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- W2046654343 abstract "Chagelishvili et al. [Phys. Rev. Lett. 79, 3178 (1997)] discovered a linear mechanism of acoustic wave emergence from vorticity fluctuations in shear flows. This paper illustrates how this ``nonresonant'' phenomenon is related to the non-normality of the operator governing the linear dynamics of disturbances in shear flows. The non-self-adjoint nature of the governing operator causes the emergent acoustic wave to interact strongly with the vorticity disturbance. Analytical expressions are obtained for the nondivergent vorticity perturbation. A discontinuity in the $x$ component of the velocity field corresponding to the vorticity disturbance was originally identified to be the cause of acoustic wave emergence. However, a different mechanism is proposed in this paper. The correct ``acoustic source'' is identified and the reason for the abrupt nature of wave emergence is explained. The impact of viscous damping is also discussed." @default.
- W2046654343 created "2016-06-24" @default.
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- W2046654343 date "2009-10-28" @default.
- W2046654343 modified "2023-10-14" @default.
- W2046654343 title "Emergence of acoustic waves from vorticity fluctuations: Impact of non-normality" @default.
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- W2046654343 doi "https://doi.org/10.1103/physreve.80.046321" @default.
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