Optimum dimensions of convecting–radiating fins:: Part I — longitudinal fins

The optimum dimensions of convective radiating extended surfaces or fins have been determined. Several fin shapes, profiles, have been analyzed including those treated by Gardner (Trans. ASME 69 (1945) 621–631). Consideration is given to radiating fins and convective–radiating fins. In addition the cases of non-zero temperature sink, and the influence of the temperature dependent thermal conductivity and emissivity have been investigated. The results are generalized by expressing the fin’s optimum thickness, height, and heat dissipation in dimensionless form. They are presented graphically and in polynomial form the latter being particularly useful for computerized calculations.