Vortex Rings
This book presents a comprehensive coverage of the wide field of vortex rings. The book presents the results of systematic experimental investigations, theoretical foundation, as well as the practical applications of vortex rings, such as the extinct
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D.G. Akhmetov
Vortex Rings
ABC
D.G. Akhmetov Lavrentiev Institute of Hydrodynamics 15 Lavrentiev prosp. Novosibirsk, 630090 Russia E-mail: [email protected]
ISBN 978-3-642-05015-2
e-ISBN 978-3-642-05016-9
DOI 10.1007/978-3-642-05016-9 Library of Congress Control Number: 2009937143 c 2009 Springer-Verlag Berlin Heidelberg
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Abstract
Vortex Rings Akhmetov D.G.
This monograph includes results of research into the regularities of formation and motion of one of the most interesting types of liquid and gas vortex motions — vortex rings. In early period the concept of vortex rings was based only on results of theoretical studies within the frames of the ideal liquid model and on qualitative observations of vortex ring motion. The emphasis in this book is placed on the description of recent results of experimental investigations of structure, formation laws and motion of real vortex rings. A model of vortex ring formation is presented and formulas are obtained for calculation of parameters of a broad family of vortex rings forming during outflow of submerged jets. A theoretical model has been first proposed for the motion and evolution of turbulent vortex rings in an unbounded medium are outlined. A radically new method is developed for the practical application of vortex rings for solving an important technological problem, extinguishing powerful fires on damaged gushing gas and oil wells. This book is intended for researchers and engineers interested in vortex flows and their applications as well as for lecturers, students and postgraduate students of fluid mechanics.
Contents
Contents Introduction………………………………………………………………………1 1
Theoretical Models of Vortex Rings……………………………………….5 1.1 Vortex Rings............................................................................................5 1.2 Equations of Motion. Vorticity, Circulation, and Stream Function .........7 1.3 Vorticity Distribution and Velocity Field of a Vortex Ring ....................9 1.4 Integral Characteristics of a Vortex Ring ..
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