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International Journal of BIM and Engineering Science
Volume 6 , Issue 1, PP: 22-33 , 2023 | Cite this article as | XML | Html |PDF

Title

Study of Energy and Momentum Coefficients for Compound Transitions in an Open Channels

  Manal Gad 1 * ,   Zidan A. R. 2 ,   ElGamal M .A. 3 ,   Abd-Allah M. G. 4

1  Civil Engineering Department, Delta Higher Institute for Engineering and Technology, Mansoura, Egypt
    (eng_manal2030@tahoo.com)

2  Hydr. Department, faculty of engineering, El-Mansoura university, Egypt
    (zidan.r65@hotmail.com)

3  Design of irrigation works, faculty of engineering, El-Mansoura university, Egypt.
    (elgamal.m25@gmail.com)

4  Hydraulics Irrig. and Hydr. Department. faculty of engineering, El-Mansoura university, Egypt.
    (Abdallah.g98@hotmail.com)


Doi   :   https://doi.org/10.54216/IJBES.060102

Received: June 18, 2022 Accepted: January 11, 2023

Abstract :

A series of laboratory experiments was performed in order to investigate momentum and kinetic energy correction coefficients in compound transitions of rectangular channel. Also, In this study, the influence of several independent factors on the kinetic energy and momentum correction coefficients that are connected to the characteristics of the channels transitions is investigated. The Reynolds number varied between 2145.8 and 14388.14. Kinetic energy and momentum correction coefficients, α and β, were computed for different models by using two methods. The first one was based on the calculation of ε and the second method was based on dividing the cross section into slides and using the corresponding velocity for each slides. The results of the present study show that the second one was found to be more accurate than the first method. This method of slides can be used to derive the relationship between both energy and momentum coefficients versus ε values. The values of α and β averaged 1.237 and 1.10, respectively. The energy and momentum coefficients exhibit higher values in the transition zone than the corresponding ones in the upstream section. This is mainly due to turbulence effect. The values of (α-1/β-1) ranges from 2.71 to 2.81, this range don't exceed 4% for different Reynolds number. The error of (α-1/β-1) for different discharges is less than 5% which could be accepted.

Keywords :

Compound transition; Open channel; Energy loss; Momentum; Turblent.

References :

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[4]  Gad, M.H., Zidan, A.R., El-Gamal, M. A., and Abd-Allah, M. G., Compound transitions in open channels. Mansoura University, 2015.

[5]  Zidan, A.R., El-Gamal, M. A., Abd-Allah, M. G. and Gad, M.H.,  Flow characteristics through compound open channels transitions. Journal of Al-Azhar University Engineering Sector, 10 (36), 921-943, 2015.

[6]  Henderson, F. M. (1966). “Open channel flow”, McMillan, New York.

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[8]  Musa, R. and Rusaldy, R. A., Analysis of Changes in the Effect Flow Rate on the Open Channel, International Seminar of Science and Applied Technology, 198, 2020.

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Cite this Article as :
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MLA Manal Gad, Zidan A. R., ElGamal M .A. , Abd-Allah M. G.. "Study of Energy and Momentum Coefficients for Compound Transitions in an Open Channels." International Journal of BIM and Engineering Science, Vol. 6, No. 1, 2023 ,PP. 22-33 (Doi   :  https://doi.org/10.54216/IJBES.060102)
APA Manal Gad, Zidan A. R., ElGamal M .A. , Abd-Allah M. G.. (2023). Study of Energy and Momentum Coefficients for Compound Transitions in an Open Channels. Journal of International Journal of BIM and Engineering Science, 6 ( 1 ), 22-33 (Doi   :  https://doi.org/10.54216/IJBES.060102)
Chicago Manal Gad, Zidan A. R., ElGamal M .A. , Abd-Allah M. G.. "Study of Energy and Momentum Coefficients for Compound Transitions in an Open Channels." Journal of International Journal of BIM and Engineering Science, 6 no. 1 (2023): 22-33 (Doi   :  https://doi.org/10.54216/IJBES.060102)
Harvard Manal Gad, Zidan A. R., ElGamal M .A. , Abd-Allah M. G.. (2023). Study of Energy and Momentum Coefficients for Compound Transitions in an Open Channels. Journal of International Journal of BIM and Engineering Science, 6 ( 1 ), 22-33 (Doi   :  https://doi.org/10.54216/IJBES.060102)
Vancouver Manal Gad, Zidan A. R., ElGamal M .A. , Abd-Allah M. G.. Study of Energy and Momentum Coefficients for Compound Transitions in an Open Channels. Journal of International Journal of BIM and Engineering Science, (2023); 6 ( 1 ): 22-33 (Doi   :  https://doi.org/10.54216/IJBES.060102)
IEEE Manal Gad, Zidan A. R., ElGamal M .A., Abd-Allah M. G., Study of Energy and Momentum Coefficients for Compound Transitions in an Open Channels, Journal of International Journal of BIM and Engineering Science, Vol. 6 , No. 1 , (2023) : 22-33 (Doi   :  https://doi.org/10.54216/IJBES.060102)