Analytical Approach Solution with Laplace Transformation to the Inverse Problem of One Dimensional Heat Conduction.

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  • ラプラス変換を用いた一次元熱伝導逆問題の解析的解法
  • ラプラス ヘンカン オ モチイタ 1ジゲン ネツ デンドウ ギャクモンダイ ノ カイセキテキカイホウ

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An analytical method has been developed for the inverse heat conduction problem, when the temperatures are known at two positions in a finite body. On the basis of these known temperatures, a closed form solution is determined for the transient temperatures beyond the two positions by using Laplace transform technique. The method first approximates the temperature data with a half polynomial power series of time. The expressions for the surface temperature and the surface heat flux are explicitly obtained in the form of the power series of time. Numerical results for some representative problems show that the temperature and heat flux can be predicted well by this method.

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