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Exact Solutions of the Navier–Stokes Equations for Describing the Rotating Fluid

  • AERO- AND GAS-DYNAMICS OF FLIGHT VEHICLES AND THEIR ENGINES
  • Technical Notes
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Abstract

A new exact solution of the Oberbeck–Boussinesq equations for the rotating fluid is obtained. The convection of the rotating fluid is described by the quadratic heating of the boundaries of an infinite liquid layer. This exact solution describes dynamic equilibria in an incompressible fluid or an incompressible gas.

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ACKNOWLEDGEMENTS

The study was supported by the Ministry of Science and Higher Education of the Russian Federation (registration number is NIOKTR AAAA-A20-120102190039-6).

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Authors and Affiliations

  1. Tupolev Kazan National Research Technical University, ul. Karla Marksa 10, 420111 , Kazan, Tatarstan, Russia

    O. A. Ledyankina, E. Yu. Prosviryakov & E. V. Romanova

  2. Institute of Engineering Science, Ural Branch of the RAS, ul. Komsomolskaya 34, 620049, Ekaterinburg, Russia

    E. Yu. Prosviryakov

Authors
  1. O. A. Ledyankina
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  2. E. Yu. Prosviryakov
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  3. E. V. Romanova
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Corresponding author

Correspondence to O. A. Ledyankina.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Aviatsionnaya Tekhnika, 2022, No. 2, pp. 184 - 188.

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Ledyankina, O.A., Prosviryakov, E.Y. & Romanova, E.V. Exact Solutions of the Navier–Stokes Equations for Describing the Rotating Fluid. Russ. Aeronaut. 65, 431–437 (2022). https://doi.org/10.3103/S1068799822020246

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  • DOI: https://doi.org/10.3103/S1068799822020246

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