An analysis of the errors due to the length of arc idealization in convective extended surfaces is presented. Longitudinal fins, spines, and annular fins of triangular profile are considered. It is shown that in fins that are designed according to the criteria established by Razelos and Georgiou 7, the resulting errors are negligibly small. These criteria suggest that fins should be designed with order of magnitude of aspect and Biot numbers of u = O(1) and Bi = O(0.01). It is also shown that for spines and annular fins only the Biot number restriction suffices to warrant negligible errors.
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