Heat and mass transport in composites of aligned slender fibers

DOI10.1063/1.857546zbMath0656.76077OpenAlexW2042127764MaRDI QIDQ3804382

Glenn H. Fredrickson, Eric S. G. Shaqfeh

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.857546

zbMATH Keywords

composite mediaconfigurational-averaged Green's functiondiffusion-controlled reaction problemlong-wavelength singularitiesrandomly placed, aligned slender fibersrenormalized seriessteady diffusion-controlled reactionsteady transport propertiestopological reductions

Mathematics Subject Classification ID

Related Items (7)

Behavior of a net of fibers linked by viscous interactions: theory and mechanical properties ⋮ Orientational dispersion of fibers in extensional flows ⋮ The hydrodynamic stress in a suspension of rods ⋮ The extensional viscosity and effective thermal conductivity of a dispersion of aligned disks ⋮ A numerical study of the rheological properties of suspensions of rigid, non-Brownian fibres ⋮ The average rotation rate of a fiber in the linear flow of a semidilute suspension ⋮ Slender body theory for particles with non-circular cross-sections with application to particle dynamics in shear flows

Cites Work

• Linear theory of disordered fibre-reinforced composites
• A nonlocal theory for the heat transport in composites containing highly conducting fibrous inclusions
• Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects
• On the effective thermal conductivity of dilute suspensions containing highly conducting slender inclusions
• An averaged-equation approach to particle interactions in a fluid suspension
• A slender-body theory for ship oscillations in waves
• The stress generated in a non-dilute suspension of elongated particles by pure straining motion
• ON THE EFFECTIVE THERMAL CONDUCTIVITY OF DILUTE DISPERSIONS: HIGHLY CONDUCTING INCLUSIONS OF ARBITRARY SHAPE
• The Radiation Theories of Tomonaga, Schwinger, and Feynman
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
• Multiple Scattering of Waves

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