Heat conduction using Green's functions

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Bibliographische Detailangaben
Hauptverfasser: Cole, Kevin David, Beck, James V., 1930- (VerfasserIn), Haji-Sheikh, A. (VerfasserIn)
Format: Livre papier
Sprache:Anglais
Veröffentlicht: Boca Raton ; London ; New-York : CRC Press cop. 2011.
Ausgabe:Second edition.
Schriftenreihe:Series in computational and physical processes in mechanics and thermal sciences
Schlagworte:
Anmerkung: Sommaire et résumé disponibles sur le site de l'éditeur à l'adresse. http://www.crcpress.com/product/isbn/9781439813546
Autres localisations: Voir dans le Sudoc
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024 |a 9781439813546 
041 0 |a eng 
082 |a 536.2 
100 1 |a Cole, Kevin David. 
245 1 0 |a Heat conduction using Green's functions   |c Kevin D. Cole, James V. Beck, A.Haji-Sheikh [et al.]. 
250 |a Second edition. 
260 |a Boca Raton ;  |a London ;  |a New-York :  |b CRC Press,  |c cop. 2011. 
300 |a 1 vol. (XX-643 p.) :  |b ill. ;  |c 25 cm. 
490 1 |a Series in computational and physical processes in mechanics and thermal sciences 
500 |a Sommaire et résumé disponibles sur le site de l'éditeur à l'adresse. http://www.crcpress.com/product/isbn/9781439813546 
504 |a Bibliogr. dispersée. Index 
505 0 |a Introduction to Green s Functions -- Heat Flux and Temperature -- Differential Energy Equation -- Boundary and Initial Conditions -- Integral Energy Equation -- Dirac Delta Function -- Steady Heat Conduction in One Dimension -- GF in the Infinite One-Dimensional Body -- Temperature in an Infinite One-Dimensional Body -- Two Interpretations of Green s Functions -- Temperature in Semi-Infinite Bodies -- Flat Plates -- Properties Common to Transient Green s Functions -- Heterogeneous Bodies -- Anisotropic Bodies -- Transformations -- Non-Fourier Heat Conduction -- Numbering System in Heat Conduction -- Geometry and Boundary Condition Numbering System -- Boundary Condition Modifiers -- Initial Temperature Distribution -- Interface Descriptors -- Numbering System for g(x, t) -- Examples of Numbering System -- Advantages of Numbering System -- Derivation of the Green s Function Solution Equation -- Derivation of the One-Dimensional Green s Function Solution Equation -- General Form of the Green s Function Solution Equation -- Alternative Green s Function Solution Equation -- Fin Term m2T -- Steady Heat Conduction -- Moving Solids -- Methods for Obtaining Green s Functions -- Method of Images -- Laplace Transform Method -- Method Of Separation of Variables -- Product Solution for Transient GF -- Method of Eigenfunction Expansions -- Steady Green s Functions -- Improvement of Convergence and Intrinsic Verification -- Identifying Convergence Problems -- Strategies to Improve Series Convergence -- Intrinsic Verification -- Rectangular Coordinates -- One-Dimensional Green s Functions Solution Equation -- Semi-Infinite One-Dimensional Bodies -- Flat Plates: Small-Cotime Green s Functions -- Flat Plates: Large-Cotime Green s Functions -- Flat Plates: The Nonhomogeneous Boundary -- Two-Dimensional Rectangular Bodies -- Two-Dimensional Semi-Infinite Bodies -- Steady State -- Cylindrical Coordinates -- Relations for Radial Heat Flow -- Infinite Body -- Separation of Variables for Radial Heat Flow -- Long Solid Cylinder -- Hollow Cylinder -- Infinite Body with a Circular Hole -- Thin Shells, T = T ( , t) -- Limiting Cases for 2D and 3D Geometries -- Cylinders with T = T (r, z, t ) -- Disk Heat Source on a Semi-Infinite Body -- Bodies with T = T (r, , t ) -- Steady State -- Radial Heat Flow in Spherical Coordinates -- Green s Function Equation for Radial Spherical Heat Flow -- Infinite Body -- Separation of Variables for Radial Heat Flow in Spheres -- Temperature in Solid Spheres -- Temperature in Hollow Spheres -- Temperature in an Infinite Region Outside a Spherical Cavity -- Steady State -- Steady-Periodic Heat Conduction -- Steady-Periodic Relations -- One-Dimensional GF -- One-Dimensional Temperature -- Layered Bodies -- Two- and Three-Dimensional Cartesian Bodies -- Two-Dimensional Bodies in Cylindrical Coordinates -- Cylinder with T = T (r, , z, ) -- Galerkin-Based Green s Functions and Solutions -- Green s Functions and Green s Function Solution Method -- Alternative form of the Green s Function Solution -- Basis Functions and Simple Matrix Operations -- Fins and Fin Effect -- Conclusions -- Applications of the Galerkin-Based Green s Functions -- Basis Functions in some Complex Geometries -- Heterogeneous Solids -- Steady-State Conduction -- Fluid Flow in Ducts -- Conclusion -- Unsteady Surface Element Method -- Duhamel s Theorem and Green s Function Method -- Unsteady Surface Element Formulations -- Approximate Analytical Solution (Single Element) -- Examples 
650 |a Thermocinétique 
650 |a Green, Fonctions de 
700 1 |a Beck, James V.,  |d 1930-  |4 aut 
700 1 |a Haji-Sheikh, A.  |4 aut 
997 |0 386486  |1 Livre papier  |a Ressource papier  |c 0/Orléans/  |c 1/Orléans/IDP/  |c 1/Orléans/OSUC/  |z Orléans, OSUC, 536.2 COL  |z Orléans, IDP, 7509 HEA