Vortex Ring Models

 
 
Springer (Verlag)
  • erscheint ca. am 11. April 2021
 
  • Buch
  • |
  • Hardcover
  • |
  • XII, 180 Seiten
978-3-030-68149-4 (ISBN)
 

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. Unconfined and confined viscous vortex rings are described by closed formulae for vorticity, stream function, translational velocity, energy, impulse and circulation. Models are applied to predict the formation number of optimal vortex rings and to describe two-phase vortex ring-like structures generated in internal combustion engines. The book provides a detailed presentation of analytical developments of models, backed up by illustrations and systematic comparisons with results of direct numerical simulations. The book is useful for graduate students in applied mathematics, engineering and physical sciences. It is a useful reference for researchers and practising engineers interested in modelling flows with vortex rings.

1st ed. 2021
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 52 farbige Abbildungen, 9 s/w Abbildungen
  • |
  • 52 Illustrations, color; 9 Illustrations, black and white; XII, 180 p. 61 illus., 52 illus. in color.
  • Höhe: 23.5 cm
  • |
  • Breite: 15.5 cm
978-3-030-68149-4 (9783030681494)
10.1007/978-3-030-68150-0
weitere Ausgaben werden ermittelt
The vortex ring problem.- Steady inviscid vortex rings.- Viscous vortex rings.- Viscous vortex rings with elliptical cores.- Con?ned vortex rings.- Formation number of vortex rings.- Applications of the models.
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. Unconfined and confined viscous vortex rings are described by closed formulae for vorticity, stream function, translational velocity, energy, impulse and circulation. Models are applied to predict the formation number of optimal vortex rings and to describe two-phase vortex ring-like structures generated in internal combustion engines. The book provides a detailed presentation of analytical developments of models, backed up by illustrations and systematic comparisons with results of direct numerical simulations. The book is useful for graduate students in applied mathematics, engineering and physical sciences. It is a useful reference for researchers and practising engineers interested in modelling flows with vortex rings.

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