Abstract
The authors study the structure of the vortex sheet generated by a thin rectangular plate harmonically oscillating in a flow of non-viscous fluid. In frames of the Lighthill–Curle and Powell aeroacoustic theories, it is shown that the shedding vortices determine the magnitude of the generated sound. The problem is reduced to a dual integral equation which is solved numerically. The solution defines the sound of the load, as well as the components of the vortex vector over the sheet. Some examples of the numerical treatment are shown for various combinations of physical parameters.
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Acknowledgements
The present work is a result of the visiting professorship of Prof. M. A. Sumbatyan from the Southern Federal University, Russia, at the University of Salerno, Italy, for a two-week period on May–June, 2017, supported by the Italian National Group of Mathematical Physics (GNFM-INdAM). The second author would also like to note that this work is in frame of the topic of Project 9.5794.2017/8.9 (Russian Ministry for Education and Science). The authors express their gratitude to the anonymous reviewer for his/her very helpful critical comments.
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Zampoli, V., Sumbatyan, M.A. Flow-induced vortex field generated by a thin oscillating plate in an aeroacoustics framework. Z. Angew. Math. Phys. 70, 33 (2019). https://doi.org/10.1007/s00033-019-1081-7
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DOI: https://doi.org/10.1007/s00033-019-1081-7