How Far Can Water Spray from a Pipe Hole at a 45 Degree Angle?

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SUMMARY

The discussion focuses on calculating the distance water sprays from a hole in a pipe at a 45-degree angle, considering factors such as pipe pressure, hole size, exit liquid velocity, and flow rate. Participants highlight the limitations of basic projectile motion equations in accurately predicting horizontal displacement due to neglecting air resistance and the formation of droplets. Alternative methods for approximating liquid spray distances are sought, emphasizing the need for more sophisticated modeling techniques that account for fluid dynamics.

PREREQUISITES
  • Understanding of basic projectile motion equations
  • Knowledge of fluid dynamics principles
  • Familiarity with concepts of air resistance and liquid droplet formation
  • Experience with mathematical modeling techniques
NEXT STEPS
  • Research advanced fluid dynamics models for liquid spray analysis
  • Explore computational fluid dynamics (CFD) software for simulating liquid behavior
  • Study the effects of air resistance on projectile motion in fluids
  • Investigate empirical methods for measuring spray distance in practical applications
USEFUL FOR

Engineers, physicists, and students in fluid mechanics or related fields who are involved in designing systems that involve liquid spray or fluid discharge from pressurized pipes.

gerry7
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Homework Statement


How far will water shoot from a hole in a pipe knowing the pipe pressure, hole size, and exit liquid velocity and flow rate. It is assumed that the hole is located such that the water is sprayed at a 45 deg angle from the horizontal.

Homework Equations


Basic projectile motion equations (i.e. equations used to calculate how far a ball is thrown etc).

The Attempt at a Solution


I have calculated the horizontal displacement using projectile motion equations, however this provides a very high horizontal displacement and does not take into account air resistance, liquid forming droplets / spray / mist. Is there another method in which to approximate how far a liquid will spray? I am not confident in the projectile motion equations providing a ballpark approximation figure for liquid spray.
 
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gerry7 said:

Homework Statement


How far will water shoot from a hole in a pipe knowing the pipe pressure, hole size, and exit liquid velocity and flow rate. It is assumed that the hole is located such that the water is sprayed at a 45 deg angle from the horizontal.

Homework Equations


Basic projectile motion equations (i.e. equations used to calculate how far a ball is thrown etc).

The Attempt at a Solution


I have calculated the horizontal displacement using projectile motion equations, however this provides a very high horizontal displacement and does not take into account air resistance, liquid forming droplets / spray / mist. Is there another method in which to approximate how far a liquid will spray? I am not confident in the projectile motion equations providing a ballpark approximation figure for liquid spray.
Why not?
 

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