含非平衡相变的移动边界问题

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1、MovingBoundaryProblemswithNon-EquilibriumPhaseChangeGuo-XiangWangCollegeofPowerandEnergyEngineeringStateKeyLaboratoryofMulti-phaseflowXi’anJiaotongUniversity,Xi’an(Summer2007)Description:Thiscourseintroducesstudentsthebasicphysicsofmovingboundaryproblemswithnon-equilibriumphasechan

2、geincludingrapidevaporation,meltingand/orrapidsolidification,andthecorrespondingmodelingtechniques.Thecoursewillprovidestudentsasystematicunderstandingofthecommonphysicalprinciplesthatgovernvariousengineeringprocessesinvolvingnon-equilibriumphasechange.Thermodynamicandkineticcondit

3、ionsofnon-equilibriumphasechangewillbediscussedandrepresentativemodelsformelting,solidification,andevaporationwillbepresented.Examplesareusedtoillustratehowtosetuptherightmathematicalconditionsatthegivingmovingboundary.Somebasicnumericaltechniquesoftrackingamovingboundarywillbealso

4、examinedindetail.Textbook:Notextbookisrequired.Handoutwillbegiveninlecture.Grading:Homework20%Projectreport60%Presentation20%Outline:1.Introductiontomovingboundaryproblemwithphasechange2.HeatandMassTransferofphasechange3.ThermodynamicsandKineticsofnon-equilibriumphasechange4.Mathem

5、aticalmodelsofseveralmovingboundaryproblemswithphasechange*SplatsolidificationDropletevaporationandcoolingincryogenspraycoolingDropletheating,melting,andevaporationinplasmathermalsprayFlashevaporationofliquiddropletIntracellulariceformationintissueDissolutionandIMCformationincompos

6、itesolder5.InterfacetrackingtechniquesformovingboundaryproblemswithphasechangeFixedgridmethodCoordinatetransformation*:Thesearealsothetopicsforstudentproject.Twoorthreestudentswillbegroupedtoconducttheirproject.Thetasksoftheprojectincludebuilduptherightphysicalmodeloftheproblem,set

7、upthemathematicformulationofthemodel,anddevelopaone-dimensionalcodetoperformadetailednumericalanalysis.MovingBoundaryproblem–GXWang2/2含非平衡相变的移动边界问题教学大纲第一章带相变移动边界问题简介2学时第二章相变过程的热质传递2学时第三章非平衡相变的热力学和动力学2学时第四章几类带相变移动边界问题的数学模型6学时1)薄片材料快速凝固2)低温喷雾冷却过程中的液滴蒸发和冷却3)等离子热喷涂中的液滴加热、熔化和蒸发4)液滴闪蒸5)组

8、织细胞内冰的形成6)复合焊锡材料中液滴溶解与金属间化