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Chiral fluids - such as fluids under rotation or a magnetic field as well as synthetic and biological active fluids - flow in a different way than ordinary ones. Due to symmetries broken at the microscopic level, chiral fluids may have…

Soft Condensed Matter · Physics 2024-09-04 Tali Khain , Michel Fruchart , Colin Scheibner , Thomas A. Witten , Vincenzo Vitelli

We study the problem of sinking particles in a realistic oceanic flow, with major energetic structures in the mesoscale, focussing in the range of particle sizes and densities appropriate for marine biogenic particles. Our aim is to unify…

Atmospheric and Oceanic Physics · Physics 2017-07-03 Pedro Monroy , Emilio Hernández-García , Vincent Rossi , Cristóbal López

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 investigate in this article the boundary layers appearing for a fluid under moderate rotation when the viscosity is small. The fluid is modeled by rotating type Stokes equations known also as the Barotropric mode equations in the…

Analysis of PDEs · Mathematics 2016-07-12 Soumaya Ben Chaabane , Makram Hamouda , Mahdi Tekitek

A theoretical analysis is carried out to study flow evolution inside the laminar Rayleigh-B\'enard convection system laden with small particles. By describing particle dynamics and particle heat as sources of drag and heat respectively, the…

Fluid Dynamics · Physics 2023-10-12 Dai Shi

We investigate the transport dynamics of elongated particles in cellular vortical flows that undergo spatial oscillations over time. Experimental flow visualizations reveal mixed flow fields with chaotic and elliptic regions coexisting.…

Fluid Dynamics · Physics 2025-08-14 Shiyuan Hu , Xiuyuan Yang , Nan Luo , Jun Zhang , Xingkun Man

The Navier-Stokes-Fourier system is a well established model for describing the motion of viscous compressible heat-conducting fluids. We study the existence of time-periodic weak solutions and improve the known result in the following…

Analysis of PDEs · Mathematics 2014-04-08 Simon Axmann , Milan Pokorny

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

We investigate the large-scale transport properties of quasi-neutrally-buoyant inertial particles carried by incompressible zero-mean periodic or steady ergodic flows. We show how to compute large-scale indicators such as the…

We study a dynamical counterpart of bifurcation to invariant torus for a system of interconnected fast phase variables and slowly varying parameters. We show that in such a system, due to the slow evolution of parameters, there arise…

Classical Analysis and ODEs · Mathematics 2015-08-28 A. M. Samoilenko , I. O. Parasyuk , B. V. Repeta

We consider the slow flow of a viscous incompressible liquid in a channel of constant but arbitrary cross section shape, driven by non-uniform suction or injection through the porous channel walls. A similarity transformation reduces the…

Fluid Dynamics · Physics 2012-08-28 Kaare H. Jensen

The orientational dynamics of weakly inertial axisymmetric particles in a steady flow is investigated. We derive an asymptotic equation of motion for the unit axial vector along the particle symmetry axis, valid for small Stokes number St,…

Fluid Dynamics · Physics 2014-05-22 J. Einarsson , J. R. Angilella , B. Mehlig

We study the particle-scale motion of highly polydisperse hard disks flowing in a two-dimensional bent channel. We use various size distributions of particles, in which the largest particles are up to five times larger than the smallest.…

Soft Condensed Matter · Physics 2025-05-02 Pablo Eduardo Illing , Eric R. Weeks

We explore theoretically the complex dynamics and emergent behaviors of spinning spheres immersed in viscous fluid. The particles are coupled to each-other via the fluid in which they are suspended: each particle disturbs the surrounding…

Fluid Dynamics · Physics 2015-09-18 Enkeleida Lushi , Petia M. Vlahovska

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

At finite Reynolds numbers particles migrate across flow streamlines to their equilibrium positions in microchannels. Such a migration is attributed to an inertial lift force, and it is well-known that the equilibrium location of…

Soft Condensed Matter · Physics 2020-01-17 Tatiana V. Nizkaya , Evgeny S. Asmolov , Jens Harting , Olga I. Vinogradova

At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

We investigate and model the initiation of motion of a single particle on a structured substrate within an oscillatory boundary layer flow, following a mechanistic approach. By deterministically relating forces and torques acting on the…

Microscopic particles suspended in liquids are the prime example of an overdamped system because viscous forces dominate over inertial effects. Apart from their use as model systems, they receive considerable attention as sensitive probes…

Soft Condensed Matter · Physics 2020-02-10 Johannes Berner , Boris Müller , Juan Ruben Gomez-Solano , Matthias Krüger , Clemens Bechinger

Inertial focusing in curved microfluidic ducts exploits the interaction of drag force from the Dean flow with the inertial lift force to separate particles or cells laterally across the cross-section width according to their size.…

Fluid Dynamics · Physics 2023-10-31 Brendan Harding , Yvonne M. Stokes , Rahil N. Valani