Question

In a meat processing plant, 0.01-m-thick steaks (k = 0.45 W/m·K and α = 0.91 × 10⁻⁷ m²/s) that are initially at 25°C are to be cooled by passing them through a refrigeration room at -14°C. The heat transfer coefficient on both sides of the steaks is 9 W/m²·K. If both surfaces of the steaks are to be cooled to 2°C, determine how long the steaks should be kept in the refrigeration room (round to one decimal place). Solve this problem using analytical one-term approximation method. (Given: λ₁=0.3111, A₁=1.0161)

The length of time for the steaks to be kept in the refrigerator is

Answer 1