Journal of the Korean Society of Safety (한국안전학회지)

The Korean Society of Safety (한국안전학회)
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A Numerical Method for One-dimensional Inverse Heat Conduction Problem Using Laplace Transform

라플라스 변환을 이용한 1차원 열전도의 수치해석

  • Shin, Woon-Chul (Department of Mechanical Engineering, Dankook University) ;
  • Bae, Sin-Chul (Department of Mechanical Engineering, Dankook University)
  • 신운철 (단국대학교 기계공학과) ;
  • 배신철 (단국대학교 기계공학과)
  • Published : 2007.08.31
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Abstract

An numerical method to estimate thermal diffusivity has been developed for one-dimensional unsteady heat conduction problem, when the temperatures are know at two positions in a semi-infinite body. Using the closed form solution which has already derived an explicit solution for the inverse problem for one-dimensional transient heat conduction using Laplace transform technique, we first estimate the surface temperature. The thermal diffusivity can be estimated by using the estimated surface temperature and measured temperatures, which include some uncertainties. The estimated surface heat flux and thermal diffusivity are found to be in good agreement with those of the experimented conditions. This method will be extended to the simultaneous measurement of thermal diffusivity and thermal conductivity.

Keywords

References

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