Abstract
A numerical investigation has been made of the linear instability of the steady falling under gravity of an infinite horizontal layer of fine dispersed particles in an incompressible atmosphere. The layer has an inhomogeneous vertical distribution of the dispersed phase and a small volume concentration of the particles, the hydrodynamic interaction between which occurs solely through the carrier phase. It is shown that steady falling is unstable and that the layer of particles breaks up into individual convective cells with a characteristic scale of the order of the thickness of the layer.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 78–83, January–February, 1991.
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Makhviladze, G.M., Serov, D.V. & Yakush, S.E. Circulation instability of steady falling of a flat layer of fine dispersed particles. Fluid Dyn 26, 64–69 (1991). https://doi.org/10.1007/BF01050114
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DOI: https://doi.org/10.1007/BF01050114