The thermal conductivity is linearly dependent on the temperature, λ = a + b ϑ. Prove equation (1.12) for the mean thermal conductivity λm.
The steady temperature profile ϑ = ϑ(x) in a flat wall has a second derivative d2ϑ/dx2> 0. Does the thermal conductivity λ = λ(ϑ) of the wall material increase or decrease with rising temperature?
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