## Related questions with answers

The curing process of the mentioned example involves exposure of the plate to irradiation from an infrared lamp and attendant cooling by convection and radiation exchange with 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. Consider conditions for which the oven walls are at $200^{\circ} \mathrm{C}$, airflow over the plate is characterized by $T_{\mathrm{x}}=20^{\circ} \mathrm{C}$ and $h=15 \mathrm{~W} / \mathrm{m}^2 \cdot \mathrm{K}$, and the coating has an emissivity of $\varepsilon=0.5$. What is the temperature of the coating?

Solution

VerifiedFirst we will start by writing down the information :

$T_\infty = 20 \text{ C} = 293 \text{ K}$

$T_{walls} = 200 \text{ C} = 473 \text{ K}$

$\epsilon = 0.5$

$h = 15 \frac{\text{ W}}{\text{m}^2}$

We also have the Stefan Boltzmann constant which value is :

$\sigma = 5.67 \cdot 10^{-8} \frac{\text{W}}{\text{m}^2 \text{K}^4}$

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