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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]
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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
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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