Author:
Eckstein Eugene C.,Bailey Douglas G.,Shapiro Ascher H.
Abstract
Self-diffusion coefficients were determined experimentally for lateral dispersion of spherical and disk-like particles in linear shear flow of a slurry at very low Reynolds number. Using a concentric-cylinder Couette apparatus, recurrent observations were made of the lateral position of a particular radioactively labelled particle. The self-diffusion coefficientDwas calculated by means of random-walk theory, using the ergodic hypothesis. Owing to great experimental difficulties, the calculated values ofDare not of high accuracy, but are correct to within a factor of two. In the range 0 < ϕ < 0·2,D/a2ω increases from zero linearly with ϕ up toD/a2ω ≅ 0·02 (where ϕ = volumetric concentration of particles,a= particle radius, ω = mean shear rate of suspending fluid). In the range 0·2 < 0·5, the trend ofD/a2ω is not clear because of experimental scatter, but in this rangeD/a2ω ≅ 0·025 to within a factor of two. Within the experimental accuracy, spheres and disks have the same value ofD/a2ω.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference35 articles.
1. Cox, R. G. & Mason, S. G. 1971 Suspended particles in fluid flow through tubes.Ann. Rev. Fluid Mech. 3,291.
2. Diller, T. E. 1974 Augmentation of oxygen diffusion in blood due to shear induced red blood cell motion. S.M. thesis,Massachusetts Institute of Technology.
3. Colton, C. K. 1976 Fundamentals of gas transport in blood. In Membrane, Artificial Lungs, and Acute Respiratory Failure (ed. W. M. Zapol & J. Qvisp ), p. 3. Hemisphere Publ. Co., Washington D.C.
4. Batchelor, G. K. 1974 Transport properties of two-phase materials with random structure.Ann. Rev. Fluid Mech. 6,227.
5. Steinbach, J. H. 1974 Red cell diffusion measurements by the Taylor dispersion method. Ph.D. thesis,University of Minnesota.
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