Fluid force at the end of a pipe

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SUMMARY

The discussion focuses on the fluid force at the end of a pipe with a bend, utilizing Newton's second law of motion to determine the external force required. It clarifies that pressure acts in all directions within the fluid, including inward against the fluid behind it and outward toward the next section of the pipe. The conversation emphasizes that when performing force balance calculations, only the forces exerted on the control volume are considered, not the forces exerted by the control volume on external objects. This principle aligns with Newton's law of action-reaction, highlighting the importance of understanding pressure dynamics in fluid mechanics.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic principles of fluid mechanics
  • Knowledge of pressure dynamics in fluids
  • Familiarity with control volume analysis
NEXT STEPS
  • Study the application of Newton's laws in fluid dynamics
  • Explore pressure gradient effects in fluid flow
  • Learn about control volume analysis techniques
  • Investigate the implications of pressure in pipe flow systems
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Engineers, physicists, and students studying fluid mechanics, particularly those interested in the dynamics of fluid flow in piping systems and the application of Newton's laws in practical scenarios.

Sat D
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Consider the very standard pipe problem used to calculate the force required to hold a pipe with a bend that has some fluid flowing through it, as shown in the image. We use Newton's second law of motion to calculate the external force required. However, why is there pressure acting into the control volume at the right end of the pipe? How do you explain this?
Shouldn't the fluid flowing out generate a pressure (force) acting outward?
 

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Remember pressure in a fluid acts in all directions.
Unless the pressure at the outlet is zero, then the pressure there acts outward on the fluid moving into the next section of pipe, tank, or whatever, AND it acts inwards against the fluid behind it. And it also acts sideways on the walls of the pipe in all directions, though it may not be the same on all sides of the pipe if there is a pressure gradient perpendicular to the flow here.
 
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Merlin3189 said:
Remember pressure in a fluid acts in all directions.
Unless the pressure at the outlet is zero, then the pressure there acts outward on the fluid moving into the next section of pipe, tank, or whatever, AND it acts inwards against the fluid behind it. And it also acts sideways on the walls of the pipe in all directions, though it may not be the same on all sides of the pipe if there is a pressure gradient perpendicular to the flow here.
So why don't we consider the pressure that is pointing outwards while writing out the force balance equations for the pipe?
 
Sat D said:
So why don't we consider the pressure that is pointing outwards while writing out the force balance equations for the pipe?
From freshman physics, when you do a force balance on object A, you don't include the force object A exerts on object B. You only include the force object B exerts on object A. Didn't they teach you that when they covered Newton's law of action-reaction?
 
In this you considered a control volume and you are trying to calculate what are the forces that are acting on the fluid in the control volume. On the right side the pressure is exerted on the control volume by atmosphere (or the surrounding fluid)
 

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