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Numerical modeling of the outflow of a viscous liquid from a bulk mixer

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Abstract

The slow flow of a viscous liquid with a free surface in the drain from bulk mixers at a given flow rate is modeled. A mathematical problem is formulated in a creeping-flow approximation. On the basis of the boundary element method, a numerical algorithm for solving the problem in a planar formulation is developed. Parametric studies of the main characteristics of the process as functions of control parameters are performed. Two flow patterns are studied. The dependence of the liquid holdup on control parameters at the moment the free surface reaches the plane of the drain hole is described. The stress distribution in the flow region is found. The calculation results are compared with the data of numerical and physical modeling of the drain in an axysimmetric formulation and also with the solution of the problem in the creeping-flow approximation.

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Authors and Affiliations

  1. Tomsk State University, pr. Lenina 36, Tomsk, 634050, Russia

    A. V. Novoshintsev, G. R. Shrager & V. A. Yakutenok

  2. Soyuz Federal Center for Dual-Use Technologies Federal State Unitary Enterprise, ul. Akademika Zhukova 45, Dzerzhinskii, Moscow oblast, 140090, Russia

    Yu. M. Milekhin & Yu. B. Banzula

Authors
  1. A. V. Novoshintsev
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  2. G. R. Shrager
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  3. V. A. Yakutenok
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  4. Yu. M. Milekhin
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  5. Yu. B. Banzula
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Original Russian Text © A.V. Novoshintsev, G.R. Shrager, V.A. Yakutenok, Yu.M. Milekhin, Yu.B. Banzula, 2006, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2006, Vol. 40, No. 6, pp. 666–672.

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Novoshintsev, A.V., Shrager, G.R., Yakutenok, V.A. et al. Numerical modeling of the outflow of a viscous liquid from a bulk mixer. Theor Found Chem Eng 40, 626–632 (2006). https://doi.org/10.1134/S004057950606011X

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