Coupling between anomalous velocity and passive scalar increments in turbulence

Physics of Fluids

Volumn 10, Issue 9, 1998, Pages 2122-2124

  Boratav, Oluş N ^a,c   Pelz, Richard B ^b  

^a University of California at Irvine   (United States)

^b RUTGERS UNIVERSITY   (United States)

^c Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000081238     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869732     Document Type: Article

References (19)

1. A. N. Kolmogorov, "Dissipation of energy under locally isotropic turbulence," Dokl. Akad. Nauk SSSR 32, 16 (1941).
2. A recent discussion clarifies the applicability of the derivation of the equations for local vs global isotropy and related issues. See R. J. Hill, "Applicability of Kolmogorov's and Monin's equations of turbulence," J. Fluid Mech. 353, 67 (1997).
3. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
4. A. M. Yaglom, "Local structure of the temperature field in a turbulent flow," Dokl. Akad. Nauk SSSR 69, 743 (1949).
5. F. Anselmet, Y. Gagne, E. J. Hopfinger, and A. Antonia, "High-order velocity structure functions in turbulent shear flows," J. Fluid Mech. 140, 63 (1984).
6. A. Vincent and M. Meneguzzi, "The spatial structure and statistical properties of homogeneous turbulence," J. Fluid Mech. 225, 1 (1991).
7. O. N. Boratav and R. B. Pelz, "Structures and structure functions in the inertial range of turbulence," Phys. Fluids 9, 1400 (1997).
8. L. Mydlarski and Z. Warhaft, "Passive scalar statistics in high-Peclet number grid turbulence," J. Fluid Mech. 358, 135 (1998): R. M. Kerr, "Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence," J. Fluid Mech. 153, 31 (1985).
9. L. Mydlarski and Z. Warhaft, "Passive scalar statistics in high-Peclet number grid turbulence," J. Fluid Mech. 358, 135 (1998): R. M. Kerr, "Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence," J. Fluid Mech. 153, 31 (1985).
10. A. M. Obukhov, "Structure of the temperature field in a turbulent flow," Dokl. Akad. Nauk SSSR 69, 743 (1949).
11. a〉 for a range of a. One drawback of using such moments is that the generalization is not based on an exact result such as the 4/3rds law and the definition of what anomalous means becomes ambiguous. Investigation of such different moments is beyond the scope of the current manuscript.
12. G. R. Chavarria, C. Baudet, and S. Ciliberto, "Extended self-similarity of passive scalars in fully developed turbulence," Europhys. Lett. 32, 319 (1995).
13. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun, National Bureau of Standards Applied Mathematics series: 55, 10th printing, Washington, D.C. (1972). We use the notation Δu when the separation vector r between the two points is taken along the u direction, and Δu when it is perpendicular.
14. s expression given in Reference 13, page 895, Section 4.
15. R. H. Kraichnan, "Small-scale structure of a scalar field convected by turbulence," Phys. Fluids 11, 945 (1968).
16. R. Benzi, S. Ciliberto, C. Baudet, G. R. Chavarria, and R. Tripiccione, "Extended self-similarity in the dissipation range of fully developed turbulence," Europhys. Lett. 24, 275 (1993).
17. A. Pumir, "A numerical study of mixing of a passive scalar in three dimensions in the presence of a mean gradient," Phys. Fluids 6, 2118 (1994).
18. A. N. Kolmogorov, "A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number," J. Fluid Mech. 13, 82 (1962).
19. M. Nelkin (private communication).