Conclusions
-
1.
The main regularities of the distribution of the three-dimensionless field of mean velocities, Reynolds stresses, and kinematic eddy viscosity over the cross section of rectilinear open channels of a trapezoidal form were found.
-
2.
The existence was confirmed of steady transverse currents which intensify processes of convective mass transfer, have a considerable effect on the cross-sectional distribution of turbulent characteristics, redistribute the hydrodynamic forces over the wetted perimeter, causing the occurrence of their local extremes, are among the main causes of instability of the flow “in the large,” and, consequently, of meandering of channels, and thus act as one of the most important factors of channel-forming activity of a flow on rectilinear stretches of channels.
-
3.
The distribution of the difference of normal Reynolds stresses, which figures in the main term of generation of transverse currents, in open channels of a trapezoidal form has a complex character determined by the interaction of the rigid and free boundaries, is determined mainly by the ratio of the transverse dimensions and value of the steepness of the side slopes, and considerably differs from the analogous distribution in rectangular pipes [13] and open channels [15].
Similar content being viewed by others
Literature cited
A. S. Ofitserov, Secondary Currents [in Russian], Gosstroiizdat, Moscow (1959).
V. P. Rogunovich, “Experimental study of the distribution of mean velocities in two-parameter straight flows,” in: Use of Water Resources [in Russian], Nauka i Tekhnika, Minsk (1969).
M. A. Velikanov, Dynamics of Channel Flows [in Russian], Gosizdat, Moscow, Vol. 1 (1964).
B. A. Fidman, “Hydrodynamics of river currents,” in: Dynamics and Thermics of River Flows [in Russian], Nauka, Moscow (1972).
O. F. Vasil'ev, “Problems of hydrodynamics of large canals,” in: Continuum Dynamics. Nonsteady-State Problems of Continuum Mechanics [in Russian], Akad. Nauk SSSR, Novosibirsk (1985).
E. K. Rabkova, V. I. Elfimov, and Pas Martinez Haver, “Kinematic structure of flow in a trapezoidal channel,” Gidrotekh. Stroit., No. 3 (1984).
J. O. Hinze, Turbulence. An Introduction to Its Mechanism and Theory, McGraw-Hill, N.Y. (1959).
V. P. Rogunovich, A. A. Osipovich, V. F. Yangol', et al., “Instruments for measuring the current velocities of water,” Gidrotekh. Melior., No. 5 (1978).
V. S. Altunin, S. A. Abdurasilov, and A. A. Tursunov, “Role of large-scale turbulence and problems of stability of unlined canals,” Gidrotekh. Stroit., No. 11 (1983).
A. A. Kadyrov, Z. Nuritdinov, and R. Irmukhamedov, On-Site Investigations of Form Parameters and Limiting Current Velocities in the Kazylkum Main Canal [in Russian], SANIIRI, Tashkent (1983).
V. Rodi, “Models of turbulence in the environment,” in: Methods of Calculating Turbulent Flows [Russian translation], Mir, Moscow (1984).
H. A. Einstein and H. Li, “Secondary currents in straight channels,” Trans. Amer. Geophys. Union,36, No. 6, 1085–1088 (1958).
E. Brundrett and W. D. Baines, “The production and diffusion of vorticity in duct flow,” J. Fluid. Mech.,19, 375–394 (1964).
S. N. Ghosh and N. Roy, “Bouncary shear distribution in an open channel,” J. Hydraul. Div. Proc. Amer. Soc. Civ. Eng.,95, No. 4, 967–994 (1970).
A. Tominaga and K. Ezaki, “An experiemntal study on three-dimensional turbulent structure in a rectangular open-channel flow,” Doboku Gakkai Rombunsyu, Proc. Jap. Soc. Civ. Eng., No. 357, 81–88 (1985).
Additional information
Translated from Gidrotekhnicheskoe Stroitel'stvo, No. 9, pp. 48–52, September, 1989.
Rights and permissions
About this article
Cite this article
Shnipov, F.D. Three-dimensional kinematic structure of a flow in trapezoidal channels. Hydrotechnical Construction 23, 557–563 (1989). https://doi.org/10.1007/BF01432069
Issue Date:
DOI: https://doi.org/10.1007/BF01432069