USE OF A MONTE−CARLO TECHNIQUE FOR THE DETERMINATION OF RADIATION EXCHANGE AREAS IN 'LONG FURNACE' MODELS
Conventional numerical techniques for determining radiation exchange areas cannot be readily employed in furnaces of complicated geometry. This paper examines the use of a Monte-Carlo technique for this purpose. The approximate exchange areas determined by this technique in a long-furnace model (L.F.M.) are compared with values obtained by numerical integration. Although large differences between the methods are apparent for some of the "zone pairs" in the enclosure, the predicted furnace performance was relatively unaffected. The Monte-Carlo technique can, therefore, be used with considerable confidence in "long-furnace" models. The technique is then applied to a long furnace of complicated shape and it is shown that changes in the geometry can significantly affect the heat flux profile along the length of the furnace. An accurate representation of furnace geometry is thus important when a designer wishes to predict the variation in heating rate through the furnace. The use of Monte-Carlo methods is particularly appropriate in these cases.