| Abstract: | This paper is devoted to a study of the vortex-free (irrotational) motion of an ideal incompressible liquid during the vertical immersion of a cylindrical solid. In contrast to problems of impact 1] and the entry of a solid into water 2], the case here treated deals with continuous immersion involving a change in the shape of the free surface but with a constant width of the wetted surface of the solid. The coefficients of the time-dependent power series for the velocity potential, the equation of the free surface, and the pressure on the solid are determined, allowing for all the terms in the Cauchy-Lagrange equation. The results of calculations relating to the immersion of a bottom with an elliptical shape of the submerged part are presented.Translated from Izvestiya Akademii Nauk SSSR. Mekhanika Zhidkosti i Gaza, No. 2, pp. 27–31, March–April, 1973. |
