The rate of collisions due to Brownian or gravitational motion of small drops

DOI10.1017/S0022112091000861zbMath0728.76111OpenAlexW2095690087MaRDI QIDQ3352770

Robert H. Davis, Xiaoguang Zhang

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1017/s0022112091000861

zbMATH Keywords

lubrication theoryBrownian diffusionattractive forcestrajectory analysishydrodynamic resistancedilute dispersiongravitational sedimentationBrownian coalescenceBrownian collisionsgravity collisionssecond, immiscible fluid

Mathematics Subject Classification ID

Diffusion (76R50) Multiphase and multicomponent flows (76T99)

Related Items (8)

Collision efficiency of non-Brownian spheres in a simple shear flow – the role of non-continuum hydrodynamic interactions ⋮ Collective effects of temperature gradients and gravity on droplet coalescence ⋮ The collision rate of small drops in linear flow fields ⋮ Collision efficiency of like-charged spheres settling in a quiescent environment ⋮ Simple shear flow of suspensions of liquid drops ⋮ Buoyancy-driven viscous interaction of a rising drop with a smaller trailing drop ⋮ Interception of two spherical drops in linear Stokes flow ⋮ Collision rates of spherical drops or particles in a shear flow at arbitrary Péclet numbers

Cites Work

• The slow asymmetric motion of two drops in a viscous medium
• Calculation of the effectiveness of gravitational coagulation of drops with allowance for internal circulation
• The rate of coagulation of a dilute polydisperse system of sedimenting spheres
• Mobility functions for two unequal viscous drops in Stokes flow. I. Axisymmetric motions
• The lubrication force between two viscous drops
• Mobility functions for two unequal viscous drops in Stokes flow. II. Asymmetric motions
• Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory
• On the low reynolds number motion of two droplets
• Low reynolds number motion of two drops submerged in an unbounded arbitrary velocity field

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