IUTAM Symposium on Dynamics of Slender Vortices: Proceedings of the IUTAM Symposium held in Aachen, Germany, 31 August – 3 September 1997

473 Pages·1998·23.097 MB·English

by  L. Ting, R. Klein, O. M. Knio (auth.), E. Krause, K. Gersten (eds.)

IUTAM SYMPOSIUM ON DYNAMICS OF SLENDER VORTICES
FLUID MECHANICS AND ITS APPLICATIONS
Volume 44
Series Editor: R. MOREAU
MADY/JAM
Ecole Nationale Superieure d' Hydraulique de Grenoble
Boite Postale 95
38402 Saint Martin d' Heres Cedex, France
Aims and Scope of the Series
The purpose of this series is to focus on subjects in which fluid mechanics plays a
fundamental role.
As well as the more traditional applications of aeronautics, hydraulics, heat and
mass transfer etc., books will be published dealing with topics which are currently
in a state of rapid development, such as turbulence, suspensions and multiphase
fluids, super and hypersonic flows and numerical modelling techniques.
It is a widely held view that it is the interdisciplinary subjects that will receive
intense scientific attention, bringing them to the forefront of technological advance
ment. Fluids have the ability to transport matter and its properties as well as
transmit force, therefore fluid mechanics is a subject that is particulary open to
cross fertilisation with other sciences and disciplines of engineering. The subject of
fluid mechanics will be highly relevant in domains such as chemical, metallurgical,
biological and ecological engineering. This series is particularly open to such new
multidisciplinary domains.
The median level of presentation is the first year graduate student. Some texts are
monographs defining the current state of a field; others are accessible to final year
undergraduates; but essentially the emphasis is on readability and clarity.
For a list ofr elated mechanics titles, see final pages.
IUTAM Symposium on
Dynamics of
Slender Vortices
Proceedings of the IUTAM Symposium
held in Aachen, Germany,
31 August - 3 September 1997
Edited by
E. KRAUSE
Aerodynamisches Institut,
Rheinisch-Westfiilische Technische Hochschule Aachen,
Germany
and
K.GERSTEN
Institut fiir Thermo- und Fluiddynamik,
Ruhr-Universitiit Bochum,
Germany
SPRINGER SCIENCE+BUSINESS MEDIA, B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-94-010-6117-9 ISBN 978-94-011-5042-2 (e Book)
DOI 10.1007/978-94-011-5042-2
Printed on acid-free paper
Coverpicture:
Visualization of the numerical solution of vortex breakdown for Re = 3220: Vortex lines and
color-coded pressure distribution by M. Weimer in Diss. Aerodynamisches Institut, RWTH
Aachen, 1997
All Rights Reserved
© 1998 Springer Science+B usiness Media Dordrecht
Originally published by Kluwer Academic Publishers in 1998
Softcover reprint of the hardcover 1st edition 1998
No part of the material protected by this copyright notice may be reproduced or
utilized in any form or by any means, electronic or mechanical,
including photocopying, recording or by any information storage and
retrieval system, without written permission from the copyright owner
'E3
i~
Dr. Akio Fukuyu, Professor of Mathematics, tI997
Dean, School of Science and Engineering, Tokyo Denki University
Scientific Committee
E. Krause, Chairman
K. Gersten, Co-Chairman
Hussain, USA
K. Kuwahara, Japan
M. Lesieur, France
C.-H. Liu, USA
H. K. Moffatt, UK
L. Ting, USA
Local Organizing Committee
E. Krause, Germany
K. Gersten, Germany
W. Limberg, Germany
W. Althaus, Germany
L. Ting, USA
Sponsors of Symposium
Deutsche Forschungsgemeinschaft
Ministerium flir Wissenschaft und Forschung des Landes Nordrhein-Westfalen
Rheinisch - Westfalische Technische Hochschule Aachen
Stadt Aachen
International Union of Theoretical and Applied Mechanics
United States Air Force European Office of Aerospace Research and Development
Kluwer academic publishers
TABLE OF CONTENTS
Preface.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. .xiii
Participants. ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. .xv
Contributors .................................................................x xi
Session 1: Asymptotic Theories
1. Asymptotic Theory of Slender Vortex Filaments - Old and New
Ting, L., Klein, R., Knio, O. M ........................................... 3
2. Motion of a Thin Vortex Ring in a Viscous Fluid: Higher-Order Asymptotics
Fukumoto, Y., Moffatt, H. K ............................................ 21
3. Recent Development in the Asymptotic Theory of Vortex Breakdown
Schmitz, M., Klein, R. . ................................................. 35
4. The Complete First Order Expansion of a Slender Vortex Ring
Margerit, D. . ........................................................... 45
5. Self-Induced Motion of Helical Vortices
Kuibin, P. A., Okulov, V. L ............................................. 55
Session 2: Numerical Methods
6. Coherent Structure Eduction in Wavelet-Forced Two-Dimensional Turbulent
Flows
Farge, M., Schneider, K., Kevlahan, N.-R ................................. 65
7. Optimized Vortex Element Schemes for Slender Vortex Simulations
Knio, O. M., Klein, R. .................................................. 85
8. A New Approach to the Modeling Viscous Diffusion in Vortex Element
Methods
Scobelev, B. Yu, Shmagunov, O. A ....................................... 95
9. Simulation of Vortex Ring Interaction
Meinke, M., Hofhaus, J., Abdelfattah, A ................................ 105
10. Large-Eddy Simulations of Longitudinal Vortices in Shear Flows
Comte. P., Lesieur, M .................................................. 117
11. Numerical Simulation of Nonlinear Interactions in Subsonic and Supersonic
Free Shear Layers
Kudryavtsev, A. N., Khotyanovsky, D. V ............................... 133
12. Core Dynamics in Vortex Pairs and Rings
Nitsche, M. . ....................................................... '. ... 143
Session 3: Vortices in Shear Layers
13. Dynamics of Slender Vortices Near the Wall in a Turbulent Boundary Layer
Hussain, F., Schoppa, W ............................................... 155
x Table of Contents
14. Vorticity Dynamics Around a Straight Vortex Tube in a Simple Shear Flow
Kida, S., Kawahara, G., Tanaka, M., Yanase, S ......................... 173
15. Genesis of Longitudinal Vortices in Near-Wall Turbulence
Schoppa, W., Hussain, F ............................................... 183
16. Theory of Non-Axisymmetric Burgers Vortex with Arbitrary Re~rnolds
Number
Bajer, K., Moffatt, H. K ................................................. 193
Session 4: Interaction of Vortices
17. Interaction of Two Vortex Tubes and the Singularity Formation
Fukuyu, A. . ........................................................... 205
18. Non-uniqueness and Instabilities of Two-Dimensional Vortex Flows in Two
Sided Lid-Driven Cavities
Blohm, C., Kuhlmann, H. C., Wanschura, M., Rath, H. J ............... 215
19. Long-Wavelength Instability and Reconnection of a Vortex Pair
Leweke, T., Williamson, C.H.K ......................................... 225
20. Stability of Stretched Vortices in a Strain Field
Le Dizes, S., Eloy, C .................................................... 235
21. The Influence of the Swirl Velocity Ratio on the Nature of the dominant
helical Structures in a Swirling Jet Model
Martin, J. E., Meiburg, E.M ........................................... 245
22. Theory of Helical Vortices
Alekseenko, S. V., Kuibin, P. A., Okulov, V. 1., Shtork, S. I. ........... 255
Session 5: Vortex Breakdown
23. Instabilities and Vortex Breakdown in Swirling Jets and Wakes
Billant, P., Chomaz, J. M., Delbende, I., Huerre, P., Loiseleux, T.,
Olendraru, C., Rossi, M., SelIier, A., '" ................................. 267
24. Turbulent Vortex Breakdown: Experiments in Tubes at high Reynolds
Numbers
Sarpkaya, T., Novak, F ................................................. 287
25. Vortex Breakdown as a Catastrophe
Shtern, V., Hussain, F .................................................. 297
26. Turbulent Vortex Breakdown: A Numerical Study
Spall, R. E., Gatski, T. B. ............................................. 307
27. Breakdown of Spinning Tube Flows
Brucker, C.H. ........................................................... 321
28. Review of the Aachen Work on Vortex Breakdown
Althaus, W., Weimer, M ............................................... 331
Table of Contents Xl
Session 6: Vortex Sound
29. Sound Generation by Interactions of Two Vortex Rings
Ishii, K., Maru, H., Adachi, S .......................................... 347
30. Acoustic Sound Generated by Collision of Two Vortex Rings
Inoue, 0., Hattori, Y ................................................... 361
31. Noise Emission due to Slender Vortex Solid Body Interactions
Knio, O. M., Ting, L. . ................................................. 369
32. Multiple Scattering of Acoustic Waves by many Slender Vortices
Baffico, M., Boyer, D., Lund, F ......................................... 379
33. Vortex Dynamics in Nonuniform Compressible Flow
Ehrenfried, K., Meier, G. E. A .......................................... 389
Session 7: Aircraft and Helicopter Vortices
34. Effects of Coupled and Uncoupled Bending Torsion-Modes on Twin-Tail Buffet
Response
Kandil, O. A., Sheta, E. F., Liu, C. H., ................................. 401
35. Interaction of Wing Vortices and Plumes in Supersonic Flight
Sforza, P. M. . .......................................................... 415
36. Dynamics of the Thailing Vortices near the Ground
Kornev, N., Theshkov, V. K., Reichert, G ............................. .425
37. Modifications of the Tip Vortex Structure from a Hovering Rotor Using
Spoilers
Russell, J. W., Sankar, L. N., Tung, C.
38. Measurements of Rotor Tip Vortices Using Laser Doppler Velocimetry
Leishman, J. G ......................................................... 449
PREFACE
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.
The presentations on the first two topics focussed on explaining the present
capability of asymptotic theories and numerical methods for analyzing flows con
taining slender vortices. These presentations were complemented by reports on
new developments and specific applications of various methods. For the third topic
recent results of investigations of the dynamics of slender vortices in shear layers
were presented. Among other interesting findings the possibility of substantial drag
reduction in turbulent boundary layers by manipulating the vortex structures in
them was discussed. Of equal interest were the presentations on vortex interac
tion and breakdown. Also the problem of sound generation by slender vortices
was vividly discussed. Finally the presentations of the last topic gave insight into
problems related to trailing vortices of aircraft and to helicopter vortices. The sym
posium clearly showed the many aspects of the dynamics of slender vortices and
the progress in the various areas. It also pointed out future research and results
to be expected. There were strong interactions between the participants working
on fundamental problems and those focussing on applied research.
About 60 scientists including a group of doctoral students from the RWTH
Aachen followed the invitation of the scientific committee. The participants came
X\1l