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Question 1 (28 MARKS] Consider a pipe system in Figure 1. Water is carried by a 455 m long concrete pipe from Tank 1 to an elevated Tank 2 at the rate of 0.15 m®/s. The diameter of the pipe is 250 mm. The pipe's ends are square cornered (sharp-edged) and there are two bends. Determine the pressure P1 at Tank 1 and the exit velocity (just before it enters Tank 2). . Assume kinematic viscosity of v = 0.113 x 10-5 m²/s. Consider all the losses in the system. . Note: Only the frictional factor read from the provided Moody diagram will be acceptable. P2 = 40kPa gauge Tank 2 K=0.5 Flow 37 m Tank 1 D = 250mm Exit P1 3 m K=0.5 Figure 1: Piping System
Moody Diagram 0.10 0.09 0.08 aminar Critical TIN Flow Zone Transition! Zone Complete turbulence, rough pipes 0.07 10.05 0.04 0.06 0.03 0.05 0.02 0.015 0.04 0.01 0.008 0.006 0.03 0.004 Friction factor f Relative roughness ñ 0.025 0.002 0.02: 0.001 0.0008 0.0006 0.0004 0.015 0.0002 0.0001 Smooth pipes 0.000,05 0.01 0.009 0.008! 103 2 3 4 56 8 104 2 34 56 8105 2 3 4 5 6 8 106 0.000,01 *3-4 56 8108 2 3 4 56 8107 x 103 + x 104 + x 10 to x 105 4 Reynolds number Re= p 6=0.000,005 f = 0.000,001 6