Calculation Method for Conjugate Depths of Hydraulic Jump in Consideration of Wall Resistance

ZHANG Zhi-chang, ZHAO Ying

Journal of Changjiang River Scientific Research Institute ›› 2014, Vol. 31 ›› Issue (7) : 39-43.

PDF(1020 KB)
PDF(1020 KB)
Journal of Changjiang River Scientific Research Institute ›› 2014, Vol. 31 ›› Issue (7) : 39-43. DOI: 10.3969/j.issn.1001-5485.2014.07.007
HYDRAULICS

Calculation Method for Conjugate Depths of Hydraulic Jump in Consideration of Wall Resistance

  • ZHANG Zhi-chang, ZHAO Ying
Author information +
History +

Abstract

On the basis of previous researches on velocity distribution and wall shear stress in wall jet region, the boundary layer development and wall resistance coefficient in hydraulic jump region is studied through the boundary layer momentum integral equation, and according to momentum equation, the calculation method for conjugate depth of hydraulic jump in consideration of wall resistance is obtained. Research shows that in hydraulic jump region, the thickness of boundary layer increases along the flow. The wall resistance coefficient is mainly a function of roller length, depth and Froude number before the hydraulic jump, as well as kinematic viscosity coefficient. Hydraulic jump conjugate depth ratio is a function of Froude number before the hydraulic jump and wall resistance coefficient. Formulas of boundary layer development, conjugate depths of hydraulic jump and wall resistance coefficient are put forward, and the wall resistance coefficient is used to calculate hydraulic jump conjugate depths. The calculation formula is verified by test data from F.G.Carollo and W.C.Hughes, which proves that it has reasonable form, comprehensive parameters, simple calculation and sufficient accuracy.

Key words

hydraulics / wall resistance / conjugate depths / boundary layer / roller length

Cite this article

Download Citations
ZHANG Zhi-chang, ZHAO Ying. Calculation Method for Conjugate Depths of Hydraulic Jump in Consideration of Wall Resistance[J]. Journal of Changjiang River Scientific Research Institute. 2014, 31(7): 39-43 https://doi.org/10.3969/j.issn.1001-5485.2014.07.007

References

[1] 张志昌.水力学(下册)[M].北京:中国水利水电出版社,2011:71-75.(ZHANG Zhi-chang. Hydraulics (Volume Two) [M]. Beijing: China Water Power Press, 2011:71-75.(in Chinese))
[2] RAJARATNAM N. The Hydraulic Jump as a Wall Jet [J]. Journal of the Hydraulics Division, ASCE, 1965, 91(5): 107-132.
[3] 薛朝阳. 考虑摩阻力影响的水跃方程[J].河海大学学报,1993, 21(2):109-114.(XUE Chao-yang. Hydraulic Jump Equation Considering Friction Resistance [J]. Journal of Hohai University, 1993, 21(2):109-114.(in Chinese))
[4] IWAO O, YOUICHI Y. Characteristics of Supercritical Flow below Sluice Gate[J]. Journal of Hydraulic Engineering, 1994, 120(3):332-346.
[5] MCCORQUODALE J, KHALIFA A. Internal Flow in Hydraulic Jumps[J]. Journal of Hydraulic Engineering, 1983, 109(5):684-701.
[6] MYERS G E, SCHAUER J J, EUSTIS R H. Plane Turbulent Wall Jet Flow Development and Friction[J]. Journal of Basic Engineering ASME, 1963, 85(1):47-53.
[7] RAJARATNAM N. Turbulent Jets[M]. Amsterdam: Elsevier Scientific Publishing Co., 1976:221-225.
[8] 郭子中.消能防冲原理与水力设计[M].北京:科学出版,1982:348-374.(GUO Zi-zhong. Principle of Energy Dissipation and Hydraulic Design[M]. Beijing: Science Press, 1982: 348-374. (in Chinese))
[9] CAROLLO F G, FERRO V, PAMPALONE V. Hydraulic Jumps on Rough Beds[J]. Journal of Hydraulic Engineering, 2007, 133(9): 989-999.
[10]HUGHES W C,FLACK J E. Hydraulic Jump Properties over a Rough Bed[J]. Journal of Hydraulic Engineering, 1984, 110(12): 1755-1771.
PDF(1020 KB)

Accesses

Citation

Detail

Sections
Recommended

/

Baidu
map