Equations of Multimoment Hydrodynamics in the Problem of Flowing Around a Sphere. 2. The Basic Asymmetric Solution

Мұқаба

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат Ашық рұқсат
Рұқсат жабық Рұқсат берілді
Рұқсат жабық Тек жазылушылар үшін

Аннотация

The equations of multimoment hydrodynamics are used to interpret flows behind the sphere that do not have axial symmetry. In accordance with the general approach to solving the equations of multimoment hydrodynamics, a set of nonlinear first-order differential equations for unknown coefficients is derived. Numerical integration of the derived equations shows that a high value of the turbulence coefficient provides a transition from the basic axisymmetric solution to the basic weakly asymmetric solution. It was found that the asymmetric solution is not stable. The instability of the asymmetric solution creates prospects for interpreting the observed evolution of weakly asymmetric flow. It becomes possible to reproduce the vortex shedding observed at moderately high values of the Reynolds number. There are prospects for interpreting the turbulence that develops with a further increase in the Reynolds number.

Негізгі сөздер

Авторлар туралы

I. Lebed

Institute of Applied Mechanics of the Russian Academy of Sciences

Хат алмасуға жауапты Автор.
Email: lebed-ivl@yandex.ru
Ресей, Moscow

Әдебиет тізімі

  1. Lebed I. V. // Khim. Fizika. 2025. V. 44.
  2. Lebed I. V. // Chem. Phys. Rep. 1997. V. 16. P. 1263.
  3. Tikhonov A. N., Samarskii A. A. Equations of Mathematical Physics. M.: Gostekhizdat, 1953.
  4. Lebed I.V. The foundations of multimoment hydrodynamics, Part 1: ideas, methods and equations. N.Y.: Nova Science Publishers, 2018.
  5. Glansdorff P., Prigogine I. Thermodynamic theory of structure, stability, and fluctuations. N.Y.: Willey, 1971.
  6. Taneda S. // J. Phys. Soc. Jpn. 1956. V. 11. № 10. P. 1104. http:// doi.org/10.1143/JPSJ.11.1104
  7. Chomaz J. M., Bonneton P., Hopfinger E. J. // J. Fluid Mech. 1993. V. 234. P. 1. http:// doi.org/10.1017/S0022112093002009
  8. Magarvey R. H., Bishop R. L. // Can. J. Phys. 1961. V. 39. № 7. P. 1418.
  9. Magarvey R. H., MacLatchy C. S. // Ibid. 1965. V. 43. № 9. P. 1649.
  10. Winnikow S., Chao B. T. // Phys. Fluids 1966. V. 9. № 1. P. 50.
  11. Sakamoto H., Haniu H. // J. Fluid Mech. 1995. V. 287. P. 151. http:// doi.org/10.1017/S0022112095000905
  12. Schuster H.G. Deterministic Chaos. Weinheim: Physik Verlag, 1984.
  13. Natarajan R., Acrivos A. // J. Fluid Mech. 1993. V. 254. P. 323. http:// doi.org/10.1017/S0022112093002150
  14. Tomboulides A. G., Orszag S. A. // Ibid. 2000. V. 416. P. 45. http:// doi.org/10.1017/S0022112000008880
  15. Lebed I. V. // Russ. J. Phys. Chem. B. 2014. V. 8. P. 240. http:// doi.org/10.1134/S1990793114020171
  16. Kiselev A.Ph., Lebed I.V. // Chaos, Solitons, Fractals, 2021. V. 142. №110491. http:// doi.org/10.1134/S1990793121030222
  17. Lebed I. V. // Russ. J. Phys. Chem. B. 2022. V. 16. P. 370. http:// doi.org/10.1134/S199079312202018X
  18. Lebed I. V. // Russ. J. Phys. Chem. B 2023. V. 17. P. 1194. http:// doi.org/10.1134/S1990793123050056
  19. Lebed I. V. // Russ. J. Phys. Chem. B 2024. V. 18. P. 1396. http:// doi.org/10.1134/S1990793124700957
  20. Lebed I. V. // Russ. J. Phys. Chem. B 2024. V. 18. P. 1405. http:// doi.org/10.1134/S1990793124700969

Қосымша файлдар

Қосымша файлдар
Әрекет
1. JATS XML

© Russian Academy of Sciences, 2025