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The motion of weakly inertial Brownian particles, transported by steady two-dimensional fluid flows, is investigated by means of asymptotic methods. We focus on the phenomenon of noise-induced separatrix crossing, which can force particles…

Fluid Dynamics · Physics 2019-05-08 Jean-Régis Angilella

We study the inviscid damping of Couette flow with an exponentially stratified density. The optimal decay rates of the velocity field and the density are obtained for general perturbations with minimal regularity. For Boussinesq…

Analysis of PDEs · Mathematics 2017-10-12 Jincheng Yang , Zhiwu Lin

The present study examines the linear instability characteristics of double-diffusive mixed convective flow in a vertical channel with viscosity stratification. The viscosity of the fluid is modelled as an exponential function of…

Fluid Dynamics · Physics 2023-06-28 Ankush , P. A. L. Narayana , K. C. Sahu

This paper carries out a linear stability analysis of a plane Couette flow in a porous layer underlying a fluid layer where the porous layer is anisotropic and inhomogeneous. The plane Couette flow is induced due to the uniform movement of…

Fluid Dynamics · Physics 2023-04-10 Nandita Barman , Anjali Aleria , Premananda Bera

We examine how known unstable equilibria of the Navier-Stokes equations in plane Couette flow adapt to the presence of an imposed stable density difference between the two boundaries for varying values of the Prandtl number $Pr$, the ratio…

Fluid Dynamics · Physics 2020-01-08 Jake Langham , Tom S. Eaves , Rich R. Kerswell

We investigate the very onset of the inertial regime in the fluid flow at the pore level in a three-dimensional, disordered, highly porous media. We analyze the flow structure in a wide range of Reynolds numbers starting from 0.01 up to…

Fluid Dynamics · Physics 2024-09-25 Damian Sniezek , Sahrish B. Naqvi , Maciej Matyka

We report a novel experimental technique that measures simultaneously in three dimensions the trajectories, the translation, and the rotation of finite size inertial particles together with the turbulent flow. The flow field is analyzed by…

Fluid Dynamics · Physics 2012-12-24 Simon Klein , Mathieu Gibert , Antoine Bérut , Eberhard Bodenschatz

The steady, asymmetric and two-dimensional flow of viscous, incompressible micropolar fluid through a rectangular channel with a splitter (parallel to walls) was formulated and simulated numerically. The plane Poiseuille flow was considered…

Fluid Dynamics · Physics 2016-05-10 Abuzar Abid Siddiqui

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

Soft Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

It was recently suggested that the sign of particle drift in inhomogeneous temperature or turbulence depends on the particle inertia: weakly inertial particles localize near minima of temperature or turbulence intensity (effects known as…

Chaotic Dynamics · Physics 2016-03-17 Sergey Belan , Alexander Chernykh , Gregory Falkovich

Aerosols are ubiquitous, and particle capture from particle-laden air as it flows past an obstacle is of widespread practical importance. Neglecting diffusion, previous work has shown that for a smooth curved surface in both Stokes flow and…

Fluid Dynamics · Physics 2025-02-26 Joshua F. Robinson , Patrick B. Warren , Matthew R. Turner , and Richard P. Sear

A flexible sheet in uniform parallel flow is studied in order to quantify its fluid dynamic drag and fluid-elastic stability characteristics. An experimental campaign is undertaken that involves a cantilevered sheet in air flow…

Fluid Dynamics · Physics 2009-08-18 Michael T. Morris-Thomas , Sverre Steen

We use direct numerical simulations to calculate the joint probability density function of the relative distance $R$ and relative radial velocity component $V_R$ for a pair of heavy inertial particles suspended in homogeneous and isotropic…

Fluid Dynamics · Physics 2018-02-21 Akshay Bhatnagar , K. Gustavsson , Dhrubaditya Mitra

Flows in fluid layers are ubiquitous in industry, geophysics and astrophysics. Large-scale flows in thin layers can be considered two-dimensional (2d) with bottom friction added. Here we find that the properties of such flows depend…

Fluid Dynamics · Physics 2018-10-24 Gregory Falkovich , Natalia Vladimirova

We investigate the effect of small suction Reynolds number and permeability parameter on the stability of Poiseuille fluid flow in a porous medium between two parallel horizontal stationary porous plates . We have shown that the perturbed…

Fluid Dynamics · Physics 2014-12-03 L. A. Hinvi , A. V. Monwanou , J. B. Chabi Orou

We consider advection of small inertial particles by a random fluid flow with a strong steady shear component. It is known that inertial particles suspended in a random flow can exhibit clusterization even if the flow is incompressible. We…

Chaotic Dynamics · Physics 2013-05-30 Grigory A. Sizov

We numerically simulate the two-dimensional inertial flow with the van der Waals effect in a straight periodic channel around the Poiseuille and Couette stationary states. Even though the flow remains laminar macroscopically, we observe…

Fluid Dynamics · Physics 2026-03-20 Rafail V. Abramov

Flow between concentric spheres of radius ratio $\eta = r_\mathrm{i}/r_\mathrm{o} = 0.35$ is studied in a 3 m outer diameter experiment. We have measured the torques required to maintain constant boundary speeds as well as localized wall…

Fluid Dynamics · Physics 2011-07-27 Daniel S. Zimmerman , Santiago Andrés Triana , Daniel P. Lathrop

We perform a series of experiments to measure Lagrangian trajectories of settling and rising particles as they traverse a density interface of thickness $h$ using an index-matched water-salt-ethanol solution. The experiments confirm the…

Fluid Dynamics · Physics 2019-10-15 Lilly Verso , Maarten van Reeuwijk , Alexander Liberzon

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Stefan Luding