2019
DOI: 10.1017/jfm.2019.344
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Friction factor decomposition for rough-wall flows: theoretical background and application to open-channel flows

Abstract: A theoretically based relationship for the Darcy–Weisbach friction factor $f$ for rough-bed open-channel flows is derived and discussed. The derivation procedure is based on the double averaging (in time and space) of the Navier–Stokes equation followed by repeated integration across the flow. The obtained relationship explicitly shows that the friction factor can be split into at least five additive components, due to: (i) viscous stress; (ii) turbulent stress; (iii) dispersive stress (which in turn can be su… Show more

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Cited by 76 publications
(92 citation statements)
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“…A similar conclusion follows from the study of Nikora et al. (2019), who investigated bed friction mechanisms in rough-bed OCFs. The mechanism regulating the friction at the bed appeared to be related to the interplay between turbulence and SCs.…”
Section: Introductionsupporting
confidence: 84%
See 1 more Smart Citation
“…A similar conclusion follows from the study of Nikora et al. (2019), who investigated bed friction mechanisms in rough-bed OCFs. The mechanism regulating the friction at the bed appeared to be related to the interplay between turbulence and SCs.…”
Section: Introductionsupporting
confidence: 84%
“…Considering smooth triangular-shaped ridges on a hydraulically rough bed, it has been noted that (iii) the contribution of SCs to the overall friction factor depends on their size, attaining a maximum when they are comparable to the flow depth (Zampiron et al 2020a,b). A similar conclusion follows from the study of Nikora et al (2019), who investigated bed friction mechanisms in rough-bed OCFs. The mechanism regulating the friction at the bed appeared to be related to the interplay between turbulence and SCs.…”
Section: Introductionsupporting
confidence: 79%
“…Care needs to be taken to avoid buoyancy effects, if the density of the material used for model production is lower than that of water [10]. Moreover, it is possible to scale the DEM with a desired scale factor before manufacturing the model, and CNC-manufacturing methods can also be used to produce scaled moulds [22,23].…”
Section: Introductionmentioning
confidence: 99%
“…The blocks used for the milling can consist of different materials such as foams and metal alloys, and the accuracy of the milled surface or object depends on the accuracy of the DEM as well as the size of the milling head [10]. The milling technique is used in various hydraulic laboratories for the construction of scale models and has already been successfully applied to construct artificial self-affine rough beds, scaled versions of rough waterways, conduits, and hydraulic structures [10,22,23,[32][33][34]. The accuracy of milled models is directly visible by eye, but has seldomly been quantified.…”
Section: Introductionmentioning
confidence: 99%
“…The fluid flow was resolved using Hydro3D, a well-validated LES research code [28][29][30][31][32][33][34], including geometry-resolved simulations of vertical axis turbines [4,15] and the validation of an ALM for HATs [35]. The governing equations resolved in Hydro3D are the spatially filtered Navier-Stokes equations for turbulent, incompressible, three-dimensional flow:…”
Section: Large-eddy Simulationmentioning
confidence: 99%