About transverse vortex rings that can be used as elements of turbulence
In: Bulletin de la Classe des Sciences de l'Académie Royale de Sciences, des Lettres et des Beaux-Arts de Belgique, Band 67, Heft 1, S. 585-616
Vorticity and velocity distributions of several vortex rings that can principally be used as elements of turbulence are obtained and compared. The comparison emphasis is mainly given to the viscous type of D- and Q-vorticies obtained by Lee and vortex obtained by Chou & Huang. Because of the analytical complexity of Chou & Huang vortex a simpler and more compact form of solution for this latter is attained which appears to be the same as the Q-vortex. The analytical considerations compared to the solution of Chou & Huang are shown in Appendix A. The longitudinal and transversal velocity correlations of D-vortex and Q-vortex are also calculated and compared with that of Chou & Huang vortex and also with the experimental results of Batchelor and Townsend.