Axially Symmetric Acoustic Wave Propagation through Flows with Vorticity

摘要

Periodic solutions of the linearized axially symmetric Euler equations aresought. The axially symmetric case is of considerable practical interest, since these equations are used to calculate the sound field around commercial aircraft engine inlets, which are circular. It is known that these equations are well posed in plane case; however, the proof relies on the two-dimensional nature of the problem. The axially symmetric problem does not trivially follow, since periodic variations in the sigma direction give rise to a three-dimensional velocity field. acoustic propagation, rotational flows.