Abstract
The formation of wave structures on an unstable (in the Rayleigh-Taylor criterion) boundary of a plane cavity is studied using high-speed video filming. It is shown that at the head of the cavity a quasiperiodic wave regime develops, with a mean wavelength similar to that obtained from a linear stability analysis for the cavity boundary. Observations of the initial-regime breakdown show that its scenarios are similar to the development of subharmonic instability in the one-mode regime. The waves are classified with respect to the wave development rate. It is shown that the large-wave amplitude growth law is on average closely approximated by a quadratic parabola, with the total gas entrainment from the cavity being proportional to the square of the cavity length. The existence of a scaling effect is detected, which in the case considered reduces mainly to a dependence of the gas entrainment coefficient on the Weber number. It is shown that with decrease in the Weber number the gas entrainment coefficient may significantly increase.
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Original Russian Text © I.I. Kozlov, V.V. Prokof’ev, A.A. Puchkov, 2008, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2008, Vol. 43, No. 2, pp. 137–148.
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Kozlov, I.I., Prokof’ev, V.V. & Puchkov, A.A. High-speed videocamera investigation of the wave structure development on an unstable cavity boundary. Fluid Dyn 43, 287–296 (2008). https://doi.org/10.1134/S0015462808020130
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DOI: https://doi.org/10.1134/S0015462808020130