Asymptotic expansions of solutions of the heat conduction equation in internally bounded cylindrical geometry
Journal of Applied Physics
By: R.H. Ritchie and A.Y. Sakakura
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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.
Suggested Citation
Ritchie, R., and Sakakura, A., 1956, Asymptotic expansions of solutions of the heat conduction equation in internally bounded cylindrical geometry: Journal of Applied Physics, v. 27, no. 12, p. 1453-1459, https://doi.org/10.1063/1.1722288.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Asymptotic expansions of solutions of the heat conduction equation in internally bounded cylindrical geometry |
| Series title | Journal of Applied Physics |
| DOI | 10.1063/1.1722288 |
| Volume | 27 |
| Issue | 12 |
| Year Published | 1956 |
| Language | English |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Journal of Applied Physics |
| First page | 1453 |
| Last page | 1459 |