Mixing efficiency in high-aspect-ratio Rayleigh-Taylor experiments

Physics of Fluids

Volumn 20, Issue 6, 2008, Pages

  Dalziel, Stuart B ^a   Patterson, Michael D ^a,b,d   Caulfield, C P ^a,c   Coomaraswamy, Imran A ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b YALE UNIVERSITY   (United States)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^d University of Bath   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; EFFICIENCY; MIXING; REYNOLDS NUMBER; TRANSPORT PROPERTIES;

DENSITY STRATIFIED; EXPONENTIAL DECAYS; HIGH REYNOLDS NUMBER; HIGH-REYNOLDS-NUMBER TURBULENCE; MOLECULAR VISCOSITY; RAYLEIGH-TAYLOR INSTABILITIES; TURBULENT DIFFUSION; VERTICAL TRANSPORTS;

ASPECT RATIO;

EID: 47149092589     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2936311     Document Type: Article

References (23)

1. L. Rayleigh, "Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density," Proc. London Math. Soc. PLMTAL0024-6115 XIV, 170-177 (1900).
2. K. I. Read, "Experimental investigation of turbulent mixing by Rayleigh-Taylor instability," Physica D PDNPDT0167-278910.1016/ 0167-2789(84)90513-X 12, 45 (1984).
3. S. B. Dalziel, "Rayleigh-Taylor instability: Experiments with image analysis," Dyn. Atmos. Oceans DAOCDC0377-026510.1016/ 0377-0265(93)90051-8 20, 127 (1993).
4. P. Ramaprabhu and M. J. Andrews, "Experimental investigation of Rayleigh-Taylor mixing at small Atwood numbers," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003007419 502, 233 (2004).
5. J. R. Ristorcelli and T. T. Clark, "Rayleigh-Taylor turbulence: Self-similar analysis and direct numerical simulation," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004008286 507, 213 (2004).
6. 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, K. Olson, P. Ricker, R. Rosner, F. Timmes, H. Tufo, Y. N. Young, and M. Zingale, "A comparative study of the turbulent Rayleigh-Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-group collaboration," Phys. Fluids PHFLE61070-663110.1063/1.1688328 16, 1668 (2004).
7. N. A. Inogamov, A. M. Oparin, A. Yu. Dem'yanov, L. N. Dembitskioe, and V. A. Khokhlov, "On stochastic mixing caused by the Rayleigh-Taylor instability," J. Exp. Theor. Phys. JTPHES1063-776110.1134/1.1371353 92, 714 (2001).
8. S. I. Abarzhi, A. Gorobets, and K. R. Sreenivasan, "Rayleigh-Taylor turbulent mixing of immiscible, miscible and stratified fluids," Phys. Fluids PHFLE61070-663110.1063/1.2009027 17, 081705 (2005).
9. M. Debacq, V. Fanguet, J. P. Hulin, and D. Salin, "Self-similar concentration profiles in buoyant mixing of miscible fluids in a vertical tube," Phys. Fluids PHFLE61070-663110.1063/1.1405442 13, 3097 (2001).
10. M. Debacq, J.-P. Hulin, D. Salin, B. Perrin, and E. J. Hinch, "Buoyant mixing of miscible fluids of varying viscosities in vertical tubes," Phys. Fluids PHFLE61070-663110.1063/1.1624838 15, 3846 (2003).
11. T. Séon, J.-P. Hulin, D. Salin, B. Perrin, and E. J. Hinch, "Buoyant mixing of miscible fluids in tilted tubes," Phys. FluidsPHFLE61070-663110.1063/1.1808771 16, L103 (2004).
12. T. Séon, J.-P. Hulin, D. Salin, B. Perrin, and E. J. Hinch, "Buoyancy driven miscible front dynamics in tilted tubes," Phys. Fluids PHFLE61070-663110.1063/1.1863332 17, 031702 (2005).
13. J. E. Simpson, Gravity Currents in the Environment and the Laboratory, 2nd ed. (Cambridge University Press, Cambridge, 1997), p. 244.
14. T. Séon, J. Znaien, D. Salin, J.-P. Hulin, E. J. Hinch, and B. Perrin, "Transient buoyancy-driven front dynamics in nearly horizontal tubes," Phys. Fluids PHFLE61070-663110.1063/1.2813581 19, 123603 (2007).
15. K. B. Winters, P. N. Lombard, J. J. Riley, and E. A. D'Asaro, "Available potential energy and mixing in density-stratified fluids," J. Fluid Mech.JFLSA70022-112010.1017/S002211209500125X 289, 115 (1995).
16. M. D. Patterson, C. P. Caulfield, J. N. McElwaine, and S. B. Dalziel, "Time-dependent mixing in stratified Kelvin-Helmholtz billows: Experimental observations," Geophys. Res. Lett. GPRLAJ0094-827610.1029/2006GL026949 33, L15608, DOI: 10.1029/ 2006GL026949 (2006).
17. G. Dimonte, "Dependence of turbulent Rayleigh-Taylor instability on initial perturbations," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.69.056305 69, 056305 (2004).
18. J. E. Simpson and P. F. Linden, "Frontogenesis in a fluid with horizontal density gradients," J. Fluid Mech. JFLSA70022-112010.1017/S0022112089001072 202, 1 (1989).
19. M. J. Andrews and D. B. Spalding, "A simple experiment to investigate two-dimensional mixing by Rayleigh-Taylor instability," Phys. Fluids A PFADEB0899-821310.1063/1.857652 2, 922 (1990).
20. J. Hacker, P. F. Linden, and S. B. Dalziel, "Mixing in lock-release gravity currents," Dyn. Atmos. Oceans DAOCDC0377-026510.1016/ 0377-0265(95)00443-2 24, 183 (1996).
21. P. F. Linden, "Mixing in stratified fluids," Geophys. Astrophys. Fluid Dyn. GAFDD30309-192910.1080/03091927908243758 13, 3 (1979).
22. W. R. Peltier and C. P. Caulfield, "Mixing efficiency in stratified shear flows," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.35.101101.161144 35, 135 (2003).
23. E. J. Strang and H. J. S. Fernando, "Entrainment and mixing in stratified shear flows," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112000002706 428, 349 (2001).