Abstract
A class of steady similarity solutions of the equations for viscous vortex cores which correspond to external inviscid similarity solutions with a power-law variation of the circumferential velocityv-r −m near the rotation axis is considered. It is found that if the Bernoulli function in external flow is constant, then these solutions will exist only on a certain range of the indexm of the exponential. For eachm on this range there are two solutions.
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Additional information
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 38–43, January–February, 1998.
The work was financially supported by the Russian Foundation for Fundamental Research (project No. 95-01-00483).
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Buldakov, E.V., Egorov, I.V. & Sychev, V.V. Certain features of similarity solutions for flows in viscous vortex cores. Fluid Dyn 33, 31–35 (1998). https://doi.org/10.1007/BF02698158
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DOI: https://doi.org/10.1007/BF02698158