Fluid flow problem with the momentum balance equation

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Discussion Overview

The discussion revolves around a fluid flow problem involving the momentum balance equation. Participants explore the application of this equation in a specific scenario, examining the calculations and underlying principles involved.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant expresses uncertainty about the correctness of their work related to the momentum balance equation.
  • Another participant inquires about the formula for the area of a circle in terms of diameter, suggesting a potential connection to the problem.
  • A later post presents a formula for force in terms of density and diameter, indicating a specific calculation related to the problem.
  • Another participant agrees with the presented formula, suggesting it aligns with their understanding.
  • One participant comments on the problem's interesting nature, noting a unique aspect of momentum change in this context.

Areas of Agreement / Disagreement

Participants express varying levels of confidence in the calculations, with some agreeing on specific formulas while others raise questions about the approach. The discussion remains unresolved regarding the overall correctness of the initial work.

Contextual Notes

There are indications of missing assumptions and potential dependencies on definitions, particularly regarding the application of the momentum balance equation in this scenario.

Who May Find This Useful

Students and practitioners interested in fluid dynamics, momentum equations, and related calculations may find this discussion relevant.

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All problem info, and my work is done in the attached pdf.

Basically, I'm not sure that I have done it correctly.
 

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What is the formula for the area of a circle in terms of diameter?
 
Ooops

So the answer is then:


Fp = -[itex]\rho[/itex]vj2[itex]\frac{\pi}{4}[/itex](D12 - D22)
 
Looks good to me.
 
Comment: interesting problem; case where change in momentum is vΔm instead of the usual mΔv.
 

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