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Three-Dimensional Flows in a Rotating Cylinder in the Presence of Turbulent Boundary Layers on End Disks

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Abstract

An analytical model for calculating a viscous incompressible fluid flow in a rotating cylinder with a braking lid and the formation of turbulent boundary layers on the end surfaces is presented. The analysis is made with account for all nonlinear inertial terms in the equations of motion, within the framework of Loitsyanskii's integral relations. The approximate velocity profiles in the boundary layers are preassigned in accordance with the empirical 1/7 law. The main flow is subdivided into an inviscid quasisolid core and a lateral layer, where almost the entire upward part of a circulatory flow is concentrated. The unknown angular velocity of the core and its radial boundary are evaluated from the balance between the moments of the friction forces acting on the main rotating flow and the continuity condition for the circulatory flow.

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Funding

The study is carried out with the support of the Program for Improving the Competitiveness of the National Research Nuclear University MEPhI under contract No. 02.a03.21.0005 of August 27, 2013.

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Authors and Affiliations

  1. National Research Nuclear University MEPhI, Kashirskoe Shosse 31, Moscow, 115409, Russia

    V. D. Borisevich & E. P. Potanin

  2. National Research Center “Kurchatov Institute,”, Akademika Kurchatova pl. 1, Moscow, 123182, Russia

    E. P. Potanin

Authors
  1. V. D. Borisevich
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  2. E. P. Potanin
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Corresponding authors

Correspondence to V. D. Borisevich or E. P. Potanin.

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Declaration of Conflicting Interests

The Authors declare no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

Russian Text © The Author(s), 2019, published in Izvestiya RAN. Mekhanika Zhidkosti i Gaza, 2019, No. 4, pp. 19–26.

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Borisevich, V.D., Potanin, E.P. Three-Dimensional Flows in a Rotating Cylinder in the Presence of Turbulent Boundary Layers on End Disks. Fluid Dyn 54, 457–465 (2019). https://doi.org/10.1134/S0015462819030029

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  • DOI: https://doi.org/10.1134/S0015462819030029

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