Singularity method for oblate and prolate spheroids in Stokes and linearized oscillatory flow

DOI10.1063/1.1643402zbMath1186.76472OpenAlexW1985386665MaRDI QIDQ3554282

Lisa F. Shatz

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1643402

zbMATH Keywords

hydrodynamicsflow instabilityexternal flowsfluid oscillationsrotational flowGreen's function methodsboundary-elements methods

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (9)

Motion of slender bodies in unsteady Stokes flow ⋮ Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis ⋮ The method of fundamental solutions for oscillatory and porous buoyant flows ⋮ Slender body method for slender prolate spheroids and hemispheroids on planes in linearized oscillatory flow ⋮ Effects of inertia and viscoelasticity on sedimenting anisotropic particles ⋮ Boundary integral solutions of coupled Stokes and Darcy flows ⋮ Interfacial capillary-gravity waves due to a fundamental singularity in a system of two semi-infinite fluids ⋮ Optimal viscous damping of vibrating porous cylinders ⋮ Generation of free-surface gravity waves by an unsteady Stokeslet

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• A singularity method for unsteady linearized flow
• Singularity solutions for ellipsoids in low-Reynolds-number flows: With applications to the calculation of hydrodynamic interactions in suspensions of ellipsoids
• A study of linearized oscillatory flow past particles by the boundary-integral method
• Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flows
• Indirect boundary element method for unsteady linearized flow over prolate and oblate spheroids and hemispheroidal protuberances

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