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Time-reversal analogy by nonlinear acoustic-gravity wave triad resonance

Kadri, Usama 2019. Time-reversal analogy by nonlinear acoustic-gravity wave triad resonance. Fluids 4 (2) , 91. 10.3390/fluids4020091

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Abstract

Time reversal of free-surface water (gravity) waves due to a sudden change in the effective gravity has been extensively studied in recent years. Here, we show that an analogy to time-reversal can be obtained using nonlinear acoustic-gravity wave theory. More specifically, we present a mathematical model for the evolution of a time-reversed gravity wave packet from a nonlinear resonant triad perspective. We show that the sudden appearance of an acoustic mode in analogy to a sudden vertical oscillation of the liquid film, can resonate effectively with the original gravity wave packet causing energy pumping into an oppositely propagating (time-reversed) surface gravity wave of an almost identical shape.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: MDPI
ISSN: 2311-5521
Date of First Compliant Deposit: 23 May 2019
Date of Acceptance: 13 May 2019
Last Modified: 23 May 2019 10:00
URI: http://orca.cf.ac.uk/id/eprint/122772

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