Question

A 400 mm diameter pipe, conveying water, branches into two pipes of diameters 300 mm and 200mm respectively. If the discharge in the 400 mm diameter pipe is 380L/s, compute the average velocity in this pipe. If the average velocity in 300mm diameter pipe is 200L/s, find the discharge and velocity head in 200mm diameter pipe.                                               

Answer 1

Discharge in 400 mm diameter = Q = 380 L/s = 0.38 m^3/s

Average Velocity in 400 mm diameter pipe is given as

= 3.024 m/s

Velocity in 300 mm diameter pipe = V₁ = 200 L/s = 0.2 m/s

Discharge in 300 mm diameter pipe is

Let Discharge in 200 mm pipe be Q₂

We have

Velocity in 200 mm diameter pipe is

= 11.65 m/s

Velocity head in 200 mm diameter pipe is given as

= 6.92 m