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Final Exam Course: 58:160, Fall 2006 Name:------------------------- Time: 120 min Fluid I.D. :------------ (Each problem has 20 points) 1) Water at 200C flows in a 9 cm diameter pipe under fully developed turbulent flow conditions. The wall shear stress is 122Pa. (a) By using Log Law, find the centerline velocity Vc, (b) flow rate Q, (c) ∆p for a 100 m pipe length. 2) In the figure below, the pipe entrance is sharp-edged. If the flow rate is 0.004m3/s, what power, in W, is extracted by turbine to exhaust flow to the air? 3) A thin plastic panel (3 mm thick) is lowered from a ship to a construction site on the ocean floor. The plastic panel weighs 500 N in air and is lowered at a constant rate of 6m/s. Assuming that the panel remains vertically oriented, calculate the tension in the cable. ( Note: Buoyancy is not negligible) 4) Two steel balls (SG=7.86) are connected by a thin hinged rod of negligible weight and drag in vertical plane. A stop prevents counter clockwise rotation. Estimate the air velocity U for which the rod will first begin to rotate clockwise. 5) It is desired to simulate flow past a bump by using streamline above the flow over a cylinder. The bump is to be a/3 high, as shown in the figure. What is the proper elevation h of this streamline? What is Umax on the bump compared to U ∞ ? a /3