Heat Conduction
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چکیده
Heat conduction modelling ........................................................................................................................... 1 Case studies ........................................................................................................................................... 2 Analytical solutions....................................................................................................................................... 3 Conduction shape factor (steady state) ..................................................................................................... 3 Reduction to the main dimension (steady state) ....................................................................................... 5 Planar, cylindrical, and spherical energy sources, internal or interfacial ............................................. 6 Multilayer composite walls ................................................................................................................... 8 Critical radius ........................................................................................................................................ 8 Rods and fins ......................................................................................................................................... 8 Heat source moving at steady state along a rod .................................................................................. 11 Reduction by dimension similarity (unsteady state) ............................................................................... 11 Energy deposition in unbounded media .............................................................................................. 12 Thermal contact in semi-infinite media .............................................................................................. 16 Freezing and thawing .......................................................................................................................... 18 Reduction by separation of variables ...................................................................................................... 19 Unsteady problems in 1-D .................................................................................................................. 20 Steady problems in 2-D....................................................................................................................... 26 Other analytical methods to solve partial differential equations ............................................................. 30 Duhamel`s theorem ............................................................................................................................. 31 Numerical solutions .................................................................................................................................... 31 Global fitting ........................................................................................................................................... 33 Lumped network ..................................................................................................................................... 35 Spectral methods ..................................................................................................................................... 36 Residual fitting ........................................................................................................................................ 37 Collocation method ............................................................................................................................. 38 Least square method (LSM) ................................................................................................................ 38 Galerkin method .................................................................................................................................. 38 Finite differences..................................................................................................................................... 39 Finite elements ........................................................................................................................................ 42 Boundary elements .................................................................................................................................. 43
منابع مشابه
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