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We investigate the experimental limits of validity of the Stokes-Einstein equation. There is an important difference between diffusion and self-diffusion. There are experimental evidences, that in the case of self-diffusion the product D /T…

Chemical Physics · Physics 2015-05-13 I. Avramov

We describe a criterion for particles suspended in a randomly moving fluid to aggregate. Aggregation occurs when the expectation value of a random variable is negative. This random variable evolves under a stochastic differential equation.…

Statistical Mechanics · Physics 2009-11-10 B. Mehlig , M. Wilkinson , K. Duncan , T. Weber , M. Ljunggren

We study collections of point masses which move freely along the real line and stick together when they collide via perfectly inelastic collisions. We quantify the way particles stick together and explain how to associate a probability…

Analysis of PDEs · Mathematics 2019-12-30 Ryan Hynd

We experimentally study the detachment of drops of granular suspensions using a density matched model suspension with varying volume fraction ({\phi} = 15% to 55%) and grain diameter (d = 20 {\mu}m to 140 {\mu}m). We show that at the…

Soft Condensed Matter · Physics 2011-08-12 Claire Bonnoit , Thibault Bertrand , Éric Clément , Anke Lindner

Microscopic particles suspended in liquids are the prime example of an overdamped system because viscous forces dominate over inertial effects. Apart from their use as model systems, they receive considerable attention as sensitive probes…

Soft Condensed Matter · Physics 2020-02-10 Johannes Berner , Boris Müller , Juan Ruben Gomez-Solano , Matthias Krüger , Clemens Bechinger

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

Using absorbance measurements through a Couette cell containing an emulsion of buoyant droplets, volume fraction profiles are measured at various shear rates. These viscous resuspension experiments allow a direct determination of the normal…

Soft Condensed Matter · Physics 2022-02-01 Mehdi Maleki , Clément de Loubens , Hugues Bodiguel

The equilibrium state of a flexible fiber settling in a viscous fluid is examined using a combination of macroscopic experiments, numerical simulations and scaling arguments. We identify three regimes having different signatures on this…

Shear thickening of particle suspensions is characterized by a transition between lubricated and frictional contacts between the particles. Using 3D numerical simulations, we study how the inter-particle friction coefficient influences the…

Soft Condensed Matter · Physics 2020-01-08 Vishnu Sivadasan , Eric Lorenz , Alfons G. Hoekstra , Daniel Bonn

In computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational advances in individual components of future solvers. At the…

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

Selectivity of particles in a region of space can be achieved by applying external potentials to influence the particles in that region. We investigate static and dynamical properties of size selectivity in binary fluid mixtures of two…

Soft Condensed Matter · Physics 2010-01-18 Roland Roth , Markus Rauscher , Andrew J. Archer

We prove a stability result of constant equilibria for the three-dimensional Navier-Stokes-Poisson system uniform in the inviscid limit. We allow the initial density to be close to a constant and the potential part of the initial velocity…

Analysis of PDEs · Mathematics 2020-11-17 Frédéric Rousset , Changzhen Sun

Particle-tracking microrheology of dilute active (self-propelled) colloidal suspensions is studied by considering the external force required to maintain the steady motion of an immersed constant-velocity colloidal probe. If the probe speed…

Soft Condensed Matter · Physics 2022-08-22 Zhiwei Peng , John F. Brady

Manipulation of small-scale particles across streamlines is the elementary task of microfluidic devices. Many such devices operate at very low Reynolds numbers and deflect particles using arrays of obstacles, but a systematic quantification…

Fluid Dynamics · Physics 2025-03-19 Xuchen Liu , Partha Kumar Das , Sascha Hilgenfeldt

We explore the velocity fluctuations in a fluid due to a dilute suspension of randomly-distributed vortex rings at moderate Reynolds number, for instance those generated by a large colony of jellyfish. Unlike previous analysis of velocity…

Fluid Dynamics · Physics 2019-04-17 Thomas Morrell , Saverio Spagnolie , Jean-Luc Thiffeault

We consider a sheared colloidal suspension under the influence of an external potential that varies slowly in space in the plane perpendicular to the flow and acts on one selected (tagged) particle of the suspension. Using a Chapman-Enskog…

Soft Condensed Matter · Physics 2015-05-28 Grzegorz Szamel , Min Zhang

A new and very general technique for simulating solid-fluid suspensions is described; its most important feature is that the computational cost scales linearly with the number of particles. The method combines Newtonian dynamics of the…

comp-gas · Physics 2009-10-22 Anthony J. C. Ladd

At the same solid volume fraction, bidisperse and polydisperse suspensions display lower viscosities, and weaker normal stress response, compared to monodisperse suspensions. The reduction of viscosity associated with size distribution can…

Soft Condensed Matter · Physics 2018-03-14 Sidhant Pednekar , Jaehun Chun , Jeffrey Morris

Flocculation is the process whereby particles (i.e., flocs) in suspension reversibly combine and separate. The process is widespread in soft matter and aerosol physics as well as environmental science and engineering. We consider a general…

Dynamical Systems · Mathematics 2018-04-24 Inom Mirzaev , David M. Bortz
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