Roll-waves prediction in dense granular flows

Cristo, Cristiana Di; Iervolino, Michele; Vacca, Andrea; Zanuttigh, Barbara

doi:10.1016/j.jhydrol.2009.08.008

Cited by 27 publications

(12 citation statements)

References 14 publications

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“…With the aid of expressions (8), (11) and (18), it is easily verified that F * is real provided that γ > 0. For sake of clarity, Figure 2 represents the celerity of the two gravity waves along with the one of the kinematic wave for the case n = 1 and Φ = 0 (Newtonian fluid on impermeable bottom), in which * F =0.577.…”

Section: Governing Equationsmentioning

confidence: 99%

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Gravity-driven flow of a shear-thinning power-law fluid over a permeable plane

Cristo

Iervolino²,

Vacca³

2013

ams

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The flow of a thin layer of power-law fluid on a porous inclined plane is considered. The unsteady equations of motion are depth-integrated according to the von Karman momentum integral method. The variation of the velocity distribution with the depth is accounted for, and it is furthermore assumed that the flow through the porous medium is governed by the modified Darcy's law. The stability condition is deduced considering the hierarchy of kinematic and gravity waves. The response of the linearized model to a Dirac-delta disturbance in unbounded domain is analytically deduced, in both stable and unstable conditions 1624 C. Di Cristo, M. Iervolino and A. Vacca of flow. The influence of the effect of power-law exponent and bottom permeability on the disturbance propagation is finally analyzed, suggesting indications about the choice of the bottom permeability in order to improve the performance of industrial processes.

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Section: Governing Equationsmentioning

confidence: 99%

“…However, the complete solution of the corresponding linearized flow model has not been deduced. As far as the impermeable bed case is concerned, the solution of the linearized flow model allowed to enlighten the essential flow features of the waves for both Newtonian [17,18,38,34,13,14] and non-Newtonian [11,15,16] fluids.…”

Section: Introductionmentioning

confidence: 99%

Gravity-driven flow of a shear-thinning power-law fluid over a permeable plane

Cristo

Iervolino²,

Vacca³

2013

ams

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“…This kind of undulating flow movement is called roll waves. A roll wave is undesired by the civil engineers, since it can periodically increase the flow depth and make the water overflow channel banks or runoff conduits which were designed to contain even more flow (Brock, 1969;Di Cristo et al, 2009). A roll wave can also cause flow intermittency at the channel outlet and produce pronounced local maxima of sediment concentration at their fronts (Liu et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

Response of roll wave to suspended load and hydraulics of overland flow on steep slope

Zhao

Gao

Zhang

et al. 2015

CATENA

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“…For instance, the knowledge of its analytical expression allowed to enlighten some peculiar flow features of the waves [37,57,16], to design automatic controllers for water distribution in openchannel systems [38,39,42], to assess the applicability of simplified methods for flood routing [64], to predict the propagation of long ocean waves into channels [9], to conceptually support semi-empirical criteria aimed to predict roll-waves occurrence [43,34,17,19]. The effectiveness of these semi-empirical criteria also for frictional granular flows [18] corroborates the validity of linearized analysis for media characterised by a more sophisticated behaviour.…”

Section: Introductionmentioning

confidence: 99%

Waves dynamics in a linearized mud-flow Shallow model

Cristo¹,

Iervolino²,

Vacca³

2013

ams

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The study of formation and evolution of waves in mud-flows is strongly motivated by their destructive power. The rheology of these flows, which involve massive solid transport, is often described using linear or non-linear viscoplastic models. The paper analyzes the wave dynamics of mud-flows, presenting the linearized response of the 1D uniform flow of a viscoplastic fluid with yield stress, i.e. Herschel & Bulkley fluid, to a pointwise impulsive forcing term. The solution in either linearly stable or unstable conditions is found, for both subcritical and supercritical flows, through the bilateral inverse Laplace transform. The analysis offers a unified description of the behaviour of different non-newtonian fluids, recovering as particular cases both the Bingham and the power-law models. The influence of the dimensionless governing numbers and of the rheological parameters on the shape and peak of waves is investigated.

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Roll-waves prediction in dense granular flows

Cited by 27 publications

References 14 publications

Gravity-driven flow of a shear-thinning power-law fluid over a permeable plane

Gravity-driven flow of a shear-thinning power-law fluid over a permeable plane

Response of roll wave to suspended load and hydraulics of overland flow on steep slope

Waves dynamics in a linearized mud-flow Shallow model

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