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(Solved): A chemical reactor operates at a high internal temperature of T_(inner )=600K and is surrounded by a ...
A chemical reactor operates at a high internal temperature of T_(inner )=600K and is surrounded by
ambient air at T_(\infty )=300K. The reactor requires an insulation layer to minimize heat loss while
maintaining the outer surface temperature of the insulation at T_(outer )<=350K.
Design Parameters:
Reactor dimensions:
Radius: r_(reactor )=1.5m
Length: L=4m
Heat transfer coefficient between the outer surface of the insulation and the air:
h_(air)=10(W)/(m^(2))-K
Maximum allowable heat loss:
Q_(max)^(-)=2000W
Available insulation materials:
Material A:
kA=0.05(W)/(m)-K
Material B:
kB=0.1(W)/(m)-K,
Material C:
kC=0.2(W)/(m)-K
Tasks:
Select the most suitable material based on the criteria: Q^(-)<=Q_(max )
Determine the minimum thickness of insulation (t) required for selected material to ensure the outer
surface temperature T_(outer )<=350K.
Calculate the corresponding heat loss Q^(-)for each material and thickness.