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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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On the sedimentation of a sphere in a centrifuge
TL;DR: In this paper, the flow field about a small sedimenting particle in a centrifuge is examined using matched asymptotic expansions, where the near field is dominated by Stokes flow while in the far field a non-axisymmetric cubical conical structure (a viscously modified Taylor column) is found.
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Spatially periodic suspensions of convex particles in linear shear flows. II. Rheology
TL;DR: In this article, a rigorous analysis of the almost time-periodic low Reynolds number hydrodynamics of a spatially periodic suspension of identical convex particles in a Newtonian liquid undergoing a macroscopically homogeneous linear shear flow is presented.
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Stokes flow in spheroidal particle-in-cell models with rappel and kuwabara boundary conditions
TL;DR: In this article, the creeping flow through a swarm of spheroidal particles, that move with constant uniform velocity in the axial direction through an otherwise quiescent Newtonian fluid, is analyzed with a sphroid-in-cell model.
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Dynamic light scattering from thin rigid rods: Anisotropy of translational diffusion of tobacco mosaic virus
Jess Wilcoxon,J. Michael Schurr +1 more
TL;DR: In this paper, an exact theoretical expression for the apparent diffusion coefficient Dapp(K) of a thin rigid rod with arbitrary anisotropy of its translational diffusion diffusion coefficient is derived from the first cumulant of its dynamic structure factor.
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Mechanisms of optical angular momentum transfer to nematic liquid crystalline droplets.
TL;DR: In this paper, the relative importance of wave plate behavior, scattering processes and absorption phenomena in transferring optical torque from circularly polarized light to optically trapped nematic droplets is evaluated.