An exact solution for the heat transfer process in infinite cylindrical fins with any temperature-dependent thermal conductivity. (1st July 2022)

• Record Type: Journal Article
• Authors: Nigri, Michelle R.; Pedrosa-Filho, José J.; Gama, Rogério M.S.
• Is Part Of: Thermal science and engineering progress. Volume 32(2022)
• Publication Date: 2022-07-01
• Subjects: Temperature-dependent thermal conductivity -- Infinite cylindrical fins -- Unbounded domain -- Exact solution; Heat engineering -- Periodicals; Heat engineering; Thermodynamics; Periodicals; 621.402
• DOI: 10.1016/j.tsep.2022.101333
• Languages: English
• ISSNs: 2451-9049

Abstract

Abstract: 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.