Water, initially at \(37^{\circ} \mathrm{C}\), is flowing through a cast iron pipe \(43 \mathrm{~mm}\) in diameter at a mass flow rate of \(10.1 \mathrm{~kg} / \mathrm{s}\). The tube is heated by condensing steam (saturated at \(1 \mathrm{~atm}\) ) on its surface.

a. Is the flow laminar or turbulent?

b. Assuming the tube is \(15 \mathrm{~m}\) long, what is the pressure drop?

c. What is your best estimate of the heat transfer coefficient?