资源描述：
《EMERGENCE OF NON-FOURIER HIERARCHIES非傅里叶层次地涌现.pdf》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、EMERGENCEOFNON-FOURIERHIERARCHIESTAMASFUL•OP•1;3,ROBERTKOVACS1;2;3,ADAMLOVAS1,AGNESRIETH1,TAMASFODOR1,MATYASSZUCS•1;3,PETERVAN1;2;3ANDGYULAGROF1Abstract.Thenon-Fourierheatconductionphenomenononroomtemper-atureisanalyzedfromvariousaspects.The rstoneshowsitsexperimentalside,inw
2、hatformitoccursandhowwetreatedit.ItisdemonstratedthattheGuyer-KrumhanslequationcanbethenextappropriateextensionofFourier'slawforroomtemperaturephenomenainmodelingofheterogeneousmaterials.Thesecondapproachprovidesaninterpretationofgeneralizedheatconduc-tionequationsusingasimplethermomecha
3、nicalbackground.Here,Fourierheatconductioniscoupledtoelasticityviathermalexpansion,resultinginaparticulargeneralizedheatequationforthetemperature eld.Bothoftheaforementionedapproachesshowthesizedependencyofnon-Fourierheatcon-duction.Finally,athirdapproachispresented,calledpseudo-temperat
4、uremodeling.Itisshownthatnon-Fouriertemperaturehistorycanbeproducedbymixingdi erentsolutionsofFourier'slaw.Thatkindofexplanationin-dicatestheinterpretationofunderlyingheatconductionmechanicsbehindnon-Fourierphenomena.1.IntroductionTheFourier'slaw[1]!q= krT(1)isoneofthemostapplicable,well
5、-knownelementaryphysicallawsinengineeringpractice.Here,qistheheat
uxvector,Tisabsolutetemperature,kisther-malconductivity.However,asalltheconstitutiveequations,italsohaslimitsofvalidation.Phenomenathatdonot tintotheselimits,callednon-Fourierheatcon-duction,appearinmanydi erentforms.Someo
6、fthemoccuratlowtemperatureliketheso-calledsecondsoundandballistic(thermalexpansioninduced)propaga-tion[2,3,4,5,6,7].Thesephenomenahavebeenexperimentallymeasuredseveraltimes[8,9,10,11]andmanygeneralizedheatequationsexisttosimulatethem[12,13,14,15,16,17,21].Thesuccessinlow-temperatureexper
7、imentsresultedintheextensionofthisresearch eldto ndthedeviationatroomtemperatureaswell.OneofthemostcelebratedresultisrelatedtoMitraetal.[18]wherethemeasuredtemperaturehistorywasverysimilartoawave-likepropagation.How-ever,theseresultshavenotbeenreproducedbyanyoneandundoubt
