Fin Temperature CDF Tool
 Version 1
 by Timothy S Fisher
 Version 2
 by Timothy S Fisher
Deletions or items before changed
Additions or items after changed
1  === Calculation of Fin Temperature for Adiabatic Tip and Infinite Fins ===  

2  
3    The following CDF tool calculates the normalized fin temperature (<math>\theta(x)/\theta_{base}</math> for two cases:

+  The following CDF tool calculates the normalized fin temperature (<math>\theta(x)/\theta_{base}</math>) for two cases:

4  * Case 1: Adiabatic fin tip  
5  * Case 2: Infinitely long fin  
6  +  In both cases, the cross sectional area of the fin is assumed to be constant.


7  
8  We use the conventional definition of the fin eigenvalue $m$:  
9  
10    <math>m = \sqrt{\frac{hP}{kA_c}}</math> 
+  <math>m = \sqrt{\frac{hP}{kA_c}}</math>

11  +  
12  +  where:


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


14  +  * ''P'' is the fin perimeter


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


16  +  * <math>A_c</math> is the fin's crosssectional area


17  +  
18  +  ===Graphical CDF Tool===


19  +  
20  +  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'').


21  +  
22  +  [[File(Fin_temp.cdf)]] 