Certain features of similarity solutions for flows in viscous vortex cores
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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.
KeywordsVortex Similarity Solution Vortex Core Vortex Breakdown Circumferential Velocity
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