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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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The hydrodynamics of confined dispersions
James W. Swan,John F. Brady +1 more
TL;DR: In this article, a two-dimensional analogue of Hasimoto's solution is proposed for computing the low-Reynolds-number hydrodynamic forces on particles comprising a suspension confined by two parallel, no-slip walls.
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Linear chains and chain-like fractals from electrostatic heteroaggregation
TL;DR: The internal structure of materials prepared by aggregation of oppositely charged polystyrene spheres (electrostatic heteroaggregation) is investigated by static light scattering, optical microscopy, and Brownian dynamics simulation, finding low fractal dimensions that appear to represent a crossover from linear chains to a structure of diffusion-limited aggregates.
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Uniform electric field induced lateral migration of a sedimenting drop
TL;DR: In this paper, the authors investigate the motion of a sedimenting spherical drop in the presence of an applied uniform electric field in an otherwise arbitrary direction in the limit of low surface charge convection.
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Slip at the surface of a translating–rotating sphere bisected by a free surface bounding a semi‐infinite viscous fluid: Removal of the contact‐line singularity
TL;DR: In this paper, a linear slip, Basset-type, boundary condition having an experimentally adjustable phenomenological slip coefficient is used to remove the contact-line singularity that would otherwise prevent the movement of a partially penetrating sphere normal to a planar free surface bounding a semi-infinite viscous fluid.
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Boundary conditions for darcy's flow through porous media
Shimon Haber,Roberto Mauri +1 more