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A small spheroid settling in a quiescent fluid experiences an inertial torque that aligns it so that it settles with its broad side first. Here we show that an active particle experiences such a torque too, as it settles in a fluid at rest.…

Fluid Dynamics · Physics 2023-12-21 F. Candelier , J. Qiu , L. Zhao , G. Voth , B. Mehlig

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

How non-spherical particles orient as they settle in a flow has important practical implications in a number of scientific and engineering problems. In a quiescent fluid, a slowly settling particle orients so that it settles with its broad…

Swimming at small Reynolds number of a linear assembly of identical spheres immersed in a viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The motion of the spheres is caused by actuating…

Fluid Dynamics · Physics 2016-10-20 B. U. Felderhof

In this article, we investigate the inertial settling of an arbitrarily oriented cylinder settling under gravity. We focus on two regimes: the very short-time and long-time dynamic. By using the generalized Kirchhoff equations to describe…

Fluid Dynamics · Physics 2023-03-29 Jean-Lou Pierson

Translational and rotational swimming at small Reynolds number of a planar assembly of identical spheres immersed in an incompressible viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The…

Fluid Dynamics · Physics 2017-10-25 B. U. Felderhof

The motion of thin curved falling particles is ubiquitous in both nature and industry but is not yet widely examined. Here, we describe an experimental study on the dynamics of thin cylindrical shells resembling broken bottle fragments…

We present a numerical study of settling and clustering of small inertial particles in homogeneous and isotropic turbulence. Particles are denser than the fluid, but not in the limit of being much heavier than the displaced fluid. At fixed…

Fluid Dynamics · Physics 2022-01-03 Christian Reartes , Pablo D. Mininni

Active dumbbell suspensions constitute one of the simplest model system for collective swimming at low Reynolds number. Generalizing recent work, we derive and analyze stroke-averaged equations of motion that capture the effective…

Soft Condensed Matter · Physics 2010-10-12 Victor B. Putz , Jörn Dunkel

The swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent is studied in low Reynolds number hydrodynamics. The instantaneous swimming velocity and rate of dissipation are expressed in terms of the…

Fluid Dynamics · Physics 2015-05-25 B. U. Felderhof

By synergistically combining modeling, simulation and experiments, we show that there exists a regime of self-propulsion in which the inertia in the fluid dynamics can be separated from that of the swimmer. This is demonstrated by the…

The dynamics of elastic dumbbells in linear shear flow is investigated by fluid particle dynamics simulations at small Reynolds numbers. The positive contribution of a single dumbbell to the effective shear viscosity is determined via the…

Soft Condensed Matter · Physics 2013-09-09 Johannes Greber , Jochen Bammert , Philippe Peyla , Walter Zimmermann

In the cosmos, any two bodies share a gravitational attraction. When in proximity to one another in empty space, their motions can be modeled by Newtonian gravity. Newton found their orbits when the two bodies are infinitely small, the…

Classical Analysis and ODEs · Mathematics 2023-07-06 Jodin Morey

The precise description of the motion of anisotropic particles in a flow rests on the understanding of the force and torque acting on them. Here, we study experimentally small, very elongated particles settling in a fluid at small Reynolds…

Fluid Dynamics · Physics 2022-11-29 F. Cabrera , M. Z. Sheikh , B. Mehlig , N. Plihon , M. Bourgoin , A. Pumir , A. Naso

In Stokes flow, Purcell's scallop theorem forbids objects with time-reversible (reciprocal) swimming strokes from moving. In the presence of inertia, this restriction is eased and reciprocally deforming bodies can swim. A number of recent…

Fluid Dynamics · Physics 2022-11-30 Nicholas J. Derr , Thomas Dombrowski , Chris H. Rycroft , Daphne Klotsa

Much work has been done to understand the settling dynamics of spherical particles in a homogeneous and a stratified fluid. However, the effects of shape anisotropy on the settling dynamics of a particle in a stratified fluid are not…

Fluid Dynamics · Physics 2025-01-23 Rishabh V. More , Mehdi N. Ardekani , Luca Brandt , Arezoo M. Ardekani

Turbulent motions in a fluid relax at a certain rate once stirring has stopped. The role of the most basic parameter in fluid mechanics, the Reynolds number, in setting the relaxation rate is not generally known. This paper concerns the…

Fluid Dynamics · Physics 2015-06-22 Michael Sinhuber , Eberhard Bodenschatz , Gregory P. Bewley

Combining experimental observations of Quincke roller clusters with computer simulations and a stability analysis, we explore the formation and stability of two interlocked self-propelled dumbbells. For large self-propulsion and significant…

Soft Condensed Matter · Physics 2023-06-14 Fabian Jan Schwarzendahl , Abraham Maulean-Amieva , C. Patrick Royall , Hartmut Löwen

Numerical simulation of particle motion in fluids at low particle Reynolds numbers is often based on empirical force and torque models obtained by fitting force and torque from ab-initio computations for simple particle shapes such as…

Fluid Dynamics · Physics 2026-01-14 L. Sundberg , F. Candelier , N. Fintzi , G. Voth , J. L. Pierson , K. Gustavsson , B. Mehlig

We investigate the problem of determining the shape of a rotating celestial object - e.g., a comet or an asteroid - under its own gravitational field. More specifically, we consider an object symmetric with respect to one axis - such as a…

Earth and Planetary Astrophysics · Physics 2021-03-24 Wai-Ting Lam , Marian Gidea , Fredy R Zypman
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