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Self-Propulsion at Low Reynolds Number

Physical Review Letters, 1987
We formulate the problem of self-propulsion at low Reynolds number in terms of a gauge field over the space of shapes. The computation of this field is discussed, and carried out in some examples. We apply our results to determine maximally efficient infinitesimal swimming motions of spheres and circular cylinders.
, Shapere, , Wilczek
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Life at low Reynolds number

AIP Conference Proceedings, 1976
E d i t o r’s note: This is a reprint (slightly edited) of a paper of the same title that appeared in the book Physics and Our World: A Symposium in Honor of Victor F. Weisskopf, published by the American Institute of Physics (1976). The personal tone of the original talk has been preserved in the paper, which was itself a slightly edited transcript of
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Optimal Length of Low Reynolds Number Nanopropellers

Nano Letters, 2015
Locomotion in fluids at the nanoscale is dominated by viscous drag. One efficient propulsion scheme is to use a weak rotating magnetic field that drives a chiral object. From bacterial flagella to artificial drills, the corkscrew is a universally useful chiral shape for propulsion in viscous environments.
Walker (Schamel), D.   +4 more
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Low Reynolds Number Flow

2009
Newton’s second law of motion stipulates that the rate of change of momentum of a fluid parcel must be balanced by the body force exerted over the parcel volume and by the surface force exerted on the parcel boundary. Under certain conditions, the rate of change of momentum of the parcel is small compared to the body and surface force, and can be ...
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Flow at low Reynolds numbers

2001
Abstract Flows at low Reynolds number, a concept introduced in Chapter 2, are characterized by the fact that viscosity effects dominate inertial ones. The Stokes equation, which describes these flows, is linear, because the convective non-linear term (∇. ∇) ∇ can be neglected.
Etienne Guyon   +3 more
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Transonic low-Reynolds number airfoils

Journal of Aircraft, 1991
Airfoils operating in the unexplored high-Mach—low-Reynolds number regime are computationally investigated. The motivations are 1) quantificatio n of achievable airfoil performance levels; 2) quantificatio n of parameter sensitivities which impact vehicle sizing; 3) identification of possible shortcomings in the computational methods employed; and 4 ...
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Dynamic Coupling at Low Reynolds Number

Angewandte Chemie International Edition, 2019
AbstractCollective and emergent behaviors of active colloids provide useful insights into the statistical physics of out‐of‐equilibrium systems. Colloidal suspensions containing microscopic active swimmers have been intensively studied to understand the principles of energy transfer at low Reynolds number conditions.
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Low and High Reynolds Numbers

1977
The Reynolds number — introduced in the last chapter in the context of dynamical similarity — can be given a physical interpretation. This is useful in gaining an understanding of the dynamical processes that are important in different Reynolds number ranges, and in formulating corresponding approximations to the equations of motion.
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Low-Reynold-Number Flows

2015
Abstract This chapter uses asymptotic analysis to study low-Reynolds-number viscous flows. It considers two classical problems of low-Reynolds-number flow theory: flow past a sphere and past a circular cylinder. When dealing with the sphere flow, the chapter shows that in the ‘inner region’ the Navier–Stoke’s equations reduce, in the ...
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Transport at Low Reynolds Numbers

1997
As discussed in Chapter 1, fluid dynamics at low Reynolds numbers refers to what is commonly known as creeping flow to chemical engineers, and physically corresponds to motion with little or no inertia. Such motion generally arises in systems involving fluids with high viscosity or interacting particles of small dimension.
S. S. Sadhal   +2 more
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