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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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Plane entry flows and energy estimates for the navier-stokes equations
TL;DR: In this article, an analogy is drawn between the end effect issue of concern here, called the "end effect", and the celebrated "Saint-Venant's Principle" of the theory of elasticity.
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Modeling simple locomotors in Stokes flow
TL;DR: A mathematical description of the body dynamics based on a mixed-type boundary integral formulation of spherical and ellipsoidal swimmers in an infinite fluid is developed and stable as well as unstable pairwise swimming motions are observed.
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Electrorheology of suspensions of elongated goethite particles
TL;DR: In this paper, the authors evaluated the electrorheological effect of suspensions of elongated goethite (β-FeOOH) particles with axial ratio around 8, both in the absence and presence of high-strength DC electric fields.
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Available states and available space: static properties that predict self-diffusivity of confined fluids
Gaurav Goel,William P. Krekelberg,Mark J. Pond,Jeetain Mittal,Vincent K. Shen,Jeffrey R. Errington,Thomas M. Truskett +6 more
TL;DR: In this paper, the authors investigate the relationship between excess entropy and self-diffusivity of a single-component hard-sphere fluid and hardsphere mixtures, and provide strong empirical evidence that a new generalized measure of available volume for inhomogeneous fluids correlates excellently with self diffusivity across a wide parameter space, approximately independently of the degree of confinement.
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Sedimentation of two arbitrarily oriented spheroids in a viscous fluid
TL;DR: In this paper, the translational and rotational motions of two prolate spheroids sedimenting in a viscous fluid have been determined by the method of reflections, and the results extend earlier work on special cases such as Wakiya's work on horizontal orientations.