@MISC{Horváth00shedding, author = {V. K. Horváth and J. R. Cressman and W. I. Goldburg and X. L. Wu}, title = {shedding}, year = {2000} }
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Abstract
Hysteresis has been observed in a study of the transition between laminar flow and vortex shedding in a quasi-two dimensional system. The system is a vertical, rapidly flowing soap film which is penetrated by a rod oriented perpendicular to the film plane. Our experiments show that the transition from laminar flow to a periodic Kármán vortex street can be hysteretic, i.e. vortices can survive at velocities lower than the velocity needed to generate them. Typeset using REVTEX 1 Pattern forming fluid flow is often difficult to understand even at quite modest velocities. A widely studied example is the chain of vortices generated downstream from a rod placed in a uniform flow, with the axis of the rod oriented perpendicular to the flow direction. In a pioneering study of this problem, Kármán analyzed the stability of this vortex street [1]. His starting point was the assumption that the flow is two dimensional, i.e., no velocity variations are generated along the rod axis. He was concerned only with the stability of