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.
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Cole, K.D. Fast-converging series for heat conduction in the circular cylinder. Journal of Engineering Mathematics 49, 217–232 (2004). https://doi.org/10.1023/B:ENGI.0000031204.10718.6e
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DOI: https://doi.org/10.1023/B:ENGI.0000031204.10718.6e