Heat conduction using Green's functions
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| Hlavní autoři: | , , |
|---|---|
| Médium: | Livre papier |
| Jazyk: | Anglais |
| Vydáno: |
Boca Raton ; London ; New-York :
CRC Press
cop. 2011.
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| Vydání: | Second edition. |
| Edice: | Series in computational and physical processes in mechanics and thermal sciences
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| Témata: | |
| Poznámka: |
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 |
Obsah:
- 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