Radiation damping and acoustic relativism of a solid body motion through a compressible medium

Abstract

Interaction of a moving body with a compressible fluid is considered in light of electrodynamic analogies. For a sphere-shaped body, the “relativistic” correction to the added mass and radiation damping force is calculated. Motion with small velocities, as well as the case of near-sonic motion, is considered. For comparison with the 3-D case, the 1-D problem of the motion of a barge in a canal is solved, with the nontrivial dispersion of the surface gravity waves taken into account. The question of a stationary solution is discussed, taking into account dispersion and nonlinearity.