Optimum shape of radiation-cooled ring fins

Conclusions Figure 6 shows that V decreases as x₀ increases, as is to be expected, since the heat flux per unit length of root at a fixed Q₀ then decreases.Figure 6 also shows that the fin of (2.21) is the best of those considered. Such fins have very sharp edges, so it is better to consider a fin of the form of (2.9), which results in not more than 7% increase in weight for the x₀ considered. A fin of the type of (2.1) increases the weight by not less than 25%.The line with circles in Fig. 6 is the optimum V(x₀) for a ring fin of constant thickness (rectangular cross-section), as derived from [8]. It is clear that such a fin increases the weight by over 90% relative to the optimal forms.