When fluid dynamics meets acoustics: the scattering of vorticity into sound, and its canonical problems

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• John Chapman (Keele University)
• Thursday 09 February 2023, 09:45-10:30
• Seminar Room 1, Newton Institute.

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MWSW01 - Canonical scattering problems

One of the most fundamental results in the theory of fluid dynamics is that `vorticity moves with the fluid’.  At low Mach number, this leads to very little sound production from the fluid itself.  However, when vorticity strikes an edge of a solid body, such as the leading or trailing edge of any type of blade (e.g. in a fan or aircraft engine), intense conversion of vortical energy into sound energy occurs.  This is a matter of great importance for the public acceptance of advanced technology.  The presentation reviews the main canonical problems which have emerged over many of years of analysis of such sound production, including several solved by the presenter in which complete analytical and geometrical details were obtained by careful mathematical analysis.

This talk is part of the Isaac Newton Institute Seminar Series series.

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