• 湍流
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湍流

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作者[法]弗里希 著

出版社世界图书出版公司

出版时间2011-04

版次1

装帧平装

货号A5

上书时间2024-12-24

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图书标准信息
  • 作者 [法]弗里希 著
  • 出版社 世界图书出版公司
  • 出版时间 2011-04
  • 版次 1
  • ISBN 9787510032943
  • 定价 39.00元
  • 装帧 平装
  • 开本 24开
  • 纸张 胶版纸
  • 页数 296页
  • 正文语种 英语
【内容简介】
《湍流》是根据他多年来授课的教材整理而成的,主要内容是以Kolmogorov学派的湍流理论为主,系统介绍了半个世纪以来这一理论的发展及今后的研究方向,《湍流》内容新,重点突出,阐述深入浅出。最后一章还专门向读者介绍了如何阅读参考资料。
【目录】
preface
chapter1
introduction
1.1turbulenceandsymmetries
1.2outlineofthebook

chapter2
symmetriesandconservationlaws
2.1periodicboundaryconditions
2.2symmetries
2.3conservationlaws
2.4energybudgetscale-by-scale

chapter3
whyaprobabilisticdescriptionofturbulence?
3.1thereissomethingpredictableinaturbulentsignal
3.2amodelfordeterministicchaos
3.3dynamicalsystems
3.4thenavier-stokesequationasadynamicalsystem

chapter4
probabilistictools:asurvey
4.1randomvariables
4.2randomfunctions
4.3statisticalsymmetries
4.4ergodicresults
4.5thespectrumofstationaryrandomfunctions

chapter5
twoexperimentallawsoffullydevelopedturbulence
5.1thetwo-thirdslaw
5.2theenergydissipationlaw

chapter6
thekolmogorov1941theory
6.1kolmogorov1941andsymmetries
6.2kolmogorov'sfour-fifthslaw
6.2.1thek/trm/m-howarth-moninrelationforanisotropicturbulence
6.2.2theenergyfluxforhomogeneousturbulence
6.2.3theenergyfluxforhomogeneousisotropicturbulence
6.2.4fromtheenergyfluxrelationtothefour-fifthslaw
6.2.5remarksonkolmogorov'sfour-fifthslaw
6.3mainresultsofthekolmogorov1941theory
6.3.1thekolmogorov-obukhovlawandthestructurefunc-tions
6.3.2effectofafiniteviscosity:thedissipationrange
6.4kolmogorovandlandau:the!ackofuniversality
6.4.1theoriginalformulationoflandau'sobjection
6.4.2amodernreformulationoflandau'sobjection
6.4.3kolmogorovandlandaureconciled?
6.5historicalremarksonthekolmogorov1941theory

chapter7
phenomenologyofturbulenceinthesenseofkolmogorov1941
7.1introduction
7.2basictoolsofphenomenology
7.3therichardsoncascadeandthe!ocalnessofinteractions
7.4reynoldsnumbersanddegreesoffreedom
7.5microscopicandmacroscopicdegreesoffreedom
7.6thedistributionofvelocitygradients
7.7thelawofdecayoftheenergy
7.8beyondphenomenology:finite-timeblow-upofidealflow

chapter8
intermittency
8.1introduction
8.2self-similarandintermittentrandomfunctions
8.3experimentalresultsonintermittency
8.4exactresultsonintermlttency
8.5intermittencymodelsbasedonthevelocity
8.5.1theβ-model
8.5.2thebifractalmodel
8.5.3themultifractalmodel
8.5.4aprobabilisticreformulationofthemultifractalmodel
8.5.5theintermediatedissipationrangeandmultifractaluniversality
8.5.6theskewnessandtheflatnessofvelocityderivativesaccordingtothemultifractalmodel
8.6lntermittencymodelsbasedonthedissipation
8.6.1multifractaldissipation
8.6.2bridgingmultifractalitybasedonthevelocityandmul-tifractalitybasedonthedissipation
8.6.3randomcascademodels
8.6.4largedeviationsandmultifractality
8.6.5thelognormalmodelanditsshortcomings
8.7shellmodels
8.8historicalremarksonfraetalintermitteneymodels
8.9trendsinintermitteneyresearch
8.9.1vortexfilaments:thesinewsofturbulence?
8.9.2statisticalsignatureofvortexfilaments:dogortail?
8.9.3thedistributionofvelocityincrements

chapter9
furtherreading:aguidedtour
9.1introduction
9.2booksonturbulenceandfluidmechanics
9.3mathematicalaspectsoffullydevelopedturbulence
9.4dynamicalsystems,fractalsandturbulence
9.5closure,functionalanddiagrammaticmethods
9.5.1thehopfequation
9.5.2functionalanddiagrammaticmethods
9.5.3thedirectinteractionapproximation
9.5.4closuresandtheirshortcomings
9.6eddyviscosity,multiscalemethodsandrenormalization
9.6.1eddyviscosity:averyoldidea
9.6.2multiscalemethods
9.6.3applicationsofmultiscalemethodsinturbulence
9.6.4renormalizationgroup(rg)methods
9.7two-dimensionalturbulence
9.7.1cascadesandvortices
9.7.2two-dimensionalturbulenceandstatisticalmechanics.
9.7.3conservativedynamics'punctuated'bydissipativeevents
9.7.4fromflatlandtothree-dimensionalturbulence
references
authorindex
subjectindex
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