Question

A 4-mm thick, 20cm diameter cast iron frying pan (K = 55 W/mK) is heated on a traditional stovetop range. Under certain stovetop settings, the temperature on the bottom surface of the pan (in contact with the heating element) is measured to be 160°C and that on the inside of the pan (cooking surface) is 150°C. Using the heat diffusion equation, find an expression (specific solution) for the temperature distribution across the thickness of the pan.

Answer 1