Fluid force at the end of a pipe

AI Thread Summary
The discussion focuses on the fluid dynamics involved at the end of a pipe with a bend. It highlights the application of Newton's second law to determine the external force required to maintain the pipe's position while fluid flows through it. The pressure at the outlet of the pipe is emphasized, noting that it acts both outward on the fluid exiting and inward on the fluid behind it. The conversation points out that pressure in a fluid acts in all directions, and this must be considered when analyzing forces. Ultimately, the force balance equations for the pipe account for the pressure exerted on the control volume rather than the forces exerted by the fluid on external objects.
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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