A 65-kg beef carcass (k = 0.47 W/m K and = 0.13 10 -6

A 65-kg beef carcass (k = 0.47 W/m · K and α = 0.13 × 10^-6 m²/s) initially at a uniform temperature of 37°C is to be cooled by refrigerated air at 210°C flowing at a velocity of 1.2 m/s. The average heat transfer coefficient between the carcass and the air is 22 W/m² · K. Treating the carcass as a cylinder of diameter 24 cm and height 1.4 m and disregarding heat transfer from the base and top surfaces, determine how long it will take for the center temperature of the carcass to drop to 4°C. Also, determine if any part of the carcass will freeze during this process.

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Air -10°C 1.2 m/s Beef 37°C