無媒質拡散放射系の放射輸送関数の解析法について

抄録

The radiant heat transfer problem in an enclosure with both of diffuse radiation at surfaces and non-radiative medium can be analized using the radiant transport function, which is useful to express the radiant transfer characteristics in the enclosure and to get the solution corresponding to any surface temperature. The radiant transport function should be analytically solved, because which has at least two variables. The generalized formula for the radiant transport function is composed of the integral equation. Thereby, an approximate method getting the analytical solution is indicated, using the separated kernel for the integral equation. Regarding the two-dimensional rectangular space, the approximate solution and the error estimation for the radiant transport function are presented, substituting the normal orthogonal function for the kernel. In a square space a calculation is performed to get the solution of the radiant transport function, using the Legendre polynomial as the normal orthogonal function. The result shows that the solution is reasonable and the error estimation is not so large excluding the points close to the end of both sides probably owing to the quality of the Legendre polynomial.