Rayleigh-Taylor turbulent mixing of immiscible, miscible and stratified fluids

Physics of Fluids

Volumn 17, Issue 8, 2005, Pages 1-4

  Abarzhi, S I ^a   Gorobets, A ^b   Sreenivasan, K R ^b  

^a STANFORD UNIVERSITY   (United States)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DENSITY (SPECIFIC GRAVITY); DIFFUSION; ENERGY DISSIPATION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; MIXING; SOLUBILITY; THERMAL EFFECTS; TURBULENT FLOW;

IMMISCIBLE FLUIDS; MISCIBLE FLUIDS; RAYLEIGH-TAYLOR (RT) TURBULENT MIXING; STRATIFIED FLUIDS; TURBULENT DIFFUSION; TURBULENT MIXING;

FLUID DYNAMICS;

MIXING; STRATIFIED FLOW; TURBULENCE;

EID: 24144473988     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2009027     Document Type: Article

References (40)

1. Lord Rayleigh, Scientific Papers, Volume II (Cambridge University Press, Cambridge, England, 1990), p. 200.
2. R. M. Davies and G. I. Taylor, "The mechanics of large bubbles rising through extended liquids and through liquids in tubes," Proc. R. Soc. London, Ser. A 200, 375 (1950). PRLAAZ1364-5021
3. M. Schneider, G. Dimonte, and B. Remington, "Large and smalls scale structures in Rayleigh-Taylor mixing," Phys. Rev. Lett. 80, 3507 (1998). PRLTAO0031-900710.1103/PhysRevLett.80.3507
4. S. E. Bodner, D. G. Colombat, J. H. Gardner, R. H. Lehmberg, R. L. McCrory, W. Seka, C. P. Verdon, J. P. Knauer, B. B. Afeyan, and H. T. Powell, "Direct-drive laser fusion: Status and prospects," Phys. Plasmas 5, 1901 (1998) PHPAEN1070-664X10.1063/1.872861
5. Y. Aglitskiy, A. L. Velikovich, M. Karasik, V. Serlin, C. J. Pawley, A. J. Schmitt, S. P. Obenschain, A. N. Mostovych, J. H. Gardner, and N. Metzler, "Direct observation of feedout-related mass oscillations in plastic targets," Phys. Rev. Lett. 87, 265002 (2001). PRLTAO0031-900710.1103/PhysRevLett.87.265002
6. S. P. Regan, J. A. Delettrez, V. N. Goncharov, F. J. Marshall, J. M. Soures, V. A. Smalyuk, P. B. Radha, B. Yaakobi, R. Epstein, V. Yu. Glebov, P. A. Jaanimagi, D. D. Meyerhofer, T. C. Sangster, W. Seka, S. Skupsky, and C. Stoeckl, "Dependence of shell mix on feed-through in direct drive inertial confinement fusion," Phys. Rev. Lett. 92, 185002 (2004) PRLTAO0031-900710.1103/PhysRevLett.92.185002
7. M. M. Marinak, S. G. Glendinning, R. J. Wallace, B. A. Remington, K. S. Budil, S. W. Haan, R. E. Tipton, and J. D. Kilkenny, "Nonlinear Rayleigh-Taylor evolution of a three-dimensional multimode perturbation," Phys. Rev. Lett. 80, 4426 (1998). PRLTAO0031-900710.1103/PhysRevLett.80.4426
8. D. D. Ryutov, M. S. Derzon, and M. K. Matzen, "The physics of fast Z pinches," Rev. Mod. Phys. 72, 167 (2000). RMPHAT0034-686110.1103/ RevModPhys.72.167
9. W. Hillebrandt and J. C. Niemeyer, "Type Ia supernova explosion models," Annu. Rev. Astron. Astrophys. 38, 191 (2000) ARAAAJ0066-414610.1146/annurev.astro.38.1.191
10. J. B. Bell, M. S. Day, C. A. Rendleman, S. E. Woosley, and M. A. Zingale, "Direct numerical simulations of type Ia supernovae flames II: The Rayleigh-Taylor instability," LBNL Report LBNL-54300 (submitted to Astrophys. J.). ASJOAB0004-637X
11. B. Remington, R. P. Drake, H. Takabe, and D. Arnett, "A review of astrophysics experiments on intense lasers," Phys. Plasmas 7, 1641 (2000). PHPAEN1070-664X10.1063/1.874046
12. R. F. Stein and A. Norlund, "Realistic solar convection simulations," Sol. Phys. 192, 91 (2000). SLPHAX0038-093810.1023/ A:1005260918443
13. M. P. Rast, "Compressible plume dynamics and stability," J. Fluid Mech. 369, 125 (1998). JFLSA70022-1120
14. P. Marmottant and E. Villermaux, "On spray formation," J. Fluid Mech. 498, 73 (2004). JFLSA70022-112010.1017/S0022112003006529
15. D. H. Sharp, "An overview of Rayleigh-Taylor instability," Physica D 12, 3 (1984). PDNPDT0167-2789
16. F. Kull, "Theory of Rayleigh-Taylor instability," Phys. Rep. 206, 197 (1991). PRPLCM0370-157310.1016/0370-1573(91)90153-D
17. J. T. Waddell, J. W. Jacobs, and C. E. Niederhaus, "Experimental study of Rayleigh-Taylor instability: Low Atwood number liquid systems with single-mode initial perturbations," Phys. Fluids 13, 1263 (2001). PHFLE61070-663110.1063/1.1359762
18. X. Y. He, R. Y. Zhang, S. Y. Chen, and G. D. Doolen, "On the three-dimensional Rayleigh-Taylor instability," Phys. Fluids 11, 1143 (1999). PHFLE61070-663110.1063/1.869984
19. S. B. Dalziel, P. F. Linden, and D. L. Youngs, "Self-similarity and internal structure of turbulence induced by Rayleigh-Taylor instability," J. Fluid Mech. 4X 399, 1 (1999). JFLSA70022-112010.1017/S00221120990061
20. P. Ramaprabhu and M. J. Andrews, "Experimental investigation of Rayleigh-Taylor mixing at small Atwood numbers," J. Fluid Mech. 503, 233 (2003). JFLSA70022-1120
21. Y. A. Kucherenko, O. E. Shestachenko, S. I. Balabin, and A. P. Pylaev, "RFNC-VNIITF multi-functional shock tube for investigating the evolution of instabilities in non-stationary gas dynamic flows," Laser Part. Beams 21, 381 (2003). LPBEDA0263-034610.1017/ S0263034603213148
22. A. W. Cook, W. Cabot, and P. Miller, "The mixing transition in Rayleigh-Taylor instability," J. Fluid Mech. 511, 333 (2004). JFLSA70022-112010.1017/S0022112004009681
23. B. Cheng, J. Glimm, and D. Sharp, "Density dependence of Rayleigh-Taylor and Richtmyer-Meshkov mixing fronts," Phys. Lett. A 268, 366 (2000). PYLAAG0375-960110.1016/S0375-9601(00)00204-8
24. U. Alon, J. Hecht, D. Offer, and D. Shvarts, "Power-laws and similarity of Rayleigh-Taylor and Richtmyer-Meshkov mixing fronts at all density ratios," Phys. Rev. Lett. 74, 534 (1995) PRLTAO0031-900710.1103/PhysRevLett.74.534
25. D. Oron, L. Arazi, D. Kartoon, A. Rikanati, U. Alon, and D. Shvarts, "Dimensionality dependence of the Rayleigh-Taylor and Richtmyer-Meshkov instability late-time scaling laws," Phys. Plasmas 8, 2883 (2001). PHPAEN1070-664X10.1063/1.1362529
26. Y. A. Kucherenko, S. I. Balabin, R. I. Ardashova, O. E. Kozelkov, A. V. Dulov, and I. A. Romanov, "Experimental study of the influence of the stabilizing properties of transitional layers on the turbulent mixing evolution," Laser Part. Beams 21, 369 (2003). LPBEDA0263-034610.1017/S0263034603213124
27. S. Fujioka, A. Sunahara, K. Nishihara, N. Ohnishi, T. Johzaki, H. Shiraga, K. Shigemori, M. Nakai, T. Ikegawa, M. Murakami, K. Nagai, T. Norimatsu, H. Azechi, and T. Yamanaka, "Suppression of the Rayleigh-Taylor instability due to self-radiation in a multi-ablation target," Phys. Rev. Lett. 92, 195001 (2004). PRLTAO0031-900710.1103/ PhysRevLett.92.195001
28. J. L. Milovich, P. Amendt, M. Marinak, and H. Robey, "Multi-mode short-wavelength perturbation growth studies for the National Ignition Facility double-shell ignition target design," Phys. Plasmas 11, 1552 (2004). PHPAEN1070-664X10.1063/1.1646161
29. T. J. B. Collins, J. P. Knauer, R. Betti, T. R. Boehly, J. A. Delettrez, V. N. Goncharov, D. D. Meyerhofer, P. W. McKenty, S. Skupsky, and R. P. J. Town, "Reduction of the ablative Rayleigh-Taylor growth rate with Gaussian picket pulses," Phys. Plasmas 11, 1569 (2004). PHPAEN1070-664X10.1063/1.1649994
30. G. Dimonte, "Spanwise homogeneous buoyancy-drag model for Rayleigh-Taylor mixing and experimental verification," Phys. Plasmas 7, 2255 (2000). PHPAEN1070-664X10.1063/1.874060
31. G. Dimonte, D. L. Youngs, A. Dimits, S. Weber, M. Marinak, S. Wunsch, C. Garasi, A. Robinson, M. J. Andrews, P. Ramaprabhu, A. C. Calder, B. Fryxell, J. Biello, L. Dursi, P. MacNeice, and K. Olson, "Density ratio dependence of Rayleigh-Taylor mixing for sustained and impulsive acceleration histories," Phys. Fluids 16, 1668 (2004). PHFLE61070-663110.1063/1.1688328
32. D. L. Youngs, "Three-dimensional numerical simulation of turbulent mixing by Rayleigh-Taylor instability," Phys. Fluids A 3, 1312 (1991). PFADEB0899-821310.1063/1.858059
33. S. I. Abarzhi, K. Nishihara, and J. Glimm, "Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio," Phys. Lett. A 317, 470 (2003). PYLAAG0375-960110.1016/ j.physleta.2003.09.013
34. S. I. Abarzhi, G. Blanquart, S. Fedotov, and H. Pitsch, "Stochastic modeling of turbulent mixing," Proceedings of 9th International Workshop on Physics of Compressible Turbulent mixing, Cambridge (2004).
35. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics VI, Fluid Mechanics (Pergamon, New York, 1987)
36. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953).
37. K. R. Sreenivasan, "On the scaling of the turbulence energy dissipation rate," Phys. Fluids 27, 1048 (1984). PFLDAS0031-917110.1063/1.864731
38. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, London, 1968)
39. K. O. Mikaelian, "Rayleigh-Taylor instabilities in stratified fluids," Phys. Rev. A 26, 2140 (1982). PLRAAN1050-294710.1103/ PhysRevA.26.2140
40. Y. Yang and Q. Zhang, "General properties of a multilayer stratified fluids system," Phys. Fluids A 5, 1167 (1993). PFADEB0899-821310.1063/1.858602