Theory of concentrated vortices: an introduction

S.V. Alekseenko, P.A. Kuibin, V.L. Okulov3540733752, 9783540733751, 9783540733768

This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation. Achievements in the fields of stability analysis, waves on vortices and vortex breakdown are also presented.

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Table of contents :
cover……Page 1
Preface……Page 4
Contents……Page 6
Introduction……Page 12
1 Equations and laws of vortex motion……Page 21
2 Vortex filaments……Page 81
3 Models of vortex structures……Page 123
4 Stability and waves on columnar vortices……Page 167
5 Dynamics of vortex filaments……Page 247
6 Dynamics of two-dimensional vortex structures……Page 321
7 Experimental observation of concentrated vortices in vortex……Page 391
References……Page 479
Index……Page 497