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

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The discussion focuses on determining the optimal tube and orifice diameters for two chemicals, one viscous and one non-viscous, to efficiently fill a drum. Key known variables include the volume, density, and viscosity of both chemicals, along with the length of the tubes and the time required for movement. However, Danielle is struggling with calculating the necessary pressure, velocity, friction factor, Reynolds number, and head loss, leading to unexpected results from her textbook equations. She seeks suggestions for equation verification or alternative approaches to solve her fluid dynamics problem. Clarification on the question's clarity and appropriateness for the forum is also requested.
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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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