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We study the Vlasov-Stokes equations which macroscopically model the sedimentation of a cloud of particles in a fluid, where particle inertia are taken into account but fluid inertia are assumed to be negligible. We consider the limit when…

Analysis of PDEs · Mathematics 2018-01-09 Richard M. Höfer

The relative dispersion of pairs of inertial particles in incompressible, homogeneous, and isotropic turbulence is studied by means of direct numerical simulations at two values of the Taylor-scale Reynolds number $Re_{\lambda} \sim 200$…

Fluid Dynamics · Physics 2015-05-13 J. Bec , L. Biferale , A. S. Lanotte , A. Scagliarini , F. Toschi

We show, by direct numerical simulations, that heavy inertial particles (characterized by Stokes number $\St$) in inhomogeneously forced statistically stationary isothermal turbulent flows cluster at the minima of mean-square turbulent…

Fluid Dynamics · Physics 2018-05-24 Dhrubaditya Mitra , Nils Erland L. Haugen , Igor Rogachevskii

Polymer stretching in random smooth flows is investigated within the framework of the FENE dumbbell model. The advecting flow is Gaussian and short-correlated in time. The stationary probability density function of polymer extension is…

Chaotic Dynamics · Physics 2007-05-23 M. Martins Afonso , D. Vincenzi

The behavior of a non-spherical particle in a viscous, plane channel flow is studied by means of a combination of analytical technique and geometrical reasoning. An efficient implementation of Lamb's general solution is adopted, allowing…

chao-dyn · Physics 2007-05-23 Piero Olla

We have performed interface-resolved direct numerical simulations of forced homogeneous-isotropic turbulence in a dilute suspension of spherical particles in the Reynolds number range Re-lambda=115-140. The solid-fluid density ratio was set…

Fluid Dynamics · Physics 2017-04-05 Markus Uhlmann , Agathe Chouippe

Stochastic dynamics of a vortex filament obeying local induced approximation equation plus random agitation is investigated by analytical and numerical methods. The character of a stirring force is supposed to be a white noise with spatial…

Statistical Mechanics · Physics 2007-05-23 Sergey K. Nemirovskii , A. Ja. Baltsevich

The Stokes wave problem in a constant vorticity flow is formulated, by virtue of conformal mapping techniques, as a nonlinear pseudodifferential equation, involving the periodic Hilbert transform, which becomes the Babenko equation in the…

Fluid Dynamics · Physics 2019-10-23 Sergey A. Dyachenko , Vera Mikyoung Hur

We study the nonequilibrium stationary state of a one-dimensional inertial run-and-tumble particle (IRTP) trapped in a harmonic potential. We find that the presence of inertia leads to two distinct dynamical scenarios, namely, overdamped…

Statistical Mechanics · Physics 2025-05-21 Debraj Dutta , Anupam Kundu , Sanjib Sabhapandit , Urna Basu

Lipid vesicles play a key role in fundamental biological processes. Despite recent progress, we lack a complete understanding of the non-equilibrium dynamics of vesicles due to challenges associated with long-time observation of shape…

Biological Physics · Physics 2019-10-18 Dinesh Kumar , Channing M. Richter , Charles M. Schroeder

We analyse the dynamics of a weakly elastic spherical particle translating parallel to a rigid wall in a quiescent Newtonian fluid in the Stokes limit. The particle motion is constrained parallel to the wall by applying a point force and a…

Fluid Dynamics · Physics 2026-01-14 Shashikant Verma , Dinesh B , Navaneeth K Marath

Direct numerical simulations (DNS) of particle-laden turbulent flow in straight, mildly curved and strongly bent pipes are performed in which the solid phase is modelled as small heavy spherical particles. A total of seven populations of…

Fluid Dynamics · Physics 2016-04-20 Azad Noorani , Gaetano Sardina , Luca Brandt , Philipp Schlatter

The spatiotemporal vortex lattices generated in high Fresnel number solid-state microchip lasers are studied in connection with Talbot phenomenon generic to spatially periodic electromagnetic fields. The spatial layout of light field is…

Pattern Formation and Solitons · Physics 2012-07-17 A. Yu. Okulov

Heavy particles in turbulent flows have been shown to accumulate in regions of high strain rate or low vorticity, a process otherwise known as preferential concentration. This can be observed in geophysical flows, and is inferred to occur…

Fluid Dynamics · Physics 2020-11-25 Sara Nasab , Pascale Garaud

The encapsulation of active particles, such as bacteria or active colloids, inside a droplet gives rise to nontrivial shape dynamics and droplet motility. To understand this behavior, we derive an asymptotic solution for the fluid flow…

Soft Condensed Matter · Physics 2025-03-19 Sho Kawakami , Petia M. Vlahovska

We formulate a quantum theory of vorticity (hydro)dynamics on a general two-dimensional bosonic lattice. In the classical limit of a bosonic condensate, it reduces to conserved plasma-like vortex-antivortex dynamics. The nonlocal…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Yaroslav Tserkovnyak , Ji Zou

Particles are a widespread tool for obtaining information from fluid flows. When Eulerian data are unavailable, they may be employed to estimate flow fields or to identify coherent flow structures. Here we numerically examine the…

Fluid Dynamics · Physics 2023-06-22 O. Outrata , M. Pavelka , J. Hron , M. La Mantia , J. I. Polanco , G. Krstulovic

The particle trajectories in irrotational, incompressible and inviscid deep-water surface gravity waves are open, leading to a net drift in the direction of wave propagation commonly referred to as the Stokes Drift, which is responsible for…

Fluid Dynamics · Physics 2024-09-11 Aidan Blaser , Raphaël Benamran , A. Bia Villas Bôas , Luc Lenain , Nick Pizzo

The Navier-Stokes-Coriolis system is a simple model for rotating fluids, which allows to study the influence of the Coriolis force on the dynamics of three-dimensional flows. In this paper, we consider the NSC system in an infinite…

Analysis of PDEs · Mathematics 2009-01-12 Thierry Gallay , Violaine Roussier-Michon

We study a quasi-one-dimensional fluid of hard dumbbells with continuous orientational degrees of freedom using an exact transfer-matrix formulation. The model allows for a complete analytical characterization of thermodynamic properties,…

Soft Condensed Matter · Physics 2026-05-14 Ana M. Montero , Péter Gurin , Szabolcs Varga , Andrés Santos