Abstract
Steady heat conduction in the finite, right-circular cylinder is treated with the method of Green's functions for a variety of boundary conditions. Three forms of the series for the Green's function are discussed: a triple-sum series obtained from eigenfunction expansions; an alternate triple-sum series with improved series convergence found with the method of time partitioning; and, a double-sum series. Influence functions appropriate for the boundary-element method are constructed with the Green's functions to describe a cylinder heated by a specified heat flux over a portion of one face. Numerical examples are given.
Original language | English (US) |
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Pages (from-to) | 217-232 |
Number of pages | 16 |
Journal | Journal of Engineering Mathematics |
Volume | 49 |
Issue number | 3 |
DOIs | |
State | Published - Jul 2004 |
Keywords
- Cylinder
- Green's functions
- Laplace equation
- Series convergence
- Time partitioning
ASJC Scopus subject areas
- General Mathematics
- General Engineering