Chapter 1, Problem 1.82P

The curing process of Example 1.9 involves exposure of the plate to irradiation from an infrared lamp and attendant cooling by convection and radiation exchangewith the surroundings. Alternatively, in lieu of the lamp, heating may be achieved by inserting the plate in an oven whose walls (the surroundings) are maintained at an elevated temperature.

1. Consider conditions for which the oven walls are at $200°\text{C,}$ airflow over the plate is characterized by $T_{\infty }=20°\text{C}$ and $h=15{\text{W/m}}^{\text{2}}\cdot \text{K,}$ and the coating has an emissivity of $\epsilon =\mathrm{0.5.}$ What is the temperature of the plate?
2. For ambient air temperatures of 20, 40, and $60°\text{C,}$ determine the plate temperature as a function of the oven wall temperature over the range from 150 to $250°\text{C}\text{.}$ Plot your results, and identify conditions for which acceptable curing temperatures between 100 and $110°\text{C}$ may be maintained.