Chapter 4, Problem 4.71P

Consider using the experimental methodology of Problem4.70 to determine the convection coefficient distributionabout an airfoil of complex shape.

Accounting for conduction in the metal sheathing andradiation losses to the large surroundings, determine theconvection heat transfer coefficients at the locationsshown. The surface locations at which the temperaturesare measured are spaced 2 mm apart. The thickness ofthe metal sheathing is $t=20\mu \text{m,}$ the volumetric generationrate is $\stackrel{.}{q}=20\times {10}^6{\text{W/m}}^3,$ the sheathing’s thermalconductivity is $k=25\text{W/m}\cdot \text{K,}$ and the emissivityof the painted surface is $\epsilon =\mathrm{0.98.}$ Compare yourresults to cases where (i) both conduction along thesheathing and radiation are neglected, and (ii) whenonly radiation is neglected.