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1、ApplicabilityofCalculationMethodsforConductionTransferFunctionsofBuildingConstructions墙体传导传递函数计算方法的适用性研究YoumingChena,b,JeffreyD.Spitlerb,DanFisherbaCollegeofCivilEngineering,HunanUniversity,Changsha,Hunan410082,ChinabSchoolofMechanicalandAerospaceEngineering,OklahomaStateUniversity,Stillwater,Oklaho
2、ma74078-5016,USAAbstractConductiontransferfunctions(CTFs)iswidelyusedtocalculateconductionheattransferinbuildingcoolingloadandenergycalculations.Itcanconvenientlyfitintoanyloadandenergycalculationtechniquestoperformconductioncalculations.Therearethreemethods,Laplacetransform(LP)method,state-space(SS
3、)methodandfrequency-domainregression(FDR)methodtocalculateCTFcoefficients.ThelimitationofmethodologypossiblyresultsinimpreciseorfalseCTFcoefficients.Thispaperinvestigatestheapplicabilityofthethreemethodstothematerialpropertiesofasingle-layerheavyweightbuildingconstruction.1.IntroductionIncoolingload
4、andenergycalculation,buildingsimulationandenergyanalysis,conductionheattransferisusuallymodeledasaone-dimensional,transientprocesswithconstantmaterialproperties(McQuiston,etal.2000).ThesimplifiedheatdiffusionequationinCartesiancoordinatesisshowninequation(1)(Incropera,etal.1996).(1)whereT=Temperatur
5、e,CorFx=Heatflowdirection,morfta=Thermaldiffusivity,m2/sorft2/st=Time,secFourier’slaw,equation(2),specifiestheconductionheatfluxintermsofthethermalconductivityofthematerialandtemperaturegradientacrossadifferentialthickness.(2)whereq”=Heatflux,W/m2orBtu/(hr-ft2)l=Thermalconductivity,W/(m-C)orBtu/(hr-
6、ft-F)Sinceequation(1)isapartialdifferentialequation,thesystemisusuallysolvednumerically,oftenbymeansofconductiontransferfunctionmethods.CTFsrepresentthe132material’sthermalresponseasdeterminedbyitsmaterialproperties.Themethodresultsinasimplelinearequationthatexpressesthecurrentheatfluxintermsofthecu
7、rrenttemperatureandtemperatureandheatfluxhistoriesasshowninequations(3)and(4)(McQuiston,etal.2000).(3)(4)whereq”ko=Heatfluxatexteriorsurface,W/m2orBtu/(hr-ft2)q”ki=Heatfluxatinteriorsurface,W/m2orBtu/
