For the rate of sedimentation of a particle, a simple interpolation formula including the limiting cases of high and low Reynolds numbers is suggested. It is seen that coarse particles settling by the Newton law entrain fine fractions of a suspension much more weakly than analogous particles settling according to the Stokes law. The influence of non-Stokesian sedimentation on the effect of acceleration of particles in a polydisperse suspension has been analyzed. In particular, it is found that the rate of sedimentation of the finest particles of a polydisperse suspension is equal to the Stokesian rate for a particle with an effective diameter that depends on the suspension parameters. An expression for this effective diameter is given.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 1, pp. 18–26, January–February, 2012.
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Dueck, J., Minkov, L.L. Non-stokesian sedimentation as applied to the analysis of the interaction of particles in a suspension. J Eng Phys Thermophy 85, 19–28 (2012). https://doi.org/10.1007/s10891-012-0616-y
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DOI: https://doi.org/10.1007/s10891-012-0616-y