Conclusions
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1.
A refined differential equation of nonuniform motion was obtained with consideration of variation of the kineticenergy correction factor and Chezy coefficient.
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2.
The possibility of finding an analytical solution of the refined differential equation was examined. The solution was obtained for a hydraulic exponent of the channel X=3 characteristic of wide canals.
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3.
A program for numerical calculation of the equation on a computer was compiled.
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4.
Integration of the equation for various conditions of motion was carried out with the use of the program.
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5.
A detailed analysis of the integration results was made, it was established that the refinement can reach 30–50% compared with the known method of calculating nonuniform motion proposed by Bakhmeteff.
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Literature cited
P. G. Kiselev, Hydraulics. Fundamentals of Fluid Mechanics [in Russian], Énergiya, Moscow (1980).
Hydraulic Reference Data on Calculation of Canals and Spillways [in Russian], MISI, Moscow (1988).
A. D. Al'tshul', Hydraulic Resistances [in Russian], Nedra, Moscow (1982).
S. V. Golodyaevskaya and O. N. Sidorova, “Improvement of methods of hydraulic calculation of canals,” in: Proceedings of the 24th IAHR Congress [in Russian], Madrid (1991).
I. N. Bronshtein and K. A. Semendyaev, Handbook of Mathematics for Engineers and College Students [in Russian], Nauka, Moscow (1981).
Additional information
Translated from Gidrotekhnicheskoe Stroitel'stvo, No. 6, pp. 27–31, June, 1994.
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Borovkov, V.S., Mirzak, S.Y. Refined calculation of nonuniform motion in canals. Hydrotechnical Construction 28, 336–343 (1994). https://doi.org/10.1007/BF01545469
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DOI: https://doi.org/10.1007/BF01545469