(C) The composite wall of a refrigerator consists of three different materials; A, B, and C. Two of the used materials have known thermal conductivity, ka = 30 W/m. K and kc=45 W/m. K, and known thickness, La=0.20 m and Lc=0.15 m. The third material, B, which is sandwiched between materials A and C, is of known thickness, LB =0.15 m, but unknown thermal conductivity kB. Under steady-state operating conditions, measurements reveal an outer surface temperature of Ts,0 20°C, an inner surface temperature of Ts,i = 600°C, and a refrigerator air temperature of To 800°C. The inside convection coefficient h is known to be 25 W/m².K. What is the value of thermal conductivity for material B?

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(C) The composite wall of a refrigerator consists of three different materials; A, B, and C. Two of
the used materials have known thermal conductivity, ka = 30 W/m. K and kc=45 W/m. K, and
known thickness, La=0.20 m and Lc= 0.15 m. The third material, B, which is sandwiched between
materials A and C, is of known thickness, LB = 0.15 m, but unknown thermal conductivity kB. Under
steady-state operating conditions, measurements reveal an outer surface temperature of Ts,o =
20°C, an inner surface temperature of Ts,i = 600°C, and a refrigerator air temperature of To =
800°C. The inside convection coefficient h is known to be 25 W/m².K. What is the value of thermal
conductivity for material B?
T
S, O
kA
kg
Air
T, h
LA
Figure 2: Composite wall configuration described in part C.
Transcribed Image Text:(C) The composite wall of a refrigerator consists of three different materials; A, B, and C. Two of the used materials have known thermal conductivity, ka = 30 W/m. K and kc=45 W/m. K, and known thickness, La=0.20 m and Lc= 0.15 m. The third material, B, which is sandwiched between materials A and C, is of known thickness, LB = 0.15 m, but unknown thermal conductivity kB. Under steady-state operating conditions, measurements reveal an outer surface temperature of Ts,o = 20°C, an inner surface temperature of Ts,i = 600°C, and a refrigerator air temperature of To = 800°C. The inside convection coefficient h is known to be 25 W/m².K. What is the value of thermal conductivity for material B? T S, O kA kg Air T, h LA Figure 2: Composite wall configuration described in part C.
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