基于matlab水温优化模型设计.doc

基于matlab水温优化模型设计.doc

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1、基于matlab水温优化模型设计  【Abstract】Thisarticledescribesasimplebathtemperaturemodeldesign.First,alistofmathematicalphysicsequationsandcontinuousN-Sequationandmomentumequationareconsistingofconvection-diffusionequationtosolvethebathfluidconvection-diffusionpr

2、oblems.ThencalculatedbyMATLABsimulationsoftwareisusedtoanalyzesimulationresultsandverifytherationalityofthedesign,soitprovidesthebasisforthewatertemperature.  【Keywords】Convection;TheLinearRegressionEquation;WaterTemperatureModel  Watertemperatureopt

3、imizationmodelbasedonmatlab  XuZhen1,XuZhenghua1*,PengJian2,TanKai3  1.InstitutionofMechanicalEngineering,UniversityoftheSouthofChina,421000,Hengyang,China  1.InstitutionofMathematics,UniversityoftheSouthofChina,421000,Hengyang,China  2.Institutionof

4、ComputerScienceandTechnology,UniversityoftheSouthofChina,421000,Hengyang,China  3.InstitutionofNuclearScienceandTechnology,UniversityoftheSouthofChina,421000,Hengyang,China  Introduction  Inthisarticle,bathtub,notwithauxiliaryheatingsysteminsulation,

5、butitisjustasimpletank.Whenapersonisinthebath,inordertomaintainthetemperatureofthebathandtomakepeoplefeeladegreeofcomfort,faucetwillcontinuetoincreaseacertainamountofhotwaterbath.Whenthewaterbathreachesitscapacity,theexcesswaterwilloverflowthroughthe

6、gutter.Inordertomaintainaconstanttemperature,acertainamountofhotwaterisaddedcontinuously.Supposingthebathalreadyfilledwithhotwaterandconvectiondominatingdiffusionatthistime,abathwatertemperaturemodelperformancecanbeshowedbyatemperatureandtimecurvevar

7、iationprovesbyconvectiondiffusionequationandthemethodoffiniteelementmethod[1].  1、Convectionanalysisofbathwater  1.1ConvectiveHeatTransferConditionsHypothesis  a-thefluidisacontinuousmedium;b-thefluidisincompressibleNewtonianone;c-allobjectparameters

8、areconstant;d-thevariablesinvolvedarealldifferent;e-bathwallsareadiabatic,namely,theheatwillbediffusedonlybythedirectcontactwiththesurroundingenvironmentofthesurface;f-cross-sectionalsizeofthebathinthedirectionofverticalflowmaintainsthesame.  1.2Symb

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