Table Of Contentspringer proceedings in physics
101
springer proceedings in physics
79 NonlinearDynamics 91 TheDenseInterstellarMedium
andPatternFormation inGalaxies
inSemiconductorsandDevices Editors:S.Pfalzner,C.Kramer,
Editor:F.-J.Niedernostheide C.Straubmeier,andA.Heithausen
80 ComputerSimulationStudies 92 BeyondtheStandardModel2003
inCondensed-MatterPhysicsVIII Editor:H.V.Klapdor-Kleingrothaus
Editors:D.P.Landau,K.K.Mon,
93 ISSMGE
andH.-B.Schu¨ttler
ExperimentalStudies
81 MaterialsandMeasurements Editor:T.Schanz
inMolecularElectronics
94 ISSMGE
Editors:K.KajimuraandS.Kuroda
NumericalandTheoreticalApproaches
82 ComputerSimulationStudies Editor:T.Schanz
inCondensed-MatterPhysicsIX
95 ComputerSimulationStudies
Editors:D.P.Landau,K.K.Mon,
inCondensed-MatterPhysicsXVI
andH.-B.Schu¨ttler
Editors:D.P.Landau,S.P.Lewis,
83 ComputerSimulationStudies andH.-B.Schu¨ttler
inCondensed-MatterPhysicsX
96 ElectromagneticsinaComplexWorld
Editors:D.P.Landau,K.K.Mon,
Editors:I.M.Pinto,V.Galdi,
andH.-B.Schu¨ttler
andL.B.Felsen
84 ComputerSimulationStudies
97 Fields,Networks,
inCondensed-MatterPhysicsXI
ComputationalMethodsandSystems
Editors:D.P.LandauandH.-B.Schu¨ttler
inModernElectrodynamics
85 ComputerSimulationStudies ATributetoLeopoldB.Felsen
inCondensed-MatterPhysicsXII Editors:P.RusserandM.Mongiardo
Editors:D.P.Landau,S.P.Lewis,
98 ParticlePhysicsandtheUniverse
andH.-B.Schu¨ttler
Proceedingsofthe9thAdriaticMeeting,
86 ComputerSimulationStudies Sept.2003,Dubrovnik
inCondensed-MatterPhysicsXIII Editors:J.Trampetic´andJ.Wess
Editors:D.P.Landau,S.P.Lewis,
99 CosmicExplosions
andH.-B.Schu¨ttler
Onthe10thAnniversaryofSN1993J
87 Proceedings (IAUColloquium192)
ofthe25thInternationalConference Editors:J.M.MarcaideandK.W.Weiler
onthePhysicsofSemiconductors
100 LasersintheConservationofArtworks
Editors:N.MiuraandT.Ando
LACONAVProceedings,
88 StarburstGalaxies Osnabru¨ck,Germany,Sept.15–18,2003
NearandFar Editors:K.Dickmann,C.Fotakis,
Editors:L.TacconiandD.Lutz andJ.F.Asmus
89 ComputerSimulationStudies 101 ProgressinTurbulence
inCondensed-MatterPhysicsXIV Editors:J.Peinke,A.Kittel,S.Barth,
Editors:D.P.Landau,S.P.Lewis, andM.Oberlack
andH.-B.Schu¨ttler
102 AdaptiveOptics
90 ComputerSimulationStudies forIndustryandMedicine
inCondensed-MatterPhysicsXV Proceedings
Editors:D.P.Landau,S.P.Lewis, ofthe4thInternationalWorkshop
andH.-B.Schu¨ttler Editor:U.Wittrock
Volumes50–78arelistedattheendofthebook.
J. Peinke A. Kittel S. Barth M. Oberlack
(Eds.)
Progress in Turbulence
With111Figuresand10Tables
123
ProfessorDr.JoachimPeinke
PDDr.habil.AchimKittel
Dr.StephanBarth
CarlvonOssietzkyUniversita¨t,InstituteofPhysics
Carl-von-Ossietzky-Str.9–11,26129Oldenburg,Germany
ProfessorDr.-Ing.MartinOberlack
TUDarmstadt,Fachbereichfu¨rMechanikundFachbereichBauingenieurwesenundGeoda¨sie
FachgebietStro¨mungsmechanikundHydraulik
Petersenstr.13,64287Darmstadt,Germany
ISSN0930-8989
ISBN3-540-23216-8SpringerBerlinHeidelbergNewYork
LibraryofCongressControlNumber:2004117175
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Preface
Besides turbulence there is hardly any other scientific topic which has been
considered as a prominent scientific challenge for such a long time. Although
turbulenceisbasedonclassicalphysicsandtheformulationofthebasicequa-
tionsseemsreasonablystraightforward,adeepgeneralunderstandingremains
amystery.TopronounceitsimportancetheClayMathematicsInstitute(Cam-
bridge,Massachusetts)hasdefinedturbulenceasoneofthesevenMillennium
problems in Mathematics.
The special interest in turbulence is not only based on it being a difficult
scientificproblembutalsoonitsmeaninginthetechnicalworldandourdaily
life. For example, turbulence has an obvious significance in aeronautics, in
the mixing of chemicals in the pharmaceutical industry and even in the daily
weather forecast.
This broad interdisciplinary interest has in the past lead to an increas-
ing diversification of the research into distinct disciplines. Thus turbulence is
nowadays a topic in mathematics, physics, engineering, geosciences and com-
puter sciences and has lead to different research directions in these fields. In
Physics,e.g.,theconceptsofuniversalityplayacentralrole,whereasthephe-
nomenaofrealflowsituationsarepartiallyneglected.Forappliedengineering
problems the famous k-ε model is often employed, although it is known that
this approach to turbulence describes physical features of several flow situa-
tions incorrectly.
In the last decades turbulence research in the fields of engineering and
physics has developed in parallel with a rather poor transfer of knowledge
between them. To close the gap between engineering and physical sciences
and to improve interchange of knowledge the interdisciplinary turbulence ini-
tiative was founded in 1999. In the framework of this initiative about twenty
projectseachconsistingofacooperationbetweenengineersandphysicistsare
funded by the German science foundation DFG. One important event of the
initiative was to organize an international conference which was held in Bad
Zwischenahn in September 2003. During the days of the conference an enthu-
VI Preface
siasticandstimulatingatmosphereofdiscussionsandinterchangebetweenthe
different disciplines prevailed.
To capture the different aspects and topics of the meeting the organizers
decided to put together a written collection of the contributions and hence
make them more accessible to a larger number of scientists. As the editors
of this book we decided to pool the contributions together under different
headlines to pronounce the different facets of the conference. The topics are
mathematical and other approaches to model turbulence, experimental ob-
servations,anddifferentmethodsofsimulations.Thecontributionsdocument
the considerable progress made in all fields.
We would like to take the chance to thank all authors for their contribu-
tions, the Springer-Verlag, Heidelberg, especially Thomas Ditzinger for his
assistanceandtheDFGforthefinancialsupport.Finallyweareverygrateful
toGeorgeKhujadzefordoingthetediousworkofintegratingallcontributions
and giving the book its optical finish.
Oldenburg and Darmstadt J. Peinke, M. Oberlack,
Summer 2004 A. Kittel and S. Barth,
Contents
Part I Mathematical Methods
Passive Scalar Diffusion as a Damped Wave
Axel Brandenburg, Petri J. Ka¨pyla¨, Amjed Mohammed ............... 3
Extremalizing Vector Fields as Guides Toward Understanding
Properties of Turbulence
F.H. Busse...................................................... 7
Low-Wavenumber Forcing and Turbulent Energy Dissipation
Charles R. Doering, Nikola P. Petrov............................... 11
New Potential Symmetries for a Generalised Inhomogeneus
Nonlinear Diffusion Equation
M.L. Gandarias, S. Saez.......................................... 19
DNS and New Scaling Laws of ZPG Turbulent Boundary
Layer Flow
G. Khujadze, M. Oberlack......................................... 23
Linear Instability of a Slowly Divergent Planar Jet
Polina Landa, Vadim Ushakov, Ju¨rgen Kurths ....................... 27
On How Different Are Genuine and ‘Passive’ Turbulence
Arkady Tsinober ................................................. 31
Upper Bound on the Heat Transport in a Heated From Below
Fluid Layer
Nikolay K. Vitanov............................................... 37
VIII Contents
Part II Scaling Laws and Intermittency
Symmetries and Boundary Layer Profiles for Scalar Fields
Jahanshah Davoudi, Bruno Eckhardt ............................... 43
Energy and Dissipation Balances in Rotating Flows
Bruno Eckhardt, Siegfried Grossmann, Detlef Lohse .................. 47
Turbulent Cascade with Intermittency in View of
Fragmentation Universalities
Mikhael Gorokhovski, Vladimir Saveliev............................. 51
Observational Impact of Surrogacy on the Turbulent Energy
Cascade
Martin Greiner, Jochen Cleve, Jo¨rg Schumacher,
Katepalli R. Sreenivasan ......................................... 55
Conditional Statistics of Velocity Increments in Fully
Developped Turbulence
Antoine Naert ................................................... 59
A Simple Relation Between Longitudinal and Transverse
Increments
Malte Siefert, Joachim Peinke, Rudolf Friedrich ..................... 63
Intermittency Exponent in High-Reynolds Number
Turbulence
Yoshiyuki Tsuji.................................................. 67
Part III Modelling
An Alternative Model for Turbulent Flow and Forced
Convection
Stuart W. Churchill .............................................. 73
Langevin Models of Turbulence
B. Dubrulle, J-P. Laval, S. Nazarenko .............................. 77
RenormalizedPerturbationTheoryforLagrangianTurbulence
Rudolf Friedrich, Rafaela C. Hillerbrand ............................ 87
Modelling of the Pressure-Strain- and Diffusion-Term in
Rotating Flows
S. Guenther, M. Oberlack ......................................... 91
Contents IX
Predicting Probability for Stochastic Processes with Local
Markov Property
Holger Kantz, Detlef Holstein, Mario Ragwitz, Nikolay K. Vitanov ..... 95
Stability of Turbulent Kolmogorov Flow
Bernard Legras, Barbara Villone ................................... 99
Conditional Moment Closure Based on Two Conditioning
Variables
Jorge R. Lozada Ramirez, W. Kendal Bushe, Andrea Frisque ..........103
Stochastic Partial Differential Equations as a Tool for Solving
PDF Equations
Vladimir Sabel’nikov, Olivier Soulard ...............................107
Non-unique Self-similar Turbulent Boundary Layers in the
Limit of Large Reynolds Number
B Scheichl, A Kluwick ............................................111
Part IV Experiments
Two-Point-Correlations in a Zero Pressure Gradient
Boundary Layer at Re =54600
θ
R. Abstiens, W.A. El-Askary, W. Schro¨der..........................117
Measurements Over a Flat Plate With and Without Suction
Amit Agrawal, Lyazid Djenidi, R.A. Antonia ........................121
MHD Taylor-Couette Flow for Small Magnetic Prandtl
Number and With Hall Effect
Rainer Arlt, Gu¨nther Ru¨diger .....................................125
Laser-Cantilever-Anemometer
S. Barth, H. Koch, J. Peinke, J. Burgold, H. Wurmus ................129
Heteroclinic Cycles of Type II in the (2,3) Interaction in the
GEOFLOW-Experiment
P. Beltrame, C. Egbers ...........................................133
Experimental Visualization of Streamwise Streaks in the
Boundary Layers of Rayleigh–B´enard Convection
Tomi Haramina, Andreas Tilgner ..................................137
Spatial Correlations in Turbulent Shear Flows
A. Jachens, B. Eckhardt, K. Knobloch, H.-H. Fernholz................143
X Contents
Hot-Wire and PIV Measurements in a High- Reynolds
Number Turbulent Boundary Layer
K. Knobloch, H.-H. Fernholz ......................................147
Dynamics of Baroclinic Instabilities Using Methods of
Nonlinear Time Series Analysis
Th. von Larcher, C. Egbers........................................151
Fabrication and Characterization of Miniaturized
Thermocouples for Measurements in Flows
M. Munzel, A. Kittel .............................................155
Temperature and Velocity Measurements in a Large–Scale
Rayleigh-B´enard Experiment
C. Resagk, R. du Puits, F.H. Busse, A. Thess, A. Tilgner.............159
Statistics and Scaling of the Velocity Field in Turbulent
Thermal Convection
Ke-Qing Xia, Sheng-Qi Zhou, Chao Sun ............................163
Part V Simulation (DNS and LES)
Nonlinear Stochastic Estimation: A Tool for Deriving
Appropriate Wall Models for LES
M. Abel, D. Stojkovi´c, M. Breuer ..................................173
Generation of Mean Flows in Turbulent Convection
T. Hartlep, A. Tilgner............................................177
Control of a Turbulent Separation Bubble by Periodic
Excitation
Astrid H. Herbst, Dan S. Henningson ..............................181
Stretching Rate of Passive Lines in Turbulence
Shigeo Kida .....................................................185
Numerical Study of Particle Motion in a Turbulent Ribbed
Channel Flow
G. Lo Iacono, P.G. Tucker........................................191
A Fresh Approach to Large Eddy Simulation of Turbulence
R.D. Moser, P. Zandonade, P. Vedula..............................195
Statistical Analysis of Turbulent Natural Convection in Low
Prandtl Number Fluids
I. Oti´c, G. Gro¨tzbach.............................................203
