Abstract
An exegesis of a novel mechanism leading to vortex splitting and subsequent shedding that is valid for two-dimensional incompressible, inviscid or viscous, and external or internal or wall-bounded flows, is detailed in this research. The mechanism, termed the vortex shedding mechanism (VSM) is simple and intuitive, requiring only two coincident conditions in the flow: (1) the existence of a location with zero momentum and (2) the presence of a net force having a positive divergence. Numerical solutions of several model problems illustrate causality of the VSM. Moreover, the VSM criteria is proved to be a necessary and sufficient condition for a vortex splitting event in any two-dimensional, incompressible flow. The VSM is shown to exist in several canonical problems including the external flow past a circular cylinder. Suppression of the von Kármán vortex street is demonstrated for Reynolds numbers of 100 and 400 by mitigating the VSM.
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Acknowledgments
Research reported in this publication was supported by the National Institute of Diabetes and Digestive and Kidney Diseases (NIDDK) of the National Institutes of Health under Award Number R01DK090769. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health. In addition, the authors want to thank Dr. Aleksandr V. Obabko and Professor Sudhakar E. Nair for insightful discussions that improved this work.
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Communicated by Dr. Jeff D. Eldredge.
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Boghosian, M.E., Cassel, K.W. On the origins of vortex shedding in two-dimensional incompressible flows. Theor. Comput. Fluid Dyn. 30, 511–527 (2016). https://doi.org/10.1007/s00162-016-0395-8
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DOI: https://doi.org/10.1007/s00162-016-0395-8