1-32 - BIE 5110/6110 Sprinkle & Trickle Irrigation Fall...

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BIE 5110/6110 Sprinkle & Trickle Irrigation Fall Semester, 2004 Assignment #10 (100 pts) Trickle Manifold Pipe Sizing Due: 13 Dec 04 Given: A trickle irrigation system with a manifold inflow rate of 5.00 lps. An allowable subunit pressure head variation of H s = 4.2 m. A lateral pressure variation of H l = 2.3 m. A uniform ground slope of 1.04% in the manifold direction. A total manifold length of 200 m. A lateral spacing of 2.0 m. The following PVC pipe sizes are available: Size (inches) (inches) (mm) 0.5 0.622 15.8 0.75 0.824 20.9 1 1.049 26.6 1.25 1.380 35.1 1.5 1.610 40.9 2 2.067 52.5 2.5 2.469 62.7 3 3.068 77.9 4 4.000 101.6 6 6.000 152.4 8 8.000 203.2 10 10.000 254.0 I.D. Required: 1. Design the manifold, using up to four different pipe diameters. 2. Use the Darcy-Weisbach and Blasius equations for friction loss. 3. Do not use any pipe diameter which is less than ½ the largest diameter. 4. Determine appropriate manifold pipe sizes and lengths. 5. Use either the semi-graphical method, or develop a computer program.
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Solution: Assume a water temperature of 10°C, giving a kinematic viscosity of: ν = 1.306(10) -6 m 2 /s. Then, the Reynolds number is: 5 R 4Q Q N9 . 7 5 ( 1 0 ) DD ⎛⎞ == ⎜⎟ νπ ⎝⎠ Plugging the above into the Blasius equation: 0.25 Q f 0.0102 D = Darcy-Weisbach: 1.75 f 4.75 Q h0 . 1 6 9 D =
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1-32 - BIE 5110/6110 Sprinkle & Trickle Irrigation Fall...

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