A first-principle predictive theory for a sphere falling through sharply stratified fluid at low Reynolds number

DOI10.1017/S0022112010003800zbMath1221.76064OpenAlexW2054152301MaRDI QIDQ3173367

Claudia Falcon, Nicholas Mykins, Richard M. McLaughlin, Joyce Lin, Roberto Camassa

Publication date: 27 September 2011

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

Full work available at URL: https://doi.org/10.1017/s0022112010003800

zbMATH Keywords

Stokesian dynamicsstratified flowsparticle/fluid flows

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Stratification effects in viscous fluids (76D50)

Related Items (9)

Retention and entrainment effects: Experiments and theory for porous spheres settling in sharply stratified fluids ⋮ Deformation of ambient chemical gradients by sinking spheres ⋮ Self-induced flow over a cylinder in a stratified fluid ⋮ On the rising and sinking motion of bouncing oil drops in strongly stratified liquids ⋮ Density distribution in the flow past a sphere descending in a salt-stratified fluid ⋮ Passive flight in density-stratified fluids ⋮ Settling disks in a linearly stratified fluid ⋮ Core mechanisms of drag enhancement on bodies settling in a stratified fluid ⋮ Settling of highly porous and impermeable particles in linear stratification: implications for marine aggregates

Cites Work

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• Brachistochrones in potential flow and the connection to Darwin's theorem
• Equation of motion for a small rigid sphere in a nonuniform flow
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• An internal splash: Levitation of falling spheres in stratified fluids
• A hydrodynamic analysis of flagellar propulsion
• Gravitational settling of particles through density interfaces
• Multipole methods for boundary-value problems involving a sphere in a tube
• Prolonged residence times for particles settling through stratified miscible fluids in the Stokes regime
• A generalized Poincaré-Hopf index formula and its applications to 2-D incompressible flows

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