The decision of the General Assembly of the International Union of Theoretical and Applied Mechanics to organize a Symposium on Dynamics of Slender Vortices was greeted with great enthusiasm. The acceptance of the proposal, forwarded by the Deutsches Komitee fiir Mechanik (DEKOMECH) signalized, that there was a need for discussing the topic chosen in the frame the IUTAM Symposia offer. Also the location of the symposium was suitably chosen: It was decided to hold the symposium at the RWTH Aachen, where, years ago, Theodore von Karman had worked on problems related to those to be discussed now anew. It was clear from the beginning of the planning, that the symposium could only be held in the von Karman-Auditorium ofthe Rheinisch-Westfalische Technische Hochschule Aachen, a building named after him. The symposium was jointly organized by the editors of this volume, strongly supported by the local organizing committee. The invitations of the scientific committee brought together scientists actively engaged in research on the dynamics of slender vortices. It was the aim of the committee to have the state of the art summarized and also to have the latest results of specific problems investigated communicated to the participants of the symposium. The topics chosen were asymptotic theories, numerical methods, vor tices in shear layers, interaction of vortices, vortex breakdown, vortex sound, and aircraft and helicopter vortices.

Autorentext
Prof. em. Prof. h.c. Egon Krause war Direktor am Aerodynamischen Institut der RWTH Aachen und lehrte hier Strömungslehre.

Klappentext

This text records the Proceedings of the IUTAM Symposium held in Aachen in 1997. It reviews theories based on asymptotic expansions and gives an insight into new computational methods. Some applications of these methods demonstrate their capability, for example the analysis of core structures with axial variation, the description of the interaction of filaments with a solid body and of sound generation by vortex rings, the theoretical approach to the reduction of drag by manipulating vortex structures in shear layers, the numerical simulation of merging vortex rings and of bubble-type vortex breakdown in a tube, and investigations of vortex flows in aircraft and helicopter applications. The articles comprise a wide variety of fundamental investigations and of advanced engineering applications. The book summarizes the state of the art and also communicates the latest results of specific flow problems. It addresses the large readership experienced in the field of vortex dynamics.

Inhalt
Session 1: Asymptotic Theories.- 1. Asymptotic Theory of Slender Vortex Filaments Old and New.- 2. Motion of a Thin Vortex Ring in a Viscous Fluid: Higher-Order Asymptotics.- 3. Recent Development in the Asymptotic Theory of Vortex Breakdown.- 4. The Complete First Order Expansion of a Slender Vortex Ring.- 5. Self-Induced Motion of Helical Vortices.- Session 2: Numerical Methods.- 6. Coherent Structure Eduction in Wavelet-Forced Two-Dimensional Turbulent Flows.- 7. Optimized Vortex Element Schemes for Slender Vortex Simulations.- 8. A New Approach to the Modeling Viscous Diffusion in Vortex Element Methods.- 9. Simulation of Vortex Ring Interaction.- 10. Large-Eddy Simulations of Longitudinal Vortices in Shear Flows.- 11. Numerical Simulation of Nonlinear Interactions in Subsonic and Supersonic Free Shear Layers.- 12. Core Dynamics in Vortex Pairs and Rings.- Session 3: Vortices in Shear Layers.- 13. Dynamics of Slender Vortices Near the Wall in a Turbulent Boundary Layer.- 14. Vorticity Dynamics Around a Straight Vortex Tube in a Simple Shear Flow.- 15. Genesis of Longitudinal Vortices in Near-Wall Turbulence.- 16. Theory of Non-Axisymmetric Burgers Vortex with Arbitrary Reynolds Number.- Session 4: Interaction of Vortices.- 17. Interaction of Two Vortex Tubes and the Singularity Formation.- 18. Non-uniqueness and Instabilities of Two-Dimensional Vortex Flows in Two-Sided Lid-Driven Cavities.- 19. Long-Wavelength Instability and Reconnection of a Vortex Pair.- 20. Stability of Stretched Vortices in a Strain Field.- 21. The Influence of the Swirl Velocity Ratio on the Nature of the dominant helical Structures in a Swirling Jet Model.- 22. Theory of Helical Vortices.- Session 5: Vortex Breakdown.- 23. Instabilities and Vortex Breakdown in Swirling Jets and Wakes.-24. Turbulent Vortex Breakdown: Experiments in Tubes at high Reynolds Numbers.- 25. Vortex Breakdown as a Catastrophe.- 26. Turbulent Vortex Breakdown: A Numerical Study.- 27. Breakdown of Spinning Tube Flows.- 28. Review of the Aachen Work on Vortex Breakdown.- Session 6: Vortex Sound.- 29. Sound Generation by Interactions of Two Vortex Rings.- 30. Acoustic Sound Generated by Collision of Two Vortex Rings.- 31. Noise Emission due to Slender Vortex Solid Body Interactions.- 32. Multiple Scattering of Acoustic Waves by many Slender Vortices.- 33. Vortex Dynamics in Nonuniform Compressible Flow.- Session 7: Aircraft and Helicopter Vortices.- 34. Effects of Coupled and Uncoupled Bending Torsion-Modes on Twin-Tail Buffet Response.- 35. Interaction of Wing Vortices and Plumes in Supersonic Flight.- 36. Dynamics of the Trailing Vortices near the Ground.- 37. Modifications of the Tip Vortex Structure from a Hovering Rotor Using Spoilers.- 38. Measurements of Rotor Tip Vortices Using Laser Doppler Velocimetry.