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Vortex Ring Models [electronic resource] / by Ionut Danaila, Felix Kaplanski, Sergei S. Sazhin.

By: Danaila, Ionut [author.].
Contributor(s): Kaplanski, Felix [author.] | Sazhin, Sergei S [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mathematical Engineering: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2021Edition: 1st ed. 2021.Description: XV, 197 p. 62 illus., 52 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030681500.Subject(s): Engineering mathematics | Fluid mechanics | Continuum mechanics | Soft condensed matter | Mathematical models | Engineering Mathematics | Engineering Fluid Dynamics | Continuum Mechanics | Soft and Granular Matter | Mathematical Modeling and Industrial MathematicsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620.00151 Online resources: Click here to access online
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.
In: Springer Nature eBookSummary: 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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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.

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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