Water at 15°C is drained from a large reservoir using two horizontal plastic pip

Question

Water at 15°C is drained from a large reservoir using two horizontal plastic pipes connected in series. The first pipe is 20 m long and has a 10-cm diameter, while the second pipe is 35 m long and has a 4-cm diameter. The water level in the reservoir is 18 m above the centerline of the pipe. The pipe entrance is sharp-edged, and the contraction between the two pipes is sudden. Neglecting the effect of the kinetic energy correction factor, determine the discharge rate of water from the reservoir in m3/s.

Explanation / Answer

Here, By applying Bernoullis Theorem

=> Velocity of water from first pipe = sqrt(2 * g * h)

                                                         = sqrt( 2 * 9.8 * 18)

                                                          =    18.78   m/sec

=>    discharge rate of water from the reservoir   = 18.78 * 3.14 * 0.05 * 0.05

                                                                            =   0.1474   m3/sec

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