Fin Efficiency

Efficiency of a straight fin of uniform cross-section: η_fin = tanh(m·L) / (m·L).

Heat transferFin

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Formula, assumptions, and limits

m = \sqrt{\frac{2 h}{k \cdot t}}, \quad \eta_\text{fin} = \frac{\tanh(m L)}{m L}

Symbol	Meaning	Unit
$h$	External film coefficient	W/(m²·K)
$k$	Fin conductivity	W/(m·K)
$t$	Fin thickness	m
$L$	Fin length from base	m
$m·L$	Dimensionless fin parameter

Source: Incropera - Fundamentals of Heat and Mass Transfer

Efficiency of a straight fin of uniform cross-section: \u03b7_fin = tanh(m\u00b7L) / (m\u00b7L).