An exact solution for the heat transfer process in infinite cylindrical fins with any temperature-dependent thermal conductivity

This work presents a new approach for establishing a relationship between the temperature and the spatial position, for infinite cylindrical fins, providing an innovative tool for this class of phenomena. The results are valid even for nonlinear heat transfer processes, especially those in which the...

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Bibliographic Details
Published in:Thermal science and engineering progress 2022-07, Vol.32, p.101333, Article 101333
Main Authors: Nigri, Michelle R., Pedrosa-Filho, José J., Gama, Rogério M.S.
Format: Article
Language:English
Subjects:
Exact solution
Infinite cylindrical fins
Temperature-dependent thermal conductivity
Unbounded domain
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Summary:This work presents a new approach for establishing a relationship between the temperature and the spatial position, for infinite cylindrical fins, providing an innovative tool for this class of phenomena. The results are valid even for nonlinear heat transfer processes, especially those in which the thermal conductivity depends on the local temperature. Exact formulas for the temperature distribution as well as for the total heat flux are provided in a simple and systematic way.
ISSN:2451-9049
2451-9049
DOI:10.1016/j.tsep.2022.101333