부산대학교 도서관

국외단행본

Finite element analysis for heat transfer : theory and software / by Hou-Cheng Huang, Asif Sohail Usmani.

London : Springer London Ltd , 1994.

xi, 199 p. : ill. ; 24 cm.

Includes bibliographical references and index.

1 Introduction -- 1.1 Importance of Numerical Analysis of Heat Transfer -- 1.2 Reliability of Finite Element Analysis for Heat Transfer -- 1.3 Various Heat Transfer Problems -- 1.4 Objectives and Layout -- References -- 2 Governing Differential Equations -- 2.1 Introduction -- 2.2 Conduction -- 2.3 Convection -- 2.4 Radiation -- References -- 3 Finite Element Method -- 3.1 Introduction -- 3.2 Variational Principle and Rayleigh-Ritz Method -- 3.3 Galerkin Weighted Residual Method -- 3.4 Finite Element Method in Two Dimensions -- References -- 4 Temporal Discretisation for Heat Conduction -- 4.1 Introduction -- 4.2 Finite Element Discretisation of the Transient Conduction Equation -- 4.3 Recurrence Relations -- 4.4 Automatic Time Step Selection -- 4.5 Benchmark Example -- References -- 5 Phase Transformation -- 5.1 Introduction -- 5.2 The Stefan Problem -- 5.3 Numerical Methods for Modelling Phase Transformation -- 5.4 Benchmark Examples -- 5.5 Conclusion -- References -- 6 Adaptive Heat Transfer Analysis -- 6.1 Introduction -- 6.2 Error Estimation for Heat Conduction -- 6.3 Higher Order Approximation -- 6.4 Implementation of the Adaptive Procedure -- 6.5 Steady State Benchmark Example -- 6.6 Transient Analysis -- References -- 7 Effects of Convection in Heat Transfer -- 7.1 Introduction -- 7.2 Steady State Advection-diffusion -- 7.3 Transient Advection-diffusion -- References -- A Software Description for HEAT2D -- A.1 Introduction -- A.2 Glossary of Variable Names -- A.2.1 Main Variables -- A.2.2 Main Arrays -- A.2.3 Main Subroutines -- A.3 Program Overview -- A.4 Input Instructions -- A.5 Element Stiffness Calculations -- A.6 Phase Change Calculations -- A.6.1 Nodal Latent Heat Calculations -- A.6.2 Latent Heat Release for Each Iteration -- A.6.3 Correction of Temperatures after Each Iteration -- A.7 Documented Examples -- A.7.1 1-D Solidification Example -- A.7.2 Steady State Forced Convection Example Using the SUPG Method -- References -- B Software Description for HADAPT -- B.1 Introduction -- B.2 Glossary of Variable Names -- B.2.1 Main Variables for the Geometry and Mesh Data -- B.2.2 Additional Variables Used in This Program -- B.2.3 Additional Arrays Used in This Program -- B.2.4 New Subroutines Used in This Program -- B.3 Program Overview -- B.4 Input Instructions -- B.4.1 Geometry Data -- B.4.2 Mesh Density Data -- B.4.3 Example Data File -- B.4.4 Output Data -- B.4.5 Problem Data -- B.5 Error Estimate Calculations -- B.6 Documented Examples -- B.6.1 2-D Heat Conduction with Convective Boundary Condition -- B.6.2 Convection Dominated 2-D Heat Transfer -- B.6.3 1-D Solidification Example.

The use of Finite Elements for the modelling of heat transfer problems is here described for the first time. Applicable in Mechanical, Civil as well as in Materials engineering, it copes with heat transfer in virtually any medium including polymers and ceramics. The essential theory is covered and full implementational details given including two FORTRAN programs. HEAT2D, a program capable of steady and transient, linear and nonlinear analyses of diffusive and convective heat transfer and its adaptive version HADAPT are also presented with full instructions and documented examples. The complete source code for both programs and sample input data files are provided on a floppy disc included with the book. The programs can be run on any computer with a FORTRAN 77 compiler.

9781447120933

536.7 H874f