Flow-induced vortex field generated by a thin oscillating plate in an aeroacoustics framework

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.