On the hydrodynamic interaction of two spheres oscillating in a viscous fluid. I. Axisymmetrical case

DOI10.1007/BF00944443zbMath0497.76037OpenAlexW1990542439MaRDI QIDQ1170955

S. S. Tabakova, Z. D. Zapryanov

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00944443

zbMATH Keywords

stream functionpolar coordinateshydrodynamic forceshydrodynamic interaction of two solid spheresoscillating in direction parallel to their line of centerssteady streaming induced 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)

Related Items (10)

Nonlinear drift interactions between fluctuating colloidal particles: oscillatory and stochastic motions ⋮ On the hydrodynamic interaction of two circular cylinders oscillating in a viscous fluid ⋮ On the hydrodynamic interaction of two coaxial spheres oscillating in a viscous fluid with a slip regime ⋮ On the hydrodynamic interaction of two spheres oscillating in a viscous fluid. II. Three dimensional case ⋮ Time reversibility and non-deterministic behaviour in oscillatorily sheared suspensions of non-interacting particles at high Reynolds numbers ⋮ Boundary layer growth on two circular cylinders ⋮ Fluid flows around cascades ⋮ Boundary layer growth on two spheres ⋮ Streaming-enhanced flow-mediated transport ⋮ Streaming flow induced by an oscillating cascade of circular cylinders

Cites Work

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• The flow field induced by the torsional oscillations of a spherical cell containing a fluid drop
• The lateral migration of spherical particles sedimenting in a stagnant bounded fluid
• The flow field induced by an oscillating fluid drop immersed in another fluid
• Steady streaming induced between oscillating cylinders
• Double boundary layers in oscillatory viscous flow
• Heat transfer from a circular cylinder by acoustic streaming
• On high-frequency oscillatory viscous flows

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