A NOTE ON THE CONSTANT THERMAL CONDUCTIVITY HYPOTHESIS AND ITS CONSEQUENCE FOR CONDUCTION HEAT TRANSFER PROBLEMS

Authors

  • R. M. S. Gama Universidade do Estado do Rio de Janeiro

DOI:

https://doi.org/10.5380/reterm.v13i2.62094

Keywords:

conduction heat transfer, Kirchhoff transformation, thermal conductivity

Abstract

This work discuss the usual constant conductivity assumption and its consequences when a given material presents a strong dependence between the temperature and the thermal conductivity. The discussion is carried out considering a sphere of silicon with a given heat generation concentrated in a vicinity of its centre, giving rise to high temperature gradients. This particular case is enough to show that the constant thermal conductivity hypothesis may give rise to very large errors and must be avoided. In order to surpass the mathematical complexity, the Kirchhoff transformation is used for constructing the solution of the problem. In addition, an equation correlating thermal conductivity and the temperature is proposed.

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Published

2014-12-31

How to Cite

Gama, R. M. S. (2014). A NOTE ON THE CONSTANT THERMAL CONDUCTIVITY HYPOTHESIS AND ITS CONSEQUENCE FOR CONDUCTION HEAT TRANSFER PROBLEMS. Revista De Engenharia Térmica, 13(2), 48–51. https://doi.org/10.5380/reterm.v13i2.62094

Issue

Vol. 13 No. 2 (2014)

Section

Ciência/Science

License

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