Acoustic radiation of a spheroid streamlined by a stationary flow of an ideal liquid

In the article the problem of the acoustic radiation of a spheroid streamlined by a stationary flow of an ideal liquid is considered.
It is assumed that the velocity of the incoming flow is significantly lower than the speed of sound. Part of the surface of the spheroid makes harmonic vibrations and the rest part is absolutely rigid. The problem is solved in a prolate spheroidal coordinate system. An approximate analytical solution of the problem was obtained with using the speed potential of the oncoming on the body flow and the speed potential of the stationary radiator acoustic field.
The results of numerical calculations of polar diagrams of the acoustic pressure distribution on the surface of a spheroid at different values of the ratio of the flow velocity to the speed of sound and different configurations of the spheroid are presented.