Hydraulics - Pipe series Question *** Question requires a trial and error proces

Question

Hydraulics - Pipe series Question

*** Question requires a trial and error process for the two unknowns to be tested on a moody diagram until the trialed 'f' matches the recorded moody 'f'.

A series of three concrete pipes (k-0.6mm) delivers water between two large open coefficients for the flush reservoir fittings are not included in the 2K in Table 1. The minor losses associated with the sudden diameter changes can be ignored. Determine the discharge when the elevation difference between the water levels in the reservoirs is 155 metres. Include a clearly marked Moody diagram for each pipe in your solution showing Re and k/D for each f as used in your calculations of friction headloss with the Dracy-Weisbach friction equation. Table 1: Details of the three pipelines in series for Question Three. Length (m) 600 1280 550 Diameter (mm) 446 300 367 EK 15 18 008 Pipe No.

Explanation / Answer

For pipe 1 Discharge when elevation difference is 155 m = 0.6 * 10-3 * (3.14 * 0.223 * 0.223) * 155

                                                                         = 0.01452 m3

For pipe 2 Discharge when elevation difference is 155 m = 0.6 * 10-3 * (3.14 * 0.150 * 0.150) * 155

                                                                         = 0.00657 m3

For pipe 3 Discharge when elevation difference is 155 m = 0.6 * 10-3 * (3.14 * 0.1835 * 0.1835) * 155

                                                                         = 0.009832 m3

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