Chapter 4, Problem 23P

After heat treatment, the 2-cm-thick metal plates $\text{(k = 180 W/m}\text{.K, }p=2800{\text{ kg/m}}^{\text{3}}\text{, }and{\text{ c}}_{\text{p}}\text{= }880\text{ J/kg}\text{.K)}$ and are conveyed through a cooling chamber with a length of 10 m. The plates enter the cooling chamber at an initial temperature of 500°C. The cooling chamber maintains a temperature of 10°C, and the convection heat transfer coefficient is given as a function of the air velocity blowing over the plates $h=33V^{0.8}$, where Ii is in W/m² K and V is in m/s. To prevent any incident of thermal burn, it is necessary for the plates to exit the cooling chamber at a temperature below 50°C. In designing the cooling process to meet this safety criterion, use appropriate software to investigate the effect of the air velocity on the temperature of the plates at the exit of the cooling chamber. Let the air velocity vary from 0 to 40 m/s, and plot the temperatures of the plates exiting the cooling chamber as a function of air velocity at the moving plate speed of 2, 5, and 8 cm/s.