燃烧流体力学(1)

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NLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnHYDRODYNAMICSANDHEATMASSTRANSFERINCOMBUSTIONPROCEDURENLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cn参考书周力行《湍流两相流动与燃烧的数值模拟》,清华大学出版社,1991年。周力行《湍流气粒两相流动和燃烧的理论与数值模拟》,1994年。范维澄,万跃鹏《流动及燃烧的模型与计算》,中国科技大学出版社,1992年。盖得·希特斯洛尼《多相流动和传热手册》,机械工业出版社,1993年NLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cn参考书(续)王应时,范维澄,周力行,徐旭常《燃烧过程的数值计算》,科学出版社,1986年。岑可发,樊建人《工程气固两相流动的理论及计算》,浙江大学出版社,1990年。NLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnChapter1Introduction§IBasicProceduresCombustionHydrodynamicsHeatTransferMassTransferChemicalReactionPhysicalProceduresChemicalProcedureNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnAim:IndividualProceduresTotalProcedureNote:TotalProcedure≠∑individualProceduresNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cn§II.BasicEquations1.ReynoldsTransportPrinciple1)Twotreatmentmethodsa)Eulermethod-variationofdefinedspacepointb)Lagrangemethod-variationofdefinedfluidelementRelation(forafluidelement)jjxvtdtdNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnIngeneral,consideraparticularquantity,,forcontrolvolumeV,viVtxt,VariationrateofalongrueofcontrolvolumeVjjVjjVVVVVvxtVxvDtDVVDtVDVDtDVDtDVDtDDtDNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cni.e.VvxtVDtDVjjVorSndSvtDtDThisiscalledReynoldsTransportPrinciple.ItmeansthevariationrateoftheintergralofinthecontrolvolumemovedalongrueequalsthechangewithtimeplusthevarationintroducedbyconvectioninEulercoordinateNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnThegeneralizedconversionlaw0VVSDtDWhereSisthesourcetermof2.ContinueEquationwithr,S=0,000jjjjxvDtDvxtDtDrrrrorNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cn3.DiffusionEquationwith=rs=Ysr,andVsSsVVwdSjVS0VsjsjVsVwxjVYDtDrWithReynoldstransportlowandFickLawjsjjsjVjsjsVsxYDxxjVvYxYtVYDtDrrrrNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnSomassconversionequationforscomponentsjsjjsjswxYDxvYxYtrrr∵0sw∴Thesumofmassconversionequationsisequaltozero.NLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cn4.MomentumEquationwith=rviVFxpDtDVFxpVSVsisjijVsisjijVrrWithReynoldstransportprincipleandNewton’sviscouslowijijjiijVijjjVipxvxvpVvvxvtVvDtDrrrNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnSosisijjijiiFxvxvxxpDtDvrrVolumeforcemaybegravityforcergi,elctricityforceandmagneticforceNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cn5.EnergyEquationwithre,ee+v2/2ByReynoldstransportprincipleandcontinueequationVvjjVVjjVDtDVxvDtDVvxtVDtDerrerererereNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnHeattransfertocontrolvolumebyconduction,convection,radiationanddiffusionSrjsjsVjjVqhxYDxTxr)WorkofvolumeforceVVFFvVvFVVssssssssrrrWherevsisrelativevelocityofcomponentstocombinedgasvvVssNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnWorkofsurfaceforceSViijjnVvpxdSvpSo,jijjsissisijrjssjsjjjvpxFFvxqhxYDxxTxveDtDrrrr22NLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cn§IIIDimensionlessParametersWithdimensionanalysisForfluidflowauTcurgyThermalEneergyMomentumEnMaLuLuLurgyViscousEnergyInatialEneupuLpMomentumessureEup2///Re/Pr2222rrrNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnForconductionPrRe///2rrppcLuLTLTcuHeatConductionHeatConvectionPeForcombustioncdssIIcfpssILTQwactionTimeimeDiffusionTconductionreactionDLTcuQwactionTimeFlowTimeconvectioreactionDr/Re/ReNLCCNationalLab.ofCoalCombustion,HUSTWuhan430074,P.R.CHINAE-mail:pcbnlcc@hust.edu.cnDI,DII-DamkohlernumbersDII~f(DI,Pe)FortwolowMacombustionsystems,whenRe=const.Pr=const.DI=const.Theyaresimilar.

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