Orientational dispersion of fibers in extensional flows

DOI10.1063/1.857608zbMath0703.76034OpenAlexW1980027968MaRDI QIDQ3482973

Eric S. G. Shaqfeh

Publication date: 1990

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857608

zbMATH Keywords

kinetic theorymean-squared displacementdispersion of particle orientationsemidilute suspensions

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Statistical mechanics of liquids (82D15)

Related Items (15)

Numerical study of rotational diffusion in sheared semidilute fibre suspension ⋮ Solution of three-dimensional fiber orientation in two-dimensional fiber suspension flows ⋮ Sedimentation of axisymmetric particles in shear flows ⋮ Hydrodynamic diffusion of a sphere sedimenting through a dilute suspension of neutrally buoyant spheres ⋮ A numerical analysis of the evolution of bundle orientation in concentrated fibre-bundle suspensions ⋮ Planar contraction design with specified fibre orientation distribution at the outlet ⋮ Polymer stretch in dilute fixed beds of fibres or spheres ⋮ A numerical study of the rheological properties of suspensions of rigid, non-Brownian fibres ⋮ A Lagrangian finite element method for simulation of a suspension under planar extensional flow ⋮ The average rotation rate of a fiber in the linear flow of a semidilute suspension ⋮ The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow ⋮ A model for orientational diffusion in fiber suspensions ⋮ Hydrodynamic diffusion of suspended particles: a symposium ⋮ Hydrodynamic, translational diffusion in fiber suspensions subject to simple shear flow ⋮ Simple shear flow of a suspension of fibres in a dilute polymer solution at high Deborah number

Cites Work

• Slow Flows of Anisotropic Fluids
• The hydrodynamic stress in a suspension of rods
• The effect of hydrodynamic interactions on the orientation of axisymmetric particles flowing through a fixed bed of spheres or fibers
• Transport processes in random arrays of cylinders. I. Thermal conduction
• Heat and mass transport in composites of aligned slender fibers
• A nonlocal theory for the heat transport in composites containing highly conducting fibrous inclusions
• The combined effects of hydrodynamic interactions and Brownian motion on the orientation of particles flowing through fixed beds
• The motion of rigid particles in a shear flow at low Reynolds number
• Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations
• Slender-body theory for particles of arbitrary cross-section in Stokes flow
• The stress generated in a non-dilute suspension of elongated particles by pure straining motion
• The determination of the bulk stress in a suspension of spherical particles to order c 2
• Sedimentation in a dilute dispersion of spheres

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