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Question: tube of length l internal diameter d and internal roughness...

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Tube of length L, internal diameter D, and internal roughness dimension E Height H (free surface of bucket 1 to free surface in bucket 2) The figure above shows the in-class demo of liquid water at room temperature draining from one bucket into another. A baseline experiment is conducted with H 2 m, L 3 m, D 0.006 m, and E0 (smooth) at time -0 s. Assume reentrant entrance and exit for the tube, and steady, fully developed, incompressible flow (and ignore the instantaneous velocity of the free surface as the buckets fill/drain) a) Estimate the instantaneous volume flow rate at time 0 seconds using the following methods for estimating the Darcy Friction Factor, f: i. Moody chart lookup ii. Colebrook formula formula b) Using whichever method you prefer from part (a) for finding the Darcy Friction Factor, f, solve for the instantaneous volume flow rate at time 0 seconds for the following cases i. If the length of tubing L is doubled to 6 m and all other factors are identical to the baseline case If the height difference between the two free surfaces, H, is doubled to 4 m and all other factors are identical to the baseline case ii. ii. If the tubing internal diameter, D, is doubled to 12 mm and all other factors are identical to the baseline case If the tubing internal diameter, D, is doubled to 12 mm and 5 elbow fittings are added to the tubing length, each with a loss coefficient, K 1.8, and all other factors are identical to the baseline case If the tubing internal diameter, D, is reduced to 1.5 mm and all other factors are identical to the baseline case If the tubing internal roughness dimension, E, is estimated to be 90 micron instead of 0.0 m (smooth) and all other factors are identical to the baseline case If the fluid in the bucket is ethanol instead of water and all other factors are identical to the baseline case iv. v. vi. vii. Suggest an appropriate method for measuring the flowrate in the baseline experiment described in this problem

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