Water at 5 C is flowing through a horizontal pipe (internal diameter = 9.8 cm) at a volumetric flow rate of 8.8 L/S. 2n2 a. Calculate the Reynolds number and comment on whether the flow is laminar or turbulent. b. The turbulent velocity profile in a smooth pipe can be approximated by the empirical power-law in equation: 0= Vmax [1 - ". Where Vmax Vavg((n+1)(2n+1)) (see section 8.5 in textbook). Using Excel, plot the average axial velocity (7.) for n = 6 and n = 10. In order to match the physical nature of the system, plot the average axial velocity (7.) on the x-axis and the radial position (r) on the y-axis; the range of r values should be from 0 to +R where R is the radius of the pipe. C. Two Pitot tubes (designated A & B) are located at different radial positions in the tube and are used to measure the local velocity fluctuations that occur due to the turbulent nature of the flow. In an experiment, the following eight velocity measurements were collected: Pitot Pitot ID Location Velocity measurements (m/s) A r = +0.01 m 1.42 1.39 1.43 1.40 1.38 1.39 1.42 1.45 B r = +0.04 m 1.11 1.12 1.14 1.13 1.17 1.15 1.05 1.01 For each pitot tube calculate the average and standard deviation of the velocity measurements. Then re-do the plot from b) but now include on your graph the average velocity values (with x-axis error bars that correspond to the standard deviation) at their respective positions. Note: To get the x-axis error bars, click on the point you wish to add error bars to, then go to 'layout, 'add chart element', 'error bars', and go down to more error bar options'. Under 'error amount, click on 'custom', 'specify value', and click on the cell that has your standard deviation error for both 'positive error value' and 'negative error value