Mathematical Extrapolating of Highly Efficient Fin Systems

Table 1

Comparisons between the numerical and the analytical results.

Fin type	Thermal; condition	Numerical; computation of 𝜂∞	Analytical; computation of 𝜂∞	Percent difference
Straight-triangular	𝑚𝐿=2.5	0.4703	0.4704	0.02%
Straight-parabolic	𝑚𝐿=2.0	0.5457	0.5459	0.04%
Straight-exponential	𝑋=2.0	0.4414	0.4419	0.1%
Pin-triangular	𝑚𝐿=1.5	0.7753	0.7756	0.04%
Pin-parabolic	𝑚𝐿=1.0	0.9174	0.9178	0.04%
Pin-exponential	𝑋=2.0	0.5763	0.5764	0.02%