Gravitational and zero-drag motion of a sphere of arbitrary size in an inclined channel at low Reynolds number

DOI10.1017/S0022112082002390zbMath0499.76030OpenAlexW2138320253MaRDI QIDQ3965781

Sheldon Weinbaum, Peter Ganatos, Robert Pfeffer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0022112082002390

zbMATH Keywords

gravitational settling of non-neutrally buoyant sphere in inclined channelinduced back-flowinduced circulationnon-isotropy of frictional resistance tensornormal and parallel creeping motion of sphereparticle-boundary interaction problemsslip and angular velocity of neutrally buoyant sphere in Couette or Poiseuille channel flowstrong-interactiontwo infinite plane-parallel walls

Mathematics Subject Classification ID

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

Related Items

Numerical solution of two-dimensional Stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates ⋮ Numerical simulations of concentrated suspensions of monodisperse particles in a Poiseuille flow ⋮ The three-dimensional hydrodynamic interaction of a finite sphere with a circular orifice at low Reynolds number ⋮ The motion of particles in the Hele-Shaw cell ⋮ Single-particle dynamics in a low-Reynolds-number fluid under spherical confinement ⋮ A strong-interaction theory for the motion of arbitrary three-dimensional clusters of spherical particles at low Reynolds number ⋮ Dynamic simulation of bounded suspensions of hydrodynamically interacting particles ⋮ Dynamics of concentrated suspensions of non-colloidal particles in Couette flow ⋮ Effect of confinement in wall-bounded non-colloidal suspensions

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
• Inertial migration of rigid spheres in two-dimensional unidirectional flows
• Viscous flow in a cylindrical tube containing a line of spherical particles
• A new technique for treating multiparticle slow viscous flow: axisymmetric flow past spheres and spheroids