Analytic calculation to find temperature at distance x | ||||||
L, Length of the fin | 0.15 m | |||||
w, width of the fin | 0.1 m | |||||
t, thickness of the fin | 0.015 m | |||||
h, heat transfer coeff. | 5.489 w/m2-k (for Al) | |||||
p, perimeter | 0.23 m | |||||
Ac, cross section Area | 0.0015 m2 | |||||
k, thermal conductivity | 236 w/m-k (for Al) | |||||
m | 1.888 | |||||
Tbase | 200˚C | |||||
Tinfinity | 20˚C | |||||
L(inm) | x(in m) | Numerator | Denominator | Theta(a)/theta(b) | T(x), ˚C | |
0.15 | 0 | 1.0439 | 1.0439 | 1.0000 | 200.0 | |
| 0.015 | 1.0358 | 1.0439 | 0.9923 | 198.6 | |
| 0.03 | 1.0286 | 1.0439 | 0.9823 | 197.4 | |
| 0.045 | 1.0222 | 1.0439 | 0.9792 | 196.3 | |
| 0.06 | 1.0166 | 1.0439 | 0.9738 | 195.3 | |
| 0.075 | 1.0118 | 1.0439 | 0.9692 | 194.5 | |
| 0.09 | 1.0078 | 1.0439 | 0.9654 | 193.8 | |
| 0.105 | 1.0047 | 1.0439 | 0.9624 | 193.2 | |
| 0.12 | 1.0023 | 1.0439 | 0.9601 | 192.8 | |
| 0.135 | 1.0008 | 1.0439 | 0.9586 | 192.6 | |
| 0.15 | 1.0000 | 1.0439 | 0.9579 | 192.4 | |