Abstract
A class of similarity solutions of the equations for turbulent vortex cores matching an external inviscid similarity flow with a power law of circumferential velocity variationv-r −m near the rotation axis and constant Bernoulli function is considered. Solutions are found to exist only in a certain range of the indexm of the exponential. For each suchm there are two solutions.
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References
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Additional information
The authors wish to apologise for a mistake which resulted in the figures in this paper corresponding to [1] and those in [1] corresponding to this paper.
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 60–64, May–June, 1998.
The work was financially supported by the Russian Foundation for Basic Research (project No. 95-01-00483).
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Buldakov, E.V., Egorov, I.V. & Sychev, V.V. Properties of similarity solutions for flows in turbulent vortex cores. Fluid Dyn 33, 346–350 (1998). https://doi.org/10.1007/BF02698183
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DOI: https://doi.org/10.1007/BF02698183