Chapter 1, Problem 1.75P

Consider Problem 1.1.

1. If the exposed cold surface of the insulation is at $T_2=20°\text{C,}$ what is the value of the convection heat transfer coefficient on the cold side of the insulation if the surroundings temperature is $T_{\text{sur}}=320\text{K,}$ the ambient temperature is $T_{\infty }=5°\text{C,}$ and the emissivity is $\epsilon =0.95?$ Express your results in units of ${\text{W/m}}^{\text{2}}\cdot \text{K}$ and ${\text{W/m}}^{\text{2}}\cdot °\text{C}\text{.}$ Using the convective heat transfer coefficient you calculated in part (a), determine the surface temperature, $T_2,$ as the emissivity of the surface is varied over the range $0.05\le \epsilon \le \mathrm{0.95.}$ The hot wall temperature of the insulation remains fixed at $T_1=30°\text{C}\text{.}$ Display your results graphically.