高等傳熱學課件

高等傳熱學課件2011Ben-WenLiKeyLab.OfNationalEducationMinistryforElectromagneticProcessingofMaterials,NortheasternUniversity,Shenyang2011CONTENTSRecallofPhysicalPhenomenaNavier-StokesEquations(laminar)CollocationSpectralMethodDirectSolutionstoN-SEquationsandTheirApplicationsCollocationSpectralMethodforRTENumericalAnalysisofMetallurgicalProcessingOurFutureWorksSomeChallengesintheNearFuture付里葉(JosephFourier

1768-1831)導熱定律Forheatconductionin1822牛頓(IsaacNewton

1642-1727)冷卻公式Forconvectiveheattransferin1701Stefan,Boltzmann,MaxPlanck,Wein,Lambert,Kirchhoff,BeerHeatTransferAnalogy雷諾(OsborneReynolds

1842-1912)實驗ReynoldsExperimentsLowReynoldsExperiments

馮·卡門(Theodore

von

Kármán

1881-1963)渦街（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)銅板電加熱器冷卻水密封導電流體圖1實驗裝置示意圖

（注：為測溫點）電源重力方向石英玻璃石英玻璃銅板石英玻璃熱壁面冷壁面熱壁面冷壁面熱壁面磁場方腔方腔磁場冷壁面重力重力重力（a）（b）（c）圖2施加磁場的方向示例MH