一次元非定常温度場の境界値同定に対する解析的解法 : 第2種, 第3種境界値問題への適用

概要

論文の詳細を見る
An analytical method using Laplace transformation has been developed for one-dimensional heat conduction. This method succeeded in explicitly deriving the analytical solution by which the surface temperature for the first kind of boundary condition can be predicted well. The analytical solutions for the surface temperature and heat flux are applied to the second and the third of boundary conditions. These solutions are also found to estimate the corresponding surface conditions with a high accuracy when the surface conditions smoothly change. On the other hand, when these conditions sharply change such as the first derivative of temperature with time, the accuracy of the estimation becomes a little less than that for a smooth condition. This trend in the estimation accuracy is similar irrespective of any kind of boundary condition.
2000-07-25