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 longitudinalvelocity component. A physical interpretation of this mechanism is given.

About the authors

N. V. Nikitin

Research Institute of Mechanics, Lomonosov Moscow State University

Author for correspondence.
Email: aero.natap@mail.ru
Russian Federation, 1, Leninskie gory, Moscow, 119991

V. O. Pimanov

Research Institute of Mechanics, Lomonosov Moscow State University

Email: aero.natap@mail.ru
Russian Federation, 1, Leninskie gory, Moscow, 119991

N. V. Popelenskaya

Research Institute of Mechanics, Lomonosov Moscow State University

Email: aero.natap@mail.ru
Russian Federation, 1, Leninskie gory, Moscow, 119991

References

  1. Bradshaw P. // Annu. Rev. Fluid Mech. 1987. № 19. P. 53–74.
  2. Speziale C.G. // Int. J. Eng. Sci. 1982. V. 20. № 7. Р. 863–872.
  3. Nikitin N. // J. Comput. Phys. 2006. V. 217. P. 759–781.
  4. Gavrilakis S. // J. Fluid Mech. 1992. V. 244. P. 101–129.
  5. Шлихтинг Г. Теория пограничного слоя. М.: Наука, 1974. 711 с.
  6. Никитин Н.В. // ДАН. 1997. T. 353. № 3. С. 338–342.
  7. Воронова Т.В., Никитин Н.В. // Изв. РАН. МЖГ. 2007. № 2. С. 59–70.
  8. Никитин Н.В., Пиманов В.О. // Изв. РАН. МЖГ. 2015. № 5. С. 64–75.
  9. Никитин Н.В., Пиманов В.О. // Изв. РАН. МЖГ. 2018. № 1. С. 68–76.
  10. Kim J., Hussain F. // Phys. Fluids. 1993. A5. P. 695–706.
  11. Пиманов В.О. // Вестн. Моск. ун-та. Сер. 1. Математика. Механика. 2018. № 4. С. 47–53.

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