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Evolution equations for the orientation distribution of axisymmetric particles in periodic flows are derived in the regime of small but non-zero Brownian rotations. The equations are based on a multiple time scale approach that allows fast…

Fluid Dynamics · Physics 2009-11-11 Piero Olla

We consider the rotation of small neutrally buoyant axisymmetric particles in a viscous steady shear flow. When inertial effects are negligible the problem exhibits infinitely many periodic solutions, the "Jeffery orbits". We compute how…

Fluid Dynamics · Physics 2015-05-01 J. Einarsson , F. Candelier , F. Lundell , J. R. Angilella , B. Mehlig

The dynamics of non-spherical rigid particles immersed in an axisymmetric random flow is studied analytically. The motion of the particles is described by Jeffery's equation; the random flow is Gaussian and has short correlation time.The…

Chaotic Dynamics · Physics 2015-06-05 Dario Vincenzi

We present experimental and computational results for the orientation distributions of slender fibers and ramified particles settling in an isotropic turbulent flow. The rotational dynamics of the particles is modeled using a slender-body…

Fluid Dynamics · Physics 2023-03-31 Anubhab Roy , Stefan Kramel , Udayshankar Menon , Greg A. Voth , Donald L. Koch

We describe results of measurements of the orientational motion of glass microrods in a microchannel flow, following the orientational motion of particles with different shapes. We determine how the orientational dynamics depends on the…

Fluid Dynamics · Physics 2016-01-21 J. Einarsson , B. M. Mihiretie , A. Laas , S. Ankardal , J. R. Angilella , D. Hanstorp , B. Mehlig

Ice crystals settling through a turbulent cloud are rotated by turbulent velocity gradients. In the same way, turbulence affects the orientation of aggregates of organic matter settling in the ocean. In fact most solid particles encountered…

Fluid Dynamics · Physics 2021-02-04 K. Gustavsson , M. Z. Sheikh , D. Lopez , A. Naso , A. Pumir , B. Mehlig

Suspensions of anisotropic particles are commonly encountered in a wide spectrum of applications, including industrial and architectural coatings, targeted drug delivery and manufacturing of fiber-reinforced composites. A grand challenge in…

Soft Condensed Matter · Physics 2023-07-04 Dinesh Kumar

Self-propelled particles can navigate complex environments, including viscous fluid interfaces with curved geometries. In this work, we study the emergent dynamics of a suspension of self-propelled particles confined to a stationary curved…

Fluid Dynamics · Physics 2026-04-17 Yuzhu Chen , Vishal P. Patil , David Saintillan

We compute the angular dynamics of a neutrally buoyant nearly spherical particle immersed in an unsteady fluid. We assume that the particle is small, that its translational slip velocity is negligible, and that unsteady and convective…

Fluid Dynamics · Physics 2016-11-15 F. Candelier , J. Einarsson , B. Mehlig

We use the Fokker-Planck equation and its moment equations to study the collective behavior of interacting particles in unsteady one-dimensional flows. Particles interact according to a long-range attractive and a short-range repulsive…

Fluid Dynamics · Physics 2014-08-05 Maryam Abedi , Mir Abbas Jalali

Inertial particles in stably stratified flows play a fundamental role in geophysics, from the dynamics of nutrients in the ocean to the dispersion of pollutants in the atmosphere. We consider the Maxey-Riley equation for small neutrally…

Fluid Dynamics · Physics 2022-12-08 Christian Reartes , Pablo D. Mininni

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 examine the dynamics of small anisotropic particles (spheroids) sedimenting through homogeneous isotropic turbulence using direct numerical simulations and theory. The gravity-induced inertial torque acting on sub-Kolmogorov spheroids…

Atmospheric and Oceanic Physics · Physics 2020-07-22 Prateek Anand , Samriddhi Sankar Ray , Ganesh Subramanian

The angular dynamics of a very small ellipsoidal particle in a viscous flow decouples from its translational dynamics, and the particle angular velocity is given by Jeffery's theory. It is known that cuboid particles share these properties.…

Fluid Dynamics · Physics 2017-02-01 J. Fries , J. Einarsson , B. Mehlig

The orientational dynamics of inertialess anisotropic particles transported by two-dimensional convective turbulent flows display a coexistence of regular and chaotic features. We numerically demonstrate that very elongated particles (rods)…

Soft Condensed Matter · Physics 2020-03-10 Enrico Calzavarini , Linfeng Jiang , Chao Sun

The growing use of triaxial particles in microfluidic, microrobotic, and biological systems makes it essential to understand how their rotational dynamics couples with lateral migration in microscale flows. Our experiments in inertial…

We investigate the orientation dynamics of a settling spheroid in simple shear flow, combining a deterministic dynamical-systems analysis with a stochastic Fokker-Planck treatment. The dynamics is governed by the competition between the…

Fluid Dynamics · Physics 2026-04-16 Himanshu Mishra , Anubhab Roy

How anisotropic particles rotate and orient in a flow depends on the hydrodynamic torque they experience. Here we compute the torque acting on a small spheroid in a uniform flow by numerically solving the Navier-Stokes equations. Particle…

Fluid Dynamics · Physics 2021-02-09 F. Jiang , L. Zhao , H. I. Andersson , K. Gustavsson , A. Pumir , B. Mehlig

Active Brownian motion commonly assumes spherical overdamped particles. However, self-propelled particles are often neither symmetric nor overdamped yet underlie random fluctuations from their surroundings. Active Brownian motion has…

Soft Condensed Matter · Physics 2022-10-03 Jonas Mayer Martins , Raphael Wittkowski

Numerical simulations of positively-buoyant suspension in a horizontally rotating cylinder were performed to study the formation of radial and axial patterns. The order parameter for low-frequency segregated phase and dispersed phase is…

Soft Condensed Matter · Physics 2018-04-11 Sudarshan Konidena , Jonghoon Lee , K. Anki Reddy , Anugrah Singh
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