Question

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.

Answer 1