Based on diffusion concepts of transfer of slightly concentrated polydisperse suspensions in the gravity field, we propose a mathematical model of the kinetics of deposition of such suspensions in a plane layer of a homogeneously mixed medium through the free surface of which Stokesian particles penetrate according to the rectangular pulse law.
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References
R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena [Russian translation], Khimiya, Moscow (1974).
R. N. Nigmatulin, Principles of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).
I. A. Burovoi and A. Kh. Ibraev, A mathematical model of the process of mixing and separating of a polydisperse material in a bubbling bed, Izv. Vyssh. Uchebn. Zaved., Tsvetnaya Metallurg., 14, No. 1, 136–139 (1971).
V. M. Kharin, I. L. Khodarkov, and V. I. Ryazhskikh, A diffusional model of polydisperse suspensions, Teor. Osnovy Khim. Tekhnol., 20, No. 6, 733–739 (1986).
V. G. Ponomarenko et al., A mathematical model of the process of suspension hydroclassification in classifiers, Teor. Osnovy Khim. Tekhnol., 14, No. 4, 582–589 (1980).
V. M. Kharin, V. I. Ryazhskikh, and R. M. Zavadskikh, Deposition of cryogenic suspensions in reservoirs, Teor. Osnovy Khim. Tekhnol., 25, No. 5, 659–669 (1991).
A. Fortier, Mécanique des Suspensions [Russian translation], Mir, Moscow (1971).
V. M. Kharin and V. I. Ryazhskikh, Toward the theory of deposition, Teor. Osnovy Khim. Tekhnol., 23, No. 5, 651–658 (1989).
G. Korn and T. Korn, Handbook of Mathematics [Russian translation], Nauka, Moscow (1984).
G. Doetsch, Introduction to the Theory and Application of the Laplace Transformation [Russian translation], Fizmatgiz, Moscow (1971).
L. D. Landau and E. M. Lifshits, Theoretical Physics [in Russian], in 10 vols, Vol. 6, Hydrodynamics, Nauka, Moscow (1988).
V. M. Kharin, V. I. Ryazhskikh, and R. M. Zavadskikh, Kinetics of the deposition of impurities in transpiration cooling of cryogenic fluids, Teor. Osnovy Khim. Tekhnol., 30, No. 5, 453–457 (1996).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 1, pp. 27–33, January–February, 2012.
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Boger, A.A., Ryazhskikh, V.I. & Slyusarev, M.I. Mathematical modeling of the kinetics of deposition of particles during their pulse introduction through the free surface of a mixed-medium plane layer. J Eng Phys Thermophy 85, 29–36 (2012). https://doi.org/10.1007/s10891-012-0617-x
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DOI: https://doi.org/10.1007/s10891-012-0617-x