Solving the Force Due to Pipe Bend Problem: Conservation of Momentum Approach

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Discussion Overview

The discussion revolves around a problem involving the calculation of the horizontal component of force in a flanged joint due to water flow through a pipe bend, utilizing the conservation of momentum approach. The focus is on understanding the application of momentum flux equations in the context of fluid dynamics.

Discussion Character

  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant describes a scenario involving steady water flow discharging to the atmosphere and seeks to determine the horizontal component of force in a flanged joint.
  • The participant mentions using the conservation of momentum and the momentum flux equation, expressing uncertainty about the correct application of pressure terms.
  • There is a clarification regarding the use of velocity components, specifically the confusion between resultant vectors and individual components in the calculations.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as one participant resolves their confusion independently without further input from others.

Contextual Notes

The initial post lacks the complete problem statement, which may limit the clarity of the discussion. There are also unresolved aspects regarding the application of pressure terms in the momentum flux equation.

rjenkins
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I have question that I'm sure has been asked before. Maybe if you could point me to a thread that'd be great.

The water flows steady discharging to atmosphere. I need to find the horizontal componant of force in the flanged joint & find if it's in tension or compression.

I think I have a Conservation of Momentum problem that I can't figure what I'm doing wrong. I have attached the problem. I figured that due to uniform, steady flow Q=constant so that V1A1=V2A2. So with that I plugged into the momentum flux equation.

=density of water((v2^2)(A2)(cos30)-(V1^2)(A1))+(Pressure)(A2)

If it discharges to atmosphere then I thought maybe it's Pressure(gage)(A1) instead of A2? I think I'm all over the place with this one.



Thanks for any assistance clearing the fog
 

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Please post the exact, complete text of the question, as given to you.
 
Sorry, reattached.
 

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Never mind I figured it out. Thanks anyway. I was using for my V2 the resultant vector for both V's. One is the magnitude in the dot product the other V is the vector found by the Vcos(30).
 

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