Monte Carlo technique for the determination of thermal radiation shape factors

The principles and equations of the Monte Carlo technique are outlined for determining thermal radiation shape factors. Equations for the ray tracings and intersection criteria needed to calculate the shape factors between plane walls, cylinders and spheres are presented. The equations presented and resulting shape factors are demonstrated with selected geometric configurations for which the shape factors are known. Computer results using the Monte Carlo technique of six geometric arrangements produced results within 2.2% of theoretically known shape factors.