Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Interaction of two vortices in a flued with lower stagnation pressure

Author: Lu Ting
Journal: Quart. Appl. Math. 34 (1977), 353-363
DOI: https://doi.org/10.1090/qam/99651
MathSciNet review: QAM99651
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Abstract: The flow field induced by two point vortices of strength $ \Gamma $ at a distance $ 2h$ apart in a quiescent field with lower stagnation pressure is investigated. The flow field around the vortices is bounded by a free streamline with constant velocity $ U$ determined by the difference in the stagnation pressures. For the parameter $ \Lambda = 2\pi hU/\Gamma > 1$, the flow field around each vortex is isolated from the other and is bounded by a circular free streamline of radius $ \Gamma /\left( {2\pi U} \right)$. When $ \Lambda = 1$, the two circular free streamlines just touch each other. When $ \Lambda < 1$ the two flows merge and they are enclosed inside a single convex free streamline. Analytical solutions are presented for the merged flow field and the free streamline for the entire range of the parameter $ \Lambda $.

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DOI: https://doi.org/10.1090/qam/99651
Article copyright: © Copyright 1977 American Mathematical Society

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