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The present paper is concerned with the well-posedness theory for non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. Differently from previous works, we consider here the full odd viscosity tensor.…

Analysis of PDEs · Mathematics 2024-01-31 Francesco Fanelli , Alexis F. Vasseur

When a suspension freezes, a compacted particle layer builds up at the solidification front with noticeable implications on the freezing process. In a directional solidification experiment of monodispersed suspensions in thin samples, we…

Soft Condensed Matter · Physics 2019-05-08 Brice Saint-Michel , Marc Georgelin , Sylvain Deville , Alain Pocheau

In this paper, we derive the closed form analytical solutions for the effective viscosity of the suspensions of solid spheres that take into account the size effects. This result is obtained using the solution for the effective shear…

Soft Condensed Matter · Physics 2020-08-26 Y. O. Solyaev , S. A. Lurie , N. A. Semenov

To describe many-particle systems suspended in incompressible low-Reynolds-number fluids, effective hydrodynamic interactions can be introduced. Here, we consider particles embedded in elastic media. The effective elastic interactions…

Soft Condensed Matter · Physics 2017-02-07 Mate Puljiz , Shilin Huang , Günter K. Auernhammer , Andreas M. Menzel

The settling dynamics of spherical and elliptical particles in a viscous Newtonian fluid are investigated numerically using a finite difference technique. The terminal velocity for spherical particles is calculated for different system…

Soft Condensed Matter · Physics 2009-10-31 Gerald H. Ristow

Conventionally, a microscopic particle that performs a reciprocal stroke cannot move through its environment. This is because at small scales, the response of simple Newtonian fluids is purely viscous and flows are time-reversible. We show…

Fluid Dynamics · Physics 2012-08-21 Nathan C. Keim , Mike Garcia , Paulo E. Arratia

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

Classical Stokes' drift is the small time-averaged drift velocity of suspended non-diffusing particles in a fluid due to the presence of a wave. We consider the effect of adding diffusion to the motion of the particles, and show in…

Classical Physics · Physics 2009-10-31 Kalvis M. Jansons , G. D. Lythe

The main motivation of this work is the quantitative prediction and description of particle manipulation (displacement across streamlines) in microfluidic flow. Much attention has been paid recently to placing particles in fast oscillatory…

Fluid Dynamics · Physics 2026-03-24 Xuchen Liu

We present a multi-scale model to study the attachment of spherical particles with a rigid core, coated with binding ligands and in equilibrium with the surrounding, quiescent fluid medium. This class of fluid-immersed adhesion is…

Biological Physics · Physics 2013-09-10 Sarthok Sircar , John G. Younger , David M. Bortz

In the analysis of the long-time behaviour of two-dimensional incompressible viscous fluids, Oseen vortices play a major role as attractors of any homogeneous solution with integrable initial vorticity. As a first step in the study of the…

Analysis of PDEs · Mathematics 2007-05-23 L. Miguel Rodrigues

When a droplet is generated, the ligament connecting the drop to the nozzle thins down and eventually pinches off. Adding solid particles to the liquid phase leads to a more complex dynamic, notably by increasing the shear viscosity.…

Soft Condensed Matter · Physics 2021-05-24 Virgile Thiévenaz , Sreeram Rajesh , Alban Sauret

We perform direct numerical simulations of a bi-disperse suspension of heavy spherical particles in forced, homogeneous, and isotropic three-dimensional turbulence. We compute the joint distribution of relative particle distances and…

Fluid Dynamics · Physics 2018-12-21 Akshay Bhatnagar , K. Gustavsson , B. Mehlig , Dhrubaditya Mitra

We analyze the behavior of a suspension of active polar particles under shear. In the absence of external forces, orientationally ordered active particles are known to exhibit a transition to a state of non-uniform polarization and…

Soft Condensed Matter · Physics 2010-05-07 Luca Giomi , M. Cristina Marchetti , Tanniemola B. Liverpool

The efficiency of soft particles to stabilize emulsions is examined by measuring their desorption free energy, i.e., the mechanical work required to detach the particle from a fluid interface. Here, we consider rubber-like elastic as well…

Soft Condensed Matter · Physics 2020-08-20 Hadi Mehrabian , Jacco H. Snoeijer , Jens Harting

We consider compressible pressureless fluid flows in Lagrangian coordinates in one space dimension. We assume that the fluid self-interacts through a force field generated by the fluid itself. We explain how this flow can be described by a…

Analysis of PDEs · Mathematics 2014-09-16 Yann Brenier , Wilfrid Gangbo , Giuseppe Savaré , Michael Westdickenberg

We derive a perturbative approach to study, in the large inertia limit, the dynamics of solid particles in a smooth, incompressible and finite-time correlated random velocity field. We carry on an expansion in powers of the inverse square…

Statistical Mechanics · Physics 2009-11-13 Piero Olla , Maria Raffaella Vuolo

In this work, we investigate the dynamics of the number density fluctuations of a dilute suspension of active particles in a linear viscoelastic fluid. We propose a model for the frequency-dependent diffusion coefficient of the active…

Soft Condensed Matter · Physics 2022-11-08 Juan Ruben Gomez-Solano , Rosalio F. Rodriguez , Elizabeth Salinas-Rodriguez

Results from Direct Numerical Simulations of particle relative dispersion in three dimensional homogeneous and isotropic turbulence at Reynolds number $Re_\lambda \sim 300$ are presented. We study point-like passive tracers and heavy…

Fluid Dynamics · Physics 2015-02-19 L. Biferale , A. S. Lanotte , R. Scatamacchia , F. Toschi

We investigate the distribution of relative velocities between small heavy particles of different sizes in turbulence by analysing a statistical model for bidisperse turbulent suspensions, containing particles with two different Stokes…

Fluid Dynamics · Physics 2017-12-20 J. Meibohm , L. Pistone , K. Gustavsson , B. Mehlig
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