Split Pipe Pressure: Is P1=P2=P3?

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SUMMARY

The discussion centers on the pressure relationship in a pipe that splits into two equal-diameter pipes. According to Bernoulli's equation, if the velocity (v) and height (h) remain constant along the streamline, then the pressure at the split (P1) is equal to the pressures in the two downstream pipes (P2 and P3). Therefore, it is established that P1 = P2 = P3 in this scenario, assuming uniform flow conditions.

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  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with concepts of pressure and flow in pipes
  • Basic grasp of streamline flow characteristics
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bellshom
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Trying to determine what happens when a pipe of splits off into two pipes which all have the same diameter. If the flow in the two pipes are the same and everyting else is the same.

Then is the pressure in pipe 1 equal to P2 + P3 or is it P1=P2=P3.

Searched around and haven't been able to determine a appropriate answer.
 
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hi bellshom! :smile:

Bernoulli's equation applies along a streamline,

so if v (speed) and h (height) are the same, then pressure should also be the same :wink:
 
This thread will better answer your question:

http://lofi.forum.physorg.com/bernoulli-equation-for-split-flow_14070.html
 
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