2021  Book
Vortex Ring Models
About this book
This book offers a guide to understanding models of vortex rings, starting from classical ones (circular vortex filament, Hill and NorburyFraenkel 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 twophase vortex ringlike 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.
 Title
 Vortex Ring Models
 Print ISBN
 9783030681494
 Electronic ISBN
 9783030681500
 Copyright Year
 2021
 DOI

https://doi.org/10.1007/9783030681500
 Authors:

Prof. Dr. Ionut Danaila
Prof. Dr. Felix Kaplanski
Prof. Sergei S. Sazhin
Image Credits
inadhesives, MKVS, Hellmich GmbH/© Hellmich GmbH, Krahn Ceramics/© Krahn Ceramics