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Rayleigh–Taylor instability at a tilted interface in laboratory experiments and numerical simulations

Published online by Cambridge University Press:  03 March 2004

JOANNE M. HOLFORD ,
STUART B. DALZIEL  and
DAVID YOUNGS
JOANNE M. HOLFORD
Affiliation:
DAMTP, University of Cambridge, Cambridge, United Kingdom
STUART B. DALZIEL
Affiliation:
DAMTP, University of Cambridge, Cambridge, United Kingdom
DAVID YOUNGS
Affiliation:
AWE Reading, Berkshire, United Kingdom
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Abstract

This article investigates the molecular mixing caused by Rayleigh–Taylor (RT) instability of a gravitationally unstable density interface tilted at a small angle to the horizontal. The mixing is measured by the increase in background potential energy, and the mixing efficiency, or fraction of energy irreversibly lost to fluid motion doing work against gravity, is calculated. Laboratory experiments are carried out using saline and fresh water, and modeled with compressible numerical simulations, with a suitable choice of parameters and initial conditions. The experiments show that the high cumulative efficiency of mixing in RT instability at a horizontal interface is only slightly reduced by an interface tilt of up to 10°, despite the strong overturning that occurs. Instantaneous mixing efficiencies as high as 0.5–0.6 are measured, when RT instability is active, with lower values of about 0.35 during the subsequent overturning. The numerical simulations capture the most unstable scales and the overturning motion well, but generate more mixing than the experiments, with the instantaneous mixing efficiency remaining at 0.5 for most of the run. The difference may be due to restratification at small scales in the high Prandtl number experiments.

Keywords

Mixing efficiencyMolecular mixingRayleigh–Taylor instability
Type
Research Article
Information
Laser and Particle Beams , Volume 21 , Issue 3 , July 2003 , pp. 419 - 423
Copyright
© 2003 Cambridge University Press

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References

REFERENCES

Caulfield, C.P. & Peltier, W.R. (2000). Mixing in stratified shear flows: Dependence on initial conditions. Proc. of 5th Int. Symp. on Strat. Flows, (Lawrence, G.A., Pieters, R. and Yonemitsu, N., Eds.), pp. 483–488.
Cook, A.W. & Dimotakis, P.E. (2001). Transitional stages of Rayleigh–Taylor instability between miscible fluids. J. Fluid Mech. 443, 69–99.Google Scholar
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.Google Scholar
Linden, P.F. & Redondo, J.M. (1991). Molecular mixing in Rayleigh–Taylor instability. Part I. Global mixing. Phys. Fluids A 3, 1269–1277.Google Scholar
Linden, P.F., Redondo, J.M. & Youngs, D.L. (1994). Molecular mixing in Rayleigh–Taylor instability. J. Fluid Mech. 265, 97–124.CrossRefGoogle Scholar
Lorenz, E.N. (1955). Available potential energy and the maintenance of the general circulation. Tellus 7, 157–167.Google Scholar
Winters, K.B., Lombard, P.N., Riley, J.J. & D'Asaro E.A. (1995). Available potential energy and mixing in density-stratified fluids. J. Fluid Mech. 289, 115–128.CrossRefGoogle Scholar