Vortex Dynamics. Cambridge Monographs on Mechanics

  • ID: 2128630
  • Book
  • 328 Pages
  • Cambridge University Press
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The discovery of coherent structures in turbulence has fostered the hope that the study of vortices will lead to models and an understanding of turbulent flow, thereby solving or at least making less mysterious one of the great unsolved problems of classical physics. Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. The emphasis in this monograph is on the classical theory of inviscid incompressible fluids containing finite regions of vorticity. The effects of viscosity, compressibility, inhomogeneity and stratification are enormously important in many fields of application, from hypersonic flight to global environmental fluid mechanics. However, this volume focuses on those aspects of fluid motion which are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.
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1. Fundamental properties of vorticity;
2. Singular distributions of vorticity;
3. Vortex momentum;
4. Motion with surfaces;
5. Some applications;
6. Creation of vorticity;
7. Dynamics of line vortices in two-dimensional flow;
8. Vortex sheets in two dimensions;
9. Dynamics of two-dimensional vortex patches;
10. Axisymmetric vortex rings;
11. Dynamics of vortex filaments;
12. Three-dimensional vortex instability;
13. Effects of viscosity;
14. Miscellaneous topics.
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P. G. Saffman California Institute of Technology.
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