Skip to Main content Skip to Navigation
Journal articles

Critical slope for laminar transcritical shallow-water flows

Abstract : Backwater curves denote the depth profiles of steady flows in a shallow open channel. The classification of these curves for turbulent regimes is commonly used in hydraulics. When the bottom slope I is increased, they can describe the transition from fluvial to torrential regimes. In the case of an infinitely wide channel, we show that laminar flows have the same critical height hc as that in the turbulent case. This feature is due to the existence of surface slope singularities associated to plug-like velocity profiles with vanishing boundary-layer thickness. We also provide the expression of the critical surface slope as a function of the bottom curvature at the critical location. These results validate a similarity model to approximate the asymptotic Navier–Stokes equations for small slopes I with Reynolds number Re such that ReI is of order 1.
Document type :
Journal articles
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download
Contributor : Open Archive Toulouse Archive Ouverte (oatao) Connect in order to contact the contributor
Submitted on : Monday, October 26, 2015 - 1:57:16 PM
Last modification on : Wednesday, October 20, 2021 - 1:43:00 AM
Long-term archiving on: : Thursday, April 27, 2017 - 2:23:42 PM


Files produced by the author(s)




Olivier Thual, Laurent Lacaze, Miloud Mouzouri, Brahim Boutkhamouine. Critical slope for laminar transcritical shallow-water flows. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2015, vol. 783, pp.PP. 1-11. ⟨10.1017/jfm.2015.559⟩. ⟨hal-01220472⟩



Les métriques sont temporairement indisponibles