Thin body motion under free surface with formation of final length cavity

The two-dimensional problem of high velocity moving slender body interaction with fluid free surface was regarded. Gravity was neglected as compared with fluid inertia. The problem is relevant to underwater motion of a bullet or shell, which could take place in orbital collisions of particles with fluid-filled containments. The problem is also relevant to evaluating wave-breakers effect on the streaming flow. The solution was obtained for the case of final length cavity formation behind the body. The solution allows determining free surface shape, drag and lift forces. In the limiting cases of relatively small depth or high compressibility, the obtained solution permitted analytical approximation.