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This work is concerned with the mathematical analysis of the bulk rheology of random suspensions of rigid particles settling under gravity in viscous fluids. Each particle generates a fluid flow that in turn acts on other particles and…

Analysis of PDEs · Mathematics 2021-02-15 Mitia Duerinckx , Antoine Gloria

We investigate theoretically the bifurcation scenario for colloidal suspensions subject to a vertical temperature gradient taking into account the effect of sedimentation. In contrast to molecular binary mixtures, here the thermal…

Pattern Formation and Solitons · Physics 2015-05-13 A. Ryskin , H. Pleiner

A nonlinear two-fluid stochastic hydrodynamical description of velocity and concentration fluctuations in sedimenting suspensions is constructed, and analyzed using self-consistent (SC) and renormalization group (RG) methods. The advection…

Soft Condensed Matter · Physics 2008-02-03 Alex Levine , Sriram Ramaswamy , Robijn Bruinsma

The settling efficiency, and stability with respect to settling, of a dilute suspension of infinite circular cylinders in a quiescent viscoplastic fluid is examined by means of direct numerical simulations with varying solid volume…

Fluid Dynamics · Physics 2018-10-03 A. R. Koblitz , S. Lovett , N. Nikiforakis

Stability of coarse particles against gravity is an important issue in dense suspensions (fresh concrete, foodstuff, etc.). On the one hand, it is known that they are stable at rest when the interstitial paste has a high enough yield…

Soft Condensed Matter · Physics 2012-06-11 Guillaume Ovarlez , François Bertrand , Philippe Coussot , Xavier Chateau

Sedimentation of particulate suspensions in horizontal pipes can lead to formation, growth and consolidation of a solid-like bed which can severely retard pipeline performance. As stagnant flow conditions frequently arise during industrial…

Fluid Dynamics · Physics 2026-05-05 Tanmoy Das , Daniel Lester , Anthony Stickland , Nicky Eshtiaghi

A calculational approach in fluid turbulence is presented. Use is made of the attracting nature of the fluid-dynamic dynamical system. An approach is offered that effectively propagates the statistics in time. Loss of sensitivity to an…

Fluid Dynamics · Physics 2010-05-18 Edsel A. Ammons

Sedimentation of a non-Brownian suspension of hard particles is studied. It is shown that in the low concentration limit a two-particle distribution function ensuring finite particle correlation length can be found and explicitly…

Soft Condensed Matter · Physics 2009-11-11 Bogdan Cichocki , Krzysztof Sadlej

The physics of settling suspensions under shear are investigated by theoretical and numerical analyses of unstable equilibrium solutions to the incompressible Navier-Stokes equations, coupled with an advection-diffusion-settling equation…

Fluid Dynamics · Physics 2026-05-06 Jake Langham , Andrew J. Hogg

Modelling sediment transport in environmental turbulent fluids is a challenge. This article develops a sound model of the lateral transport of suspended sediment in environmental fluid flows such as floods and tsunamis. The model is…

Dynamical Systems · Mathematics 2014-07-08 Meng Cao , A. J. Roberts

Sedimentation of a dispersed solid phase is widely encountered in applications and environmental flows, yet little is known about the behavior of finite-size particles in homogeneous isotropic turbulence. To fill this gap, we perform Direct…

Fluid Dynamics · Physics 2016-04-20 Walter Fornari , Francesco Picano , Luca Brandt

In the first part of this paper, an approximate theory is developed for the leading order concentration dependence of the sedimentation coefficient for rod-like colloids/polymers/macromolecules. To first order in volume fraction $\phi$ of…

Soft Condensed Matter · Physics 2009-10-31 Z. Dogic , A. P. Philipse , S. Fraden , J. K. G. Dhont

This paper studies the sedimentation-consolidation of a double porosity material, such as lumpy clay. Large displacements and finite strains are accounted for in a multidimensional setting. Fundamental equations are derived using a…

Classical Physics · Physics 2008-09-26 Henry Wong , Chin J. Leo , Jean-Michel Pereira , Philippe Dubujet

It is shown that a suspension of particles in a partially-filled, horizontal, rotating cylinder is linearly unstable towards axial segregation and an undulation of the free surface at large enough particle concentrations. Relying on the…

Soft Condensed Matter · Physics 2009-11-07 Rama Govindarajan , Prabhu R. Nott , Sriram Ramaswamy

The rheological properties of suspensions containing high solid fractions are investigated. Attention is focused on viscosity of silicate and magmatic melt systems. A general empirical equation which describes the relative viscosity of…

Geophysics · Physics 2015-06-26 A. Costa

Yield stress fluids are widely used in industrial application to arrest dense solid particles, which can be studied by using a concentrated emulsion as a model fluid. We show in experiments that particle sedimentation in emulsions cannot be…

Soft Condensed Matter · Physics 2020-10-16 Blandine Feneuil , Atle Jensen , Andreas Carlson

We consider $N$ identical inertialess rigid spherical particles in a Stokes flow in a domain $\Omega \subset \mathbb R^3$. We study the average sedimentation velocity of the particles when an identical force acts on each particle. If the…

Analysis of PDEs · Mathematics 2024-05-22 Matthieu Hillairet , Richard M. Höfer

We consider a sedimenting suspension in a Stokes flow, in the presence of a vertical wall. We study the effect of a particle-depleted fluid layer near the wall on the bulk dynamics of the suspension. We show that this effect can be captured…

Analysis of PDEs · Mathematics 2024-04-09 David Gérard-Varet , Amina Mecherbet

Pressure solution is an important process in sedimentary basins, and its behaviour depends mainly on the sediment rheology and temperature distribution. The compaction relation of pressure solution is typically assumed to be a viscous one…

Geophysics · Physics 2015-05-18 Xin-She Yang

The flow of a charged-stabilized suspension through a single constricted channel is studied experimentally by tracking the particles individually. Surprisingly, the behavior is found to be qualitatively similar to that of inertial dry…

Fluid Dynamics · Physics 2018-02-14 Alvaro Marin , Henri Lhuissier , Massimiliano Rossi , Christian J. Kaehler
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