Analytical formulation for the temperature profile by Duhamel's theorem in bodies subjected to an oscillatory heat source
Document Type
Article
Publication Date
2-1-2007
Abstract
An analytical technique is presented for treating heat conduction problems involving a body experiencing oscillating heat flux on its boundary. The boundary heat flux is treated as a combination of many point heat sources, each of which emits heat intermittently based on the motion of the flux. The working function of the intermittent heat source with respect to time is evaluated by using the Fourier series and temperature profile of each point heat source is derived by using the Duhamel's theorem. Finally, by superposition of the temperature fields over all the point heat sources, the temperature profile due to the original moving heat flux is determined. Prediction results and verification using finite element method are presented for an oscillatory heat flux in a rectangular domain. Copyright © 2007 by ASME.
Publication Source (Journal or Book title)
Journal of Heat Transfer
First Page
236
Last Page
240
Recommended Citation
Wen, J., & Khonsari, M. (2007). Analytical formulation for the temperature profile by Duhamel's theorem in bodies subjected to an oscillatory heat source. Journal of Heat Transfer, 129 (2), 236-240. https://doi.org/10.1115/1.2424236