White potatoes (k = 0.50 W/m · °C and α = 0.13 × 10–6 m2/s) that are initially at a unifor...

White potatoes (k = 0.50 W/m · °C and α = 0.13 × 10–6 m2/s) that are initially at a uniform temperature of 25°C and have an average diameter of 6 cm are to be cooled by refrigerated air at 2°C flowing at a velocity of 4 m/s. The average heat transfer coefficient between the potatoes and the air is experimentally determined to be 19 W/m2 · °C. Determine how long it will take for the center temperature of the potatoes to drop to 6°C. Also, determine if any part of the potatoes will experience chilling injury during this process.