Equations of multimoment hydrodynamics in problem on flow around a sphere. 1. Construction of asymmetric distributions of hydrodynamic values

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. The equations of multimoment hydrodynamics follow from the equations for pair distribution functions. The derivation of the equations is free from approximations similar to the Boltzmann hypothesis. In accordance with the general approach, the pair function is represented as an infinite series of products of trajectory invariants with unknown coefficients. A finite number of terms are preserved in this series, which make it possible to construct asymmetric distributions of hydrodynamic values. Analytical expressions for the principal hydrodynamic values are presented. Solutions of nonlinear differential equations for unknown coefficients will make it possible to trace the evolution of the observed asymmetric flows, culminating in pronounced turbulence.

Авторлар туралы

I. Lebed

Institute of Applied Mechanics, Russian Academy of Science

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

Әдебиет тізімі

  1. L.G. Loitsyanskii. Mechanics of Liquids and Gases. Oxford: Pergamon, 1966.
  2. Mikhalkin V.N., Sumskoi S.I., Tereza A.M. et al. // Russ. J. Phys. Chem. B 2022. V. 16. P. 629.
  3. Lebed I.V., Umanskii S.Y. // Russ. J. Phys. Chem. B. 2007. V. 1. P. 52. https://doi.org/10.1134/S1990793107010071
  4. I.V. Lebed. The Foundations of Multimoment Hydrodynamics. Part 1: Ideas, Methods and Equations. N-Y: Nova Science Publishers, 2018.
  5. Lebed I.V. // Chem. Phys. Lett. 1990. V. 165. № 1-2. P. 226, https://doi.org/10.1016/0009-2614(90)85433-D
  6. Lebed I.V. // Physica A. 2019. V. 515. P. 715. https://doi.org/10.1016/j.physa.2018.09.166
  7. Lebed I.V. // Physica A. 2019. V. 524. P. 325. https://doi.org/10.1016/j.physa.2019.04.086
  8. Lebed I.V. // Chem. Phys. Rep. 1997. V. 16. P. 1263.
  9. Lebed I.V. // Russ. J. Phys. Chem. B. 2014. V. 8. P. 240. https://doi.org/10.1134/S1990793114020171
  10. Kiselev A.Ph., Lebed I.V. // Chaos, Solitons, Fractals. 2021. V. 142. №110491, http:// doi.org/10.1016/j.chaos.2020.110491
  11. Lebed I.V. // Russ. J. Phys. Chem. B. 2022. V. 16. P. 370. http:// doi.org/10.1134/S199079312202018X
  12. Lebed I.V. // Russ. J. Phys. Chem. B. 2023. V. 17. P. 1194. https://doi.org/10.1134/S1990793123050056
  13. Lebed I.V. // Russ. J. Phys. Chem. B. 2023. V. 17. P. 1414. https://doi.org/10.1134/S1990793123060179
  14. Lebed I.V. // Russ. J. Phys. Chem. B. 2024. V. 18. P. 1296. https://doi.org/10.1134/S1990793124700957
  15. Lebed I.V. // Russ. J. Phys. Chem. B. 2024. V. 18. P. 1405. https://doi.org/10.1134/S1990793124700969

Қосымша файлдар

Қосымша файлдар
Әрекет
1. JATS XML
Жүктеу

© Russian Academy of Sciences, 2025

Согласие на обработку персональных данных

 

Используя сайт https://journals.rcsi.science, я (далее – «Пользователь» или «Субъект персональных данных») даю согласие на обработку персональных данных на этом сайте (текст Согласия) и на обработку персональных данных с помощью сервиса «Яндекс.Метрика» (текст Согласия).