Extended self-similarity and dissipation range dynamics of three-dimensional turbulence

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 1, 1999, Pages 571-577

  Sain, Anirban ^a   Bhattacharjee, J K ^b  

^a SIMON FRASER UNIVERSITY   (Canada)

^b DEPARTMENT OF MATERIALS SCIENCE   (India)

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Indexed keywords

ARTICLE;

EID: 0002879241     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.571     Document Type: Article

References (20)

1. U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, England, 1995).
2. W. D. McComb, The Physics of Fluid Turbulence (Oxford University Press, Oxford, 1991).
3. C. Meneveau and K. R. Sreenivasan, J. Fluid Mech. 224, 429 (1991).
4. V. S. L’vov and I. Procaccia, Phys. Rev. E 49, 4044 (1994).
5. C. Y. Mon and P. B. Weichman, Phys. Rev. Lett. 70, 1101 (1993).
6. J. K. Bhattacharjee, Phys. Fluids A 3, 879 (1991).
7. V. Yakhot and S. A. Orszag, J. Sci. Comput. 1, 3 (1986).
8. Sujan K. Dhar, Anirban Sain, Ashwin Pande, and Rahul Pandit, Pramana, J. Phys. 48, 325 (1997), special issue on Nonlinearity and Chaos in Physical Sciences, edited by Ramakvishna Ramaswamy and K. R. Sreenivasan.
9. Sujan K. Dhar, Anirban Sain, and Rahul Pandit, Phys. Rev. Lett. 78, 2964 (1997).
10. Z. S. She and E. Leveque, Phys. Rev. Lett. 72, 336 (1994).
11. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, Phys. Rev. E 48, R29 (1993).
12. D. Segel, V. L’vov, and I. Procaccia, Phys. Rev. Lett. 76, 1828 (1996).
13. G. Falkovich, Phys. Fluids 6, 1411 (1994).This theory is applicable only for (Formula presented) whereas our analysis is valid only for (Formula presented) i.e., for the dissipation range. Also this analysis is based on the energy flow equation, whereas our field theory method uses the one-loop self-consistent equation for (Formula presented)
14. D. Lohse and A. Muller-Groeling, Phys. Rev. Lett. 74, 1747 (1995).
15. S. Chen, Phys. Rev. Lett. 70, 3051 (1993).
16. Z. S. She and E. Jackson, Phys. Fluids A 5, 1526 (1993).
17. D. Pisarenko, L. Bieferale, D. Courvoisier, U. Frisch, and M. Vergassola, Phys. Fluids A 5, 2533 (1993).
18. R. H. Kraichnan, J. Fluid Mech. 5, 497 (1959).
19. J. K. Bhattacharjee and R. A. Ferrel, J. Math. Phys. 21, 534 (1980).
20. L. Sirovich, L. Smith, and V. Yakhot, Phys. Rev. Lett. 72, 344 (1994).