Effect of particle inertia on the viscous-convective subrange

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

Volumn 61, Issue 6, 2000, Pages 6578-6585

  Jeffery, Christopher A ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; DIFFUSION; INTEGRAL EQUATIONS; MOLECULAR DYNAMICS; PARTICLE SIZE ANALYSIS; REYNOLDS NUMBER; TURBULENCE; VORTEX FLOW; INCOMPRESSIBLE FLOW;

DIFFUSION EQUATION; ELPERIN-KLEEORIN-ROGACHEVSKII CORRELATION FUNCTION; KOLMOGOROV VELOCITY SPECTRUM; PARTICLE DENSITY SPECTRUM; PARTICLE INERTIA; PASSIVE SCALAR COVARIANCE; VISCOUS CONVECTIVE SUBRANGE;

PARTICLES (PARTICULATE MATTER);

HOMOGENEOUS TURBULENCE; INERTIAL PARTICLES; INTERMITTENCY; MEASUREMENTS OF; PARTICLE DENSITIES; PARTICLE INERTIA; PREFERENTIAL CONCENTRATION; SCALE CORRELATION;

EID: 0034205542     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.6578     Document Type: Article

References (39)

1. Y. B. Zeldovich, S. A. Molchanov, A. A. Ruzmaikin, and D. D. Sokoloff, Sov. Sci. Rev. C. Math. Phys. 7, 1 (1988).
2. M. Avellaneda and A. J. Majda, Philos. Trans. R. Soc. London, Ser. A 346, 205 (1994).
3. V. I. Klyatskin, Usp. Fiz. Nauk 164, 531 (1994) [Phys. Usp. 37, 501 (1994)].
4. K. Gawedzki and A. Kupiainen, in Low-Dimensional Models in Statistical Physics and Quantum Field Theory, edited by H. Gross and L. Pittner (Lecture Notes in Physics Vol. 469) (Springer-Verlag, Berlin, 1996), pp 71–105.
5. L. I. Piterbarg and A. G. Ostrovskii, Advection and Diffusion in Random Media. Implications for Sea Surface Temperature Anomalies (Kluwer Academic Publishers, Dordrecht, 1997).
6. T. Komorowski, Stoch. Process. Their Appl. 74, 165 (1998).
7. R. H. Kraichnan, Phys. Rev. Lett. 72, 1016 (1994).
8. R. H. Kraichnan, V. Yakhot, and S. Chen, Phys. Rev. Lett. 75, 240 (1995).
9. A. J. Majda and P. R. Kramer, Phys. Rep. 314, 238 (1999).
10. A. L. Fairhall, O. Gat, V. Lvov, and I. Procaccia, Phys. Rev. E 53, 3518 (1996).
11. M. Chertkov, G. Falkovich, and V. Lebedev, Phys. Rev. Lett. 76, 3707 (1996).
12. L. T. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Phys. Rev. E 58, 1823 (1998).
13. V. I. Belinicher, V. S. L’vov, A. Pomyalov, and I. Procaccia, J. Stat. Phys. 93, 797 (1998).
14. O. Gat, V. S. Lvov, and I. Procaccia, Phys. Rev. E 56, 406 (1997).
15. B. I. Shraiman and E. D. Siggia, Phys. Rev. E 57, 2965 (1998).
16. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. E 52, 2617 (1995).
17. L. T. Adzhemyan and N. V. Antonov, Phys. Rev. E 58, 7381 (1998).
18. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. Lett. 77, 5373 (1996).
19. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. E 58, 3113 (1998).
20. J. K. Eaton and J. R. Fessler, Int. J. Multiphase Flow Suppl. 20, 169 (1994).
21. L.-P. Wang and M. R. Maxey, J. Fluid Mech. 256, 27 (1993).
22. L. F. Richardson, Proc. R. Soc. London, Ser. A 110, 709 (1926).
23. Y. B. Zel’dovich, Zh. Eksp. Teor. Fiz. 7, 1466 (1937).
24. P. H. Roberts, J. Fluid Mech. 11, 257 (1961).
25. R. Kubo, J. Math. Phys. 4, 174 (1963).
26. R. H. Kraichnan, Phys. Fluids 11, 945 (1968).
27. R. A. Carmona and J. P. Fouque, Seminar on Stochastic Analysis, Random Fields and Applications, Vol. 36 of Progress in Probability (Birkhäuser Verlag, Basel, 1995), pp. 37–49.
28. L. Piterbarg, Stochastic Models in Geosystems MA Volumes in Mathematics and its Applications Vol. 85 (Springer-Verlag, Berlin, 1997), pp. 313–352.
29. G. K. Batchelor, J. Fluid Mech. 5, 113 (1959).
30. D. Bogucki, J. A. Domaradzki, and P. K. Yeung, J. Fluid Mech. 343, 111 (1997).
31. J. R. Chasnov, Phys. Fluids 10, 1191 (1998).
32. T. Elperin, N. Kleeorin, and I. Rogachevskii, Phys. Rev. Lett. 76, 224 (1996).
33. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence (MIT Press, Cambridge, MA, 1975), Vol. 2.
34. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1970).
35. R. C. Mjolsness, Phys. Fluids 18, 1393 (1975).
36. M. B. Pinsky, A. P. Khain, and Z. Levin, Q. J. R. Meteorol. Soc. 125, 553 (1999).
37. L. Sirovich, L. Smith, and V. Yakhot, Phys. Rev. Lett. 72, 344 (1994)
38. Phys. Rev. Lett.L. SirovichL. SmithV. Yakhotsee also 74, 1492(E) (1995).
39. X. D. Cai, E. E. O’Brien, and F. Ladeinde, Phys. Fluids 10, 2249 (1998).