A 30 cm thick wall of reactor is made up of an inner layer of fire brick (k₁ = 0.85 W/mK) covered with a layer of insulation (k₂ = 0.15 W/mK). The reactor operates at a temperature of 1600 K whilst the ambient temperature is 295 K. Calculate the thickness of fire brick and insulation which gives minimum heat loss. Also work out the heat loss presuming that the insulating material has a maximum temperature of 1475 K. If the calculated heat loss is unacceptable, would the addition of another layer of insulation be a satisfactory solution? Solution: Under steady state conditions, the heat flux is constant throughout the wall and is same for each layer. Then for unit area of the wall, 008-00
Ques.1 A 30 cm thick wall of reactor is made up of an inner layer of fire brick (k₁ = 0.85 W/mK) covered with a layer of insulation (k₂ = 0.15 W/mK). The reactor operates at a temperature of 1600 K whilst the ambient temperature is 295 K. Calculate the thickness of fire brick and insulation which gives minimum heat loss. Also work out the heat loss presuming that the insulating material has a maximum temperature of 1475 K. If the calculated heat loss is unacceptable, would the addition of another layer of insulation be a satisfactory solution? Solution: Under steady state conditions, the heat flux is constant throughout the wall and is same for each layer. Then for unit area of the wall, 008-00
Ans:944.45 w/m2
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