Abstract
A double continuum model is proposed to describe the gravitational convection in rarefied suspensions in a broad range of the ratio of phase densities. The similarity parameters are determined and the limiting case of low-inertia particles is considered, in which the problem formulation is significantly simplified. Examples of numerical calculations of the gravitational convection during the sedimentation of heavy particles in a viscous medium in a tilted two-dimensional rectangular cavity. The results of calculations confirm the well-known experimental fact of an increase in the effective sedimentation rate of a dispersed impurity in a vessel with walls deviating from the direction of gravity.
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References
E. S. Asmolov, Phys. Fluids 16, 3086 (2004).
A. Acrivos and E. Herbolzheimer, J. Fluid Mech. 92, 435 (1979).
E. E. Michaelides, J. Fluids Eng. 125, 209 (2003).
Yu. A. Nevskii and A. N. Osiptsov, Vestn. Mosk. Gos. Univ., Ser. 1, Mat. Mekh., No. 4, 37 (2008) [Moscow Univ. Mech. Bull. 63 (4), 85 (2008)].
R. I. Nigmatulin, Principles of Mechanics of Heterogeneous Media (Nauka, Moscow, 1978) [in Russian].
M. R. Maxey and J. J. Riley, Phys. Fluids 26, 883 (1983).
A. A. Kornev and E. V Chizhonkov, Exercises in Numerical Methods (Moscow State Univ., Moscow, 2002) [in Russian].
F. A. Blanchette, Sedimentation in Stratified Ambient (PhD Thesis) (Massachusetts Institute of Technology, 2003).
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Original Russian Text © Yu.A. Nevskii, A.N. Osiptsov, 2009, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 35, No. 7, pp. 98–105.