Transient Thermal Waves in the General Theory of Heat Conduction With Finite Wave SpeedsSource: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 003::page 673Author:F. R. Norwood
DOI: 10.1115/1.3422771Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The linear version of the general theory of heat conduction is employed to study the problem of a half space subjected to step time inputs of temperature. The solution is obtained by the use of the Laplace transform on time and the sine transform on space. Exact solutions, wave-front, and long-time approximations are obtained. The long-time solutions satisfy the classical heat equation. It is shown that stable solutions may be obtained under more relaxed conditions than those prescribed by the general theory.
keyword(s): Heat conduction , Waves , Approximation , Elastic half space , Equations , Laplace transforms , Heat AND Temperature ,
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| contributor author | F. R. Norwood | |
| date accessioned | 2017-05-09T01:15:36Z | |
| date available | 2017-05-09T01:15:36Z | |
| date copyright | September, 1972 | |
| date issued | 1972 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25966#673_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/157256 | |
| description abstract | The linear version of the general theory of heat conduction is employed to study the problem of a half space subjected to step time inputs of temperature. The solution is obtained by the use of the Laplace transform on time and the sine transform on space. Exact solutions, wave-front, and long-time approximations are obtained. The long-time solutions satisfy the classical heat equation. It is shown that stable solutions may be obtained under more relaxed conditions than those prescribed by the general theory. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Transient Thermal Waves in the General Theory of Heat Conduction With Finite Wave Speeds | |
| type | Journal Paper | |
| journal volume | 39 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422771 | |
| journal fristpage | 673 | |
| journal lastpage | 676 | |
| identifier eissn | 1528-9036 | |
| keywords | Heat conduction | |
| keywords | Waves | |
| keywords | Approximation | |
| keywords | Elastic half space | |
| keywords | Equations | |
| keywords | Laplace transforms | |
| keywords | Heat AND Temperature | |
| tree | Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 003 | |
| contenttype | Fulltext |