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Navier–Stokes Solutions with Symmetry Constraints and Their Relation with Transitional and Turbulent Pipe Flows

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Abstract

The prevailing mathematical model describing the laminar–turbulent transition in a circular pipe is based on a full system of Navier–Stokes equations. Calculations using this model are very expensive; in addition, the computed dynamics is chaotic and too complex to decode the transition scenario. In the present study we consider certain simplifications, including popular cases restricting the dynamics to reflectional and rotational symmetries. We show that in these two cases transitional and turbulent flows cannot be computed properly.

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ACKNOWLEDGMENTS

The author is grateful to O.G. Chkhetiani for helpful discussions of this work.

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Authors and Affiliations

  1. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Moscow, Russia

    V. G. Priymak

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  1. V. G. Priymak
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Correspondence to V. G. Priymak.

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Priymak, V.G. Navier–Stokes Solutions with Symmetry Constraints and Their Relation with Transitional and Turbulent Pipe Flows. Dokl. Phys. 66, 293–295 (2021). https://doi.org/10.1134/S1028335821100037

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  • DOI: https://doi.org/10.1134/S1028335821100037

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