A chicken breast has just been thawed, and is at 32 F = 0 C. Assume that both sides of the chicken are exposed to the air, which is at T = 68 F = 20 C. We will assume that the chicken conductivity and properties are similar to that of water. The external heat transfer coefficient is 13 W/m2-K. Let the piece of chicken be a perfect rectangular slab 1 cm x 8 cm x 12 cm. Bacteria will start growing quickly when T = 60 F = 15.6 C, and in this problem we will find how long it takes for the center of the chicken to reach this temperature.
a. Is a lumped analysis appropriate for this problem? Explain your logic using appropriate equations. Bi = __________ Lumped analysis OK: yes / no
b. Estimate the time for the center of the chicken to reach T = 60 F = 15.6 C, using a lumped analysis (regardless of your conclusion from part a). t = __________ sec