Consider Problem 10.33. In an effort to increase the condensation rate, an engineer proposes to apply an \(L=100-\mu \mathrm{m}\)-thick Teflon coating to the exterior surface of the brass tube to promote dropwise condensation. Estimate the new condensation convection coefficient and the steam condensation rate per unit length of the tube after application of the coating. Comment on the proposed scheme's effect on the condensation rate (the condensation rate per unit length in Problem 10.33 is approximately \(1.8 \times 10^{-3} \mathrm{~kg} / \mathrm{s}\) ).

Data From Problem 10.33:-

Saturated steam at 0.2 bar condenses with a convection coefficient of \(6000 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\) on the outside of a brass tube having inner and outer diameters of 16 and \(19 \mathrm{~mm}\), respectively. The convection coefficient for water flowing inside the tube is \(5000 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). Estimate the steam condensation rate per unit length of the tube when the mean water temperature is \(30^{\circ} \mathrm{C}\).