Effect of Variable Thermal Conductivity Calibration Functions on Fin Temperature Distribution

Abstract:

In this article, we introduce a new thermal conductivity calibration function in modeling heat transfer through extended surfaces. The variable thermal conductivity functions are studied on a stand alone basis and further compared to one another. The calculations are carried out using the Variational Iteration Method (VIM) which is an analytical solution technique. The series solutions are bench-marked against the numerical results obtained by applying the Runge-Kutta fourth order method coupled with shooting technique. The effects of some physical parameters such as the thermogeometric fin parameter and thermal conductivity gradient, on temperature distribution are illustrated and explained.

• Periodical: Defect and Diffusion Forum (Volume 393)
• Pages: 47-58
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.393.47
• Online since: June 2019
• Authors: Partner Luyanda Ndlovu*, Raseelo Joel Moitsheki
• Keywords: Analytical Solution (ADM), Heat Transfer, Variable Thermal Conductivity, VIM

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