| Abstract: | The formal solutions of problems involving transient heat conduction in infinite internally bounded cylindrical solids may be obtained by the Laplace transform method. Asymptotic series representing the solutions for large values of time are given in terms of functions related to the derivatives of the reciprocal gamma function. The results are applied to the case of the internally bounded infinite cylindrical medium with, (a) the boundary held at constant temperature; (b) with constant heat flow over the boundary; and (c) with the "radiation" boundary condition. A problem in the flow of gas through a porous medium is considered in detail. |
| Genre: | Article |
| ProdID: | 70010472 |
| Citation Author: | Ritchie, R. H.; Sakakura, A. Y. |
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| Citation End Page: | 1459 |
| Citation Issue: | 12 |
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| Citation Language: | English |
| Citation Larger Work Title: | Journal of Applied Physics |
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| Citation Number Of Pages: | 7 |
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| Citation Search Results Text: | Asymptotic expansions of solutions of the heat conduction equation in internally bounded cylindrical geometry; 1956; Article; Journal; Journal of Applied Physics; Ritchie, R. H.; Sakakura, A. Y. |
| Citation Start Page: | 1453 |
| Citation Volume: | 27 |
| Citation Year: | 1956 |
| Type: | citation/reference |
| Text: | Asymptotic expansions of solutions of the heat conduction equation in internally bounded cylindrical geometry; 1956; Article; Journal; Journal of Applied Physics; Ritchie, R. H.; Sakakura, A. Y. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DIGITAL OBJECT IDENTIFIER): | http://dx.doi.org/10.1063/1.1722288 |
| Date Other: | Sun, 1 Jan 1956 00:00 -0600 |
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