The following CDF tool calculates the normalized fin temperature ($\backslash theta(x)/\backslash theta\_\{base\}$) for two cases:

* Case 1: Adiabatic fin tip

* Case 2: Infinitely long fin

In both cases, the cross sectional area of the fin is assumed to be constant.

We use the conventional definition of the fin eigenvalue $m$:

$m\; =\; \backslash sqrt\{\backslash frac\{hP\}\{kA\_c\}\}$

where:

* ''h'' is the convective heat transfer coefficient

* ''P'' is the fin perimeter

* ''k'' is the fin's thermal conductivity

* $A\_c$ is the fin's cross-sectional area

===Graphical CDF Tool===

The CDF tool follows. Note that the distance from the fin base is normalized by the fin length (i.e., ''x'' in the formulas below represents the dimensional distance from the base divided by the fin length ''L'').

[[File(Fin_temp.cdf)]]