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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/mK and kC = 50 W/mK, and known...

1. The composite wall of an oven consists of three materials, two of which are of known thermal conductivity, kA = 20 W/m•K and kC = 50 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 = 0.15m but the thermal conductivity kB is unknown.
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 convection coefficient h inside the oven is known to be 25 W/m2•K.  What is the value of kB?
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1. The composite wall of an oven consists of three materials, two of
which are of known thermal conductivity, kA = 20 W/m·K and kC = 50
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 = 0.15m but the thermal conductivity kB is unknown.
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
convection coefficient h inside the oven is known to be 25 W/m2·K.
What is the value of kB?

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