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Mechanism of Formation of Prandtl’s Secondary Flows of the Second Kind

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Abstract

Turbulent flow in a tube of square cross section is investigated numerically. The concentrated longitudinal vortices responsible for the occurrence of secondary flows are studied. It is shown that the longitudinal vortices are formed as a result of nonlinear interaction of turbulent pulsations in which the pulsations of the longitudinal component of vorticity are specially adjusted in phase with the pulsations of the longitudinal-velocity component. A physical interpretation of this mechanism is given.

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ACKNOWLEDGMENTS

The research was carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University, and supported by the Russian Foundation for Basic Research, project no. 17-01-00140-a.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, 117192, Moscow, Russia

    N. V. Nikitin, V. O. Pimanov & N. V. Popelenskaya

Authors
  1. N. V. Nikitin
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  2. V. O. Pimanov
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  3. N. V. Popelenskaya
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Correspondence to N. V. Popelenskaya.

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Translated by V. Bukhanov

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Nikitin, N.V., Pimanov, V.O. & Popelenskaya, N.V. Mechanism of Formation of Prandtl’s Secondary Flows of the Second Kind. Dokl. Phys. 64, 61–65 (2019). https://doi.org/10.1134/S1028335819020034

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  • DOI: https://doi.org/10.1134/S1028335819020034

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