热流科学与工程西步文源大学E教育部重点实验室Numerical HeatTransfer数值传热学）Chapter8Numerical SimulationforTurbulentFlowandHeatTransfer(Chapter9inTextbook)QInstructorTao,Wen-QuanKeyLaboratoryofThermo-FluidScience&EngineeringInt.JointResearchLaboratoryofThermalScience&EngineeringXi'an Jiaotong UniversityInnovativeHarborofWestChina,Xian2022-November-08CFD-NHT-EHTΦ1/76CENTER
1/76 Instructor Tao, Wen-Quan Key Laboratory of Thermo-Fluid Science & Engineering Int. Joint Research Laboratory of Thermal Science & Engineering Xi’an Jiaotong University Innovative Harbor of West China, Xian 2022-November-08 Numerical Heat Transfer (数值传热学) Chapter 8 Numerical Simulation for Turbulent Flow and Heat Transfer（Chapter 9 in Textbook）
热流科学与工程西步文源大堂E教育部重点实验室8.1Introductiontoturbulence8.2Time-averaged governingequation forincompressibleconvectiveheattransfer8.3Zero-equation andone-equation model8.4Two-equationmodel8.5Wallfunctionmethod8.6Low-Reynoldsnumberk-epsilonmodel8.7BriefintroductiontorecentdevelopmentsCFD-NHT-EHTG2/76CENTER
2/76 8.1 Introduction to turbulence 8.2 Time-averaged governing equation for incompressible convective heat transfer 8.3 Zero-equation and one-equation model 8.4 Two-equation model 8.5 Wall function method 8.6 Low-Reynolds number k-epsilon model 8.7 Brief introduction to recent developments
热流科学与工程西步文通大堂G教育部重点实验室8.1Introductiontoturbulence8.1.1 Present understandingof turbulence10.1.2Classificationsofturbulence simulationmethods10.1.3 Reynolds time-averages and theircharacteristicsCFD-NHT-EHTΦ3/76CENTER
3/76 8.1.1 Present understanding of turbulence 10.1.2 Classifications of turbulence simulation methods 8.1 Introduction to turbulence 10.1.3 Reynolds time-averages and their characteristics
热流科学与工程西步文源大堂E教育部重点实验室8.1lntroductiontoturbulence8.1.1 Present understanding of turbulence1. Turbulence is a highly complicated unsteady flow, withinwhich all kinds of physical quantities are randomly varying withboth time and space;2. Transient Naiver-Stokes are valid for turbulent flows;3. Turbulent flow field can be regarded as a collection of eddies(涡漩）with different geometric scales .Eddyvs.vortex(漩涡):Eddyis characterizedbyturbulentflowwith randomness, and it covers a wide range of geometric scales:Vortex is kind of flow pattern caused by a specific solid outlinecharacterized by a recirculation. Such vortex flow can be laminar orCERNHr-urbulent.ΦCENTER4/76
4/76 8.1 Introduction to turbulence 8.1.1 Present understanding of turbulence 1. Turbulence is a highly complicated unsteady flow, within which all kinds of physical quantities are randomly varying with both time and space； 2. Transient Naiver-Stokes are valid for turbulent flows； 3. Turbulent flow field can be regarded as a collection of eddies (涡漩）with different geometric scales . Eddy vs. vortex (漩涡)：Eddy is characterized by turbulent flow with randomness, and it covers a wide range of geometric scales; Vortex is kind of flow pattern caused by a specific solid outline characterized by a recirculation. Such vortex flow can be laminar or turbulent
热流科学与工程西步文源大学E教育部重点实验室8.1.2Classifications of turbulencesimulation methodsDNSDirect numerical simulationN-SLarge eddy simulationLESequationSecondmomentclosureRANSNumericalAlgebraic stress modelturbulenceReynoldsaveragedmodelTurbulent viscosity modelN-S eqs.BoltzmannMixing length theoryequationOne-equation modelTwo-equation modelNon-linear model. etc.CFD-NHT-EHTΦ5/76CENTER
5/76 N-S equation Boltzmann equation DNS LES RANS Second moment closure Algebraic stress model Turbulent viscosity model Mixing length theory One-equation model Non-linear model. etc. Two-equation model Numerical turbulence model Direct numerical simulation Large eddy simulation Reynolds averaged N-S eqs. 8.1.2 Classifications of turbulence simulation methods