Stationary problems of heat conduction in semi-infinite cylindrical circular domains (Q2753482)
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scientific article; zbMATH DE number 1670299
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stationary problems of heat conduction in semi-infinite cylindrical circular domains |
scientific article; zbMATH DE number 1670299 |
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11 November 2001
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cylindrical coordinates
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heat conduction
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Fourier transform
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Hankel transform
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Weber transform
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Green function
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0.9651451
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0.94248784
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0.9381336
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0.9361652
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0.9210166
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0.9119445
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0.9080557
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Stationary problems of heat conduction in semi-infinite cylindrical circular domains (English)
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Stationary temperature fields in homogeneous infinite solid occupying: (i) half-space; (ii) half-space with circular hole; (iii) semi-infinite cylinder and (iv) semi-infinite hollow cylinder, are studied. Different variants of boundary conditions are considered. Explicit solutions of problems for the four domains are obtained by the method of Green functions and making use of the corresponding integral transforms (Fourier, Weber, Hankel of first and second kind) and the Fourier-Bessel series.
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