Consider the fireclay brick wall of Example 1.1 that is operating under different thermal conditions. The temperature distribution, at an instant in time, is \(T(x)=a+\) \(b x\) where \(a=1400 \mathrm{~K}\) and \(b=-1000 \mathrm{~K} / \mathrm{m}\). Determine the heat fluxes, \(q_{x}^{\prime \prime}\), and heat rates, \(q_{x}\), at \(x=0\) and \(x=L\). Do steady-state conditions exist?

Data From Example 1.1:-

The wall of an industrial furnace is constructed from 0.15-m-thick fireclay brick having a thermal conductivity of 1.7 W/m ⋅ K. Measurements made during steady-state operation reveal temperatures of 1400 and 1150 K at the inner and outer surfaces, respectively. What is the rate of heat loss through a wall that is 0.5 m × 1.2 m on a side?