Mixing in turbulent jets: Scalar measures and isosurface geometry

Journal of Fluid Mechanics

Volumn 317, Issue , 1996, Pages 369-406

  Catrakis, Haris J ^a   Dimotakis, Paul E ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

JET; JET FLOW; MIXING; TURBULENT; TURBULENT FLOW;

CALCULATIONS; JETS; MATHEMATICAL TECHNIQUES; MIXING; REYNOLDS NUMBER; TURBULENT FLOW;

ISOSURFACE GEOMETRY; SCALAR MEASURES;

TURBULENCE;

EID: 0030153049     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209600078X     Document Type: Article

References (52)

1. ASHURST, W. T. 1995 A simple illustration of turbulent flame ball growth. Combust. Sci. Technol. 104, 19-32.
2. BILGER, R. W. 1980 Turbulent flows with nonpremixed reactants. In Turbulent Reacting Flows (ed. P. A. Libby & F. A. Williams), pp. 65-113. Springer.
3. BORGAS, M. S. 1993 The multifractal lagrangian nature of turbulence. Phil. Trans. R. Soc. Lond. A 342, 379-411.
4. BRANDT, P. N., GREIMEL, R., GUENTHER, E. & MATTIG, W. 1991 Turbulence, fractals, and the solar granulation. In Applying Fractals in Astronomy (ed. A. Heck & J. M. Perdang), pp. 77-96. Springer.
5. CASTAGNOLI, C. & PROVENZALE, A. 1991 From small-scale fractality to largescale homogeneity: a family of cascading models for the distribution of galaxies. Astro. Astrophys. 246, 634-643.
6. CHILÉS, J. P. 1988 Fractal and geostatistical methods for modelling of a fracture network. Math. Geol. 20, 631-654.
7. CONSTANTIN, P. 1990 Navier-Stokes equations and area of interfaces. Commun. Math. Phys. 129, 241-266.
8. CONSTANTIN, P. 1991 Remarks on the Navier-Stokes equations. In New Perspectives in Turbulence (ed. L. Sirovich), pp. 229-261. Springer.
9. CONSTANTIN, P. 1994a Geometric statistics in turbulence. SIAM Rev. 36, 73-98.
10. CONSTANTIN, P. 1994b Geometric and analytic studies in turbulence. In Trends and Perspectives in Applied Mathematics (ed. L. Sirovich), pp. 21-54. Springer.
11. CONSTANTIN, P. & PROCACCIA, I. 1994 The geometry of turbulent advection: sharp estimates for the dimensions of level sets. Nonlinearity 7, 1045-1054.
12. CONSTANTIN, P., PROCACCIA, I. & SREENIVASAN, K. R. 1991 Fractal geometry of isoscalar surfaces in turbulence: theory and experiment. Phys. Rev. Lett. 67, 1379-1742.
13. DIMOTAKIS, P. E. 1991 Fractals, dimensional analysis and similarity, and turbulence. Nonlinear Sci. Today #2/91, pp. 1, 27-31.
14. DIMOTAKIS, P. E. 1993 Some issues on turbulent mixing and turbulence. GALCIT Rep. FM93-1a.
15. DIMOTAKIS, P. E., MIAKE-LYE, R. C. & PAPANTONIOU, D. A. 1983 Structure and dynamics of round turbulent jets. Phys. Fluids 26, 3185-3192.
16. FALCONER, K. J. 1990 Fractal geometry: Mathematical foundations and applications. Wiley.
17. FLOHR, P. & OLIVARI, D. 1994 Fractal and multifractal characteristics of a scalar dispersed in a turbulent jet. Physica D 76, 278-290.
18. GLUCKMAN, B. J., WILLAIME, H. & GOLLUB, J. P. 1993 Geometry of isothermal and isoconcentration surfaces in thermal turbulence. Phys. Fluids 5, 647-661.
19. HAUSDORFF, F. 1919 Dimension und äusseres Mass. Math. Ann. 79, 157-179.
20. KERSTEIN, A. R. 1991 Linear-eddy modelling of turbulent transport. Part V: Geometry of scalar interfaces. Phys. Fluids A 3, 1110-1114.
21. KOLMOGOROV, A. N. & TIHOMIROV, V. M. 1959 ε-entropy and ε-capacity of sets in functional spaces. Am. Math. Soc. Translations (1961, Section II), 277-364.
22. KUZNETSOV, V. R. & SABEL'NIKOV, V. A. 1990 Turbulence and Combustion. Hemisphere.
23. LANE-SERFF, G. F. 1993 Investigation of the fractal structure of jets and plumes. J. Fluid Mech. 249, 521-534.
24. MANDELBROT, B. B. 1967 How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science 155, 636-638.
25. MANDELBROT, B. B. 1975a On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars. J. Fluid Mech. 72, 401-416.
26. MANDELBROT, B. B. 1975b Les Objets Fractals: Forme, Hasard et Dimension. Flammarion.
27. MANDELBROT, B. B. 1977 Fractals, Form, Chance, and Dimension W. H. Freeman & Co.
28. MANDELBROT, B. B. 1982 The Fractal Geometry of Nature W. H. Freeman & Co.
29. MANDELBROT, B. B. 1989 Fractal geometry: What is it and what does it do? In Fractals in the Natural Sciences (ed. M. Fleischmann, D. J. Tildesley & R. C. Ball), p. 7. Springer
30. MANTZARAS, J. 1992 Geometrical properties of turbulent premixed flames: comparison between computed and measured quantities. Combust. Sci. Tech. 86, 135-162.
31. MARK, D. M. & ARONSON, P. B. 1984 Scale-dependent fractal dimensions of topographic surfaces: an empirical investigation, with applications in geomorphology and computer mapping. Math. Geol. 16, 671-683.
32. MCCOMB, W. D. 1991 The Physics of Fluid Turbulence Clarendon Press.
33. MIKHAILOV, A. S. & LOSKUTOV, A. Y. 1991 Foundations of Synergetics II: Complex Patterns Springer.
34. MILLER, P. L. 1991 Mixing in high Schmidt number turbulent jets. PhD thesis, California Institute of Technolgy.
35. MILLER, P. L. & DIMOTAKIS, P. E. 1991a Stochastic geometric properties of scalar interfaces in turbulent jets. Phys. Fluids A3, 168-177.
36. MILLER, P. L. & DIMOTAKIS, P. E. 1991b Reynolds number dependence of scalar fluctuations in a high Schmidt number turbulent jet. Phys. Fluids A3, 1156-1163.
37. PRASAD, R. R. & SREENIVASAN, K. R. 1990 Quantitative three-dimensional imaging and the structure of passive scalar fields in fully turbulent flows. J. Fluid Mech. 216, 1-34.
38. PROCACCIA, I., BRANDENBURG, A., JENSEN, M. H. & VINCENT, A. 1992 The fractal dimension of isovorticity structures in 3-dimensional turbulence. Europhys. Lett. 19, 183-187.
39. RICHARDSON, L. F. 1961 The problem of contiguity: an appendix of statistics of deadly quarrels. General Systems Yearbook 6, 139-187.
40. RIGAUT, J.-P. 1991 Fractals, semi-fractals, and biometry. In Fractals: Non-integral Dimenstions and Applications (ed. G. Cherbit), pp. 151-187. Wiley.
41. SREENIVASAN, K. R. 1991 Fractals and Multifractals in Fluid Turbulence. Ann. Rev. Fluid Mech. 23, 539-600.
42. SREENIVASAN, K. R. 1994 Fractals in fluid mechanics. Fractals 2, 253-263.
43. SREENIVASAN, K. R. & MENEVEAU, C. 1986 The fractal facets of turbulence. J. Fluid Mech. 173, 357-386.
44. SREENIVASAN, K. R., PRASAD, R. R., MENEVEAU, C. & RAMSHANKAR, R. 1989 The fractal geometry of interfaces and the multifractal distribution of dissipation in fully turbulent flows. Pure Appl. Geoph. 131, 43-60.
45. SUZUKI, M. 1984 Finite-size scaling for transient similarity and fractals. Prog. Theor. Phys. 71, 1397-1400.
46. TAKAYASU, H. 1982 Differential fractal dimension of random walk and its applications to physical systems. J. Phys. Soc. Japan 51, 3057-3064.
47. TAKAYASU, H. 1992 Fractals in the Physical Sciences Wiley.
48. TAYLOR, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. 20, 196-212.
49. TRICOT, C. 1995 Curves and Fractal Dimension Springer.
50. VICSEK, T. 1992 Fractal Growth Phenomena, 2nd Edn. World Scientific.
51. VINCENT, A. & MENEGUZZI, M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
52. WARE, B. R., CYR, D., GORTI, S. & LANNI, F. 1983 Electrophoretic and frictional properties of particles in complex media measured by laser light scattering and fluorescence photobleaching recovery. In Measurement of Suspended Particles by Quasi-Elastic Light Scattering, pp. 255-289. Wiley.