Fluid force at the end of a pipe

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Discussion Overview

The discussion revolves around the forces acting on a fluid in a pipe with a bend, particularly focusing on the pressure dynamics at the outlet of the pipe. Participants explore the implications of Newton's second law of motion in this context and the nature of pressure acting within the control volume.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why pressure acts into the control volume at the right end of the pipe, suggesting that fluid flowing out should generate an outward pressure.
  • Another participant explains that pressure in a fluid acts in all directions and that unless the outlet pressure is zero, it exerts forces both outward and inward on the fluid.
  • A repeated point emphasizes that pressure acts sideways on the walls of the pipe in all directions, potentially differing due to pressure gradients.
  • There is a challenge regarding the omission of outward pressure in force balance equations, referencing Newton's law of action-reaction and the focus on forces exerted on the control volume.
  • Another participant clarifies that the pressure on the right side of the control volume is exerted by the atmosphere or surrounding fluid, contributing to the overall force analysis.

Areas of Agreement / Disagreement

Participants express differing views on the treatment of pressure forces in the context of force balance equations, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

There are limitations regarding the assumptions made about pressure at the outlet and the treatment of forces in the control volume, which are not fully explored in the discussion.

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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