Use the system analysis procedure described in this chapter and construct the discrete system for heat conduction through the composite wall shown in Figure 2.7. Also, from the following data, calculate the temperature distribution in the composite wall.

Areas: \(A_{1}=2.0 \mathrm{~m}^{2}, A_{2}=1.0 \mathrm{~m}^{2}\) and \(A_{3}=1.0 \mathrm{~m}^{2}\).

Thermal conductivity: \(k_{1}=2.00 \mathrm{~W} / \mathrm{mK}, k_{2}=2.5 \mathrm{~W} / \mathrm{mK}\) and \(k_{3}=1.5 \mathrm{~W} / \mathrm{mK}\).

Heat transfer coefficient: \(h=0.1 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\).

Atmospheric temperature: \(T_{a}=30^{\circ} \mathrm{C}\).

Temperature at the left face of wall: \(T_{1}=75.0^{\circ} \mathrm{C}\).

Transcribed Image Text:

A A M k A3 k k3 L L2 h, Ta