This work examines the sudden erosional flow initiated by the release of a dam-break
wave over a loose sediment bed. Extended shallow-water equations are formulated to
describe the development of the surge. Accounting for bed material inertia, a transport
layer of finite thickness is introduced, and a sharp interface view of the
morphodynamic boundary is adopted. Approximations are sought for an intermediate range
of wave evolution, in which equilibration of the sediment load can be assumed
instantaneous but momentum loss due to bed friction has not yet been felt. The resulting
homogeneous hyperbolic equations are mathematically tractable using the Riemann
techniques of gas dynamics. Dam-break initial conditions give rise to self-similar flow
profiles. The wave structure features piecewise constant states, two smoothly varied
simple waves, and a special type of shock: an erosional bore forming at the forefront
of the wave. Profiles are constructed through a semi-analytical procedure, yielding
a geomorphic generalization of the Stoker solution for dam-break waves over rigid
bed. For most flow properties, the predictions of the theoretical treatment compare
favourably with experimental tests visualized using particle imaging techniques.
Laboratory experiments are conducted to study the rheological behaviour of highconcentration granular-liquid mixtures. Steady uniform free-surface flows are obtained using a recirculating flume. Cases in which a loose deposit forms underneath the flow are contrasted with runs for which basal shear occurs along the flume bottom. The granular motions are observed through the channel sidewall, and analysed with recently developed Voronoï imaging methods. Depth profiles of mean velocity, solid concentration, and granular temperature are obtained, and complemented by stress estimates based on force balance considerations. These measurements are used to probe variations in rheological behaviour over depth, and to clarify the role of the granular temperature. The flows are found to evolve a stratified structure. Distinct sublayers are characterized by either frictional or collisional behaviour, and transitions between one and the other occur at values of the Stokes number which suggest that viscous effects intervene. The observed frictional behaviour is consistent with shear cell tests conducted at very low shear rates. On the other hand, the collisional data corroborate both the Bagnold description and the more recent kinetic theories of granular flows, provided that one accounts for the inertia of the interstitial liquid.
[1] We report laboratory experiments on intense bed-load driven by turbulent open-channel flows. Using high-speed cameras and a laser light sheet, we measured detailed profiles of granular velocity and concentration near the sidewall. The profiles provide new information on transport layer structure and its relation to the applied Shields stress. Contrary to expectations, we find that intense bed-load layers respond to changes in flow conditions by adjusting their granular concentration at the base, slightly above the bed. Two mechanisms account for the resulting behavior: stresses generated by immersed granular collisions, and equilibration of the otherwise unstable shear layer by density stratification. Without parameter adjustment, the deduced constitutive relations capture the responses of velocity, concentration, and layer thickness to a ten-fold increase in Shields stress.
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