Refractory bricks are used as linings for furnaces, and they generally have low thermal conductivity to minimize heat loss through the furnace walls. Consider a thick furnace wall lining with refractory bricks (k = 1.0 W/m·K and a = 5.08 * 10-7 m2/s), where initially the wall has a uniform temperature of 15°C. If the wall surface is subjected to uniform heat flux of 20 kW/m2, determine the temperature at the depth of 10 cm from the surface after an hour of heating time.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Refractory bricks are used as linings for furnaces, and
they generally have low thermal conductivity to minimize
heat loss through the furnace walls. Consider a thick furnace
wall lining with refractory bricks (k = 1.0 W/m·K and a =
5.08 * 10-7 m2/s), where initially the wall has a uniform temperature
of 15°C. If the wall surface is subjected to uniform
heat flux of 20 kW/m2, determine the temperature at the depth
of 10 cm from the surface after an hour of heating time.

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