Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X. Two-dimensional thermal analysis of a polygonal fin with two tubes on a square pitch. (English) Zbl 1189.80022 Int. J. Heat Mass Transfer 48, No. 14, 3018-3033 (2005). Summary: The boundary element method (BEM) has been used to investigate the two-dimensional temperature distribution and the flow of heat from a polygonal fin with two tubes on a square pitch. This numerical method is shown to be convergent, stable and consistent. The resultant heat flows from the fin and the tubes are presented in the form of fin performance ratios. The values of the two-dimensional fin performance ratios are almost identical to those obtained for a single radial rectangular fin of equivalent surface area. The one-dimensional fin performance indicators, fin performance ratio or fin efficiency can be used to predict the heat flows. However, the two-dimensional temperature distributions have revealed the existence of conductive paths between the two tubes depending upon the fin dimensions, the values of the heat transfer and material thermal conductivity, and the magnitude of the temperature differences between the two tubes and the surrounding air. Cited in 2 Documents MSC: 80A20 Heat and mass transfer, heat flow (MSC2010) 80M15 Boundary element methods applied to problems in thermodynamics and heat transfer Keywords:polygonal fins; fin performance indicators; heat flows; temperature distributions; conductive paths; boundary element method PDFBibTeX XMLCite \textit{L. Marin} et al., Int. J. Heat Mass Transfer 48, No. 14, 3018--3033 (2005; Zbl 1189.80022) Full Text: DOI