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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

Physical clogging of soil filters under constant flow rate versus constant head

TL;DR: In this paper, the authors evaluated the differences in soil filter clogging under two operating conditions: constant head and constant flow rate, and the experiments revealed similar permeability reductions with respect to time in both cases; however, the permeability reduction under the conditions of constant head occurred in much fewer pore volumes than under the condition of constant flow rates.
Journal ArticleDOI

Nearly spherical vesicles in an external flow

TL;DR: In this paper, a vesicle with small excess area, which is immersed in an external flow, was theoretically analyzed and a dynamical equation was obtained by solving the Stokes equation with suitable boundary conditions imposed on the membrane.
Journal ArticleDOI

Propulsion at low Reynolds number

TL;DR: In this paper, a simple one-dimensional swimmer consisting of three spheres that are connected by two arms whose lengths can change between two values was proposed, which can swim with a special type of motion, which breaks the time-reversal symmetry.
Posted Content

Colloidal attraction induced by a temperature gradient

TL;DR: In this paper, a novel strong and long-range attraction induced by a thermal gradient in the presence of a wall is reported, and the observed attraction is hydrodynamic in nature and arises from thermal induced slip flow on particle surfaces.
Journal ArticleDOI

Grad's approximation for moving and stationary walls in entropic lattice Boltzmann simulations

TL;DR: A new generalized wall boundary condition for the entropic lattice Boltzmann method (ELBM) that is capable of handling complex flow geometries including moving walls is introduced and the Grad's ten moments approximation is employed to approximate the missing populations at the boundary nodes.