My. Kim et al., Unstructured finite-volume method for radiative heat transfer in a complextwo-dimensional geometry with obstacles, NUM HEAT B, 39(6), 2001, pp. 617-635
The radiative heat transfer in a complex two-dimentional enclosure with obs
tacles with participating medium is very important in practical engineering
applications. In order to deal with this problem, in this study the finite
-volume method (FVM) for radiation has been derived using the unstructured
grid system. A general discretization equation was formulated by introducin
g the directional weight and the step scheme for spatial differencing. For
its comparison and validation, two test eases, an equilateral triangular en
closure and a square enclosure with baffle, were chosen. Then more complex
and practical cases, such as a semicircular enclosure with cylinder hole, a
square enclosure with finned internal cylinder, and a furnace with embedde
d cooling pipes, were investigated. All the results obtained by the unstruc
tured FVM agreed very well with the exact solutions as well as the results
obtained by the zone method Furthermore, the wiggling behavior occurring in
the blocked-off FVM ns not produced by the unstructured FVM. Three types o
f manipulation of control angle overlap were also examined here. It was fou
nd that the solutions depended on the type of manipulation of control angle
overlap, especially when the number of control angles was small, Usually,
both the pixelation method and tract treatment introduced here yielded betw
een solutions than the hold approximation.