Find the Formula for Diameter of 3 Pipes

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SUMMARY

The discussion focuses on deriving a formula to calculate the diameter of the third pipe (d3) based on the cross-sectional changes of three pipes. The relevant equation provided is δ[adm]=2%(l1+l2+l3), which indicates that the maximum allowable deflection is 2% of the total length of the pipes. The user seeks a straightforward formula to implement in Excel for dynamic calculations. The context involves concepts of momentum and forces, specifically relating to the maximum refraction of the system.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with momentum and forces in mechanical systems
  • Basic knowledge of Excel formulas and functions
  • Concept of allowable deflection in engineering applications
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  • Research the derivation of formulas for pipe diameter calculations in fluid mechanics
  • Learn about the application of the δ= M/W equation in engineering contexts
  • Explore Excel functions for dynamic calculations and modeling
  • Investigate the impact of cross-sectional changes on fluid flow and pressure
USEFUL FOR

Engineers, students in mechanical or civil engineering, and anyone involved in fluid dynamics or pipe design will benefit from this discussion.

emutudeng
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Homework Statement



My vocabulary is pretty bad in specialized English, so I have to post a picture of problem

There are three pipes, the cross-section changes and all measures are illustrative, I need to find an easy formula to find the diameter of d3, so I can create formula in Excel and by changing numbers it calculates the answer.

δ[adm]=2%(l1+l2+l3)


Homework Equations



Formulas are from topic of momentum and forces,
Maybe this helps
δ= M/W ⩽ δ[adm]

The Attempt at a Solution



It should become something like ω/M max * some coefficients, but I haven't found anything form books.
 

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δ[adm]=2%(l1+l2+l3)
Perhaps if you were to explain in words what this formula is about, someone might recognize what you are trying to do.
 
It means that the max refraction is 2%. The point is to find diameter of the upper pipe. It depends of the two others.
 

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