General theory for the creeping motion of a finite sphere along the axis of a circular orifice

DOI10.1017/S0022112082001566zbMath0501.76027OpenAlexW2129511960MaRDI QIDQ3967223

Zeev Dagan, Robert Pfeffer, Sheldon Weinbaum

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0022112082001566

zbMATH Keywords

dual integral equationsboundary collocation techniquecreeping motionsemi-infinite spaceno slip conditionengineering and biological applicationsflow past solid sphere moving axiallyinfinite wall of zero thicknessproblem to match, at orifice opening, solutions kinematically and dynamicallyunknown functions of radial and axial velocities at orifice

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Biological fluid mechanics (76Z99) Basic methods in fluid mechanics (76M99)

Related Items

Particle deposition onto a microsieve, The three-dimensional hydrodynamic interaction of a finite sphere with a circular orifice at low Reynolds number, Stokes flow of a rotating sphere around the axis of a circular orifice or a circular disk, Electrophoresis of a colloidal sphere along the axis of a circular orifice or a circular disk, Stokes flow in curved channels, The three-dimensional fundamental solution to Stokes flow in the oblate spheroidal coordinates with applications to multiples spheroid problems

Cites Work

• A numerical-solution technique for three-dimensional Stokes flows, with application to the motion of strongly interacting spheres in a plane
• Stokes flow past finite coaxial clusters of spheres in a circular cylinder
• A new technique for treating multiparticle slow viscous flow: axisymmetric flow past spheres and spheroids