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We describe an immersed boundary method in which the fluid-structure coupling is achieved in an Eulerian framework. The method is an improved extension of the immersed boundary method originally developed by Kajishima et al. [1], which…

Fluid Dynamics · Physics 2022-01-12 Naoki Hori , Marco Edoardo Rosti , Shu Takagi

Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the…

Statistical Mechanics · Physics 2012-02-21 Lukas Glod , Gabriela Vasziova , Jana Tothova , Vladimir Lisy

We provide a detailed analysis on the acoustic radiation force and torque exerted on a homogeneous viscoelastic particle in the long-wave limit (the particle radius is much smaller than the incident wavelength) by an arbitrary wave. We…

Classical Physics · Physics 2016-04-19 J. P. Leao-Neto , Glauber T. Silva

We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion arises from the assumption that each particle is surrounded…

Analysis of PDEs · Mathematics 2026-01-21 Aline Lefebvre-Lepot , Muhammed Ali Mehmood , Charlotte Perrin , Ewelina Zatorska

We study the interaction between a pair of particles suspended in a uniform oscillatory flow. The time-averaged behavior of particles under these conditions, driven by inertial and viscous effects, is explored through a theoretical…

Fluid Dynamics · Physics 2025-03-10 Xiaokang Zhang , Bhargav Rallabandi

Understanding particle transport and localisation in porous channels, especially at moderate Reynolds numbers, is relevant for many applications ranging from water reclamation to biological studies. Recently, researchers experimentally…

Fluid Dynamics · Physics 2019-01-30 Mike Garcia , Baskar Ganapathysubramanian , Sumita Pennathur

We study the diffusive dynamics of a Brownian particle in proximity of a flat surface under non-equilibrium conditions, which are created by an anisotropic thermal environment with different temperatures being active along distinct spatial…

Statistical Mechanics · Physics 2017-09-13 Stefano Bo , Ralf Eichhorn

Simultaneous diffusive and inertial motion of Brownian particles in laminar Couette flow is investigated via Lagrangian and Eulerian descriptions to determine the effect of particle inertia on diffusive transport in the long-time. The…

Statistical Mechanics · Physics 2010-08-13 Yannis Drossinos , Michael W. Reeks

This study theoretically considers the motion of N identical inelastic particles between two oscillating walls. The particles' average energy increases abruptly at certain critical filling fractions, wherein the system changes into a…

Data Analysis, Statistics and Probability · Physics 2011-01-31 Fei Fang Chung , Sy-Sang Liaw , Wei Chun Chang

The immersed boundary (IB) method is a mathematical and numerical framework for problems of fluid-structure interaction, treating the particular case in which an elastic structure is immersed in a viscous incompressible fluid. The IB…

Computational Engineering, Finance, and Science · Computer Science 2017-03-29 Boyce E. Griffith

The connection between fundamental interactions acting in molecules in a fluid and macroscopically measured properties, such as the viscosity between colloidal particles coated with polymers, is studied here. The role that hydrodynamic and…

Soft Condensed Matter · Physics 2015-09-02 A. Gama Goicochea , M. A. Balderas Altamirano , R. Lopez-Esparza , M. A. Waldo , E. Perez

Particles suspended in a fluid flow through a curved duct can focus to specific locations within the duct cross-section. This particle focusing is a result of a balance between two dominant forces acting on the particle: (i) the inertial…

Dynamical Systems · Mathematics 2024-01-17 Rahil N. Valani , Brendan Harding , Yvonne M. Stokes

We present a new Eulerian framework for the computation of turbulent compressible multiphase channel flows, specifically to assess turbulence modulation by dispersed particulate matter in dilute concentrations but with significant mass…

Fluid Dynamics · Physics 2025-08-12 Ajay Dhankarghare , Yuval Dagan

Analytical expressions are derived for the time-averaged, quasi-steady, acoustic radiation force on a heated, spherical, elastic, solid microparticle suspended in a fluid and located in an axisymmetric incident acoustic wave. The heating is…

Fluid Dynamics · Physics 2025-10-30 Henrik Bruus , Bjørn G. Winckelmann

Acoustic radiation force is a net force experienced by an object under the action of an acoustic wave. Most theoretical models require the acoustic wave to be periodic, if not purely monofrequency, and are therefore irrelevant for the study…

Fluid Dynamics · Physics 2021-04-28 Antoine Riaud , Qing Wang , Zhixiong Gong , Michael Baudoin , Jia Zhou

A novel experimental platform is developed to investigate the dynamics of inertial particles (micro-droplets) in air turbulence. The goal is to observe particle collision and coalescence in turbulent flows, focusing on its impact on the…

Fluid Dynamics · Physics 2026-03-12 L. Fu , J. Feng , Y. Chen , F. Gong , X. Meng , E. -W. Saw

Finite-size neutrally buoyant particles in a channel flow are known to accumulate at specific equilibrium positions or spots in the channel cross-section if the flow inertia is finite at the particle scale. Experiments in different conduit…

Fluid Dynamics · Physics 2018-10-23 Anupam Gupta , Pascale Magaud , Christine Lafforgue , Micheline Abbas

We have directly observed short-time stress propagation in viscoelastic fluids using two optically trapped particles and a fast interferometric particle-tracking technique. We have done this both by recording correlations in the thermal…

Soft Condensed Matter · Physics 2009-11-13 M. Atakhorrami , D. Mizuno , G. H. Koenderink , T. B. Liverpool , F. C. MacKintosh , C. F. Schmidt

We prove the convergence of $ \nN $-particle systems of Brownian particles with logarithmic interaction potentials onto a system described by the infinite-dimensional stochastic differential equation (ISDE). % For this proof we present two…

Probability · Mathematics 2017-06-14 Yosuke Kawamoto , Hirofumi Osada

A new Lagrangian particle method for solving Euler equations for compressible inviscid fluid or gas flows is proposed. Similar to smoothed particle hydrodynamics (SPH), the method represents fluid cells with Lagrangian particles and is…

Numerical Analysis · Mathematics 2016-03-21 Hsin-Chiang Chen , Roman Samulyak , Wei Li