New Developments in a 1D+ ISM Model for Operational Purposes

Kaddi, Yassine; Cierco, François-Xavier; Faure, Jean-Baptiste; Proust, Sébastien

doi:10.1007/978-981-19-1600-7_5

Cited by 1 publication

(2 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although many models were developed that accurately estimate the stage-discharge relations in this geometry, i.e. how the water level varies with total water discharge (Bousmar & Zech 1999;Martin-Vide & Moreta 2008;Proust et al 2009;Kaddi et al 2022), they typically paid little attention to the detailed distribution of the stress across the banks between the main channel and the floodplain. Yet, in this geometry, our parameter α only plays a direct role on these banks, so, unlike most previous studies, we pay special attention to this transitional region between the main channel and the floodplain.…”

Section: Floodplainmentioning

confidence: 99%

“…Many models that deal with the turbulent transfer of momentum were developed in the context of flood management (Bousmar & Zech 1999;Martin-Vide & Moreta 2008;Proust et al 2009;Kaddi et al 2022). These models typically split the channel into several regions (such as the deep main channel and the shallow floodplain) and parameterise the interaction between them.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Momentum transfer across an open-channel, turbulent flow

Popović,

Devauchelle,

Lajeunesse

2024

J. Fluid Mech.

View full text Add to dashboard Cite

The distribution of stress generated by a turbulent flow matters for many natural phenomena, of which rivers are a prime example. Here, we use dimensional analysis to derive a linear, second-order ordinary differential equation for the distribution of stress across a straight, open channel, with an arbitrary cross-sectional shape. We show that this equation is a generic first-order correction to the shallow-water theory in a channel of large aspect ratio. It has two adjustable parameters – the dimensionless diffusion parameter, $\chi$ , and a local-shape parameter, $\alpha$ . By assuming that the momentum is carried across the stream primarily by eddies and recirculation cells with a size comparable to the flow depth, we estimate $\chi$ to be of the order of the inverse square root of the friction coefficient, $\chi \sim C_f^{-1/2}$ , and predict that $\alpha$ vanishes when the flow is highly turbulent. We examine the properties of this equation in detail and confirm its applicability by comparing it with flume experiments and field measurements from the literature. This theory can be a basis for finding the equilibrium shape of turbulent rivers that carry sediment.

show abstract

Section: Floodplainmentioning

confidence: 99%