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Low Reynolds number hydrodynamics
John Happel,Howard Brenner +1 more
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.read more
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A hydrodynamic description of the osmotic reflection coefficient with application to the pore theory of transcapillary exchange.
TL;DR: When the new description of σ was used to re-examine data previously interpreted using Durbin's relation, it was found that the equivalent pore radius compatible with the measured reflection coefficients of Vargas and Johnson (1964) was 20 A, while the permeability data of Pappenheimer et al. gave a value of 1000 A.
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Hydrodynamic screening near planar boundaries: effects on semiflexible polymer dynamics.
TL;DR: Remarkably, the effect of surface-induced screening of hydrodynamic interactions sensitively depends on the type of dynamic observable considered, for vectorial quantities such as the end-to-end vector, hydrod dynamic interactions are important and therefore surface screening effects are sizeable.
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Two-particle cluster integral in the expansion of the dielectric constant
TL;DR: In this article, the two-particle cluster integral in the cluster expansion for the effective dielectric constant of a suspension of spherically symmetric polarizable inclusions embedded in a uniform medium is studied.
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Dissipative particle dynamics simulation of depletion layer and polymer migration in micro- and nanochannels for dilute polymer solutions.
TL;DR: This work employs dissipative particle dynamics to study depletion and migration in dilute polymer solutions in channels several times larger than the radius of gyration of bead-spring chains and finds that simulated depletion layers compare well with the asymptotic lattice theory solution of depletion near a repulsive wall.
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Brownian particles at different times scales: a new derivation of the Smoluchowski equation
TL;DR: In this article, a derivation of the Smoluchowski dynamics for colloidal suspensions from molecular laws of motion is presented, in which a fluctuating hydrodynamics description of the fluid and the solid particles is a crucial step.