ANALITYCAL SOLUTION OF THE ONE DIMENSIONAL NONLINEAR TRANSIENT HEAT CONDUCTION PROBLEM USING GREEN’S FUNCTIONS

Authors

  • S. S. Ribeiro State University of Minas Gerais
  • G. C. Oliveira State University of Minas Gerais
  • J. R. F. Oliveira Federal University of Uberlândia
  • G. Guimarães Federal University of Uberlândia

DOI:

https://doi.org/10.5380/reterm.v20i2.81788

Keywords:

nonlinearity, heat conduction, Kirchhoff transformation, Green’s functions

Abstract

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.

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Published

2021-07-28

How to Cite

Ribeiro, S. S., Oliveira, G. C., Oliveira, J. R. F., & Guimarães, G. (2021). ANALITYCAL SOLUTION OF THE ONE DIMENSIONAL NONLINEAR TRANSIENT HEAT CONDUCTION PROBLEM USING GREEN’S FUNCTIONS. Revista De Engenharia Térmica, 20(2), 55–59. https://doi.org/10.5380/reterm.v20i2.81788

Issue

Vol. 20 No. 2 (2021)

Section

Ciência/Science

License

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