Experimental investigation of Rayleigh-Taylor mixing at small Atwood numbers

Journal of Fluid Mechanics

Volumn 502, Issue , 2004, Pages 233-271

  Ramaprabhu, P ^a   Andrews, M J ^a  

^a Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY (SPECIFIC GRAVITY); IMAGE ANALYSIS; KINETIC ENERGY; MIXING; RAYLEIGH FADING; SPECTRUM ANALYSIS; VELOCITY MEASUREMENT;

PARTICLE IMAGE VELOCITMETRY (PIV); SELF-SIMILAR EVOLUTION;

FLUID MECHANICS;

FLUID MECHANICS; MATHEMATICAL MODELING; MIXING; PARTICLE IMAGE VELOCIMETRY; TURBULENCE;

EID: 3843066309     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003007419     Document Type: Article

References (58)

1. ADRIAN, R. J. 1991 Particle-imaging techniques for experimental fluid mechanics. Annu. Rev. Fluid Mech. 23, 261-304.
2. ADRIAN, R. J. 1997 Dynamic ranges of velocity and spatial resolution of particle image velocimetry. Meas. Sci. Technol. 8, 1393-1398.
3. ANDREWS, M. J. 1986 Turbulent mixing by Rayleigh-Taylor instability. PhD dissertation, London University.
4. ANDREWS, M. J. & SPALDING, D. B. 1990 A simple experiment to investigate two-dimensional mixing by Rayleigh-Taylor instability. Phys. Fluids A 2, 922-927.
5. BEALE, J. C. & REITZ, R. D. 1999 Modeling spray atomization with Kelvin-Helmholtz/Rayleigh-Taylor hybrid model. Atomiz. Sprays 9, 623-650.
6. BESNARD, D., HARLOW, F. H., RAUENZAHN, R. & ZEMACH, C. 1990 Spectral transport model for turbulence. Los Alamos Rep. LA-11821.
7. BESNARD, D., HARLOW, F. H., RAUENZAHN, R. & ZEMACH, C. 1992 Turbulence transport equations for variable density turbulence, and a relationship to two-fluid models. Los Alamos Rep. LA-11303.
8. CHANDRASEKHAR, S. 1961 Hydrodynamic and Hydromagnetic Stability. Clarendon.
9. COOK, A. W. & DIMOTAKIS, P. E. 2001 Transition stages of Rayleigh-Taylor instability between miscible fluids. J. Fluid Mech. 443, 69-99.
10. COOK, A. W. & ZHOU, Y. 2002 Energy transfer in Rayleigh-Taylor instability. Phys. Rev. E 66, 026312.
11. CORRSIN, S. 1951 On the spectrum of isotropic temperature fluctuations in an isotropic turbulence. J. Appl. Phys. 22, 469-473.
12. DALY, B. J. 1967 Numerical study of two fluid Rayleigh-Taylor instability. Phys. Fluids 10, 297-307.
13. DALZIEL, S. B. 1993 Rayleigh-Taylor instability: experiments with image analysis. Dyn. Atmos. Oceans 20, 127-153.
14. DALZIEL, S. B., LINDEN, P. F. & YOUNGS, D. L. 1999 Self-similarity and internal structure of turbulence induced by Rayleigh-Taylor instability. J. Fluid Mech. 399, 1-48.
15. DANKWERTS, P. V. 1952 The definition and measurement of some characteristics of mixtures. Appl. Sci. Res. 3, 279-296.
16. DIMONTE, G. 2004 Dependence of turbulent Rayleigh-Taylor (RT) instability on initial conditions. Phys. Rev. E (to appear).
17. DIMONTE, G. & SCHNEIDER, M. 1996 Turbulent Rayleigh-Taylor instability experiments with variable acceleration. Phys. Rev. E 54, 3740-3743.
18. DIMONTE, G. & SCHNEIDER, M. 2000 Density ratio dependence of Rayleigh-Taylor mixing for sustained and impulsive acceleration histories. Phys. Fluids 12, 304-321.
19. DIMONTE, G., YOUNGS, D. L., DIMITS, A. et al. 2004 A comparative study of the turbulent Rayleigh-Taylor (RT) instability using high-resolution 3D numerical simulations: The Alpha-Group collaboration. Phys. Fluids (to appear).
20. DIMOTAKIS, P. E. 2000 The mixing transition in turbulent flows. J. Fluid Mech. 409, 69-98.
21. EMMONS, H. W., CHANG, C. T. & WATSON, B. C. 1960 Taylor instability of finite surface waves. J. Fluid Mech. 7, 177-193.
22. GLIMM, J., GROVE, J. W., LI, X. L., OH., W. & SHARP, D. H. 2001 A critical analysis of Rayleigh-Taylor growth rates. J. Comput. Phys. 169, 652-677.
23. GRUE, J., JENSEN, A., RUSAS, P. & SVEEN, J. K. 2000 Breaking and broadening of internal solitary waves. J. Fluid Mech. 413, 181-217.
24. GULL, S. F. 1975 The X-ray, optical and radio properties of young supernova remnants. Mon. Not. R. Astr. Soc. 171, 263-278.
25. JAFFE, N. A., OKAMURA, T. T. & SMITH, M. O. 1970 Determination of spatial amplification factors and their application to predicting transition. AIAA J. 8, 301-308.
26. JEVONS, W. S. 1857 On the cirrus formation of cloud. Phil. Mag. 14 (90), 22-35.
27. KUKULKA, D. J. 1981 Thermodynamic and transport properties of pure and saline water. MS dissertation, State University of New York at Buffalo.
28. LARUE, J. C. & LIBBY, P. A. 1976 Statistical properties of the interface in the turbulent wake of a heated cylinder. Phys. Fluids 19, 1864-1975.
29. LAWRENCE, G. A., BROWAND, F. K. & REDEKOPP, L. G. 1991 The stability of a sheared density interface. Phys. Fluids. A 3, 2360-2370.
30. LAYZER, D. 1955 On the instability of superposed fluids in a gravitational field. Astrophys. J. 122, 1-12.
31. LEWIS, D. J. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes II, Proc. R. Soc. Lond. A 202, 81-96.
32. LINDEN, P. F., REDONDO, J. M. & YOUNGS, D. I. 1994 Molecular mixing in Rayleigh-Taylor instability. J. Fluid Mech. 265, 97-124.
33. LINDL, J. D. 1998 Inertial Confinement Fusion: The Quest for Ignition and Energy Gain Using Indirect Drive. AIP Press.
34. NELDER, J. A. & MEAD, R. 1965 A Simplex method for function minimization. Comput. J. 7, 308-313.
35. OBUKHOV, A. M. 1949 Structure of the temperature field in turbulent flows. Izv. Akad. Nauk SSSR, Geogr. Geophys. 13, 58-69.
36. POPE, S. B. 2000 Turbulent Flows. Cambridge University Press.
37. PRESTRIDGE, K., RIGHTLEY, P. M., VOROBIEFF, P., BENJAMIN, R. F. & KURNIT, N. A. 2000 Simultaneous density-field visualization and PIV of a shock-accelerated gas curtain. Exps. Fluids 29, 339-347.
38. RAMAPRABHU, P. 2003 On the dynamics of Rayleigh-Taylor mixing. PhD dissertation, Texas A&M University.
39. RAMAPRABHU, P. & ANDREWS, M. J. 2003 Simultaneous measurements of velocity and density in buoyancy-driven mixing. Exps. Fluids 34, 98-106.
40. RATAFIA, M. 1973 Experimental investigation of Rayleigh-Taylor instability. Phys. Fluids 16, 1207-1210.
41. READ, K. I. 1984 Experimental investigation of turbulent mixing by Rayleigh-Taylor instability. Physica D 12, 45-58.
42. SCARANO, F. & RIETHMULLER, M. L. 1999 Iterative multigrid approach in PIV image processing with discrete window offset. Exps. Fluids 26, 513-523.
43. SNIDER, D. M. & ANDREWS, M. J. 1994 Rayleigh-Taylor and shear driven mixing with an unstable thermal stratification. Phys. Fluids A 6, 3324-3334.
44. SNIDER, D. M. & ANDREWS, M. J. 1996 The simulation of mixing layers driven by compound buoyancy and shear. J. Fluids Engng 118, 370-376.
45. STEINKAMP, M. J. 1995 Spectral analysis of the turbulent mixing of two-fluids. PhD thesis, University of Illinois at Urbana-Champaign.
46. STEINKAMP, M. J., CLARK, T. & HARLOW, F. H. 1995 Stochastic interpretation of fluids. Los Alamos Rep. LA-131016.
47. STEWART, R. W. 1968 Turbulence. Color-no. 21626 (distributed by Encyclopaedia Britannica Educational Corporation, 310 South Michigan Avenue, Chicago, Illinois 60604, USA).
48. TENNEKES, H. & LUMLEY, J. L. 1972 A First Course in Turbulence. MIT Press.
49. TURNER, J. S. 1980 Buoyancy Effects in Fluids. Cambridge University Press.
50. WADDELL, J. T., NIEDERHAUS, C. E. & JACOBS, J. W. 2001 Experimental study of Rayleigh-Taylor instability: low Atwood number liquid systems with single-mode initial perturbations. Phys. Fluids 13, 1263-1273.
51. WILSON, P. N. & ANDREWS, M. J. 2002 Spectral measurements of Rayleigh-Taylor mixing at low-Atwood number. Phys. Fluids A 14, 938-945.
52. WILSON, P., ANDREWS, M. & HARLOW F. 1999 Spectral nonequilibrium in a turbulent mixing layer. Phys. Fluids A 11, 2425-2433.
53. YOUNGS, D. L. 1984 Numerical simulation of turbulent mixing by Rayleigh-Taylor instability. Physica D 12, 32-44.
54. YOUNGS, D. L. 1989 Modeling turbulent mixing by Rayleigh-Taylor instability. Physica D 37, 270-287.
55. YOUNGS, D. L. 1994 Numerical simulation of Rayleigh-Taylor and Richtmeyer-Meshkov instabilities. Lasers Part. Beams 12, 725-750.
56. YOUNGS, D. L. 2003 Application of MILE to Rayleigh-Taylor and Richtmeyer-Meshkov mixing. 16th AIAA Computational Fluid Dyn. Conf. 23-26 June 2003 AIAA, p. 4102.
57. YOUNG, Y. N., TUFO, H., DUBEY, A. & ROSNER, R. 2001 On the miscible Rayleigh-Taylor instability: two and three dimensions. J. Fluid Mech. 447, 377-408.
58. ZHOU, Y. 2001 A scaling analysis of turbulent flows driven by Rayleigh-Taylor and Richtmeyer-Meshkov instabilities. Phys. Fluids 13, 538-543.