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Consider a large open-air pool as shown in the figure, from which a discharge pipe exits near the bottom. At the beginning of the
Consider a large open-air pool as shown in the figure, from which a discharge pipe exits near the bottom. At the beginning of the discharge pipe, there is a venturi tube used to measure the flow rate and volume flow rate in the discharge pipe by measuring the pressures po and p1. The diameter of the venturi tube at point 0 is 489 mm and at point 1 is 254 mm. The temperature of the water in the pool is 25.0 C. Assume that the flow is frictionless and incompressible. The acceleration due to gravity is 9.81 m/s^2. Use the centerline of the discharge pipe as the reference plane where points 0 and 1 are located. All pressures in this problem are relative pressures, i.e., pressures that are reduced by atmospheric pressure. a. Determine the pressure head, velocity head, and hydraulic and energy grade line heights relative to the reference plane at points 0 and 1, if p0 = 34.00 kPa, VO = 1.20 m/s, p1 = 24.84 kPa, and V1 = 4.45 m/s. b. Determine the pool water surface elevation for the conditions given in part a. c. Determine the pool water surface elevation H relative to the reference plane, as well as the flow velocity at point 0 and the volume flow rate in the discharge pipe, if p0=49.0 kPa and p1 = 32.0 kPa. H Po P1
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