In: Mechanical Engineering
Consider the following schematic for an experiemental methodology to measure the convection heat transfer coefficient distrubution on an airfoil. The metal sheathing is supplied with a heat generation rate of 20 * 106 W/m3. The thickness of the metal sheathing is t = 30 um, and the sheathing's thermal conductivity is k=25 W/mK. The 30 surface locations where the temperatures are measured are spaced evenly at 2mm apart. The measured temperatures are listed in the table below.
| Location | Temperature (degrees C) |
| 1 | 29.77 |
| 2 | 29.67 |
| 3 | 29.71 |
| 4 | 29.83 |
| 5 | 30.06 |
| 6 | 30.47 |
| 7 | 30.98 |
| 8 | 31.67 |
| 9 | 32.66 |
| 10 | 34.18 |
| 11 | 36.29 |
| 12 | 38.78 |
| 13 | 41.29 |
| 14 | 43.51 |
| 15 | 44.68 |
| 16 | 44.84 |
| 17 | 43.29 |
| 18 | 39.89 |
| 19 | 36.51 |
| 20 | 34.36 |
| 21 | 33.13 |
| 22 | 32.64 |
| 23 | 32.63 |
| 24 | 32.77 |
| 25 | 33.16 |
| 26 | 33.52 |
| 27 | 33.85 |
| 28 | 33.51 |
| 29 | 31.91 |
| 30 | 30.42 |
Accounting for conduction in the metal sheathing, detemine the convection heat transfer coefficients at the 30 numbered locations.