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Vortex Ring Models

By: Ionut Danaila,Felix Kaplanski,Sergei S. Sazhin

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Vortex Ring Models

By: Ionut Danaila,Felix Kaplanski,Sergei S. Sazhin

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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Page Count

206

Publisher

Springer Nature

Published Date

ISBN 10

3030681505

ISBN 13

9783030681500

Vortex Ring Models

By: Ionut Danaila,Felix Kaplanski,Sergei S. Sazhin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Vortex Ring Models

By: Ionut Danaila,Felix Kaplanski,Sergei S. Sazhin

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

206

Publisher

Springer Nature

Published Date

ISBN 10

3030681505

ISBN 13

9783030681500