Question

A 4-mm thick, 20cm diameter cast iron frying pan (K = 55 W/mK) is used on an induction stovetop. Induction stovetops work by creating a dynamic magnetic field in the pan, thereby resulting in energy being generated inside the pan material itself. The induction stovetop surface is made from a glass-ceramic material, which has a very low thermal conductivity, and consequently the bottom surface of the pan may be considered as perfectly insulated during operation. For a given stovetop setting, the pan is subjected to a total energy generation rate of 1300W, and its inside surface temperature (cooking surface) is measured to be 180°C. Find the temperature distribution (specific solution) across the thickness of the pan under these new conditions.

Answer 1