Research PapersNo Access

Quantitative analysis of production of turbulent kinetic energy by using catastrophe method for the whole process of turbulence formation

School of Mechanical Engineering and State Key Laboratory for Strength and Vibration of Mechanical Structure, Xi’an Jiaotong University, Xi’an, Shanxi 710049, China

Search for more papers by this author

Jiu Hui Wu

https://orcid.org/0000-0003-2387-618X

School of Mechanical Engineering and State Key Laboratory for Strength and Vibration of Mechanical Structure, Xi’an Jiaotong University, Xi’an, Shanxi 710049, China

Search for more papers by this author

, and

Xiao Liang

School of Mechanical Engineering, Xiangtan University, Xiangtan, Hunan 411105, China

E-mail Address: liangxiao@xtu.edu.cn

Corresponding author.

Search for more papers by this author

https://doi.org/10.1142/S0217984921504029Cited by:1 (Source: Crossref)

Abstract

The whole process of turbulence formation was quantitatively studied by the catastrophe method. The change law of the production of turbulent kinetic energy and its spectral distribution with the transformation of wave number and time factor are mainly studied. In addition, the distribution and production of turbulent kinetic energy in Karman vortex street model are studied by numerical simulation. The results show that the production of turbulent kinetic energy first increases and then decreases with the time factor, and the spectrum at different wave numbers follows this trend. When the time factor $g (t) = - 1.8$ $g (t) = - 1.8$ , the maximum value appears. In the Karman vortex street model, the simulation results are consistent with our derived values.

Keywords:

References

1. V. S. L’vov, Nature 396(6711) (1998) 519. Crossref, Web of Science, ADS, Google Scholar
2. C. Renner, J. Peinke, R. Friedrich, O. Chanal and B. Chabaud, Phys. Rev. Lett. 89(12) (2002) 124502. Crossref, Web of Science, ADS, Google Scholar
3. C. H. Chou, Y. T. Lin, S. Shinde, C. E. Huang and W. T. Hsiao, Mod. Phys. Lett. B 34(7–9) (2020) 2040021. Link, Web of Science, ADS, Google Scholar
4. K. Q. Hu, Y. F. Xia, Y. Zheng and G. F. Wang, Int. J. Mod. Phys. B (2020) 2040082. Link, Web of Science, Google Scholar
5. R. Li, W. Liang, W. Han, H. Quan and G. Peng, Mod. Phys. Lett. B 34(23) (2020) 2050145. Link, Web of Science, ADS, Google Scholar
6. J. P. Mammadova, A. P. Abdullaev, R. M. Rzayev, R. F. Kelbaliev and I. V. Musazade, Int. J. Mod. Phys. B 34(18) (2020) 2050182. Link, Web of Science, ADS, Google Scholar
7. M. Gallegos-Garcia, B. Burkhart, A. L. Rosen, J. P. Naiman and E. Ramirez-Ruiz, Astrophys. J. Lett. 899(2) (2020) L30. Crossref, Web of Science, ADS, Google Scholar
8. D. G. Ortiz-Suslow and Q. Wang, Geophys. Res. Lett. 46(24) 14901. Crossref, Web of Science, ADS, Google Scholar
9. Y. Akira, J. Phys. Soc. Jpn. 45(3) (1978) 1019. Crossref, Google Scholar
10. J. I. Cardesa, A. Vela-Martin and J. Jimenez, Science 357(6353) (2017) 782. Crossref, Web of Science, Google Scholar
11. Z. Zhou, L. Zhang, J. H. Wu, X. Liang, H. L. Xu, M. Lin and X. Y. Yuan, Eng. Appl. Comput. Fluid Mech. 14(1) (2020) 351. Google Scholar
12. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30 (1941) 299. ADS, Google Scholar
13. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 32 (1941) 16. ADS, Google Scholar
14. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 31 (1941) 538. Google Scholar
15. U. Frisch, Turbulence, the Legacy of A. N. Kolmogorov (Cambridge University Press, 1995). Crossref, Google Scholar
16. N. Gao, J. Wu, K. Lu and H. Zhong, Mech. Syst. Signal Process. 154 (2020) 107504. Crossref, Web of Science, Google Scholar
17. A. Seadawy, A. Ali and A. Jhangeer, Mod. Phys. Lett. B 34(26) (2020) 2050278. Link, Web of Science, ADS, Google Scholar
18. N. Gao and K. Lu, Appl. Acoust. 169 (2020) 107500. Crossref, Web of Science, Google Scholar
19. L. Campanelli, Mod. Phys. Lett. B 33(18) (2019) 1950218. Link, Web of Science, ADS, Google Scholar
20. J. M. T. Thompson, Nature 254(5499) (1975) 392. Crossref, Web of Science, ADS, Google Scholar
21. H. Chilver, Nature 49(2) (1975) 373. Google Scholar
22. J. Guckenheimer, Nature 270(5636) (1977) 383. Crossref, Web of Science, ADS, Google Scholar
23. B. Goodwin, Nature 309(5963) (1984) 93. Crossref, ADS, Google Scholar
24. L. Zhou, Z. Zhao and F. Chen, Mod. Phys. Lett. B 34(29) (2020) 2050327. Link, Web of Science, ADS, Google Scholar
25. R. H. Asl, F. Salmasi and H. Arvanaghi, Eng. Appl. Comput. Fluid Mech. 14(1) (2020) 236. Google Scholar
26. I. Mochalin, J. C. Cai, O. Berezhnyi and V. Brazhenko, Eng. Appl. Comput. Fluid Mech. 14(1) (2020) 1472. Google Scholar
27. B. Su, Z. L. Zhu, H. B. Ke, Q. W. Wang and M. Lin, Appl. Therm. Eng. 181 (2020) 115924. Crossref, Web of Science, Google Scholar
28. X. Wang, J. He, B. Su, H. Ke and Y. Chen, J. Turbul. 20(6) (2019) 1. Crossref, Web of Science, Google Scholar
29. C. Aricò, M. Sinagra, C. Picone and T. Tucciarelli, Eng. Appl. Comput. Fluid Mech. 15(1) (2020) 53. Google Scholar