Diffraction par un corps élancé en mouvement

Abstract
Application of the so-called slender-body approximation to calculate the field scattered by a uniformly moving slender-body of revolution insonified by a co-moving point source in free space. By using a linear transformation of coordinates analogous to a Lorentz transformation, the transformed problem is similar the stationary case except for the boundary condition on the body surface which is modified by the source and target motions. An approximate solution to the velocity potential is derived by applying the matched asymptotic expansions method. From a geometrical analysis of the previous results, a general solution is proposed for low subsonic motions at low frequency.