What would be the flow rate, through a pipe of 14 mm diameter, if the water pressure is 2Kg/cm2?

 What would be the flow rate, through a pipe of 14 mm diameter, if the water pressure is 2Kg/cm2?

solution

You should define the location of the pressure mentioned accurately. A 14mm pipe is generally a service pipe and if the pressure of 2.00 Kg per cm^2 is at the outfall point, no further data is necessary.

If the pressure mentioned is at the distributor mains, then the length of the 14mm pipe is necessary as some head is lost due to friction in the 14mm pipe. The longer the pipe, greater will be the head loss. Further head loss also depends upon the material of the pipe, age of pipe, slope of the pipe and velocity of flow in the pipe.

However considering 2 Kg per cm^2 is at the outfall point, after all the frictional losses then the velocity v shall be as per the formula

v^2=2gh

v=velocity in m per second

g=acceleration due to gravity or 9.81m/second.

h=head in m

In this case h=2Kg per cm^2 or 20m.

Then v=Square root (2*9.81*20)=19.81 m per second

Discharge=Area*Velocity

=(3.142*0.014^2/4)*19.81= 0.003m^3 per second or 10.98 m^3 per hour or 10,980 litres per hour.A