This book offers a guide to understanding models of vortex rings, starting from classical ones (circular vortex filament, Hill and Norbury-Fraenkel inviscid models) to very recent models incorporating viscous effects and realistic shapes of the vortex core.
“The book can be recommended to researchers with an interest in vortex rings or axisymmetric flows. The presentation is self-contained, with all of the mathematics required given in the text or appendices so that workers new to the field can use the book as a starting point for their research. … The connection between mathematical, physical, and engineering applications is well motivated and should allow a reader to apply the presented methods to their problems quite readily.” (Michael J. Carley, Mathematical Reviews, September, 2022)
Innehållsförteckning
The vortex ring problem.- Steady inviscid vortex rings.- Viscous vortex rings.- Viscous vortex rings with elliptical cores.- Confined vortex rings.- Formation number of vortex rings.- Applications of the models.