Question: Consider a cubic block whose sides are 5 cm long and a cylindrical block whose height and diameter are also 5 cm. Both blocks are

Consider a cubic block whose sides are 5 cm long and a cylindrical block whose height and diameter are also 5 cm. Both blocks are initially at 20°C and are made of granite (k = 2.5 W/m·K and α = 1.15 × 10-6m2/s). Now both blocks are exposed to hot gases at 500°C in a furnace on all of their surfaces with a heat transfer coefficient of 40 W/m2·K. Determine the center temperature of each geometry after 10, 20, and 60 min.

5 cm 5 cm 5 cm T,= 20°C -5 cm- 5 cm T,= 20°C Hot gases, 500°C

5 cm 5 cm 5 cm T,= 20C -5 cm- 5 cm T,= 20C Hot gases, 500C

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