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Methods of Solution of Equations of Heat Conduction with Constant Thermal Parameters and Without Reaction

  • J.-W. Vergnaud
  • J. Bouzon

Abstract

Solutions of the heat conduction equation are obtained for a variety of initial and boundary conditions when the thermal parameters — thermal conductivity λ, density ρ, specific heat C, and thus thermal diffusivity α — are constant. Usually solutions have one or two standard forms. One is in the form of a series of error functions or related integrals, which is most suitable for calculation in the early stages of heat conduction, as it converges rather quickly. The other is expressed in terms of a trigonometrical and exponential series, which is of interest for large values of time, because it converges very quickly under these conditions.

Keywords

Heat Conduction Thermal Diffusivity Error Function Line Source Heat Conduction Equation 
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 London Limited 1992

Authors and Affiliations

  • J.-W. Vergnaud
    • 1
  • J. Bouzon
    • 1
  1. 1.Laboratoire de Chimie des Matériaux et Chimie Industrielle, Faculté des Sciences et TechniquesUniversité de Saint-EtienneSaint-Etienne Cédex 2France

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