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Related papers: Modeling of Sedimentation of Particles near Corrug…

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The sedimentation of a spherical particle in an elastoviscoplastic fluid in proximity of a flat wall is investigated by direct numerical simulations. The governing equations under inertialess conditions are solved by the finite element…

Fluid Dynamics · Physics 2023-02-10 Alie Abbasi Yazdi , Gaetano D'Avino

A data-driven surrogate framework to accelerate particle-resolved modelling of quasi-dilute suspensions of rigid, non-spherical particles in Stokes flow is introduced. A regularized-Stokeslet boundary element method (BEM) is implemented to…

Fluid Dynamics · Physics 2025-12-17 Marco Laudato

An accelerated boundary integral method for Stokes flow of a suspension of deformable particles is presented for an arbitrary domain and implemented for the important case of a planar slit geometry. The computational complexity of the…

Soft Condensed Matter · Physics 2012-08-07 Amit Kumar , Michael D. Graham

We consider the sedimentation of $N$ spherical particles with identical radii $R$ in a Stokes flow in $\mathbb R^3$. The particles satisfy a no-slip boundary condition and are subject to constant gravity. The dynamics of the particles is…

Analysis of PDEs · Mathematics 2025-01-10 Richard M. Höfer , Richard Schubert

We present an immersed boundary method to simulate the creeping motion of a rigid particle in a fluid described by the Stokes equations discretized thanks to a finite element strategy on unfitted meshes, called Phi-FEM, that uses the…

Numerical Analysis · Mathematics 2023-01-30 Michel Duprez , Vanessa Lleras , Alexei Lozinski

Sedimentation of a dispersed solid phase is widely encountered in applications and environmental flows, yet little is known about the behavior of finite-size particles in homogeneous isotropic turbulence. To fill this gap, we perform Direct…

Fluid Dynamics · Physics 2016-04-20 Walter Fornari , Francesco Picano , Luca Brandt

We study the settling of solid particles within a viscous incompressible fluid contained in a two-dimensional channel, where the mass density of the particles is slightly greater than that of the fluid. The fluid-structure interaction…

Fluid Dynamics · Physics 2015-09-07 Sudeshna Ghosh , John M. Stockie

Motivated by experimental evidence of violations of the no-slip boundary condition for liquid flow in micron-scale geometries, we propose a simple, complementary experimental technique that has certain advantages over previous studies.…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga , Todd M. Squires

We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles…

Analysis of PDEs · Mathematics 2016-10-13 Richard M. Höfer

Many solid mechanics problems on complex geometries are conventionally solved using discrete boundary methods. However, such an approach can be cumbersome for problems involving evolving domain boundaries due to the need to track boundaries…

Numerical Analysis · Mathematics 2025-06-06 Vinamra Agrawal , Brandon Runnels

In this paper, we consider $N$ identical spherical particles sedimenting in a uniform gravitational field. Particle rotation is included in the model while inertia is neglected. Using the method of reflections, we extend the investigation…

Analysis of PDEs · Mathematics 2020-02-04 Amina Mecherbet

We investigate experimentally the dissolution of an almost spherical butyramide particle during its sedimentation, in the low Reynolds high P\'eclet regime. The particle sediments in a quiescent aqueous solution, and its shape and position…

Fluid Dynamics · Physics 2024-11-07 Nan He , Yutong Cui , David Wai Quan Chin , Thierry Darnige , Philippe Claudin , Benoît Semin

The interaction of fibers in a viscous (Stokes) fluid plays a crucial role in industrial and biological processes, such as sedimentation, rheology, transport, cell division, and locomotion. Numerical simulations generally rely on slender…

Numerical Analysis · Mathematics 2024-03-12 Dhairya Malhotra , Alex Barnett

An efficient, accurate, and flexible numerical method is proposed for the solution of the swimming problem of one or more autophoretic particles in the purely-diffusive limit. The method relies on successive boundary element solutions of…

Fluid Dynamics · Physics 2016-09-13 Thomas D. Montenegro-Johnson , Sebastien Michelin , Eric Lauga

We consider a three dimensional system consisting of a large number of small spherical particles, distributed in a range of sizes and heights (with uniform distribution in the horizontal direction). Particles move vertically at a…

Statistical Mechanics · Physics 2007-12-05 P. Horvai , S. V. Nazarenko , T. H. M. Stein

We study the hydrodynamic coupling between particles and solid, rough boundaries characterized by random surface textures. Using the Lorentz reciprocal theorem, we derive analytical expressions for the grand mobility tensor of a spherical…

Fluid Dynamics · Physics 2020-08-27 Christina Kurzthaler , Lailai Zhu , Amir A. Pahlavan , Howard A. Stone

The general system of images for regularized Stokeslets (GSIRS) developed by Cortez and Varela (2015) is used extensively to model Stokes flow phenomena such as microorganisms swimming near a boundary. Our collaborative team uses…

Particles whose shapes couple translation to rotation display a rich array of behaviors as they sediment at low Reynolds number. We introduce a unifying perspective in which the possible dynamical regimes and bifurcations between them can…

The sedimentation of a rigid particle near a wall in a viscous fluid has been studied numerically by many authors, but analytical solutions have been derived only for special cases such as the motion of spherical particles. In this paper…

Fluid Dynamics · Physics 2015-05-13 William H. Mitchell , Saverio E. Spagnolie

In this work, we explore various relevant aspects of the Smoothed Particle Hydrodynamics regarding Burger's equation. The stability, precision, and efficiency of the algorithm are investigated in terms of different implementations. In…

Computational Physics · Physics 2020-01-08 Chong Ye , Philipe Mota , Jin Li , Kai Lin , Wei-Liang Qian
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