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Application of solution structure theorem to non-Fourier heat conduction problems: Analytical approach
- Source :
-
International Journal of Heat & Mass Transfer . Nov2011, Vol. 54 Issue 23/24, p4796-4806. 11p. - Publication Year :
- 2011
-
Abstract
- Abstract: This study presents an analytical method which combines the superposition technique along with the solution structure theorem such that a closed-form solution of the hyperbolic heat conduction (HHC) equation can be obtained using fundamental mathematics. The method is applied to investigate two one-dimensional HHC problems with different boundary and initial conditions to study the effect of spatially-decaying and time-varying laser incidence at the surface. The methodology provides a convenient, accurate, and efficient solution to the HHC equation, which is applicable to a variety of HHC analyses for various engineering applications. The examples presented in this study can be used as benchmark problems for future numerical method validations. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00179310
- Volume :
- 54
- Issue :
- 23/24
- Database :
- Academic Search Index
- Journal :
- International Journal of Heat & Mass Transfer
- Publication Type :
- Academic Journal
- Accession number :
- 65046274
- Full Text :
- https://doi.org/10.1016/j.ijheatmasstransfer.2011.06.028