Abstract
A two-dimensional numerical procedure has been developed for the calculation of both supercritical and subcritical, steady flows in open channels with curvature or varying cross-sections. The flow is assumed to be fully mixed in the vertical direction so that vertical variations may be neglected. The mixing length hypothesis of Prandtl is used to specify the turbulent diffusion coefficients in the calculation of subcritical, turbulent flows. The present predictions of the wave heights and the wave angles of the supercritical flow in various channels agree very well with experimental data, except at high Froude numbers. The present predictions are equally good or better than those calculated using the method of characteristics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Busemann, A. (1931) Gasdynamik. Handbuch der Experimentalphysik, vol. IV.
Demuren, A.O. (1979) Prediction of steady surface-layer flows. University of London, phd. thesis.
Ippen, A.T., Dawson, J.H. (1949) Design of channel contractions. Trans.ASCE. 116, 326.
Knapp, R.T. (1949) Design of channel curves for supercritical flow. Trans.ASCE. 116, 296.
McGuirk, J.J., Rodi, W. (1978) A depth-averaged mathematical model for the near-field of side discharges into open channel flow. J. Fluid Mech. 86, 761.
Patankar, S.V., Spalding, D.B. (1972) A calculation procedure for heat mass and momentum transfer in three-dimensional parabolic flows. IJHMT. 15, 1787.
Pavlovie, R.N. (1981) Numerische Berechnung der Wärme-und Stoffausbreitung in Fliissen mit einem tiefengemittelten Modell. Universität Karlsruhe, Doktor-ingenieur-Disseration.
Preiswerk, E. (1940) Application of the methods of gas dynamics to water flows with a free surface. Naca tech. Memo Nos. 934 and 935.
Rastogi, A.K., Rodi, W. (1978) Two and three-dimensional calculations of heat and mass transfer in open channel flows. ASCE, J. hyd. Div. HY3, 397.
Riabouchinsky, D. (1932) Sur l’analogie hydraulique des mouvements d’un fluide compressible. Compte Rendus de l’Acad. de Sci. 195, 998.
Schlichting, H. (1968) Boundary-layer theory. McGraw Hill. Spalding, D.B. (1978) A general computer program for two dimensional parabolic phenomena. HMT series 1, Pergamon Press.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Demuren, A.O. (1982). Numberical Computation of Supercritical and Subcritical Flows in Open Channels with Varying Cross-Sections. In: Holz, K.P., Meissner, U., Zielke, W., Brebbia, C.A., Pinder, G., Gray, W. (eds) Finite Elements in Water Resources. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02348-8_19
Download citation
DOI: https://doi.org/10.1007/978-3-662-02348-8_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02350-1
Online ISBN: 978-3-662-02348-8
eBook Packages: Springer Book Archive