(Solved): Figure 1 shows the cross-section view of a square chimney. Under steady-state condition, the inner ...

Figure 1 shows the cross-section view of a square chimney. Under steady-state condition, the inner surface of the chimney is maintained at \( 300^{\circ} \mathrm{C} \), while the outer surface of the chimney is maintained at \( 100^{\circ} \mathrm{C} \). To find the temperature within the chimney, the nodal network has been formed as shown in the figure. (a) Considering thermal symmetry, how many nodal points temperatures need to be found? (b) Write the set of nodal equations for the nodes that you identified in part (a). (c) Solve the nodal equations from part (b) and find the temperatures of nodes.