HYDRAULIC JUMPS IN A STRAIGHT RECTANGULAR COMPOUND CHANNEL: THEORETICAL APPROACH AND EXPERIMENTAL STUDY

A. BENABDESSELAM, B. ACHOUR, L. HOUICHI

Abstract


In this paper, theoretical developments, regarding the establishment of dimensionless relationships for sequent depths ratio and relative energy loss of hydraulic jumps are achieved in a straight rectangular compound channel. These relationships were given with and without consideration of a volume force Fx, which is assimilated by analogy to Borda-Carnot’s expression. The Experiment was carried out with three different values of the width ratio τy. For each τy ratio, several values of inflow Froude number were considered according to the five inflow ratio depths’ values τz. The experiments proved the validity of the proposed theoretical relationships. The study showed the need to consider the force Fx when the ratio τy reaches the value of 0.5. It reveals also the practical usefulness of the compound channel in terms of energy dissipation capability compared to the rectangular channel.


Keywords


compound channel; depth ratio; energy dissipation; hydraulic jump; volume force; width ratio.

Full Text:

PDF

References


ACHOUR B. (2000). Hydraulic jump in a suddenly widened circular tunnel, Journal of Hydraulic Research, 38 (4), pp. 307–311. doi: 10.1080/00221680009498330

AL-KHATIB I.A., GOGUS M. (2014). Φ-indices approach and multivariable regression analysis for prediction of discharge in asymmetric straight compound open channel flows. Flow Measurement and Instrumentation, 38 (4), pp. 82–91. http://dx.doi.org/10.1016/j.flowmeasinst.2014.05.010

AZAMATHULLA H.Md., ZAHIRI A. (2012). Flow discharge prediction in compound channels using linear genetic programming, Journal of hydrology, 454–455, pp. 203–207. http://dx.doi.org/10.1016/j.jhydrol.2012.05.065

BABAALI H., SHAMSAI A., VOSOUGHIFAR H. (2015). Computational Modeling of the Hydraulic Jump in the Stilling Basin with Convergence Walls Using CFD Codes, Arab J. Sci. Eng., 40 (2), pp. 381–395. doi : 10.1007/s13369-014-1466-z

BEIRAMI M.K., CHAMANI M.R. (2010). Hydraulic jump in sloping channels: roller length and energy loss. Canadian Journal of Civil Engineering, 37 (4), pp. 535–543. doi :10.1139/L09-175

CHOW V.T. (1981). Open-Channel Hydraulics. 17th printing, International Student Edition. McGraw-Hill, Tokyo.

FAROOQ R., AHMAD W., HASHMI H.N., SAEED Z. (2016). Computation of Momentum Transfer Coefficient and Conveyance Capacity in Asymmetric Compound Channel, Arab J. Sci. Eng., 41 (10), pp. 4225–4234. doi: 10.1007/s13369-016-2173-8

HABIBZADEH A., LOEWEN M.R., RAJARATNAM N. (2016). Turbulence measurements in submerged hydraulic jumps with baffle blocks. Canadian Journal of Civil Engineering, 43 (6), pp. 553–561. doi :10.1139/cjce-2015-0480

HOUICHI L., DECHEMI N., HEDDAM S., ACHOUR B. (2013). An evaluation of ANN methods for estimating the lengths of hydraulic jumps in U-shaped channel, Journal of Hydroinformatics, IWA Publishing, 15 (1), pp. 147–154. doi:10.2166/hydro.2012.138

KHATTAOUI M., ACHOUR B. (2012). Ressaut hydraulique en lit composé/Hydraulic jump in compound channel, Le Journal de l'Eau et de l’Environnement, 20 (1), pp. 44–51. (in French). http://share.ensh.dz/index.php/ljee/article/view/261

LIAO H., KNIGHT D.W. (2007). Analytic stage-discharge formulae for flow in straight trapezoidal open channels, Advances in Water Resources, 30 (11), pp. 2283–2295. doi : 10.1016/j.advwatres.2007.05.002

LIU J.L., WANG Z.Z., LENG C.J., ZHAO Y.F. (2012). Explicit equations for critical depth in open channels with complex compound cross sections, Flow Measurement and Instrumentation, 24 (2), pp. 13–18. doi: 10.1016/j.flowmeasinst.2011.12.005

LIU C., LUO X., LIU X., YANG K. (2013). Modeling depth-averaged velocity and bed shear stress in compound channels with emergent and submerged vegetation, Advances in Water Resources, 60 (10), pp. 148–159. http://dx.doi.org/10.1016/j.advwatres.2013.08.002

MORVAN H., KNIGHT D., WRIGHT N., TANG X., CROSSLEY A. (2008). The concept of roughness in fluvial hydraulics and its formulation in 1D, 2D and 3D numerical simulation models, Journal of Hydraulic Research, 46 (2), pp. 191–208. doi :10.1080/00221686.2008.9521855

PELTIER Y., PROUST S., RIVIERE N., PAQUIER A., SHIONO K. (2013). Turbulent flows in straight compound open-channel with a transverse embankment on the floodplain.,Journal of Hydraulic Research, 51 (4), pp. 446–458. doi: 10.1080/00221686.2013.796499

PROUST S., BOUSMAR D., RIVIÈRE N., PAQUIER A., ZECH Y. (2010). Energy losses in compound open channels,Advances in Water Resources, 33 (1), pp. 1–16. doi: 10.1016/j.advwatres.2009.10.003

RAJARATNAM N. (1995). Energy dissipators and hydraulic jump, Canadian Journal of Civil Engineering, 22 (3), pp. 649–659. doi :10.1139/l95-075

SAHU M., KHATUA K.K., MAHAPATRA S.S. (2011). A neural network approach for prediction of discharge in straight compound open channel flow, Flow Measurement and Instrumentation, 22 (5), pp. 438–446. doi: 10.1016/j.flowmeasinst.2011.06.009

SHEKARI Y., JAVAN M., EGHBALZADEH A. (2014). Three-dimensional Numerical Study of Submerged Hydraulic Jumps, Arab J. Sci. Eng., 39 (10), pp. 6969–6981. doi : 10.1007/s13369-014-1295-0

WANG H., YANG K.J., CAO S.Y., LIU X.N. (2007). Computation of momentum transfer coefficient and conveyance capacity in compound channels, Journal of hydrodynamics. Ser B, 19 (2), pp. 225–229. doi:10.1016/S1001-6058(07)60052-3

YANG K., CAO S., LIU X. (2007). Flow resistance and its prediction methods in compound channels, Acta Mech. Sin., 50 (1), pp. 105–113. doi: 10.1007/s10409-006-0043-4

YANG Z., GAO W., HUAI W. (2012). Estimation of discharge in compound channels based on energy concept, Journal of Hydraulic Research, 50 (1), pp. 105–113. doi : 10.1080/00221686.2011.638212


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.