Interactions between vortex-induced vibration of a spring-supported cylinder and fluid flow in a narrow channel

This paper studies the nonlinear interactions between vortex-induced vibration of a spring-supported circular cylinder and the unsteady fluid flow in a narrow channel. The analytical model consists of two-dimensional incompressible viscous flow in a narrow channel at low Reynolds number, and the spring-supported cylinder that can move perpendicular to the wall of the channel. The marker-and-cell (MAC) method is used to calculate numerically the simultaneous equations governing the interaction between the motion of the cylinder and the unsteady fluid flow. Furthermore the numerical results are confirmed by experiments presented herein.