View factor calculations between triangular surfaces
Keywords:
view factor, Bretzhtsov’s cross-root, radiative heat transfer, triangular surfacesAbstract
The view factor between surfaces is of paramount importance in the assessment of radiant energy exchange. Nowadays the available technical literature lacks the analytical expression for estimating the vision factor for combining triangular surfaces. An analytical solution requires the addition of multiple integrals, due to the changes in the integration contours, which becomes more complex for irregular contours. This research aims to develop an expression to calculate the view factor between 32 triangular geometric configurations with common edge and included angle θ. To establish comparisons, 48 cases with various geometric relationships were calculated, using analytical solution (AS), numerical integration by means of Simpson's rule 1/3 (SMR), Sauer's graphical solution (SGS) and Bretzhtsov's cross roots (BCR). From eight basic geometries, the vision factor for the remaining 24 combinations was calculated using the addition rule. In all cases, identical fit values of RMS and SGS respect to AS were obtained, while RCB showed the best correlation in all cases examined. The results of this research revel that the proposal constitutes a suitable tool to be used in thermal engineering given the practical nature of the contribution and reasonable values of obtained fits.Downloads
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