Chapter 4, Problem 48P

In a meat processing plant, 2-cm-thick steaks $(k=0.45\text{ W/m}\text{.K},\alpha \text{ = 0}\text{.91 }\times {\text{ 10}}^{\text{-7}}{\text{ m}}^{\text{2}}\text{/s)}$ and that are initially at 25°C are to be cooled by passing them through a refrigeration room at - 11°C. The heat transfer coefficient on both sides of the steaks is 9 W/m2K. 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. Solve this problem using the analytical one-term approximation method.