Falling motion of a circular cylinder interacting dynamically with a point vortex |
| |
Authors: | Sergei V Sokolov Sergei M Ramodanov |
| |
Institution: | 16223. Institute of Computer Science, Udmurt State University, 426034, Russia, Izhevsk, Universitetskaya str., 1
|
| |
Abstract: | The dynamical behavior of a heavy circular cylinder and a point vortex in an unbounded volume of ideal liquid is considered. The liquid is assumed to be irrotational and at rest at infinity. The circulation about the cylinder is different from zero. The governing equations are Hamiltonian and admit an evident autonomous integral of motion — the horizontal component of the linear momentum. Using the integral we reduce the order and thereby obtain a system with two degrees of freedom. The stability of equilibrium solutions is investigated and some remarkable types of partial solutions of the system are presented. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|