Results 81 to 90 of about 1,650 (161)
Helical swimming in Stokes flow using a novel boundary-element method
, 2013 We apply the boundary-element method to Stokes flows with helical symmetry, such as the flow driven by an immersed rotating helical flagellum. We show that the two-dimensional boundary integral method can be reduced to one dimension using the helical ...
Breuer, Kenneth S. +2 more
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Hydrodynamics of Micro-swimmers in Films [PDF]
, 2016 One of the principal mechanisms by which surfaces and interfaces affect microbial life is by perturbing the hydrodynamic flows generated by swimming. By summing a recursive series of image systems we derive a numerically tractable approximation to the ...
Doostmohammadi, Amin +3 more
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Three Simple Stokeslet Trajectories
Industrial & Engineering Chemistry ResearchExact results for three trajectories of small numbers of particles interacting hydrodynamically through Stokeslets are presented. First, the middle particle in a vertical trio of particles sediments at a constant velocity for all time. Second, a horizontal pair of particles sedimenting toward a rigid wall undergo a finite and surprisingly constant ...
openaire +2 more sources
Pairwise interactions in inertially-driven one-dimensional microfluidic crystals
, 2018 In microfluidic devices, inertia drives particles to focus on a finite number of inertial focusing streamlines. Particles on the same streamline interact to form one-dimensional microfluidic crystals (or "particle trains").
Hood, Kaitlyn, Roper, Marcus
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Passive swimming in low Reynolds number flows
, 2010 The possibility of microscopic swimming by extraction of energy from an external flow is discussed, focusing on the migration of a simple trimer across a linear shear flow.
J. Happel, Piero Olla
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There's more than one way to cancel a regularized Stokeslet
, 2019 The Green's functions of Stokes flow are widely used analytical and computational tools for microscale flows. We adapt a procedure from H.A. Lorentz for the method of images in Stokes flow to the regularized setting. Our solutions differ from those previously reported, a surprising result given the uniqueness theory for elliptic partial differential ...
Mitchell, William H., Pantova, Dona
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Fast Ewald summation for free-space Stokes potentials
, 2016 We present a spectrally accurate method for the rapid evaluation of free-space Stokes potentials, i.e. sums involving a large number of free space Green's functions.
Klinteberg, Ludvig af +2 more
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Fluid Velocity Fluctuations in a Suspension of Swimming Protists
, 2010 In dilute suspensions of swimming microorganisms the local fluid velocity is a random superposition of the flow fields set up by the individual organisms, which in turn have multipole contributions decaying as inverse powers of distance from the organism.
D. L. Kirk +4 more
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Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space
, 2015 We derive new formulas for the fundamental solutions of slow, viscous flow, governed by the Stokes equations, in a half-space. They are simpler than the classical representations obtained by Blake and collaborators, and can be efficiently implemented ...
Gimbutas, Zydrunas +2 more
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