The Mathematics of Thermal Modelling (Hardcover)

THERMAL MODELINGIntroductionDimensions and Dimensionless NumbersTwo ExamplesPHYSICAL PRINCIPLESGoverning EquationsBoundary ConditionsSummary of Equations and ConditionsTHE TEMPERATURE IN BLOCKS AND PLATESThe Temperature DistributionThe Point Source SolutionThe Temperature Distribution in PlatesFresnel AbsorptionThe Line Source SolutionTIME DEPENDENT SOLUTIONS IN BLOCKSTime Dependent One-Dimensional SolutionsSurface Heating from ColdTime-Dependent Point and Line SourcesThe Thermal History of a Material ElementMOVING BOUNDARY PROBLEMSStefan ProblemsNeumann's ProblemSIMPLE MODELS OF LASER KEYHOLE WELDINGLaser Keyhole WeldingPoint and Line Source ModelsThe Relation between Power Absorbed and Keyhole RadiusThe Liquid/Vapor InterfaceThe KeyholeNumerical ExamplesTHE FLUID REGIONS IN KEYHOLE WELDINGFlow in the Weld PoolInteraction of Motion in the Weld Pool with the KeyholeLaser Heating of the Vapor in the KeyholeTHERMO-ELASTIC PROBLEMSThermal ExpansionThe Scabbing of ConcreteTwo-Dimensional ModelsStresses in a Metal Work PieceConclusionAPPENDIX 1: VALUES OF MATERIAL PROPERTIESAPPENDIX 2: ELASTIC GREEN'S FUNCTIONS FOR A SEMI-INFINITE DOMAINBIBLIOGRAPHYINDEX