Particle motion in Stokes flow near a plane fluid–fluid interface. Part 2. Linear shear and axisymmetric straining flows

DOI10.1017/S0022112084002652zbMath0568.76044OpenAlexW2124569685MaRDI QIDQ3685438

L. Gary Leal, Seung-Man Yang

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1017/s0022112084002652

zbMATH Keywords

higher-order singularitiesmethod of reflectionsrotletsneutrally buoyant particlearbitrary viscosity ratiomotion of slender bodyplane fluid-fluid interfaceJeffrey orbit equationstrajectory equations

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Stokes and related (Oseen, etc.) flows (76D07)

Related Items

Three-dimensional simulations of a platelet-shaped spheroid near a wall in shear flow, Effect of surface slip on Stokes flow past a spherical particle in infinite fluid and near a plane wall, Motion of a spherical particle inside a liquid film, Inhomogeneous distribution of a rigid fibre undergoing rectilinear flow between parallel walls at high Péclet numbers, Migration of a solid particle in the vicinity of a plane fluid-fluid interface, The hydrodynamic lift of a slender, neutrally buoyant fibre in a wall-bounded shear flow at small Reynolds number

Cites Work

• Motion of a sphere in the presence of a plane interface. Part 1. An approximate solution by generalization of the method of Lorentz
• Motion of a sphere in the presence of a plane interface. Part 2. An exact solution in bipolar co-ordinates
• The slow motion of slender rod-like particles in a second-order fluid
• Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flows
• The motion of long slender bodies in a viscous fluid. Part 2. Shear flow
• Slender-body theory for particles of arbitrary cross-section in Stokes flow