Abstract
Compared to isolated columnar vortex models with infinitely extended axes, some of which have certain inherently unrealistic properties, vortex rings of finite extent are a more perfect form of realistic vortical structures.
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Notes
- 1.
For more general inviscid and steady axisymmetric vortex ring with \(v \ne 0\), the flow is still generalized Beltramian since \({\varvec{u}}\times {\varvec{\omega }}=\nabla H\). But in this case the flow is governed by the more general Bragg-Hawthorne equation (6.1.16), along with the three component expressions for \({\varvec{\omega }}\) given by (6.1.4).
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© 2015 Springer-Verlag Berlin Heidelberg
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Wu, JZ., Ma, HY., Zhou, MD. (2015). Vortex Rings. In: Vortical Flows. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47061-9_7
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DOI: https://doi.org/10.1007/978-3-662-47061-9_7
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Online ISBN: 978-3-662-47061-9
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