Overview
- Presents the first systematic mathematical descriptions of the new viscous vortex ring models and their verifications
- Maintains a close link between the mathematical and engineering application of the models
- Provides a clear description of the models at a level acceptable to the engineering community
Part of the book series: Mathematical Engineering (MATHENGIN)
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Table of contents (7 chapters)
Keywords
About this book
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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Bibliographic Information
Book Title: Vortex Ring Models
Authors: Ionut Danaila, Felix Kaplanski, Sergei S. Sazhin
Series Title: Mathematical Engineering
DOI: https://doi.org/10.1007/978-3-030-68150-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-68149-4Published: 17 April 2021
Softcover ISBN: 978-3-030-68152-4Published: 17 April 2022
eBook ISBN: 978-3-030-68150-0Published: 16 April 2021
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 1
Number of Pages: XV, 197
Number of Illustrations: 10 b/w illustrations, 52 illustrations in colour
Topics: Engineering Mathematics, Engineering Fluid Dynamics, Fluid- and Aerodynamics, Soft and Granular Matter, Complex Fluids and Microfluidics, Mathematical Modeling and Industrial Mathematics