Question

5.A pipeline that is 60 m long and has a diameter of 50 mm has a coefficient of friction of 0.006 (Darcy). Water is supplied via this pipe under a head of 16.5 m and is discharged through a nozzle which has a coefficient of velocity of 0.98. Determine the diameter of the nozzle which would give a volumetric flow rate of 3,67 x 10 -3 m3 /s.

Answer 1

To determine the diameter of the nozzle which would give a volumetric flow rate of 3.67 x 10^-3 m³/s, you can use the equation Q = Av, where Q is the volumetric flow rate, A is the cross-sectional area of the pipe/nozzle, and v is the velocity of the fluid. Using the given information, you can calculate the required nozzle diameter.

Step-by-step explanation:

Physics: Pipeline and Nozzle Flow Rate Calculation

To determine the diameter of the nozzle which would give a volumetric flow rate of 3.67 x 10^-3 m³/s, we need to use the equation:

Q = Av

where Q is the volumetric flow rate, A is the cross-sectional area of the pipe/nozzle, and v is the velocity of the fluid.

Given that the pipeline has a diameter of 50 mm and the water is supplied under a head of 16.5 m, we can calculate the flow velocity using the equation:

v = √(2gh)

where g is the acceleration due to gravity and h is the head. We can then plug this value into the equation for volumetric flow rate to find the required nozzle diameter.