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Slow dynamics in a fluid are studied in one of the most basic systems possible: polydisperse hard spheres. Monodisperse hard spheres cannot be studied as the slow down in dynamics as the density is increased is preempted by crystallisation.…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

We propose a nonlinear hydrodynamical model of granular materials. We show how this model describes the formation of a sand pile from a homogeneous distribution of material under gravity, and then discuss a simulation of a rotating sandpile…

Soft Condensed Matter · Physics 2009-10-31 Scott A. Hill , Gene F. Mazenko

The orientation of small anisotropic particles settling in a turbulent fluid determines some essential properties of the suspension. We show that the orientation distribution of small heavy spheroids settling through turbulence can be…

Fluid Dynamics · Physics 2017-12-27 K. Gustavsson , J. Jucha , A. Naso , E. Lévêque , A. Pumir , B. Mehlig

We study the orientation dynamics of two-dimensional concavo-convex solid bodies more dense than the fluid through which they fall under gravity. We show that the orientation dynamics of the body, quantified in terms of the angle $\phi$…

Fluid Dynamics · Physics 2023-06-05 S. Ravichandran , J. S. Wettlaufer

We use a series of molecular dynamics simulations, and analytical theory, to demonstrate that a system of hard spheres confined to a narrow cylindrical channel exhibits a continuous phase transition from an isotropic fluid at low densities,…

Soft Condensed Matter · Physics 2014-09-18 Mahdi Zaeifi Yamchi , Richard K. Bowles

Steady swimming appears both periodic and stable. These characteristics are the very definition of limit cycles, and so we ask "Can we view swimming as a limit cycle?" In this paper we will not be able to answer this question in full.…

Dynamical Systems · Mathematics 2015-08-05 Henry O. Jacobs

I study vortex ring oscillations in a superfluid, trapped in an elongated trap, under the conditions of the Local Density Approximation. On the basis of the Hamiltonian formalism I develop a hydrodynamic theory, which is valid for an…

Quantum Gases · Physics 2013-11-20 Lev P. Pitaevskii

We theoretically study the behavior of vesicles filled with a liquid of higher density than the surrounding medium, a technique frequently used in experiments. In the presence of gravity, these vesicles sink to the bottom of the container,…

Condensed Matter · Physics 2009-10-28 Martin Kraus , Udo Seifert , Reinhard Lipowsky

We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles…

Analysis of PDEs · Mathematics 2016-10-13 Richard M. Höfer

We study theoretically the behavior of a class of hydrodynamic dipoles. This study is motivated by recent experiments on synthetic and biological swimmers in microfluidic \textit{Hele-Shaw} type geometries. Under such confinement, a…

Fluid Dynamics · Physics 2015-09-30 Eva Kanso , Alan Tsang

The nonlinear behaviour of low-viscosity warped discs is poorly understood. We verified a nonlinear bending-wave theory, in which fluid columns undergo affine transformations, with direct 3D hydrodynamical simulations. We employed a…

Earth and Planetary Astrophysics · Physics 2022-04-06 Hongping Deng , Gordon Ogilvie

Hydrodynamic interactions between two identical elastic dumbbells settling under gravity in a viscous fluid at low-Reynolds-number are investigated within the point-particle model. Evolution of a benchmark initial configuration is studied,…

Fluid Dynamics · Physics 2015-06-23 Marek Bukowicki , Marta Gruca , Maria L. Ekiel-Jezewska

We revisit the dynamics of a permanent-magnetic rigid body submitted to a spatially-uniform steadily-rotating magnetic field in Stokes flow. We propose an analytical parameterisation of the full set of equilibria depending on two key…

Dynamical Systems · Mathematics 2020-02-04 Pauline Ruegg-Reymond , Thomas Lessinnes

We present a unified discussion of three types of near-spherical amoeboid microswimmers, driven by periodic, axially symmetric, achiral deformations (swim strokes): a solid deformable body, a vesicle with incompressible fluid membrane, and…

Soft Condensed Matter · Physics 2025-02-13 Reiner Kree , Annette Zippelius

It is well known that the reversibility of Stokes flow makes it difficult for small microorganisms to swim. Inertial effects break this reversibility, allowing new mechanisms of propulsion and feeding. Therefore it is important to…

Fluid Dynamics · Physics 2022-06-22 T. Redaelli , F. Candelier , R. Mehaddi , B. Mehlig

We show that a two-dimensional system of flocking microswimmers interacting hydrodynamically can be expressed using a Hamiltonian formalism. The Hamiltonian depends strictly on the angles between the particles and their swimming…

Soft Condensed Matter · Physics 2023-05-23 Yuval Shoham , Naomi Oppenheimer

We describe a microfluidic device for studying the orientational dynamics of microrods. The device enables us to experimentally investigate the tumbling of microrods immersed in the shear flow in a microfluidic channel with a depth of 400…

Fluid Dynamics · Physics 2012-06-13 Y. N. Mishra , J. Einarsson , O. A. John , P. Andersson , B. Mehlig , D. Hanstorp

In high-quality conductors, the hydrodynamic regime of electron transport has been recently realized. In this work we theoretically investigate magnetotransport of a viscous electron fluid in samples with electron-impermeable obstacles. We…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 P. S. Alekseev , A. P. Dmitriev

Motivated by the motion of biopolymers and membranes in solution, this article presents a formulation of the equations of motion for curves and surfaces in a viscous fluid. We focus on geometrical aspects and simple variational methods for…

Soft Condensed Matter · Physics 2010-05-26 Thomas R. Powers

On the basis of the linear hydrodynamic equations, we present an analytical theory for the low-Reynolds-number motion of a solid particle moving inside a larger spherical elastic cavity which can be seen as a model system for a fluid…

Fluid Dynamics · Physics 2019-02-11 Abdallah Daddi-Moussa-Ider , Hartmut Löwen , Stephan Gekle