|
|||||
|
|
Analytic transient solutions of a cylindrical heat equation with a heat source |
|
| Authors: | Ko-Ta Chiang |
| Affiliation: | a Department of Mechanical Engineering, Hsiuping Institute of Technology, Dali City 41280, Taiwan, Republic of China b Department of Mechanical Engineering, Nan-Ya Institute of Technology, Chung-Li 32034, Taiwan, Republic of China c Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada |
| Abstract: | The method of separation of variables is applied in order to investigate the analytical solutions of a certain two-dimensional cylindrical heat equation. In the analysis presented here, the partial differential equation is directly transformed into ordinary differential equations. The closed-form transient temperature distributions and heat transfer rates are generalized for a linear combination of the products of Fourier-Bessel series of the exponential type. Relevant connections with some other closely-related recent works are also indicated. |
| Keywords: | Heat conduction Analytical temperature distribution Sturm-Liouville problem Initial and boundary conditions Transcendental equations Fourier-Bessel series Bessel functions |
| 本文献已被 ScienceDirect 等数据库收录！ | |