Water flows steadily through a reducing pipe section. The flow upstream with a radius of R...

Water flows steadily through a reducing pipe section. The flow upstream with a radius of R₁, is laminar with a velocity profile of  while the flow downstream is turbulent with a velocity profile of u₂(r) = u₀₂(1 − r/R₂)^1/7. For incompressible flow with R₂/R₁ = 4/7, determine the ratio of centerline velocities u₀₁/u₀₂.