Vorticity addition method
- Authors: Sizykh G.B.1
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Affiliations:
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 51, No 3 (2016)
- Pages: 321-326
- Section: Article
- URL: https://journals.rcsi.science/0015-4628/article/view/155184
- DOI: https://doi.org/10.1134/S0015462816030030
- ID: 155184
Cite item
Abstract
It is shown that in the general case it is not possible to propose the Lagrangian viewpoint on the vorticity evolution, which would be unique for the entire flow, using the existing analogs of the Helmholtz theorems. This is related to the fact that, as distinct from the Helmholtz theorem oneself, these analogs are valid only for nonzero vorticity zones. New analogs of the Helmholtz theorems are proposed for the general case of flows (from incompressible fluid to viscous gas). They describe the vorticity evolution at all the points including the points of nonzero vorticity.
About the authors
G. B. Sizykh
Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: o1o2o3@yandex.ru
Russian Federation, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700
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