How Can I Determine the Exit Velocity of Water from a Pipe?

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SUMMARY

The discussion focuses on determining the exit velocity of water from a pipe using known parameters such as pressure, nozzle diameter, and atmospheric pressure. The user has a static pressure of 60 psi in the pipe and is considering Bernoulli's equation and the equation q=1/2P_{s}M^{2}γ for calculations. However, confusion arises regarding the application of dynamic pressure and stagnation pressure in the context of their experiment. The user seeks alternative methods to calculate velocity beyond the equations attempted.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically Bernoulli's equation.
  • Knowledge of pressure measurement units, particularly psi and atmospheric pressure.
  • Familiarity with the concepts of static and dynamic pressure.
  • Basic skills in experimental design and data collection methods.
NEXT STEPS
  • Research the application of Bernoulli's equation in real-world scenarios.
  • Learn about the relationship between pressure and velocity in fluid dynamics.
  • Explore experimental methods for measuring fluid velocity, such as using flow meters.
  • Investigate the concept of stagnation pressure and its relevance in fluid flow calculations.
USEFUL FOR

Students in engineering or physics, fluid dynamics enthusiasts, and anyone involved in experimental fluid mechanics seeking to understand water velocity calculations in pipes.

alibond07
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Homework Statement


Hi

I have constructed a pipe with a pressure gauge and a valve. I know the pressure of the air and water in the pipe. I know atmospheric pressure and I know the nozzle size. I want to be able to find the velocity of the water leaving the pipe.

Here are some variable I have:

1.)Pressure in pipe: (Static Pressure? I'm not sure about how to differentiate to stagnation pressure) (60psi)

2.) Nozzle diameter (3mm) , Pipe Diameter (15mm)

3.) Atmospheric Pressure (sea level)




Homework Equations



There is no set way to do this as it's a project of my own choice but after research I know that perhaps Bernoulli's equation may be relevant.

Another q=1/2P_{s}M^{2} γ Which I think may be useful.

The Attempt at a Solution



After trying to use Bernoulli's equation and failing for many hours I gave up. I didn't understand the constant.

When trying to apply the second equation to my experiment I found that the dynamic pressure part was confusing me. I didn't know how this related to my experiment and by defining it online I didn't see how it could be obtained experimentally. Seeing as it's defined by it's velocity and that's what I'm trying to find out?

I was thinking about simply creating some distances and time results for the water and using those.
 
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Does anyone know a different approach to this? I've been at it for a long time and can't think of a way to do it apart from those two equations.
 

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