Progress in Turbulence PDF
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springer 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 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting, reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationor partsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,inits currentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.Violationsareliable toprosecutionundertheGermanCopyrightLaw. SpringerisapartofSpringerScience+BusinessMedia. springeronline.com ©Springer-VerlagBerlinHeidelberg2005 PrintedinTheNetherlands Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply, evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsand regulationsandthereforefreeforgeneraluse. Typesettingandprodcution:PTP-Berlin,Protago-TEX-ProductionGmbH,Berlin Coverconcept:eStudioCalamarSteinen Coverproduction:design&productionGmbH,Heidelberg Printedonacid-freepaper SPIN:10973028 89/3141/YU 543210 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
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