Direct simulation of flows of solid-liquid mixtures

Hu, Hsou Mei

doi:10.1016/0301-9322(95)00068-2

Cited by 407 publications

(267 citation statements)

References 28 publications

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“…We used a numerical method, described in detail by Hu (1996), Hu & N. A. Patankar (2001 and Hu, N. A. Patankar & Zhu (2001), to study the lift-off of a single particle in Newtonian and Arbitrary-Lagrangian-Eulerian (ALE) numerical method using body-fitted unstructured finite element grids to simulate particulate flows.…”

Section: Direct Numerical Simulation (Dns) Of Solid-liquid Flowsmentioning

confidence: 99%

Power law correlations for sediment transport in pressure driven channel flows

Patankar

Joseph

Wang

et al. 2002

International Journal of Multiphase Flow

113

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Lift forces acting on particles play a central role in many cases, such as sediment transport, proppant transport in fractured reservoirs, removal of drill cuttings in horizontal drill holes and cleaning of particles from surfaces. We study the problem of lift using 2D direct numerical simulations and experimental data. The lift-off of single particles and many particles in horizontal flows follow laws of similarity, power laws, which may be obtained by plotting simulation data on log-log plots. Data from slot experiments for fractured reservoirs is processed (for the first time) on log-log plots. Power laws with a parameter dependent power emerge as in the case of Richardson-Zaki correlations for bed expansion by drag.

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Section: Direct Numerical Simulation (Dns) Of Solid-liquid Flowsmentioning

confidence: 99%

Power law correlations for sediment transport in pressure driven channel flows

Patankar

Joseph

Wang

et al. 2002

International Journal of Multiphase Flow

113

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“…The solutions of initial value problems for thousands of particles in three dimensions is not a dream for the future, but is an immediate goal towards which this paper takes one small step. Already Hu (1996) has reported simulations of sedimenting and shear flows of 400 spherical particles (discs in 2D) and simulations of thousands of these discs in Newtonian fluids and hundreds in viscoelastic fluids will be reported soon (see Direct simulation of particles in flowing liquids: NSF Grand Challenge Project: http://www.aem.umn.edu/Solid-Liquid_Flows/ for more information and video animations. )…”

Section: Introductionmentioning

confidence: 99%

Direct simulation of the sedimentation of elliptic particles in Oldroyd-B fluids

1998

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Cross stream migration and stable orientations of elliptic particles falling in an Oldroyd-B fluid in a channel are studied. We show that the normal component of the extra stress on a rigid body vanishes; lateral forces and torques are determined by the pressure. Inertia turns the longside of the ellipse across the stream and elasticity turns it along the stream; tilted off-center falling is unstable. There are two critical numbers; elasticity and Mach numbers. When the elasticity number is smaller than critical the fluid is essentially Newtonian with broadside-on falling at the centerline of the channel. For larger elasticity numbers the settling turns the longside of the particle along the stream in the channel center for all velocities below a critical one, identified with a critical Mach number of order one. For larger Mach numbers the ellipse flips into broadside-on falling again. The critical numbers are functions of the channel blockage ratio, the particle aspect ratio and the retardation/relaxation time ratio of the fluid. Two ellipses falling nearby, attract, line-up and straighten-out in a long chain of ellipses with longside vertical, all in a row. Stable, off-center tilting is found for ellipses falling in shear thinning fluids and for cylinders with flat ends in which particles tend align their longest diameter with gravity. Disciplines Engineering | Mechanical Engineering

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“…The position is deduced from this procedure and the mesh has to be redefined in the new fluid domain, by using several techniques such as a ALE-type mesh displacement, before renewing the procedure for the next time step (see e.g. [29,34,41]). The conforming character of the mesh ensures a good accuracy in space; in particular hydrodynamic forces, on which lies the fluid particle coupling, are estimated in a proper way.…”

Section: On the Direct Simulation Of Suspensionsmentioning

confidence: 99%

Towards the simulation of dense suspensions: a numerical tool

Faure¹,

Maury²,

Takahashi³

2009

ESAIM: Proc.

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Abstract. We present a numerical tool which aims at investigating the rheology of dense suspensions of entities such as spheres, red blood cells, polymer chains, or any kind of rigid or deformable bodies, in a viscous fluid. We shall pay a special attention to the short-range interactions between those entities (contact forces, lubrication forces). As for the fluid itself, our strategy consists in avoiding the direct and costly solution of the Stokes equations by integrating only the interaction forces which are likely to play a significant role in the overall behaviour of the suspension, in the spirit of Stokesian Dynamics. We present some preliminary results for suspensions of spheres, Red Blood Cells, and polymer-like chains.Résumé. Nous présentons un outil numérique permettant d'étudier la rhéologie de suspensions denses d'entités telles que des sphères, des globules rouges, des chaînes de polymère et, d'une manière générale, des objets rigides ou déformables dans un fluide visqueux. Nous portons une attention particulière aux interactionsà courte distance entre ces entités (forces de contact, forces de lubrification). En ce qui concerne le fluide lui-même, notre stratégie consisteàéviter le calcul direct (et coûteux) de la solution deséquations de Stokes, en déterminant uniquement les forces d'interaction qui jouent un rôle significatif dans le comportement général de la suspension, dans l'esprit de la méthode dite de Dynamique Stokesienne. Nous présentons quelques résultats préliminaires pour des suspensions de sphères, de globules rouges, et de chaînes de polymère.

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Direct simulation of flows of solid-liquid mixtures

Cited by 407 publications

References 28 publications

Power law correlations for sediment transport in pressure driven channel flows

Power law correlations for sediment transport in pressure driven channel flows

Direct simulation of the sedimentation of elliptic particles in Oldroyd-B fluids

Towards the simulation of dense suspensions: a numerical tool

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