Determine the convection heat transfer coefficient, thermal resistance for convection, and the convection heat transfer rate that are associated with air at atmospheric pressure in cross flow over a cylinder of diameter \(D=\) \(100 \mathrm{~mm}\) and length \(L=2 \mathrm{~m}\). The cylinder temperature is \(T_{s}=70^{\circ} \mathrm{C}\) while the air velocity and temperature are \(V=3 \mathrm{~m} / \mathrm{s}\) and \(T_{\infty}=20^{\circ} \mathrm{C}\), respectively. Plot the convection heat transfer coefficient and the heat transfer rate from the cylinder over the range \(0.05 \mathrm{~m} \leq D \leq 0.5\mathrm{~m}\).