Abstract
A laboratory study of the turbulence front initiated by the Rayleigh-Taylor instabilities was conducted by overturning a two-layer stratified flow in a tank. Dye was introduced to the upper layer and the concentration of the dye was determined using a video imaging method. The mass center of the heavier upper layer moved continuously to a lower elevation because of the intrusion of the heavier fluid into the lower layer and the lighter fluid into the upper layer. The downward movement of the mass center was accurately determined from the dye concentration profile. It is concluded that the initial advancement of the mass center follows a quadratic relation with time and the final advancement obeys a linear relation with time.
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RAYLEIGH J. W. S. Scientific papers [M]. Cambridge, UK: Cambridge University Press, 1930.
TAYLOR G. I. The instability of liquid surfaces when accelerated in a direction perpendicular to their planes[C]. Proceedings of Royal Society. London, UK, 1950, A201: 192–196.
GLIMM J. and SHARP D. H. et al. A Critical Analysis of Rayleigh–Taylor growth rates[J]. Journal of Computational Physics, 2001, 169(2): 652–677.
ANDREWS M. J., SPALDING D. B. A simple experiment to investigate two-dimensional mixing by Rayleigh-Taylor instability[J]. Physics of Fluids A, 1990, 2(6): 922–927.
VOROPAYEV S. I., AFANASYEV Y. D. and VAN HEIJST J. G. F. Experiments on the evolution of gravitational instability of an overturned initially stably stratified fluid[J]. Physics of Fluids A, 1993, 5(10): 2461–2466.
LEE Joseph H. W. and LAM K. M. Environmental hydraulics and sustainable water management[M]. London, UK: Taylor and Francis Group, 2005, 263–268.
LI X. and CHU V. H. The experimental and numerical study of Rayleigh-Taylor instability[J]. Science and Technology Review, 2005, 23(11): 30–32(in Chinese).
LI Xi, CHU V. H. Rayleigh-Taylor instabilities by overturning experiments[C]. Proceedings of the 15th Congress of APD-IAHR IIT Madras. Chennai, India, 2006, 1077–1082.
LEE Joseph H. W. and CHU V. H. Turbulent jets and plumes[M]. Boston, USA: Kluwer Academic Publishers, 2003, 207–208.
SCHNEIDER M. B., DIMONTE G. and REMINGTON B. Large and small scale structure in Rayleigh-Taylor mixing[J]. Physics Review Letter, 1998, 80(16): 3507–3510.
DIMONTE G. and SCHNEIDER M. Density ratio dependence of Rayleigh-Taylor mixing for sustained and impulsive acceleration histories[J]. Physics of Fluids, 2000, 12(2): 304–321.
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Biography: Li xi(1970-), Male, Ph.D., Lecturer
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Li, X., Chu, V.H. Rayleigh-Taylor Instabilities by Overturning Experiments in Tank. J Hydrodyn 19, 303–308 (2007). https://doi.org/10.1016/S1001-6058(07)60062-6
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DOI: https://doi.org/10.1016/S1001-6058(07)60062-6