NumericalHeatTransferChapter3Numerical MethodsforSolvingDiffusionEquationandtheirApplications(1)(Chapter4ofTextbook)1/55
Numerical Heat Transfer Chapter 3 Numerical Methods for Solving Diffusion Equation and their Applications (1) (Chapter 4 of Textbook) 1/55
Our teaching principle line（40学时教学主线）Youcan solveturbulent probsHighlightsforsolvingin irregular regionincompressibleFFHTThree math featuresTurbulencemodelsSolution ofIrregulardomainFlow prob.DescretizationAlgorithms:OfconvectionAppliedtoSIMPLE,termsolveSIMPLER...DiffusionSchemes:prob.FUD,CD,SUD,QUICK...TDMA;MostASTM;IntermidiatefundamentalsLinearizationBasic partpartGoverning eqs.You can solve laminar flowYou have laid a solidDomaindiscretizationandheattransferproblemsfoundationforadvancedEg.discretizationinirregularregionstudyofCFDandNHT2/55
2/55 Our teaching principle line （40学时教学主线） Governing eqs. Domain discretization Eq. discretization Most fundamentals Applied to solve Diffusion prob. Descretization Of convection term Solution of Flow prob. Three math features Turbulence models Irregular domain TDMA； ASTM； Linearization Schemes: FUD, CD, SUD, QUICK,. Algorithms: SIMPLE, SIMPLER,. You can solve turbulent probs in irregular region Basic part You can solve laminar flow and heat transfer problems in irregular region You have laid a solid foundation for advanced study of CFD and NHT Intermidiate part Highlights for solving incompressible FFHT
Contents(Chapter 4 of Textbook)Remarks:Chapter3inthetextbookwill bestudiedlaterfor the students'convenience of understanding3.11-DHeatConductionEquation3.2FullyImplicit Scheme of Multi-dimensionalHeat ConductionEguation3.3TreatmentsofSourceTermandB.Cs3.4TDMA&ADIMethodsforSolvingABEs3.5FullyDevelopedHTinCircularTubes3.6*FullyDevelopedHTinRectangleDucts3/55
3/55 3.1 1-D Heat Conduction Equation 3.2 Fully Implicit Scheme of Multi-dimensional Heat Conduction Equation 3.3 Treatments of Source Term and B.Cs. Contents (Chapter 4 of Textbook) 3.4 TDMA & ADI Methods for Solving ABEs 3.6* Fully Developed HT in Rectangle Ducts 3.5 Fully Developed HT in Circular Tubes Remarks: Chapter 3 in the textbook will be studied later for the students’ convenience of understanding
3.11-D Heat Conduction Equation3.1.1General egquationof 1-D steadyheat conduction3.1.2Discretizationof general G.E.by CV method3.1.3Determination of interface thermal conductivity3.1.4 Discretization of1-D unsteadyheat conductionequation3.1.5Mathematical stability can'tguarantee solutionphysicallymeaningful（有意义的）4/55
4/55 3.1 1-D Heat Conduction Equation 3.1.1 General equation of 1-D steady heat conduction 3.1.3 Determination of interface thermal conductivity 3.1.4 Discretization of 1-D unsteady heat conduction equation 3.1.2 Discretization of general G.E. by CV method 3.1.5 Mathematical stability can’t guarantee solution physically meaningful (有意义的)
3.11-DHeatConductionEquation3.1.1Generalegaution of 1-D steady heat conduction1.Twoways of coding for solving engineering problemsSpecial code(专用程序):FLOWTHERN，6 SIGMA,POLYFLOW.....Having some generality within its applicationrangeGeneral code(通用程序):HT,FF,Combustion,Masstransfer, Reaction, Thermal radiation, etc.; PHOENICS.FLUENT,CFX,STAR-CD,Different codes tempt to have some generality(通用性)Generality includes: Coordinates; G.E.; Boundarycondition treatment; Source term treatment; Geometry...5/55
5/55 3.1 1-D Heat Conduction Equation 1. Two ways of coding for solving engineering problems Special code(专用程序): FLOWTHERN，6 SIGMA , POLYFLOW.Having some generality within its application range. Different codes tempt to have some generality(通用性）. Generality includes：Coordinates；G.E.；Boundary condition treatment；Source term treatment；Geometry. General code(通用程序): HT, FF, Combustion, Mass transfer, Reaction, Thermal radiation, etc.；PHOENICS, FLUENT, CFX, STAR-CD , . 3.1.1 General eqaution of 1-D steady heat conduction