Probability density functions, skewness, and flatness in large Reynolds number turbulence

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

Volumn 53, Issue 2, 1996, Pages 1613-1621

  Tabeling, P ^a   Zocchi, G ^a   Belin, F ^a   Maurer, J ^a   Willaime, H ^a  

^a CNRS   (France)

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Indexed keywords

EID: 0000215321     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1613     Document Type: Article

References (32)

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2. also see a recent review by M. Nelkin, Adv. Phys. 43, 143 (1994).
3. Note that early measurements of the skewness have been performed by R. W. Stewart, Proc. Cambridge Philos. Soc. 47, 146 (1951).
4. Concerning the PDF, a recent reference is B. Castaing, Y. Gagne and E. Hopfinger, Physica D 46, 177 (1990).
5. P. Kalilasnath, K. R. Sreenivasan, and G. Stolovitzky, Phys. Rev. Lett. 68, 18, 2766 (1992).
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7. Note that this compilation did not include the aircraft experiments performed by C. M. Sheih, H. Tennekes and J. L. Lumley, Phys. Fluids 14, 201 (1971), which gives, at large Reynolds numbers, substantially lower values for the flatness and skewness factors.
8. Several modes of intermittency, and their relation to numerics and experiment, have been discussed recently in L. Biferale, Phys. Fluids A 5, 2 (1993).
9. J. Jimenez, A. A. Wray, P. G. Saffman and R. S. Rogallo, J. Fluid Mech. 255, 65 (1993).
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14. G. Zocchi, J. Maurer, P. Tabeling and H. Willaime, Phys. Rev. E 50, 3693 (1994).
15. We take the same notations as in G. Comte Bellot, Ann. Rev. Fluid Mech. 8, 209 (1976).
16. Also see J. Hinze, Turbulence (McGraw Hill, New York, 1987), Chap. 2.
17. C. Lomas, Fundamentals of Hot Wire Anemometry (Cambridge University Press, Cambridge, 1986).
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20. This expression can be found in F. H. Champagne, J. Fluid Mech. 86, 67 (1978).
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23. J. Jimenez (private communication).
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28. See also S. Grossman and D. Lohse, Phys. Lett. A 173, 58 (1993), who point out that temperature measurements may be affected by probe size effects at such large Rayleigh numbers.
29. A transition has been recently observed by B. Chabaud, A. Naert, J. Peinke, F. Chilla, B. Castaing and B. Hebral, Phys. Rev. Lett. 73, 3227 (1994).
30. The corresponding transition value of Rlambda is much lower than ours (it is 180 in their case). It would be interesting to compare the two transitions.
31. Since the transition is not sharp, it is not so clear that it exists. One could say that the essential information which can be extracted from Fig. 13 is that the flatness factor ceases to increase in some range of Reynolds numbers.
32. Bursting of vortex filaments has been observed in this system [7]. Actually, as already mentioned in Sec. I, such filaments presumably do not correspond to the worms of Ref. [6] but to objects of larger size.