The author has formulated the problem of gravity stratification and formation of a sediment of a hydrodynamically low-concentration monodisperse suspension of solid particles not involved in Brownian diffusion and moving in a horizontal plane channel during the laminar flow of a Newtonian dispersed phase. A solution to the initial boundary-value problem for first-order partial differential equations has been obtained in analytical form by applying the one-sided integral Laplace transformation with respect to the axial coordinate. Using the principle of superposition of concentration fields of the fractions, the solution has been generalized to the case of a polydisperse suspension with an arbitrary particle-size-distribution density function. An estimate for the accuracy of physical linearization on replacement of the laminar flow of the carrier medium by an ideal-displacement regime has been given. A comparative analysis of computational experiments with classical experimental data for a wide range of the sedimentation Reynolds number has shown the correctness of the proposed approach.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 6, pp. 1375–1384, November–December, 2020.
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Ryazhskikh, A.V. Distribution of the Dispersed Phase in a Plane Horizontal Channel in Laminar Motion of a Low-Concentration Suspension. J Eng Phys Thermophy 93, 1324–1334 (2020). https://doi.org/10.1007/s10891-020-02238-w
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DOI: https://doi.org/10.1007/s10891-020-02238-w