Graph the heat loss per unit length from the solar collector of Problem 9.76 over the range \(0.1 \leq D_{o} \leq 0.25\mathrm{~m}\) assuming (i) conduction heat transfer across the annular space and (ii) convection heat transfer across the annular space. Determine the outer diameter that yields the minimum heat loss across the air space per unit collector length, and the value of this loss.

Data From Problem 9.76:-

A solar collector design consists of an inner tube enclosed concentrically in an outer tube that is transparent to solar radiation. The tubes are thin walled with inner and outer diameters of 0.08 and \(0.10 \mathrm{~m}\), respectively. The annular space between the tubes is completely enclosed and filled with air at atmospheric pressure. Under operating conditions for which the inner and outer tube surface temperatures are 80 and \(30^{\circ} \mathrm{C}\), respectively, what is the rate of convective heat loss per meter of tube length across the air space?