Transient hyper-concentrated flows: limits of some hypotheses in mathematical modelling

Berzi, Diego; Larcan, E.

doi:10.1201/b16998-143

Cited by 2 publications

(4 citation statements)

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“…Most previous works either treat the mixture as a single phase fluid [10][11][12][13][14] or, although aware of the differences between the two phases, focus solely on the particle motion resistance [15,16].…”

Section: Discussionmentioning

confidence: 99%

“…Many authors employ some kind of non-Newtonian rheology for modelling the debris flow resistance [10][11][12][13][14]. This approach implies that the debris flow can be approximated as a single-phase fluid.…”

Section: Discussionmentioning

confidence: 99%

“…Finally, a few authors [14,17] employ empirical expressions for the friction slope based on that for purely turbulent fluids (the Manning equation). These are not physically based and there are no rational arguments to justify their usage.…”

Section: Discussionmentioning

confidence: 99%

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New formulas for the motion resistance of debris flows

Berzi

Jenkins

Larcan

2010

WIT Transactions on Engineering Sciences

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We simplify a two-phase theory proposed by Berzi and Jenkins for the uniform motion of a granular-fluid mixture to obtain explicit, analytical relations between the tangent of the angle of inclination of the free surface, the average particle (fluid) velocity and the particle (fluid) depth. Those expressions, valid, in principle, only in uniform flow conditions, can then be employed to express the motion resistance for the particles and the fluid in mathematical models of non-uniform flow, as customary in Hydraulics. The advantages of those formulas with regard to previous, widely employed expressions are also discussed.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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New formulas for the motion resistance of debris flows

Berzi

Jenkins

Larcan

2010

WIT Transactions on Engineering Sciences

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“…Hence, the evaluation of the global flow regime of a current through this parameter, e.g. into depth-integrated mathematical models such as those based on the Saint Venant equations [2,3,4], is not clear.…”

Section: Bagnold Criterion For the Transitionmentioning

confidence: 99%

An application of the Hanks stability parameter for the macroviscous-inertial transition in the surface flow of a neutrally buoyant suspension

Berzi¹,

Larcan²

2006

WIT Transactions on Ecology and the Environment, Vol 90

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This paper focuses on the evaluation of the regime transition in the surface flow of a neutrally buoyant suspension. The revisiting of the 1954 Bagnold paper made by Hunt et al. (2002) showed that the choice of the non-dimensional parameter afterwards known as Bagnold number for evaluating the transition between macroviscous and grain-inertial regime is at least doubtful. Here, a different approach, based on the universal stability parameter of Hanks (1963a, b), is proposed. The application of this transition criterion to the case of the incompressible uniform surface flow of a liquid-solid mixture shows that the Reynolds number is the parameter that really controls the transition between the flow regimes. The critical value of the Reynolds number is a function of the solid volume fraction of the mixture. This value is derived assuming that the critical value of the Hanks stability parameter does not change when referring to the ensemble averaged momentum equations of the continuous phase rather than to the classical Navier-Stokes equations. The present analysis shows that highly concentrated neutrally buoyant suspensions can be characterized by the macroviscous regime even if the Reynolds number is not small, up to an order of 10 5 . Thus, one should pay attention in applying at real scale laws obtained through experiments performed at laboratory scale.

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Transient hyper-concentrated flows: limits of some hypotheses in mathematical modelling

Cited by 2 publications

References 0 publications

New formulas for the motion resistance of debris flows

New formulas for the motion resistance of debris flows

An application of the Hanks stability parameter for the macroviscous-inertial transition in the surface flow of a neutrally buoyant suspension

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