Abstract
The instability characteristics of an out cylindrical shell subjected to an annular flow, where the fluid is flowing through the annulus between the inner shell and the outer shell, are investigated based on the zero-level contour method and the travelling wave solutions. The inviscid fluid-dynamic forces, related to shell vibrations, are determined by the potential flow theory. The time-mean Navier-Stokes equations are utilized to obtained steady viscous forces based on the fully developed turbulent flow theory. The Flügge's thin shell theory is used for shell motions. Adopting the zero-level contour method and the Galerkin's method, the behaviors of losing stability of the flow-shell system are given and physical reasons for the instability of the system are explained. Detailed studies are performed in order to elucidate quantificationally the effects of pre-loads related to the steady viscous forces, geometry parameters on the loss of stability. Especially, the influence of the swirl number on the instability characteristics of the system is discussed.
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