A Unified Strouhal-Reynolds Number Relationship for Laminar Vortex Streets Generated by Different Shaped Obstacles

Abstract

A new Strouhal-Reynolds number relationship, $St=1/(A+B/Re)$, has been recently proposed based on observations of laminar vortex shedding from circular cylinders in a flowing soap film. Since the new $St$-$Re$ relation was derived from a general physical consideration, it raises the possibility that it may be applicable to vortex shedding from bodies other than circular ones. The work presented herein provides experimental evidence that this is the case. Our measurements also show that in the asymptotic limit ($Re\to \infty$), $S{t}_{\infty }=1/A\simeq 0.21$ is constant independent of rod shapes, leaving $B$ the only parameter that is shape dependent.

12 pages, 4 figures, post-accpetance submission of the early version of preprint for publicity