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Numerical investigation of viscous gas secondary flows in a rotating cylinder with sources and sinks

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Abstract

A source-sink model of secondary flow excitation in a rotating cylinder, which describes the interaction between a circulator and a rotating gas, is proposed for a nonlinear system of Navier-Stokes equations, and the results of a numerical calculation of the resulting circulating flows are presented. The modified Newton's method employed in the numerical solution makes use of regularizing perturbations to ensure its stability and convergence at low Ekman numbers and high rates of rotation of the cylinder. The combined effect of mechanical and thermal means of flow excitation and the influence of viscous energy dissipation are considered.

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Authors and Affiliations

  1. Moscow

    V. D. Borisevich, E. V. Levin & V. V. Naumochkin

Authors
  1. V. D. Borisevich
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  2. E. V. Levin
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  3. V. V. Naumochkin
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 39–44, July–August, 1989.

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Borisevich, V.D., Levin, E.V. & Naumochkin, V.V. Numerical investigation of viscous gas secondary flows in a rotating cylinder with sources and sinks. Fluid Dyn 24, 520–524 (1989). https://doi.org/10.1007/BF01052411

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  • DOI: https://doi.org/10.1007/BF01052411

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