ラプラス変換を用いた2次元非定常熱伝導の逆問題解析 : 測定点数と内挿方法について(熱工学,内燃機関,動力など)

抄録

An analytical method has been developed for inverse problem of two-dimensional heat conduction by using Laplace transform technique. The inverse problem is solved only for two unknown surface conditions and the other surfaces are insulated in a finite rectangular body. In actual measurement, number of measuring points in a solid is usually limited so that the number of the measured temperatures required to approximate the temperature change in it is short to obtain an approximate function with a half polynomial power series of time and the Fourier series of eigen function. In order to clear this shortage, the third order Spline method is recommended to interpolate unknown temperature at a different point from the measured temperatures and a minimal requirement of the temperature measurements is also recommended to be 8 points enough. The results calculated thereby for some representative cases show that the surface temperature and the surface heat flux can be predicted at good agreement compared with the given surface condition.