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Heat and Mass Transfer

, Volume 39, Issue 5–6, pp 499–507 | Cite as

A numerical solution of two-dimensional hyperbolic heat conduction with non-linear boundary conditions

  • W. Shen
  • S. HanEmail author
Original

Abstract.

An explicit TVD scheme is used for two-dimensional non-Fourier heat conduction problems in the general coordinate system with both convection and radiation boundary conditions. The hyperbolic heat flux model is used to simulate the non-Fourier heat conduction. Because of the wave nature of hyperbolic equations, characteristics are used to find the unknown value (either heat flux or temperature) on the boundaries. For convective boundary the unknown temperature is calculated explicitly; for radiation boundary Newton's iteration method is applied to find the boundary temperature. Results of numerical examples agree with the physical expectations indicating that the present approach can be used for modeling non-Fourier heat conduction with complex boundary conditions.

Keywords

Heat Flux Thermal Wave Left Boundary Surface Radiation Transient Heat Conduction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, Tennessee Technological University, Cookeville, TN 38505, USA

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