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Low Reynolds number hydrodynamics

TLDR
Low Reynolds number flow theory finds wide application in such diverse fields as sedimentation, fluidization, particle-size classification, dust and mist collection, filtration, centrifugation, polymer and suspension rheology, and a host of other disciplines.
Abstract
Low Reynolds number flow theory finds wide application in such diverse fields as sedimentation, fluidization, particle-size classification, dust and mist collection, filtration, centrifugation, polymer and suspension rheology, flow through porous media, colloid science, aerosol and hydrosal technology, lubrication theory, blood flow, Brownian motion, geophysics, meteorology, and a host of other disciplines. This text provides a comprehensive and detailed account of the physical and mathematical principles underlying such phenomena, heretofore available only in the original literature.

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Journal ArticleDOI

A singularity method for unsteady linearized flow

C. Pozrikidis
- 01 Sep 1989 - 
TL;DR: In this article, the authors derived Faxen's laws for solid and fluid particles in terms of singularity representations and slender-body theory is discussed, showing that the force on a particle in arbitrary oscillatory flow is proportional to the total strength of the distributed oscillating Stokeslets necessary to represent the flow.
Journal ArticleDOI

References and benchmarks for pore-scale flow simulated using micro-CT images of porous media and digital rocks

TL;DR: A novel reference dataset is generated to quantify the impact of numerical solvers, boundary conditions, and simulation platforms on permeability of microstructures ranging from idealized pipes to digital rocks and finds that more stringent convergence criteria can improve solver accuracy but at the expense of longer computation time.
Journal ArticleDOI

An adaptative augmented Lagrangian method for three-dimensional multimaterial flows

TL;DR: In this paper, an adaptative augmented Lagrangian method is proposed to solve the predictor solution, satisfying at the same time the conservation equations as well as the incompressibility constraint.
Journal ArticleDOI

Mesoscopic turbulence and local order in Janus particles self-propelling under an ac electric field

TL;DR: To elucidate mechanisms of mesoscopic turbulence exhibited by active particles, an experimental system with dense suspensions of asymmetrical colloidal particles (Janus particles) self-propelling on a two-dimensional surface under an ac electric field is realized.
Journal ArticleDOI

Influence of confinement on granular penetration by impact

TL;DR: The presence of close lateral walls reduces the penetration depth of impacting spheres into a granular medium contained in a finite cylindrical vessel, and the characteristic distance for these lateral wall effects is found to be of the order of one sphere diameter.