A dynamic analysis is performed for heat transfer through a fin with constant cross-sectional area and with a specified fin tip temperature. The process starts with a dynamic energy balance around the fin. Laplace transforms and the Bromwich Integral are used to solve analytically the resulting partial differential equation. The final purely analytical solution is compared to the well known steady state solution. The two match exactly as time approaches infinity. Furthermore it is shown that the steady-state and dynamic characteristics of the fin are directly tied to the Biot number.
- Heat Transfer Division
Dynamic Analysis of Heat Transfer Through a Fin of Constant Cross-Sectional Area: Specified Fin Tip Temperature
- Views Icon Views
- Share Icon Share
- Search Site
Carranza, RG, & Ospina Giraldo, JF. "Dynamic Analysis of Heat Transfer Through a Fin of Constant Cross-Sectional Area: Specified Fin Tip Temperature." Proceedings of the ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. Volume 2: Theory and Fundamental Research; Aerospace Heat Transfer; Gas Turbine Heat Transfer; Computational Heat Transfer. San Francisco, California, USA. July 19–23, 2009. pp. 685-688. ASME. https://doi.org/10.1115/HT2009-88111
Download citation file: