Journal ArticleDOI
Fundamental singularities of viscous flow
John Blake,A. T. Chwang +1 more
TLDR
In this article, the image system for the fundamental singularities of viscous (including potential) flow is obtained in the vicinity of an infinite stationary no-slip plane boundary, where the authors obtain a far field of O(r−2) for force or rotational components parallel to the wall, whereas normal components are of higher order O(ρ−3).Abstract:
The image system for the fundamental singularities of viscous (including potential) flow are obtained in the vicinity of an infinite stationary no-slip plane boundary. The image system for a: stokeslet, the fundamental singularity of Stokes flow; rotlet (also called a stresslet), the fundamental singularity of rotational motion; a source, the fundamental singularity of potential flow and also the image system for a source-doublet are discussed in terms of illustrative diagrams. Their far-fields are obtained and interpreted in terms of singularities. Both the stokeslet and rotlet have similar far field characteristics: for force or rotational components parallel to the wall a far-field of a stresslet typeO(r
−2) is obtained, whereas normal components are of higher orderO(r
−3).read more
Citations
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Journal ArticleDOI
The hydrodynamics of swimming microorganisms
Eric Lauga,Thomas R. Powers +1 more
TL;DR: The biophysical and mechanical principles of locomotion at the small scales relevant to cell swimming, tens of micrometers and below are reviewed, with emphasis on the simple physical picture and fundamental flow physics phenomena in this regime.
Journal ArticleDOI
Fluid Mechanics of Propulsion by Cilia and Flagella
TL;DR: This review restricts this review primarily to a summary of present understanding of the low-Reynolds-number flows associated with microorganism propulsion and the hydromechanics of ciliary systems.
Journal ArticleDOI
Controlled vesicle deformation and lysis by single oscillating bubbles
TL;DR: An experiment in which gentle (linear) bubble oscillations are sufficient to achieve rupture of lipid membranes and the bubble dynamics and the ensuing sonoporation can be accurately controlled.
Journal ArticleDOI
Fluid dynamics and noise in bacterial cell–cell and cell–surface scattering
TL;DR: Direct measurements of the bacterial flow field generated by individual swimming Escherichia coli both far from and near to a solid surface are reported, implying that physical interactions between bacteria are determined by steric collisions and near-field lubrication forces.
Journal ArticleDOI
Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flows
Allen T. Chwang,T. Yao-Tsu Wu +1 more
TL;DR: In this article, the Stokeslet is associated with a singular point force embedded in a Stokes flow and other fundamental singularities can be obtained, including rotlets, stresslets, potential doublets and higher-order poles derived from them.
References
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Book
Low Reynolds number hydrodynamics
John Happel,Howard Brenner +1 more
TL;DR: 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.
Journal ArticleDOI
The stress system in a suspension of force-free particles
TL;DR: In this paper, the authors consider the properties of the bulk stress in a suspension of non-spherical particles, on which a couple (but no force) may be imposed by external means, immersed in a Newtonian fluid.
Journal ArticleDOI
A note on the image system for a stokeslet in a no-slip boundary
TL;DR: In this article, the Fourier transform was used to obtain the image system required to satisfy the no-slip condition on the boundary of a stationary plane boundary, which consists of a stokeslet equal in magnitude but opposite in sign to the initial Stokeslet, a stoke doublet and a source doublet, the displacement axes for the doublets being in the original direction of the force.
Journal ArticleDOI
A model for the micro-structure in ciliated organisms
TL;DR: Improved models for the movement of fluid by cilia are presented and it is found that, in a frame of reference situated in the organism, the velocity near the surface of the organism is very small, but it increases rapidly to near the velocity of propulsion from then on.