Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T17:47:20.489Z Has data issue: false hasContentIssue false
  • English
  • Français

The exchanges between the mainstream in an open channel and a recirculating flow on its side at large Froude numbers

Published online by Cambridge University Press:  04 June 2021

Shooka Karimpour Open the ORCID record for Shooka Karimpour [Opens in a new window] ,
Tao Wang  and
Vincent H. Chu
Shooka Karimpour*
Affiliation:
Department of Civil Engineering, York University, Toronto, ONM3J 1P3, Canada
Tao Wang
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, QCH3A 0C3, Canada
Vincent H. Chu
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, QCH3A 0C3, Canada
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The exchange of tracer mass in shallow waters between the mainstream and a recirculating flow to the side is examined in this paper over a wider range of Froude numbers than in any previous studies. We used a well-calibrated weighted essentially non-oscillatory scheme to capture the shock waves while maintaining the stability of the computation. The radiation of the waves suppressed the turbulence and the entrainment of surrounding fluids into a mixing layer. Shock waves began to form in the recirculating flow at a mainstream Froude number of $Fr_{o}\simeq 3$. The effect of the shock waves was a sudden increase in lateral mixing between the mainstream and the recirculating flow, leading to a corresponding sharp drop in a retention-time coefficient. These simulation results for the effect of the waves on mixing in shallow waters at large Froude numbers were consistent with the available data obtained from laboratory experiments.

JFM classification

Waves/Free-surface Flows: Channel flow Mixing: Turbulent mixing
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 920 , 10 August 2021 , A8
Check for updates
Copyright
© The Author(s), 2021. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Alavian, V. & Chu, V.H. 1985 Turbulent exchange flow in shallow compound channel. In Proceedings of the 21st International Congress of IAHR, pp. 446–451.Google Scholar
Altai, W. & Chu, V.H. 1997 Retention time in recirculating flow. In Environmental and Coastal Hydraulics: Protecting the Aquatic Habitat, pp. 9–14. ASCE.Google Scholar
Babarutsi, S., Ganoulis, J. & Chu, V.H. 1989 Experimental investigation of shallow recirculating flows. ASCE J. Hydraul. Engng 115 (7), 906–924.CrossRefGoogle Scholar
Booij, R. 1989 Exchange of mass in harbours. In Proceedings of 23rd IAHR Congress.Google Scholar
Chu, V.H., Liu, F. & Altai, W. 2004 Friction and confinement effects on a shallow recirculating flow. J. Environ. Engng Sci. 3 (5), 463–475.CrossRefGoogle Scholar
Karimpour, S. & Chu, V.H. 2014 Transverse dam-break waves. J. Fluid Mech. 758, R2.Google Scholar
Karimpour, S. & Chu, V.H. 2015 High-order interpolation schemes for shear instability simulations. Intl J. Numer. Meth. Heat Fluid Flow 25 (6), 1340–1360.CrossRefGoogle Scholar
Karimpour, S. & Chu, V.H. 2016 Instability of unbounded transverse mixing layer in shallow waters. Can. J. Civ. Engng 43 (6), 504–510.CrossRefGoogle Scholar
Karimpour, S. & Chu, V.H. 2019 The role of waves on mixing in shallow waters. Can. J. Civ. Engng 46 (2), 134–147.CrossRefGoogle Scholar
Kvočka, D., Ahmadian, R. & Falconer, R.A. 2017 Flood inundation modelling of flash floods in steep river basins and catchments. Water 9 (9), 705.CrossRefGoogle Scholar
McCoy, A., Constantinescu, G. & Weber, L.J. 2008 Numerical investigation of flow hydrodynamics in a channel with a series of groynes. ASCE J. Hydraul. Engng 134 (2), 157–172.CrossRefGoogle Scholar
Pantano, C. & Sarkar, S. 2002 A study of compressibility effects in the high-speed turbulent shear layer using direct simulation. J. Fluid Mech. 451, 329.CrossRefGoogle Scholar
Papamoschou, D. & Roshko, A. 1988 The compressible turbulent shear layer: an experimental study. J. Fluid Mech. 197, 453–477.CrossRefGoogle Scholar
Petaccia, G., Natale, L., Savi, F., Velickovic, M., Zech, Y. & Soares-Fraz ao, S. 2013 Flood wave propagation in steep mountain rivers. J. Hydroinform. 15 (1), 120–137.CrossRefGoogle Scholar
Rockwell, D. & Naudascher, E. 1978 Review – self-sustaining oscillations of flow past cavities. Trans. ASME J. Fluids Engng 100 (2), 152–165.CrossRefGoogle Scholar
Samimy, M. & Elliott, G.S. 1990 Effects of compressibility on the characteristics of free shear layers. AIAA J. 28 (3), 439–445.CrossRefGoogle Scholar
Shields, F.D., Cooper, C.M. & Knight, S.S. 1995 Experiment in stream restoration. ASCE J. Hydraul. Engng 121 (6), 494–502.CrossRefGoogle Scholar
Shu, C.-W. 2009 High order weighted essentially nonoscillatory schemes for convection dominated problems. SIAM Rev. 51 (1), 82–126.CrossRefGoogle Scholar
Uijttewaal, W.S.J., Lehmann, D.V. & van Mazijk, A. 2001 Exchange processes between a river and its groyne fields: model experiments. ASCE J. Hydraul. Engng 127 (11), 928–936.CrossRefGoogle Scholar
Uijttewaal, W.S. 2005 Effects of groyne layout on the flow in groyne fields: laboratory experiments. ASCE J. Hydraul. Engng 131 (9), 782–791.CrossRefGoogle Scholar
Van Prooijen, B.C., Battjes, J.A. & Uijttewaal, W.S.J. 2005 Momentum exchange in straight uniform compound channel flow. ASCE J. Hydraul. Engng 131 (3), 175–183.CrossRefGoogle Scholar
Vreman, A.W. 2004 An eddy-viscosity subgrid-scale model for turbulent shear flow: algebraic theory and applications. Phys. Fluids 16 (10), 3670–3681.CrossRefGoogle Scholar
Wang, T. 2015 Subcritical and supercritical shear flows in shallow waters-numerical simulations and laboratory experiments. PhD thesis, McGill University.Google Scholar
Wang, T., Ghannadi, S.K. & Chu, V.H. 2010 Retention of dye tracer in side basins exchanging with subcritical and supercritical flows. River Flow 2010, 1775–1782.Google Scholar
Xiang, K., Yang, Z., Wu, S., Gao, W., Li, D. & Li, Q. 2020 Flow hydrodynamics of the mixing layer in consecutive vegetated groyne fields. Phys. Fluids 32 (6), 065110.CrossRefGoogle Scholar
Yossef, M.F.M. & de Vriend, H.J. 2010 Sediment exchange between a river and its groyne fields: mobile-bed experiment. ASCE J. Hydraul. Engng 136 (9), 610–625.CrossRefGoogle Scholar
Zhang, J.-B. & Chu, V.H. 2003 Shallow turbulent flows by video imaging method. J. Engng Mech. ASCE 129 (10), 1164–1172.CrossRefGoogle Scholar