A NOTE ON TRANSIENT HEAT TRANSFER PROBLEMS WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY AND THERMAL DIFFUSIVITY

Authors

  • R. P. S. da Gama Pontifícia Universidade Católica do Rio de Janeiro Departamento de Engenharia Química e Materiais
  • J. R. Cerqueira Universidade do Estado do Rio de Janeiro Departamento de Engenharia Mecânica
  • R. M. S. da Gama Universidade do Estado do Rio de Janeiro Departamento de Engenharia Mecânica

DOI:

https://doi.org/10.5380/reterm.v19i1.76439

Keywords:

nonlinear heat transfer, temperature dependent thermal diffusivity, Kirchhoff transformation, numerical procedure

Abstract

In this work it is presented a numerical procedure for solving transient heat transfer problems in which the thermal diffusivity is strongly dependent on the temperature, with the aid of the Kirchhoff transformation associated to an usual finite difference approach. The first step consists of eliminating the nonlinear terms associated to the derivatives with respect to the position, by means of a Kirchhoff transformation, giving rise to a partial differential equation with only one nonlinear term (involving the coefficient of the derivative with respect to the time). The advance in time is carried out assuming the thermal diffusivity evaluated at a known temperature, giving rise to a semi-implicit scheme. Comparisons between this approach and the usual hypothesis are carried out in order to illustrate the effect of the dependence between the temperature and the thermal diffusivity. Some typical results are presented, based on the (6H-SiC) Silicon Carbide properties.

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Published

2020-09-09

How to Cite

Gama, R. P. S. da, Cerqueira, J. R., & Gama, R. M. S. da. (2020). A NOTE ON TRANSIENT HEAT TRANSFER PROBLEMS WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY AND THERMAL DIFFUSIVITY. Revista De Engenharia Térmica, 19(1), 90–96. https://doi.org/10.5380/reterm.v19i1.76439

Issue

Vol. 19 No. 1 (2020)

Section

Ciência/Science

License

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