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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 novel approach for modeling concentration polarization in crossflow membrane filtration based on the equivalence of osmotic pressure model and filtration theory
TL;DR: In this paper, a theoretical model for prediction of permeate flux during cross-flow membrane filtration of rigid hard spherical solute particles is developed, which utilizes the equivalence of the hydrodynamic and thermodynamic principles governing the equilibrium in a concentration polarization layer.
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Dynamic ultrafiltration model for charged colloidal dispersions : a Wigner-Seitz cell approach
W. Richard Bowen,Frank Jenner +1 more
TL;DR: In this article, a rigorous, dynamic mathematical model for predicting the rate of ultrafiltration of charged colloidal dispersions is developed based on sophisticated descriptions of the particle-particle interactions within filter cakes which are responsible for controlling permeation rates.
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Generic theory of colloidal transport
Frank Jülicher,Jacques Prost +1 more
TL;DR: This framework discusses different transport scenarios including self-propulsion via surface slip that is induced by active processes on the particle surface that clarify the nature of force balances in such situations.
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The hydrodynamics of swimming microorganisms
Eric Lauga,Thomas R. Powers +1 more
TL;DR: In this article, the authors review the biophysical and mechanical principles of locomotion at the small scales relevant to cell swimming (tens of microns and below) and focus on the fundamental flow physics phenomena occurring in this inertia-less realm, and the emphasis is on the simple physical picture.
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Theory of swimming filaments in viscoelastic media.
TL;DR: In this article, the swimming velocity and hydrodynamic force exerted on an infinitely long cylinder with prescribed beating pattern were obtained for a sperm flagellum, and they used these results to examine the swimming of a simplified sliding-filament model.