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We compute the joint distribution of relative velocities and separations of identical inertial particles suspended in randomly mixing and turbulent flows. Our results are obtained by matching asymptotic forms of the distribution. The method…

Fluid Dynamics · Physics 2014-02-24 K. Gustavsson , B. Mehlig

Particles suspended in a viscous fluid circle in optical vortices generated by holographic optical-tweezer techniques [Curtis J E and Grier D G 2003 Phys. Rev. Lett. 90 133901]. We model this system and show that hydrodynamic interactions…

Soft Condensed Matter · Physics 2007-05-23 Michael Reichert , Holger Stark

The short-time motion of Brownian particles in an incompressible Newtonian fluid under shear, in which the fluid inertia becomes important, was investigated by direct numerical simulation of particulate flows. Three-dimensional simulations…

Soft Condensed Matter · Physics 2009-11-13 Takuya Iwashita , Ryoichi Yamamoto

Soft, repulsive run-and-tumble particles display emergent effective interactions as they appear to stick to each other in spite of the absence of attractive forces. This effective attraction emerges at strong enough repulsion and large…

Statistical Mechanics · Physics 2026-05-05 Rosalba Garcia-Millan , Ziluo Zhang , Luca Cocconi , Marius Bothe , Letian Chen , Zigan Zhen , Gunnar Pruessner

Fluid-mediated interactions between particles in a vibrating fluid lead to both long range attraction and short range repulsion. The resulting patterns include hexagonally ordered micro-crystallites, time-periodic structures, and chaotic…

Soft Condensed Matter · Physics 2009-11-07 Greg A. Voth , B. Bigger , M. R. Buckley , W. Losert , M. P. Brenner , H. A. Stone , J. P. Gollub

We consider small oscillations of micro-particles and gaseous bubbles in viscous fluid around equilibrium states under the action of a sinusoidal external force. Exact solutions to the governing integro-differential equations containing…

Fluid Dynamics · Physics 2018-02-15 Yury A. Stepanyants , Hassan K. Hassan

We obtain an implicit equation for the correlation dimension of dynamical systems in terms of an integral over a propagator. We illustrate the utility of this approach by evaluating the correlation dimension for inertial particles suspended…

Fluid Dynamics · Physics 2015-05-14 Michael Wilkinson , Bernhard Mehlig , Kristian Gustavsson

We study hydrodynamic interactions of spherical particles in incident Poiseuille flow in a channel with infinite planar walls. The particles are suspended in a Newtonian fluid, and creeping-flow conditions are assumed. Numerical results,…

Soft Condensed Matter · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

In this work, we investigate the dynamics of interacting particle systems subjected to repulsive forces, such as lattices of magnetized particles. To this end, we first develop a general model capable of capturing the complete dynamical…

Applied Physics · Physics 2021-03-22 Weijian Jiao , Stefano Gonella

We investigate the dynamics of a dilute suspension of hydrodynamically interacting motile or immotile stress-generating swimmers or particles as they invade a surrounding viscous fluid. Colonies of aligned pusher particles are shown to…

Soft Condensed Matter · Physics 2019-03-08 Christopher J. Miles , Arthur A. Evans , Michael J. Shelley , Saverio E. Spagnolie

The motion of particles suspended in environmental turbulence is relevant to many scientific fields, from sediment transport to biological interactions to underwater robotics. At very small scales and simple shapes, we are able to…

Fluid Dynamics · Physics 2015-06-02 Margaret L. Byron

We analyse the tumbling of small non-spherical, axisymmetric particles in random and turbulent flows. We compute the orientational dynamics in terms of a perturbation expansion in the Kubo number, and obtain the tumbling rate in terms of…

Fluid Dynamics · Physics 2015-06-15 K. Gustavsson , J. Einarsson , B. Mehlig

We investigate theoretically the motion of tiny heavy passive particles transported in a plane inviscid flow consisting of two point vortices, in order to understand particle dispersion and trapping during vortex interaction. In spite of…

Fluid Dynamics · Physics 2015-05-18 Tatiana Nizkaya , Jean-Regis Angilella , Michel Bues

The long time dynamics of large particles trapped in two inhomogeneous turbulent shear flows is studied experimentally. Both flows present a common feature, a shear region that separates two colliding circulations, but with different…

Fluid Dynamics · Physics 2016-03-02 N Machicoane , M López-Caballero , L Fiabane , J-F Pinton , M Bourgoin , J Burguete , R Volk

An asymptotic solution is derived for the motion of inertial particles exposed to Stokes drag in an unsteady random flow. This solution provides the finite-time Lyapunov exponents as a function of Stokes number and Lagrangian strain- and…

Fluid Dynamics · Physics 2016-12-28 Mahdi Esmaily-Moghadam , Ali Mani

We report experimental results on the behavior of an ensemble of inelastically colliding particles, excited by a vibrated piston in a vertical cylinder. When the particle number is increased, we observe a transition from a regime where the…

Statistical Mechanics · Physics 2007-05-23 Eric Falcon , Stephan Fauve , Claude Laroche

The identification of cells and particles based on their transport properties in microfluidic devices is crucial for numerous applications in biology and medicine. Neutrally buoyant particles transported in microfluidic channels, migrate…

The statistics of velocity differences between very heavy inertial particles suspended in an incompressible turbulent flow is found to be extremely intermittent. When particles are separated by distances within the viscous subrange, the…

Fluid Dynamics · Physics 2009-05-11 J. Bec , L. Biferale , M. Cencini , A. S. Lanotte , F. Toschi

We study a self-propelled particle moving in a solvent with the active Ornstein Uhlenbeck dynamics in the underdamped regime to evaluate the influence of the inertia. We focus on the properties of potential-free and harmonically confined…

Statistical Mechanics · Physics 2021-02-03 Lorenzo Caprini , Umberto Marini Bettolo Marconi

The interaction between deformable surfaces and oscillatory driving is known to yield complex secondary time-averaged flows due to inertial and elastic nonlinearities. Here, we revisit the problem of oscillatory flow in a cylindrical tube…

Fluid Dynamics · Physics 2024-11-20 Xirui Zhang , Bhargav Rallabandi
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