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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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Dimensionality matters in the collective behaviour of active emulsions

TL;DR: Two simple adjustments of the experimental setting lead to a suppression of clustering: either a decrease of the reservoir height below a certain value, or a match of the densities of droplets and surrounding phase, showing that the convection is the key mechanism for the clustering behaviour.
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Hydrodynamic models of viscous coupling between motile myosin and endoplasm in characean algae.

E A Nothnagel, +1 more
TL;DR: Using network dimensions estimated from published micrographs of characean endoplasm, the results show that this system can easily generate the observed cytoplasmic streaming.
Journal ArticleDOI

Flow through charged membranes

TL;DR: In this article, a theoretical analysis of transport through charged membranes is presented using a cell model, where three sets of partial differential equations describe the system: the generalized Nernst-Planck flux equations, the Navier-Stokes equation, and the Poisson-Boltzmann equation.
Journal ArticleDOI

Motion of a spherical particle in a cylindrical channel using arbitrary Lagrangian-Eulerian method.

TL;DR: A finite element particle transport model, consisting of Navier-Stokes and continuity equations defined in arbitrary Lagrangian-Eulerian (ALE) kinematics, is employed to describe the motion of a rigid uncharged spherical particle in a cylindrical channel of uniform cross-section.
Journal ArticleDOI

Wall effects on electrophoretic motion of spherical polystyrene particles in a rectangular poly(dimethylsiloxane) microchannel.

TL;DR: It is found that the particle electrophoretic velocity is insensitive to the trajectory between the channel sidewalls, consistent with the theoretical prediction.