高等传热学课件

高等传热学课件2011Ben-WenLiKeyLab.OfNationalEducationMinistryforElectromagneticProcessingofMaterials,NortheasternUniversity,Shenyang2011CONTENTSRecallofPhysicalPhenomenaNavier-StokesEquations(laminar)CollocationSpectralMethodDirectSolutionstoN-SEquationsandTheirApplicationsCollocationSpectralMethodforRTENumericalAnalysisofMetallurgicalProcessingOurFutureWorksSomeChallengesintheNearFuture付里叶(JosephFourier

1768-1831)导热定律Forheatconductionin1822牛顿(IsaacNewton

1642-1727)冷却公式Forconvectiveheattransferin1701Stefan,Boltzmann,MaxPlanck,Wein,Lambert,Kirchhoff,BeerHeatTransferAnalogy雷诺(OsborneReynolds

1842-1912)实验ReynoldsExperimentsLowReynoldsExperiments

冯·卡门(Theodore

von

Kármán

1881-1963)涡街（VortexStreet）von

Kármán

VortexStreetExperimentsvon

Kármán

VortexStreetSimulationDamageofTacomaNarrowsBridgeRayleigh-BénardConvectionRayleigh-BénardConvectionExperiment(1)Rayleigh-BénardConvectionExperiment(2)Kelvin-HelmholtzInstability(1)Kelvin-HelmholtzInstability(2)Kelvin-HelmholtzInstabilityExperimentsTaylor-Couette(1)

Taylor-Couette(2)

Taylor-CouetteExperiments

Navier-StokesEqs.inDifferentCoordinates(1)Cartesiancoordinates(u,v,w)⇒(x,y,z)Navier-StokesEqs.inDifferentCoordinates(2)Cylindricalcoordinates(u,v,w)⇒(r,θ,z)Navier-StokesEqs.inDifferentCoordinates(3)Sphericalcoordinates(u,v,w)⇒(r,θ,φ)ThermalRadiationonMHD(Challenge1)铜板电加热器冷却水密封导电流体图1实验装置示意图

（注：为测温点）电源重力方向石英玻璃石英玻璃铜板石英玻璃热壁面冷壁面热壁面冷壁面热壁面磁场方腔方腔磁场冷壁面重力重力重力（a）（b）（c）图2施加磁场的方向示例MH