文档介绍:Chapter2HeatConductionEquation(HeatConductionDifferentialEquation)Temperaturedistribution12-1 Introduction(oncepts)2-2 GeneralHeatConductionEquation2-3 One-DimensionalHeatConductionEquation2-4 BoundaryandInitialConditions2-5 SolutionofSteadyOne-DimensionalHeatConduction Problems2-6 HeatGenerationinaSolid2-7 VariableThermalConductivity,k(T)2-8 SummaryChapter2HeatConductionEquation(ScalarField)Unsteady:Steady:Two-dimensional:One-dimensional:CylindricalCoordinates:SphericalCoordinates:Chapter2HeatConductionEquation2-&IsothermIsothermalSurfaceIsothermChapter2HeatConductionEquation2-:thenormaloftheisothermatpointP(vector,+T)Chapter2HeatConductionEquation2-1IntroductionForaunsteadyproblemitdependsalsoonthetime!PInrectangularcoordinatesnormaltotheIsotherm5Chapter2HeatConductionEquation2-&Fourier’sLawInrectangularcoordinates6Chapter2HeatConductionEquation2-(interiorheatsource)TotalrateofheatgenerationCondition??:heatgenerationperunitvolume7Chapter2HeatConductionEquation2-(differentialvolumeelement)1stlawofthermodynamics:theconservationofenergyprinciple8Chapter2HeatConductionEquation2-2GeneralHeatConductionEquationEnergyintheelement:Energyouttheelement:Fourier’sLaw9Chapter2HeatConductionEquation2-2GeneralHeatConductionEquationThechangerateintheenergycontentoftheelementTherateofheatgenerationwithintheelement10