1.  

Fascinated with Dr. Hargrove's "potato in a swimming pool analogy", a group of engineering professionals (aka persons in his Heat Transfer class) decide to do an experiment. Using a potato modeled as a sphere of radius 36 mm and heated to a uniform initial temperature of 475K, they drop it into a swimming pool filled with water at 290K and with a convective coefficient of 100 W/m2K. They pull the potato out of the water exactly 90 seconds later and immediately measure its center temperature. Using an appropriate transient analysis method, what should they expect the center temperature to be? Assume the following properties of the potato: = 1100 kg/m3, cp = 2650 J/kgk, k = 24 W/mK.