Hollow vortex in a corner. (7th December 2020)

• Record Type: Journal Article
• Authors: Christopher, T. W.; Llewellyn Smith, Stefan G.
• Is Part Of: Journal of fluid mechanics. Volume 908(2021)
• Publication Date: 2020-12-07
• Subjects: vortex dynamics; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2020.966
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract: Abstract : 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.