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An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins

Author

Listed:
  • E. D. Correa
  • J. M. Quirino
  • R. L. Sobral
  • J. F. Corrêa
  • R. M. S. Gama
  • Ming Mei

Abstract

The present work shows an analytical and a numerical method for heat transfer nonlinear problems in porous fins using the Darcy model. Numerical simulations are carried out with the aid of a sequence of linear problems, each of them possessing an equivalent minimum principle, that has as its limit the solution of the original problem. The nonlinear convection-radiation heat transfer process is considered and simulated by means of a finite difference scheme. Results showed the relevance of the radiation for realistic thermal mapping in porous media with percentage errors of up to 40% for the last nodes.

Suggested Citation

  • E. D. Correa & J. M. Quirino & R. L. Sobral & J. F. Corrêa & R. M. S. Gama & Ming Mei, 2022. "An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-12, January.
    • Handle: RePEc:hin:jnlamp:9033324
    DOI: 10.1155/2022/9033324
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