相變熱傳導(dǎo)問題的數(shù)值解及應(yīng)用.pdf

1、（題目：相變熱傳導(dǎo)問題的數(shù)值解及應(yīng)用目：相變熱傳導(dǎo)問題的數(shù)值解及應(yīng)用英文題目：英文題目：NumericalSolutionandApplicationofHeatTransferModelWithPhaseChange研究生：林文生研究生：林文生學(xué)科名稱：計算數(shù)學(xué)學(xué)科名稱：計算數(shù)學(xué)指導(dǎo)教師：令鋒教授指導(dǎo)教師：令鋒教授二○○七年五月二○○七年五月碩士學(xué)位論文碩士學(xué)位論文分類號:0177.9分類號:0177.9學(xué)校代碼:10128學(xué)校代碼:

2、10128UDC:學(xué)號:20041012學(xué)號:20041012AbstractItisdifficulttoobtainanalyticalsolutionsfmanyheattransfermodelswithphasechange.Mostofthemhavetobesolvedbyusingnumericalmethods.Inthispaperthefinitedifferencemethodfphasechangeisappl

3、iedtosimulatethepermafrosttemperaturesofonedimensionalmodelanalyzetheinfluenceofunfrozenwateronthenumericalsimulationresultsofpermafrostthermalregime.What’smethefiniteelementmethodfphasechangeisappliedtosimulatethepermaf

4、rosttemperaturesoftwodimensionalmodelanalyzethethermalregimeofroadbedwithwithoutinsulation.ThispaperisdividedintothreepartsInthefirstpart，thedevelopmentofnumericaltheyareintroducedsimplyInthesecondpart，itisstudiedtotheth

5、eyapplicationofonedimensionalfinitedifferencemodelfphasechangeproblems.BasedontheobservedgroundtemperaturedatathesoilthermalphysicalpropertiesderivedfromBarrowAlaskathegroundtemperaturesatdepthsof0.290.501.0matBarrowissi

6、mulatedbyusingaonedimensionalfinitedifferencemodelfphasechangeproblems.Twosimulationcaseswereconductedbyconsideringtheunfrozenwaterneglectingtheunfrozenwater.Thesimulatedmeasuredsoiltemperaturesatdifferentdepthsalsowerec

7、ompared.Thecalculatedresultsshowthatunfrozenwaterhasstronginfluenceonthenumericalsimulationresultsofpermafrostthermalregime.Inthethirdpart，Thetheytheapplicationof2Dfiniteelementanalysisfphasechangeproblemsisstudied.Based

8、ontheobservedgroundtemperaturedatathesoilthermalphysicalpropertiesderivedfromFenghuoshanpermafrostzoneofTibetthethermalstatesofroadbedatFenghuoshanpermafrostzoneissimulatedbyusingTwodimensionalfiniteelementmodelfphasecha

9、ngeproblemswhentheinsulationisnotbesetintheroadbedit’splacedatthedepthsof0.51.01.5m.Thenitiscomparedthefourthermalregimesofthefifteenthyearatthecenteraxisoftheroadbed.Furthermethefourthermalregimesofthe30thOctberofthefif