The composite wall of an oven consists of three materials, two of which are of known thermal conductivity, kA  20 W/m  K and kC50 W/m  K, and known thickness, LA 0.30 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 an oven air temperature of T  800°C. The inside convection coefficient h is known to be 25 W/m2  K. What is the value of kB?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.39P
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The composite wall of an oven consists of three materials, two of which are of known thermal conductivity, kA  20 W/m  K and kC50 W/m  K, and known thickness, LA 0.30 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 an oven air temperature of T  800°C. The inside convection coefficient h is known to be 25 W/m2  K. What is the value of kB?

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