Vortex ring models / Ionut Danaila, Felix Kaplanski, Sergei S. Sazhin.
2021
QA925
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Details
Title
Vortex ring models / Ionut Danaila, Felix Kaplanski, Sergei S. Sazhin.
Author
Danaila, Ionut, author.
ISBN
9783030681500 (electronic bk.)
3030681505 (electronic bk.)
9783030681494
3030681491
3030681505 (electronic bk.)
9783030681494
3030681491
Published
Cham : Springer, [2021]
Language
English
Description
1 online resource (xv, 197 pages) : illustrations (some color)
Item Number
10.1007/978-3-030-68150-0 doi
Call Number
QA925
Dewey Decimal Classification
532/.0595
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 22, 2021).
Series
Mathematical engineering. 2192-4732
Available in Other Form
Vortex ring models.
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Table of Contents
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.
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.