A porous prolate-spheroidal model for ciliated micro-organisms

DOI10.1017/S0022112077001669zbMath0352.76080MaRDI QIDQ4123039

Stuart R. Keller, Theodore Yao-Tsu Wu

Publication date: 1977

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Biopropulsion in water and in air (76Z10)

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Problems and progress in microswimming ⋮ Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations ⋮ A control theoretic approach to the swimming of microscopic organisms ⋮ Mathematical model for unsteady ciliary propulsion ⋮ Influence of heterogeneity or shape on the locomotion of a caged squirmer ⋮ Stick-slip squirmers: slip asymmetry can qualitatively change self-swimming characteristics of squirmers ⋮ Arbitrary axisymmetric steady streaming: flow, force and propulsion ⋮ Mathematical model for the propulsion of a ciliated micro-organism with differential spin ⋮ Optimal slip velocities of micro-swimmers with arbitrary axisymmetric shapes ⋮ Optimal ciliary locomotion of axisymmetric microswimmers ⋮ Slender axisymmetric Stokesian swimmers ⋮ Self-propulsion of \(N\)-hinged `animats' at low Reynolds number ⋮ Controllability properties of a class of systems modeling swimming microscopic organisms ⋮ Optimal swimmers can be pullers, pushers or neutral depending on the shape ⋮ Swimming mediated by ciliary beating: comparison with a squirmer model ⋮ The effect of particle geometry on squirming through a shear-thinning fluid ⋮ On the rotation of porous ellipsoids in simple shear flows

Cites Work

• An oscillating-boundary-layer theory for ciliary propulsion
• A spherical envelope approach to ciliary propulsion
• Infinite models for ciliary propulsion
• A model for the micro-structure in ciliated organisms

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