“…It is difficult to establish a general tendency in the observed deviations, because they occur in both upstream and downstream directions by a relative increase or decrease of the flow velocity. In decelerating flows, the time-averaged velocity profile in gravel-bed rivers may acquire a so-called D-shape ( [16]). …”
“…It can be seen in Figs. 5, 6 and 8 that some velocity profiles have strong deviations from the logarithmic shape in the outer layer, most likely due to permanent 3D structures in the flow [16,5,48,20]). Franca [20] showed the occurrence of organized time-averaged secondary motion in these flows which is confined to the outer layer (z > % 0.80h).…”
Section: Parameterization Of the Logarithmic Layer Of The Double-avermentioning
a b s t r a c tThe logarithmic layer of double-averaged (in time and space) streamwise velocity profiles obtained from field measurements made in the Swiss rivers, Venoge and Chamberonne is parameterized and discussed. Velocity measurements were made using a 3D Acoustic Doppler Velocity Profiler. Both riverbeds are hydraulically rough, composed of coarse gravel, with relative submergences (h/D 50 ) of 5.25 and 5.96, respectively. From the observations, the flow may be divided into three different layers: a roughness layer near the bed, an equivalent logarithmic layer and a surface or outer layer. It was found that a logarithmic law can describe the double-averaged profiles in the layer 0.30 < z/h < 0.75. The parameterization of the logarithmic law is discussed. Special emphasis is given to the geometric parameters roughness and zerodisplacement heights and to the equivalent von Karman constant.
“…It is difficult to establish a general tendency in the observed deviations, because they occur in both upstream and downstream directions by a relative increase or decrease of the flow velocity. In decelerating flows, the time-averaged velocity profile in gravel-bed rivers may acquire a so-called D-shape ( [16]). …”
“…It can be seen in Figs. 5, 6 and 8 that some velocity profiles have strong deviations from the logarithmic shape in the outer layer, most likely due to permanent 3D structures in the flow [16,5,48,20]). Franca [20] showed the occurrence of organized time-averaged secondary motion in these flows which is confined to the outer layer (z > % 0.80h).…”
Section: Parameterization Of the Logarithmic Layer Of The Double-avermentioning
a b s t r a c tThe logarithmic layer of double-averaged (in time and space) streamwise velocity profiles obtained from field measurements made in the Swiss rivers, Venoge and Chamberonne is parameterized and discussed. Velocity measurements were made using a 3D Acoustic Doppler Velocity Profiler. Both riverbeds are hydraulically rough, composed of coarse gravel, with relative submergences (h/D 50 ) of 5.25 and 5.96, respectively. From the observations, the flow may be divided into three different layers: a roughness layer near the bed, an equivalent logarithmic layer and a surface or outer layer. It was found that a logarithmic law can describe the double-averaged profiles in the layer 0.30 < z/h < 0.75. The parameterization of the logarithmic law is discussed. Special emphasis is given to the geometric parameters roughness and zerodisplacement heights and to the equivalent von Karman constant.
“…In the outer region the velocity distribution can be described by the velocity defect law [Prandtl, 1925;Hinze, 1975] obtained from (1) by assuming that the maximum velocity occurs at the free surface [Ferro and Baiamonte, 1994]. In other words, both in the fully turbulent part of the inner region and in the outer region a velocity profile having a logarithmic shape can be assumed [Kirkgoz and Ardiqhoglu, 1997].…”
mentioning
confidence: 99%
“…(2) The bed particles should have no uniform size distribution to allow the development of the lower zone flow. Ferro and Baiamonte [1994] showed that the Dean-Finley profile can be used for establishing the flow velocity profile in a gravel bed channel for a condition of both large-and smallscale roughness: , u-•=b0+b•logz+b2z2(1-z) +b3z2(3-2z), (4) in which b0, b•, b2, and b 3 are numerical constants to be estimated by using velocity measurements. The two cubic components of (4) allow one to obtain a profile with a maximum below the water surface and S-shaped.…”
Abstract. Velocity measurements, previously carried out using both a miniature current flowmeter and an acoustic Doppler velocimeter, are used to verify the applicability of the incomplete self-similarity theory to deduce the velocity profile in a gravel bed channel. Then, for the velocity profiles having the maximum value below the free surface and for the S-shaped profiles, the power velocity distribution is corrected using a new divergence function. For each value of the depth sediment ratio the nondimensional friction factor parameter is calculated by integration of the measured velocity distributions in the different verticals of the cross section. Finally, a semilogarithmic flow resistance equation is empirically deduced.
“…For the condition of large-scale roughness, if d 50 is comparable to D (say D/d 50 < 2.0), the flow can be assumed to be a mixing layer flow [2]. The flow velocity profile may be S-shaped (Figure 1(b)) with near-surface velocities much larger than near-bed velocities [3]. The criterion differentiating the small-scale and large-scale roughness is not clear-cut, and depends on the shape, concentration and arrangement of the roughness elements.…”
A new boundary condition for the three-dimensional Navier-Stokes equation and the vanishing viscosity limit J. Math. Phys. 53, 115617 (2012) Vortex stretching and criticality for the three-dimensional Navier-Stokes equations J. Math. Phys. 53, 115613 (2012) Flow past a normal flat plate undergoing inline oscillations Phys. Fluids 24, 093603 (2012) Conditional regularity of solutions of the three-dimensional Navier-Stokes equations and implications for intermittency J. Math. Phys. 53, 115608 (2012) Additional information on AIP Conf. Proc. Abstract A Reynolds-averaged Navier-stokes equations (RANS) model using the body force method (BFM) has been developed to simulate open-channel flows over gravel beds. The momentum equation is modified by introducing the form drag as an extra body force term to represent the gravel-bed resistance. By applying the body force within the roughness layer of the flow over small-scale roughness, it is found that the body force coefficient f rk varies inversely with the roughness length scale k s . The method is robust, not sensitive to mesh resolution and is easily extended to deal with large scale roughness.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.