  8. V. Yu. Lyapidevskii, “Turbulent bore structure in a uniform fluid,” Prikl. Mekh. Tekh. Fiz., 40, No. 2, 56–68 (1999).

    Google Scholar 

  9. S.-J. Lee, G.T. Yates, and T.Y. Wu, “Experiments and analyses of upstream-advancing solitary waves generated by moving disturbances,” J. Fluid. Mech., 199, 569–593 (1989).

    Google Scholar 

  10. R.F. Dresser, “New nonlinear shallow-flow equations with curvature,” J. Hydraul. Res., 16, No. 3, 205–220 (1978).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bukreev, V.I., Gusev, A.V. & Lyapidevskii, V.Y. Transcritical Flow over a Ramp in an Open Channel. Fluid Dynamics 37, 896–902 (2002). https://doi.org/10.1023/A:1022348229361

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022348229361

Navigation