ラプラス変換を用いた一次元非定常熱伝導逆問題の解析的解法 : 円筒, 球座標系への適用(熱工学, 内燃機関, 動力など)

抄録

An analytical method has been developed to solve an inverse problem for one-dimensional heat conduction in cylindrical and spherical coordinates by using Laplace transformation. This method successfully derives the inverse solution by which the surface temperature and heat flux can be predicted well for any kind of boundary condition with a constant initial condition. The inverse solution obtained by the temperatures at two different measuring points can predict the surface temperature and heat flux with higher accuracy than that at a single measuring point, although the single measuring point is enough for the cylindrical and spherical coordinates to predict them. The same order of accuracy of estimation has been maintained between cylindrical and spherical coordinate.