Open AccessANALITYCAL SOLUTION OF THE ONE DIMENSIONAL NONLINEAR TRANSIENT HEAT CONDUCTION PROBLEM USING GREEN’S FUNCTIONS
Author(s) -
Stella Rodrigues Ferreira Lima Ribeiro,
Gabriela Costa Oliveira,
José Ricardo Ferreira Oliveira,
Gilmar Guimarães
Publication year - 2021
Publication title -
engenharia térmica
Language(s) - English
Resource type - Journals
ISSN - 1676-1790
DOI - 10.5380/reterm.v20i2.81788
Subject(s) - thermal conduction , transient (computer programming) , nonlinear system , work (physics) , transformation (genetics) , mathematics , thermal , mathematical analysis , thermodynamics , computer science , physics , chemistry , biochemistry , quantum mechanics , gene , operating system
Analytical solutions showed to be an important and strong tool for understand thermal problems using mathematic tools. In this work we propose an approach about one dimensional analytical solution for a nonlinear transient heat conduction problem, were used mathematical elements such as Kirchhoff transformation, Green’s functions and the combination of them. The combination of this two methods showed that was possible to determinate an analytical solution for the nonlinear thermal problem, and showed a good approximation when compared with results from numerical methods.