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

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In summary, the conversation discusses the problem of finding the optimal diameter of a tube and orifice for two chemicals with different viscosities to fill a drum. The known information includes the volumes, densities, viscosities, tube length, and time required to move the chemicals. The unknown factors include the pressure, velocity, friction factor, Reynolds number, and head loss. The individual has used equations from a textbook but is getting strange results and asks for suggestions. The question was asked in a forum for physics discussions.
  • #1
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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  • #3
Right,

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

Danielle
 

1. What is Daniel's Fluid Problem?

Daniel's Fluid Problem is a theoretical problem in fluid mechanics that involves finding the optimal combination of tube and orifice diameters to achieve a desired flow rate.

2. Why is this problem important?

This problem is important because it has practical applications in various industries, such as chemical engineering, where controlling fluid flow is crucial for efficient and safe operations.

3. What factors are involved in solving this problem?

The factors that need to be considered when solving Daniel's Fluid Problem include fluid properties (such as viscosity and density), tube and orifice dimensions, and the desired flow rate.

4. How is this problem typically solved?

This problem is typically solved using mathematical equations and principles of fluid mechanics, such as the Bernoulli equation, to determine the optimal tube and orifice diameters that will result in the desired flow rate.

5. What are some challenges in solving this problem?

Some challenges in solving Daniel's Fluid Problem include accurately measuring fluid properties, accounting for friction and turbulence in the system, and considering any practical limitations in tube and orifice dimensions. Additionally, the problem may become more complex when dealing with non-ideal fluids or multiple tubes and orifices.

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