The Motion of Small Particles and Droplets in Quadratic Flows

DOI10.1002/sapm199185153zbMath0726.76100OpenAlexW2470627317MaRDI QIDQ3348648

Howard A. Stone, Ali Nadim

Publication date: 1991

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm199185153

zbMATH Keywords

dropletsLamb's general solutionleading-order deformationlow-Reynolds-number motion of small particlesunbounded quadratic flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76T99)

Related Items (7)

On the motion of two-dimensional vortices with mass ⋮ Viscous Marangoni migration of a drop in a Poiseuille flow at low surface Péclet numbers ⋮ Surfactant-induced migration of a spherical drop in Stokes flow ⋮ Hydrodynamic force on a sphere normal to an obstacle due to a non-uniform flow ⋮ Three-dimensional numerical simulation of receptor-mediated leukocyte adhesion to surfaces: Effects of cell deformability and viscoelasticity ⋮ Chaotic streamlines inside drops immersed in steady Stokes flows ⋮ Heterogeneous dispersions as microcontinuum fluids

Cites Work

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• On a class of steady confined Stokes flows with chaotic streamlines
• Viscous interactions of many neutrally buoyant spheres in Poiseuille flow
• A note on the motion of a spherical particle in a general quadratic flow of a second-order fluid
• Note on the Faxén relations for a particle in Stokes flow
• The motion of a deformable drop in a second-order fluid
• The transverse force on a drop in an unbounded parabolic flow
• Inertial migration of rigid spheres in two-dimensional unidirectional flows
• The deformation of a drop in a general time-dependent fluid flow
• Irreducible Cartesian Tensors. II. General Formulation
• The dynamics of a deformable drop suspended in an unbounded Stokes flow
• Behaviour of macroscopic rigid spheres in Poiseuille flow Part 1. Determination of local concentration by statistical analysis of particle passages through crossed light beams

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