軸対称系における角関係の一計算法

概要

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A new method is proposed to evaluate view factor integrals in an axisymmetric system. View factor, F_<dAi-Aj>, between a small surface element dA_i and an iso-thermal ring element A_j is directly integrated by means of an analytical equation which is obtained by a line integration along the edge of the visible area of the ring element A_j. This method does not require sub-division of the ring element into smaller flat surfaces, which is a very common way among the previous methods. On a ring element A_j the area which is directly seen by dA_i is determined by simple geometrical projection of any obstacle existing between dA_i and A_j onto A_j plane. This method reduces CPU time for view factor integration encountered in a radiative heat transfer analysis of a Czochralski furnace with many components by a factor of as much as 100.
1993-09-30