Solve Daniel's Fluid Problem: Optimal Tube & Orifice Diameters

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SUMMARY

The discussion focuses on optimizing the diameters of tubes and orifices for two chemicals—one viscous and one non-viscous—based on their volumes, densities, and viscosities. Key parameters include the length of the tubes, the time required to move the chemicals, and the unknowns such as pressure, velocity, friction factor, Reynolds number, and head loss. Danielle seeks assistance with equations from a textbook, indicating discrepancies in her results. The community is encouraged to provide equation checks and suggestions for accurate calculations.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Reynolds number and its significance
  • Knowledge of pressure loss calculations in fluid systems
  • Experience with viscosity and its effects on flow rates
NEXT STEPS
  • Review the Darcy-Weisbach equation for head loss calculations
  • Learn about the relationship between viscosity and flow rate in pipes
  • Study the principles of laminar vs. turbulent flow
  • Explore computational fluid dynamics (CFD) software for simulation
USEFUL FOR

Engineers, fluid dynamics researchers, and anyone involved in chemical processing or fluid transport optimization will benefit from this discussion.

luminara19131
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Problem Statement-

Given the volumes of two different chemicals; One viscous and one non-viscous. Find the optimal diameter of the tube as well as the orfice that the two chemicals exit from to fill up a drum.

Known-

volume of the two chemicals
density of the two chemicals
viscosity of the two chemicals
Length of the individual tubes
time that it takes to move both chemicals

Unknown-

Pressure required to move both chemicals at that given time
Velocity it takes to move the chemicals
Friction Factor
Reynolds number
Head Loss

I used some equations straight from the textbook, but I am getting really odd numbers. Any suggestions are helpful. Even if it's just an equation check.

Thanks
Danielle
 
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Right,

So was the question too vague or did I post in the wrong area.

Danielle
 

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