Effect Pressure In Main tube due to outlets

[SaX]

I had to detect a Leakage in my pipe ,and i am really confused whether the Darcy Weisbach or Hagen-poiseuille
equation will be satisfied by the current criteria ,as described below:

I have a main tube with ends A and B and various outlets,suppose n outlets are present between A and B ,
I have the pressure at both A and B and flow rates can be measured at both A and B, and may be at all the outlets( If only flow rate between A and B are themselves not sufficient) ,if flow rates are measured a instant t.
Then flow rate must satisfy the Eq. A= B+ N outlets.

Hence is there is leakage there will be additional pressure loss and may be flow rate decrease
Can these those two relation help me out? all I have is capability to measure pressure and flow rate at each outlet

Is there a need to measure flow rates at each outlet won't the difference between A and B flow rate just enough?

Thanks

 

[gtoguy97]

The Darcy-Weisbach equation is used to calculate pressure losses due to frictional losses in pipes, and is based on the properties of the fluid and the pipe diameter. The Hagen-Poiseuille equation is used to calculate the flow rate through a circular pipe and is based on the pressure difference across the pipe and the length of the pipe.If you have the pressure at both ends of the pipe and the flow rate between A and B, then you can use the Darcy-Weisbach equation to calculate the pressure losses due to friction in the pipe. If you also have the flow rates at each outlet, then you can use the Hagen-Poiseuille equation to calculate the flow rate through each outlet. This can help you identify any leakage, as there will be an additional pressure loss associated with the leak.