3. A 2-in NPS Sch 40 steel pipe is considered hydraulically smooth when purchased. The pipe is used to transfer a slight corrosive liquid solution with a density of r = 920 kg/m³ and a viscosity of u= 3.2 cP. The fluid is pumped, showing pressure drop of 4,000 Pa/m. Overthe years, the pipe corrodes to become what is considered a completely rough pipe with roughness of ɛ = 0.8 mm. Calculate the change in the velocity (m/s) at the center of the pipe before and after the corrosion. Assume the same pressure drop in both cases. (10 pts)

Fig: 1