(Solved): 1. A wall is being convectively cooled to maintain the inner surface at \( T_{1}=100^{\circ} \mathrm ...

1. A wall is being convectively cooled to maintain the inner surface at \( T_{1}=100^{\circ} \mathrm{C} \). An array of 13 rectangular fins is installed to the outer surface to enhance the heat transfer. Values for convective conditions \( \left(h, T_{\infty}\right) \), thermal conductivities for the materials, and geometry of the fins and wall are provided in the figure. a) Draw a thermal resistance network for heat transfer from the left surface of the wall to the ambient, and write down the expression of each thermal resistance component (You do not need to calculate anything in this part). b) What is the efficiency of a single fin in the array? c) What is the total thermal resistance? d) What is the total heat transfer rate from the finned surface? e) What is the temperature \( T_{2} \) ? f) What is the effectiveness of the fin array?