The spine (fin) efficiency is abandoned and the input admittance, defined as the ratio of the heat dissipated by the spine to the temperature excess at the spine base, is established as the parameter for comparison of the performance of the spines of circular, square and elliptical cross section. It is shown that the square cross section outperforms the circular cross section and by adjusting the aspect ratio of the elliptical spine, the spine can meet and eventually surpass the performance of the square spine.

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