- PII
- 10.31857/S0044451023050115-1
- DOI
- 10.31857/S0044451023050115
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 163 / Issue number 5
- Pages
- 724-733
- Abstract
- We study statistical properties of the passive scalar advection in a 2D flow that consist of a steady-state shear flow and a relatively weak smooth random component taking into account the effects of finite weak diffusion. The model is closely related to the dynamics of passive scalar transfer inside coherent vortices emerging as a result of an inverse cascade in 2D turbulence. We analyze both the decay of the passive scalar and the problem with continuous supply of the scalar to the system. In both cases, the passive scalar distribution exhibits strong intermittence, which can be indicated with single-point moments calculated in this study.
- Keywords
- Date of publication
- 15.05.2023
- Year of publication
- 2023
- Number of purchasers
- 0
- Views
- 38
References
- 1. G. Falkovich, K. Gawedzki, and M. Vergassola, Rev. Mod. Phys. 73, 913 (2001).
- 2. H. Xia, M. Shats, and G. Falkovich, Phys. Fluids 21, 125101 (2009).
- 3. J. Laurie, G. Bo etta, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. Lett. 113, 254503 (2014).
- 4. I. Kolokolov and V. Lebedev, Phys. Rev. E 93, 033104 (2016).
- 5. I. Kolokolov and V. Lebedev, J. Fluid Mech. 809, R2 (2016).
- 6. A. Frishman and C. Herbert, Phys. Rev. Lett. 120, 204505 (2018).
- 7. A. N. Doludenko, S. V. Fortova, I. V. Kolokolov, and V. V. Lebedev, Phys. Fluids 33, 011704 (2021).
- 8. A. Groisman and V. Steinberg, Nature 405, 53 (2000).
- 9. A. Groisman and V. Steinberg, Nature 410, 905 (2001).
- 10. V. Steinberg, Ann. Rev. Fluid Mech. 53, 27 (2021).
- 11. G. Falkovich and N. Vladimirova, Phys. Rev. Lett. 121, 164501 (2018).
- 12. H. Feng, M. G. Olsen, Y. Liu, R. O. Fox, and J. C. Hill, AIChE J. 51, 2649 (2005).
- 13. T. Burghelea, E. Segre, I. Bar-Joseph, A. Groisman, and V. Steinberg, Phys. Rev. E 69, 066305 (2004).
- 14. Y. Amarouchene and H. Kellay, Phys. Rev. Lett. 93, 214504 (2004).
- 15. Y. Jun and V. Steinberg, Phys. Fluids 22, 123101 (2010).
- 16. А. М. Обухов, Изв. АН СССР, сер. геогр. и геофиз. 13(1), 58 (1949).
- 17. S. Corrsin, J. App. Phys. 22, 469 (1951).
- 18. G. K. Batchelor, J. Fluid Mech. 5, 113 (1959).
- 19. K. R. Sreenivasan, Proc. Nat. Acad. Sci. 116, 18175 (2019).
- 20. D. A. Donzis, K. Sreenivasan, and P. Yeung, Flow. Turb.Comb. 85, 549 (2010).
- 21. D. Son, Phys. Rev. E 59, R3811 (1999).
- 22. E. Balkovsky and A. Fouxon, Phys. Rev. E 60, 4164 (1999)
- 23. S. Vergeles, J. Exp. Theor. Phys. 102, 685 (2006).
- 24. B. I. Shraiman and E.D. Siggia, Phys. Rev. E 49, 2912 (1994).
- 25. M. Souzy, I. Zaier, H. Lhuissier, T. Le Borgne, and B. Metzger, J. Fluid Mech. 838, R3 (2018).
- 26. A. Celani, M. Cencini, M. Vergassola, E. Villermaux, and D. Vincenzi, J. Fluid Mech. 523, 99 (2005).
- 27. K. Turitsyn, J. Exp. Theor. Phys. 105, 655 (2007).
- 28. D. E. Smith, H.P. Babcock, and S. Chu, Science 283, 1724 (1999).
- 29. Y. Liu and V. Steinberg, Europhys. Lett. 90, 44005 (2010).
- 30. M. Sˇiler, L. Ornigotti, O. Brzobohaty', P. J'akl, A. Ryabov, V. Holubec, P. Zem'anek, and R. Filip, Phys. Rev. Lett. 121, 230601 (2018).
- 31. M. Chertkov, I. Kolokolov, V. Lebedev, and K. Turitsyn, J. Fluid Mech. 531, 251 (2005).
- 32. A. Pulia to and K. Turitsyn, Phys. D: Nonlin. Phenomena 211, 9 (2005).
- 33. R. S. Ellis, Entropy, Large Deviations, and Statistical Mechanics, Springer-Verlag (1985).
- 34. V. Klyatskin, W. Woyczynski, and D. Gurarie, in Stochastic Modelling in Physical Oceanography, Springer (1996), pp. 221-269.
- 35. I. Kolokolov and N. T. Trung, Phys. Lett. A 376, 1836 (2012).
- 36. A. J. Majda, Phys. Fluids A: Fluid Dyn. 5, 1963 (1993).
- 37. M. Avellaneda and A. J. Majda, J. Stat. Phys. 69, 689 (1992).
