Journal
JOURNAL OF FLUID MECHANICS
Volume 908, Issue -, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2020.966
Keywords
vortex dynamics
Categories
Funding
- NSF [DMS-1743920, DMS-1522675, CBET-1706934]
- Department of Mathematics at the University of California, Irvine
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Equilibrium solutions for hollow vortices in straining flow in a corner are obtained by solving a free-boundary problem. The solutions depend on the corner angle and on the non-dimensional ratio of strain to circulation, resulting in a two-parameter family of solutions.
Equilibrium solutions for hollow vortices in straining flow in a corner are obtained by solving a free-boundary problem. Conformal maps from a canonical doubly connected annular domain to the physical plane combining the Schottky-Klein prime function with an appropriate algebraic map lead to a problem similar to Pocklington's propagating hollow dipole. The result is a two-parameter family of solutions depending on the corner angle and on the non-dimensional ratio of strain to circulation.
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