Multiresolution robustness of the probability density of scalar fields and multiscale aspects of scalar interfaces in fully-developed turbulent jets

Journal of Turbulence

Volumn 8, Issue , 2007, Pages 1-21

  Piatrovich, Siarhei ^a   Catrakis, Haris J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Coarse graining; Fluid interfaces; Fractals; Self similarity; Turbulence

Indexed keywords

FRACTALS; INTERPOLATION; JETS; PROBABILITY DENSITY FUNCTION; TURBULENCE;

DATABASE; EXPERIMENTAL STUDY; FRACTAL ANALYSIS; INTERPOLATION; JET FLOW; PROBABILITY DENSITY FUNCTION; SPECTRAL RESOLUTION; TURBULENT FLOW; TWO-DIMENSIONAL MODELING;

EID: 36749089829     PISSN: None     EISSN: 14685248     Source Type: Journal    
DOI: 10.1080/14685240701364858     Document Type: Article

References (39)

1. Pope, S. B. (2000) Turbulent Flows, Cambridge University Press, Cambridge
2. Pope, S. B. (1981) Transport equation for the joint probability density function of velocity and scalars in turbulent flow. Physics of Fluids, 24, pp. 588-596.
3. Pope, S. B. (1983) A Lagrangian two-time probability density function equation for inhomogeneous turbulent flows. Physics of Fluids, 26, pp. 3448-3450.
4. Pope, S. B. (1983) Consistent modeling of scalars in turbulent flows. Physics of Fluids, 26, pp. 404-408.
5. Pope, S. B. (1985) Pdf methods for turbulent reactive flows. Progress in Energy and Combustion Science, 11, pp. 119-192.
6. Kuznetsov, V. R. and Sabel'nikov, V. A. (1990) Turbulence and Combustion, Hemisphere, New York
7. Roekaerts, D. (1991) Use of a monte carlo pdf method in a study of the influence of turbulent fluctuations on selectivity in a jet-stirred reactor. Applied Scientific Research, 48, pp. 271-300.
8. Jones, W. P. and Kakhi, M. (1997) Application of the transported pdf approach to hydrocarbon turbulent jet diffusion flames. Combustion Science and Technology, 129, pp. 393-430.
9. Richardson, L. F. (1922) Weather Prediction by Numerical Process, Cambridge University Press, Cambridge
10. Corrsin, S. and Kistler, A. L. (1955) Free-stream boundaries of turbulent flows, NACA, Washington, DC
11. Corrsin, S. and Karweit, M. (1969) Fluid line growth in grid-generated isotropic turbulence. Journal of Fluid Mechanics, 39:1, pp. 87-96.
12. Kuo, A. Y.-S. and Corrsin, S. (1972) Experiment on the geometry of the fine-structure regions in fully turbulent fluid. Journal of Fluid Mechanics, 56, pp. 447-479.
13. Mandelbrot, B. B. (1983) The fractal geometry of Nature, Freeman, New York
14. Sreenivasan, K. R. and Meneveau, C. (1986) The fractal facets of turbulence. Journal of Fluid Mechanics, 173, pp. 357-386.
15. Dimotakis, P. E., Miake-Lye, R. C. and Papantoniou, D. A. (1983) Structure and dynamics of round turbulent jets. Physics of Fluids, 26, pp. 3185-3192.
16. Pope, S. B. (1988) Evolution of surfaces in turbulence. International Journal of Engineering Science, 26, pp. 445-469.
17. Prasad, R. R. and Sreenivasan, K. R. (1989) Scalar interfaces in digital images of turbulent flows. Experiments in Fluids, 7, pp. 259-264.
18. Prasad, R. R. and Sreenivasan, K. R. (1990) Quantitative three-dimensional imaging and the structure of passive scalar fields in fully turbulent flows. Journal of Fluid Mechanics, 216, pp. 1-34.
19. Prasad, R. R. and Sreenivasan, K. R. (1990) The measurement and interpretation of fractal dimensions of the scalar interface in turbulent flows. Physics of Fluids, 2, pp. 792-807.
20. Sreenivasan, K. R. (1991) Fractals and multifractals in fluid turbulence. Annual Review of Fluid Mechanics, 23, pp. 539-600.
21. Frederiksen, R. D., Dahm, W. J. A. and Dowling, D. R. (1996) Experimental assessment of fractal scale similarity in turbulent flows. Part 1: One-dimensional intersections. Journal of Fluid Mechanics, 327, pp. 35-72.
22. Villermaux, E. and Innocenti, C. (1999) On the geometry of turbulent mixing. Journal of Fluid Mechanics, 393, pp. 123-147.
23. Dalziel, S. B., Linden, P. F. and Youngs, D. L. (1999) Self-similarity and internal structure of turbulence induced by Rayleigh-Taylor instability. Journal of Fluid Mechanics, 399, pp. 1-48.
24. Dimotakis, P. E., Catrakis, H. J. and Fourguette, D. C. L. (2001) Flow structure and optical beam propagation in high-Reynolds-number gas-phase shear layers and jets. Journal of Fluid Mechanics, 433, pp. 105-134.
25. Catrakis, H. J. (2004) Turbulence and the dynamics of fluid interfaces with applications to mixing and aero-optics. Recent Research Developments in Fluid Dynamics, pp. 115-158. Transworld Research Network Publishers, India
26. Villermaux, E. and Gagne, Y. (1994) Line dispersion in homogeneous turbulence: Stretching, fractal dimensions, and micromixing. Physical Review Letters, 73, pp. 252-255.
27. Catrakis, H. J. and Aguirre, R. C. (2004) New interfacial fluid thickness approach in aero-optics with applications to compressible turbulence. AIAA Journal, 42:10, pp. 1973-1981.
28. Aguirre, R. C. and Catrakis, H. J. (2004) Aero-optical wavefronts and scale-local characterization in large-Reynolds-number compressible turbulence. AIAA Journal, 42:10, pp. 1982-1990.
29. Aguirre, R. C., Nathman, J. C. and Catrakis, H. J. Aerooptical interactions in turbulent compressible separated shear layers and the interfacial-fluid-thickness approach. AIAA 42nd Aerospace Sciences Meeting and Exhibit, AIAA 2004-0473 Reno, Nevada
30. Catrakis, H. J., Aguirre, R. C., Nathman, J. C. and Garcia, P. J. (2006) Large scale refractive turbulent interfaces and aero-optical interactions in high Reynolds number compressible separated shear layers. Journal of Turbulence, 7:54, pp. 1-21.
31. Bilger, R. W. (2004) Some aspects of scalar dissipation. Flow, Turbulence, and Combustion, 72, pp. 93-114.
32. Aguirre, R. C. and Catrakis, H. J. (2005) On intermittency and the physical thickness of turbulent fluid interfaces. Journal of Fluid Mechanics, 540, pp. 39-48.
33. Catrakis, H. J., Aguirre, R. C. and Ruiz-Plancarte, J. (2002) Area-volume properties of fluid interfaces in turbulence: Scale-local self-similarity and cumulative scale dependence. Journal of Fluid Mechanics, 462, pp. 245-254.
34. Catrakis, H. J., Aguirre, R. C., Ruiz-Plancarte, J., Thayne, R. D., McDonald, B. A. and Hearn, J. W. (2002) Large-scale dynamics in turbulent mixing and the three-dimensional spacetime behaviour of outer fluid interfaces. Journal of Fluid Mechanics, 471, pp. 381-408.
35. Aguirre, R. C. and Catrakis, H. J. (2004) Scalar-threshold dependence and internal dynamics in turbulent jets. Physics of Fluids, 17, p. 38103.
36. Batchelor, G. K. (1959) Small-scale variation of convected quantities like temperature in turbulent fluid. part 1: General discussion and the case of small conductivity. Journal of Fluid Mechanics, 5, pp. 113-133.
37. Friehe, C. A., Van Atta, C. W. and Gibson, C. H. (1971) Jet turbulence: Dissipation rate measurements and correlations, pp. 88-103. Technical Editing and Reproduction Ltd., London
38. Catrakis, H. J. (2000) Distribution of scales in turbulence. Physical Review E, 62, pp. 564-578.
39. Villermaux, E. and Duplait, J. (2006) Coarse grained scale of turbulent mixtures. Physical Review Letters, 97, p. 144506.