Consider a wall built up of concrete and thermal insulation. The outdoor temperature is \(T_{o}\) \(=-20^{\circ} \mathrm{C}\), and the temperature inside is \(T_{i}=20^{\circ} \mathrm{C}\). The wall is subdivided into three elements. The thermal conductivity for concrete is \(k_{c}=2 \mathrm{~W} / \mathrm{m} /{ }^{\circ} \mathrm{C}\), and that of the insulator is \(k_{i}=0.05 \mathrm{~W} / \mathrm{m} /{ }^{\circ} \mathrm{C}\). Convection heat transfer is occurring at both surfaces with convection coefficients of \(h_{0}=14 \mathrm{~W} / \mathrm{m}^{2} /{ }^{\circ} \mathrm{C}\) and \(h_{i}=5.5 \mathrm{~W} / \mathrm{m}^{2} /{ }^{\circ} \mathrm{C}\). Calculate the temperature distribution of the wall. Also, calculate the amount of heat flow through the outdoor surface.

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To Concrete Insulation Ti Concrete hi ho 0.1 m 0.1 m 0.07 m