Flow at an Ogee Crest Axis for a Wide Range of Head Ratios: Theoretical Model

peer reviewedThe discharge coefficient of an ogee crest is a function of the ratio of the effective head to the design head. The purpose of the present study is to derive a theoretical model of this relation, which does not depend on empirical coefficients and whose predictions over a wide range of head ratios are accurate enough for practical use. The developments consider unsubmerged ogee crests without approach flow or lateral contraction effects, heads large enough to enable surface tensions to be neglected, and heads small enough to avoid flow separation. The method is based on potential flow theory, depth integration in a curvilinear reference frame, and critical flow theory. The characteristics of the crest shape are defined by the trajectory of a free jet passing over the crest at the design head. The dimensionless equations show that the position of the critical section is not at the apex of the crest. Nevertheless, they also suggest an approximate equation at the apex of the crest from which the discharge coefficient is derived, together with the local water depth, velocity, and pressure distribution. The results compare well with experimental data for head ratios between 0 and 5, which validates the underlying assumptions of the theoretical model.11. Sustainable cities and communitie

Experimental Study of the Interaction Bewteen a Turbulent Flow and a River Biofilm Growing on Macrorugosities

Source: ICHE Conference Archive - https://mdi-de.baw.de/icheArchiv

Ground deformation monitoring of the eruption offshore Mayotte

In May 2018, the Mayotte island, located in the Indian Ocean, was affected by an unprecedented seismic crisis, followed by anomalous on-land surface displacements in July 2018. Cumulatively from July 1, 2018 to December 31, 2021, the horizontal displacements were approximately 21 to 25 cm eastward, and subsidence was approximately 10 to 19 cm. The study of data recorded by the on-land GNSS network, and their modeling coupled with data from ocean bottom pressure gauges, allowed us to propose a magmatic origin of the seismic crisis with the deflation of a deep source east of Mayotte, that was confirmed in May 2019 by the discovery of a submarine eruption, 50 km offshore of Mayotte ([Feuillet et al., 2021]). Despite a non-optimal network geometry and receivers located far from the source, the GNSS data allowed following the deep dynamics of magma transfer, via the volume flow monitoring, throughout the eruption

Physical modelling of overbank flows with a groyne set on the floodplain

Si généralement, les variations de sections en travers des rivières naturelles ou anthropisées sont progressives et continues, au droit de certains biefs, des obstacles transversaux et discontinus (naturels ou artificiels) peuvent partiellement ou totalement bloquer les plaines d’inondation. L’écoulement dans la plaine d’inondation est dès lors contracté par l’obstacle, qui promeut le développement de zones de recirculation de part et d’autre de l’obstacle, entraînant une réduction de la section d’écoulement et la génération d’échanges de masse entre lits qui viennent se superposer aux interactions turbulentes. Nous nous sommes intéressés à la modélisation physique de ces écoulements et nous avons particulièrement étudié les distorsions introduites par l’obstacle sur la turbulence dans l’écoulement. Ce travail est basé sur de nouvelles expériences menées dans deux canaux à lit composé. Un jeu complet de données d’écoulements rapidement variés en présence d’un épi dans la plaine d’inondation. Les effets sur les paramètres hydrauliques de la superposition des deux problématiques que sont (i) les écoulements en géométries composées et (ii) les écoulements rapidement variés au voisinage d’un obstacle ont ensuite été analysés. Finalement, les processus physiques dominant dans ces écoulements ont été identifiésIf in natural or anthropized rivers, the river cross-section generally gradually and continuously varies, transversal and discontinuous obstacles either natural or artificial may partially or totally block off floodplains. The flow overbanking in the floodplain is therefore contracted by this obstacle which then promotes two recirculation zones of both sides of the obstacle, resulting in a reduction of the flow section and in the generation of strong mass exchange between channels that superimposes to the classical turbulent interactions. New experiments are conducted in two different compound channels: rapidly varied flows in compound channel with a groyne set on the floodplain. Flows with various groyne lengths and total discharges were investigated. Effects on the hydraulic parameters of the superimposition of the two problems that are (i) flow in compound geometry and (ii) rapidly varied flow in the vicinity of a thin obstacle were analysed. Finally, dominance of physical processes in such flow configuration is discusse

Modélisation physique des écoulements débordants en présence d’un épi placé dans la plaine d’inondation

If in natural or anthropized rivers, the river cross-section generally gradually and continuously varies, transversal and discontinuous obstacles either natural or artificial may partially or totally block off floodplains. The flow overbanking in the floodplain is therefore contracted by this obstacle which then promotes two recirculation zones of both sides of the obstacle, resulting in a reduction of the flow section and in the generation of strong mass exchange between channels that superimposes to the classical turbulent interactions. New experiments are conducted in two different compound channels: rapidly varied flows in compound channel with a groyne set on the floodplain. Flows with various groyne lengths and total discharges were investigated. Effects on the hydraulic parameters of the superimposition of the two problems that are (i) flow in compound geometry and (ii) rapidly varied flow in the vicinity of a thin obstacle were analysed. Finally, dominance of physical processes in such flow configuration is discussedSi généralement, les variations de sections en travers des rivières naturelles ou anthropisées sont progressives et continues, au droit de certains biefs, des obstacles transversaux et discontinus (naturels ou artificiels) peuvent partiellement ou totalement bloquer les plaines d’inondation. L’écoulement dans la plaine d’inondation est dès lors contracté par l’obstacle, qui promeut le développement de zones de recirculation de part et d’autre de l’obstacle, entraînant une réduction de la section d’écoulement et la génération d’échanges de masse entre lits qui viennent se superposer aux interactions turbulentes. Nous nous sommes intéressés à la modélisation physique de ces écoulements et nous avons particulièrement étudié les distorsions introduites par l’obstacle sur la turbulence dans l’écoulement. Ce travail est basé sur de nouvelles expériences menées dans deux canaux à lit composé. Un jeu complet de données d’écoulements rapidement variés en présence d’un épi dans la plaine d’inondation. Les effets sur les paramètres hydrauliques de la superposition des deux problématiques que sont (i) les écoulements en géométries composées et (ii) les écoulements rapidement variés au voisinage d’un obstacle ont ensuite été analysés. Finalement, les processus physiques dominant dans ces écoulements ont été identifié

Meandering jets in shallow rectangular reservoir

peer reviewedIn this article, meandering flows in a shallow rectangular reservoir are experimentally and numerically investigated. Two experiments were performed in a smooth shallow horizontal flume and the surface velocity fields were measured by Large-Scale PIV (LSPIV). The flow conditions were chosen in such a way that the friction regime of both flows was different. These flows were then modelled using the academic code WOLF2D, which solves the 2D shallow water equations and uses a depth-averaged k- model for modelling turbulence. The main characteristics of the measured and simulated flows were finally extracted from a Proper Orthogonal Decomposition (POD) of the surface velocity fields and depth-averaged velocity fields respectively and were compared. When the mean fluctuating kinetic energy of the considered POD mode is greater than 1×10-5 m²/s², the numerical modelling and the experiments are in good agreement whatever the friction regime of the flow

Meandering jets in shallow rectangular reservoirs: POD analysis and identification of coherent structures

The effect of the shallowness on meandering jets in a shallow rectangular reservoir is investigated. Four meandering flows were investigated in an experimental shallow rectangular reservoir. Their boundary conditions were chosen to cover a large range of friction numbers (defined with the sudden expansion width). Due to the unsteady characteristics of the flows, a Proper Orthogonal Decomposition of the fluctu-ating part of the surface velocity fields measured using LSPIV was used for discriminating the flow struc-tures responsible for the meandering of the jet. Less than 1 % of the calculated POD modes significantly contribute to the meandering of the jet and two types of instability are in competition in such a flow con-figuration. The sinuous mode is the dominant mode in the flow and it induces the meandering of the flow, while the varicose mode is a source of local mixing and weakly participates to the flow. The fluctuating velocity fields were then reconstructed using the POD modes corresponding to 80% of the total mean fluctuating kinetic energy and the coherent structures were identified using the residual vorticity, their centres being localised using a topology algorithm. The trajectories of the structures centres emphasize that at high friction number the coherent structures are small and laterally paired in the near, middle and far fields of the jet, while with decreasing friction number the structures merge into large horizontal vortices in the far-field of the jet, their trajectories showing more variability in space and time. The analysis of the stability regime finally reveals that the sinuous mode is convectively unstable and may become absolutely unstable at the end of the reservoir when the friction number is small

Experimental investigation of meandering jets in shallow reservoirs

Meandering flows in rectangular shallow reservoirs were experimentally investi- gated. The characteristic frequency, the longitudinal wave length and the mean lateral exten- sion of the meandering jet were extracted from the first paired modes, obtained by a proper orthogonal decomposition of the surface velocity field measured by large scale PIV. The depth-normalised characteristic lengths and the Strouhal number were then compared to the main dimensionless numbers characterizing the experiments: Froude number, friction num- ber and reservoir shape factor. The normalised wave length and mean lateral extension of the meandering jet are neither correlated with the Froude number nor with the reservoir shape factor; but a clear relationship is found with the friction number. Similarly, the Strouhal num- ber is found proportional to a negative power of the friction number. In contrast, the Froude number and the reservoir shape factor enable to predict the occurrence of a meandering flow pattern: meandering jets occur for Froude number greater than 0.21 and for a shape factor smaller than 6.2

Closure to "Energy Dissipation and Turbulent Production in Weak Hydraulic Jumps" by E. Mignot and R. Cienfuegos

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