Question 5. [20 Points Consider a pipe flow problem of water at 20C passing through a long, straight pipe of constant inner diameter D = 2.5 mm with the average velocity of Uavg = 0.40 m's. Answer the following questions: 5.1 [4 points] For the given pipe flow problem, what is the pressure drop in Pa) over a pipe length of L = 2 m? 5.2 [4 points) Find the maximum velocity, Umax, and the radial position r at which we have the maximum fluid velocity. 5.3 (4 points] Find the radial position r at which the average flow velocity equals the local flow velocity, u(r). 5.4 [4 points] If, instead of water, we have crude oil at 20 C flows through this pipe with the same average velocity of Uavg = 0.40 m/s instead of water, how do the answers to the Questions 5.1, 5.2, and 5.3 change? 5.5 (4 points] Sketch the velocity profile for the case of water and for the case of crude oil on the same graph. Describe your findings briefly (no more than 50 words). Assume no-slip boundary conditions for both cases. Use the following data for the needed physical properties of crude oil. 10 Table 1Density and viscosity data of the crude oil and Decalin Crude oil Decalin Temperature Density Viscosity Density Viscosity [PC] g/cm) [mPa.s [g/cm" [mPa.s 0.9311 179.2 20 0.8806 2.40 30 0.9243 99.6 0.873 1.95 70 0.897 17.9 0.8428 0.99 100 0.8771 8.2 0.8202 0.66