Chronicling the authors' continued search for new Green's functions (GFs) and novel ways to apply them to heat conduction, this book organizes the solution of heat conduction and diffusion problems through the use of GFs. This second edition expands the introduction to steady and unsteady GFs; adds new sections on the Dirac-delta function, convergence speed of series solutions, the importance of alternate GF, and intrinsic verification; and includes a discussion of the eigenfunction expansion method. A companion website provides a useful web-searchable collection of GFs.
Chronicling the authors' continued search for new Green's functions (GFs) and novel ways to apply them to heat conduction, this book organizes the solution of heat conduction and diffusion problems through the use of GFs. This second edition expands the introduction to steady and unsteady GFs; adds new sections on the Dirac-delta function, convergence speed of series solutions, the importance of alternate GF, and intrinsic verification; and includes a discussion of the eigenfunction expansion method. A companion website provides a useful web-searchable collection of GFs.
Kevin Cole, James Beck, A. Haji-Sheikh, Bahman Litkouhi
Inhaltsangabe
Introduction to Green's Functions. Numbering System in Heat Conduction. Derivation of the Green's Function Solution Equation. Methods for Obtaining Green's Functions. Improvement of Convergence and Intrinsic Verification. Rectangular Coordinates. Cylindrical Coordinates. Radial Heat Flow in Spherical Coordinates. Steady-Periodic Heat Conduction. Galerkin-Based Green's Functions and Solutions. Applications of the Galerkin-Based Green's Functions. Unsteady Surface Element Method. Problems. References. Appendices. Index.
Introduction to Green's Functions. Numbering System in Heat Conduction. Derivation of the Green's Function Solution Equation. Methods for Obtaining Green's Functions. Improvement of Convergence and Intrinsic Verification. Rectangular Coordinates. Cylindrical Coordinates. Radial Heat Flow in Spherical Coordinates. Steady-Periodic Heat Conduction. Galerkin-Based Green's Functions and Solutions. Applications of the Galerkin-Based Green's Functions. Unsteady Surface Element Method. Problems. References. Appendices. Index.
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