Abstract

This paper provides numerical solutions of vorticity- velocity equations for incompressible viscous flows around a single or double circular cylinder revolving in a closed circular region. We perform the computation for three different motions of the circular cylinder; nutating motion, rotating motion and rolling motion. The computed results show that the center of rotating flow is closer to the geometrical center in the closed region in the order of rolling, nutating and rotating motions for the case of a single circular cylinder, and the streamlines are more deformed around the geometrical center in the aforementioned order for the case of a double circular cylinder. Furthermore, it is shown that the vorticity contours for a single circular cylinder are similar to those for a double circular cylinder in the gap between a circular cylinder and the wall of the closed region.

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