Stokes flow in ellipsoidal geometry

DOI10.1063/1.2345474zbMath1112.76020OpenAlexW2037698437MaRDI QIDQ3442037

Panayiotis Vafeas, George Dassios

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2345474

zbMATH Keywords

Papkovich-Neuber representationellipsoidal particlesharmonic ellipsoidal eigenfunctions

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Suspensions (76T20)

Related Items (7)

Connection formulae between ellipsoidal and spherical harmonics with applications to fluid dynamics and electromagnetic scattering ⋮ Cell models for micropolar flow past a viscous fluid sphere ⋮ Unnamed Item ⋮ On the perturbation of the three-dimensional Stokes flow of micropolar fluids by a constant uniform magnetic field in a circular cylinder ⋮ Low-frequency dipolar excitation of a perfect ellipsoidal conductor ⋮ Light-induced thermoosmosis about conducting ellipsoidal nanoparticles ⋮ A general theoretical model for the magnetohydrodynamic flow of micropolar magnetic fluids. Application to Stokes flow

Cites Work

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• Stokes flow in spheroidal particle-in-cell models with Happel and Kuwabara boundary conditions
• The 3D Happel model for complete isotropic Stokes flow
• Singularity solutions for ellipsoids in low-Reynolds-number flows: With applications to the calculation of hydrodynamic interactions in suspensions of ellipsoids
• The general solution for an ellipsoid in low-Reynolds-number flow
• GENERAL COMPLETE SOLUTIONS OF THE EQUATIONS OF SPATIAL AND AXISYMMETRIC STOKES FLOW
• Generalized eigenfunctions and complete semiseparable solutions for Stokes flow in spheroidal coordinates
• Interrelation between Papkovich-Neuber and Stokes general solutions of the stokes equations in spheroidal geometry

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