Improved One-Dimensional Fin Solutions
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Heat Transfer Engineering
- Vol. 11 (1) , 49-59
- https://doi.org/10.1080/01457639008939722
Abstract
The classical problem of determining heat transfer performance of extended surfaces is revisited. An improved one-dimensional formulation of the energy equation is proposed, which takes approximately into account the nonuniformity of temperature distributions across the fin, as opposed to the classical approach, which neglects transversal temperature gradients. The resulting modified expressions are as simple as those obtained from the classical solution, but accuracy on heat transfer rates at the base and average temperature profiles along the fin is significantly improved, as demonstrated by numerical results for rectangular longitudinal fins and cylindrical pins. The present analysis extends the applicability range of the very simple one-dimensional formulation to considerably larger values of Biot number at the fin's lateral surface.Keywords
This publication has 4 references indexed in Scilit:
- Coupled integral equation approach for solving melting or solidificationInternational Journal of Heat and Mass Transfer, 1985
- Two point hermite approximations for the solution of linear initial value and boundary value problemsComputer Methods in Applied Mechanics and Engineering, 1983
- Errors in One-Dimensional Heat Transfer Analysis in Straight and Annular FinsJournal of Heat Transfer, 1973
- Errors in the One-Dimensional Fin SolutionJournal of Heat Transfer, 1968