On the asymptotic matching procedure predicting the formation number

A detailed review of the asymptotic matching procedures predicting formation number vortex rings is presented. The original studies Mohseni and Gharib [“A model for universal timescale ring formation,” Phys. Fluids 10(10), 2436–2438 (1998).], Shusser new inviscid rings,” in 30th AIAA Fluid Dynamical Conference (1999).], Linden Turner [“The ‘optimal’ rings, efficiency propulsion devices,” J. Mech. Fluids, 427, 61–72 (2001).] are applied to extended slug-flow orifice starting jets Kaplanski isolated rings. predicted 3.5 modified non-dimensional time frame found when closure assumption terms translational speed chosen, which consistent with experimental evidence. In addition, particle image velocimetry was performed assess validity assumptions Gharib. First, it further demonstrated that provides an appropriate scaling kinematics orifice-generated Second, measurements provide support method rather than This by data extracted from literature. To summarize, order predict number, recommended use along