On the hydrodynamic interaction of two spheres oscillating in a viscous fluid. II. Three dimensional case

DOI10.1007/BF00955698zbMath0497.76038MaRDI QIDQ1170956

S. S. Tabakova, Z. D. Zapryanov

Publication date: 1982

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

stream functionpolar coordinateshydrodynamic forcesthree dimensionalhigh frequencysmall amplitudescircular cylindrical and bi-spherical coordinatesfull unsteady equationshydrodynamic interaction of two unequal spheresoscillating in direction perpendicular to their central linesteady streaming inside and outside of boundary layers

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Basic methods in fluid mechanics (76M99)

Related Items (5)

Nonlinear drift interactions between fluctuating colloidal particles: oscillatory and stochastic motions ⋮ On the hydrodynamic interaction of two circular cylinders oscillating in a viscous fluid ⋮ Boundary layer growth on two circular cylinders ⋮ Boundary layer growth on two spheres ⋮ Streaming-enhanced flow-mediated transport

Cites Work

• On the hydrodynamic interaction of two spheres oscillating in a viscous fluid. I. Axisymmetrical case
• A Slow motion of viscous liquid caused by a slowly moving solid sphere
• A slow motion of viscous liquid caused by the rotation of a solid sphere

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