Skip to main content
Log in

On the Critical Velocities and Depths in a Nonuniform Steady Flow in an Open Channel

  • Published:
Water Resources Aims and scope Submit manuscript

Abstract

The results of experiments discussed in this paper show that some characteristics of gravity waves in finite-depth water can be used in the case of steady flows with a pronounced nonuniformity in open channels. In particular, in addition to the classical critical velocity and depth, the higher (second) critical velocity and (second) critical depth can be used.

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. Bukreev, V.I., Correlation between Theoretical and Experimental Solitary Waves, Prikl. Mekh. Tekhn. Fizika, 1999, vol. 40, no. 3, pp. 44–52.

    Google Scholar 

  2. Bukreev, V.I., Undular Jump in an Open Flow over a Sill, Prikl. Mekh. Tekhn. Fizika, 2001, vol. 42, no. 4, pp. 40–47.

    Google Scholar 

  3. Bukreev, V.I. and Gusev, A.V., Waves Ahead of an Underwater Wing. An Experiment, Izv. Akad. Nauk, Ser. Mekh. Zhidk. Gaza, no. 4, pp. 72–80.

  4. Bukreev, V.I., Romanov, E.M., and Turanov, N.P., Breaking of Gravity Waves in a Neighborhood of Their Second Critical Propagation Speed, Prikl. Mekh. Tekhn. Fizika, 1998, vol. 39, no. 2, pp. 52–58.

    Google Scholar 

  5. Kiselev, P.G., Spravochnik po gidravlicheskim raschetam (Handbook on Hydraulic Calculations), Moscow: Gosenergoizdat, 1957.

    Google Scholar 

  6. Lyapidevskii, V.Yu., Shallow-Water Equations with Dispersion. Hyperbolic Model, Prikl. Mekh. Tekhn. Fizika, 1998, vol. 39, no. 2, pp. 40–46.

    Google Scholar 

  7. Ovsyannikov, L.V., Makarenko, N.I., Nalimov, V.I., et al., Nelineinye problemy teorii poverkhnostnykh i vnutrennikh voln (Nonlinear Problems of the Theory of Surface and Internal Waves), Novosibirsk: Nauka, 1985.

    Google Scholar 

  8. Dreisler, R.E., Comparison of Theories and Experiments for the Hydraulic Dam-Break Wave, Int. Assoc. Sci. Hydrology, 1954, no. 38, pp. 319–328.

  9. Johnson, J.W. and Bermel, K.J., Impulsive Waves in Shallow Water as Generated by Falling Weights, Trans. Amer. Geophys. Union, 1949, vol. 30, no. 2, pp. 223–230.

    Google Scholar 

  10. Lemos, C.M., Higher-Order Schemes for Free Surface Flows with Arbitrary Configurations, Int. J. Numer. Methods Fluids, 1996, vol. 23, no. 6, pp. 545–566.

    Google Scholar 

  11. Longuet-Higgins, M.S. and Fenton, J.D., On the Mass, Momentum, Energy and Circulation of a Solitary Wave. 2., Proc. Roy. Soc. London. Ser. A, 1974, vol. 340, no. 1623, pp. 471–493.

    Google Scholar 

  12. Tsuji, J., Januma, T., and Murata, I., Tsunami Acceding in Rives as an Undular Bores, Natur. Hazards, 1991, vol. 4, nos. 2, 3, pp. 257–267.

    Google Scholar 

  13. Ven Te Show, Open-Channel Hydraulics, New York: McGraw Book Co., 1959.

  14. Wiegel, R.L., Noda, E.L., Kuba, E.M., et al., Water Waves Generated by Landslides in Reservoires, J. Waterways Harbors Div., Proc. ASCE, 1970, vol. 96, no. 2, pp. 307–333.

    Google Scholar 

  15. Wu, S. and Rajaratnam, N., Impinging Jet and Surface Flow Regimes at Drop, J. Hydraul. Res., 1998, vol. 36, no. 1, pp. 69–74.

    Google Scholar 

  16. Zhang, D. and Chwang, A.T., On Solitary Waves Forced by Underwater Moving Objects, J. Fluid Mech., 1999, vol. 389, pp. 119–135.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bukreev, V.I. On the Critical Velocities and Depths in a Nonuniform Steady Flow in an Open Channel. Water Resources 31, 35–40 (2004). https://doi.org/10.1023/B:WARE.0000013570.57703.bc

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:WARE.0000013570.57703.bc

Keywords

Navigation