Question 1

The water is flowing through a pipe line of 100 mm diameter with a velocity of 1.5 m/s. Determine the discharge through the pice in litres/s.

Solution: Given Data, Dia d=100mm=0.1m; Velocity, v=1.5m/s; Discharge, Q=? litres/s.

From the equation of Continuity of a Liquid Flow, Q=AV; Where Q=Discharge; A=Area; V=Velocity.

Q=(π/4)d² x V

Q= (π/4) 0.1² x 1.5

Q= 0.01178 m³/s x 1000

Q= 11.78 litres/s [Ans]

Question 2

Find the size of a pipe, which has to discharge an oil, at the rate of 2 m³/s and of specific gravity 0.8 with a velocity of 3 m/s.

Question 3

A pipe of 100 mm diameter branches into two pipes of diameters 100 mm and 50 mm respectively. The flow in the large branch pipe is 2/3 of the main pipe and the remaining discharge is through the smaller branch pipe. Determine the rate of flow in the main pipe, if average velocity of flow in any of the pipes is not to exceed 3 m/s.