Help! Integrating Volume Flux Across a Tube

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SUMMARY

The discussion focuses on calculating the total volume flux from measurements taken at various locations along a 5mm tube ejecting spray fuels. The user has recorded volume flux at increments of 0.0254mm and seeks assistance in integrating these measurements to determine the total volume flux. The conversation also touches on the potential independence of flow rate from the polar angle, suggesting that symmetry may simplify the calculations.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with volume flux measurement techniques
  • Basic knowledge of integration methods
  • Experience with laser measurement systems
NEXT STEPS
  • Research numerical integration techniques for calculating total volume flux
  • Explore the concept of flow rate independence in fluid dynamics
  • Learn about laser Doppler anemometry for advanced flow measurement
  • Investigate symmetry in fluid flow and its implications on measurement accuracy
USEFUL FOR

Engineers, physicists, and students involved in fluid dynamics, particularly those working with spray systems and volume flux measurements.

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Please Help! Integration!

Hi!

I'm having a little problem with an exercise and I don't know how to sort it out.

Basically what I have is a tube of 5mm ejecting spray fuels. At the exit plane I have positioned lasers to measure the volume flux at different locations, starting from one side of the tube to the other side. The increment for each location was of 0.0254mm.

At each location I measured the volume flux, now I have to calculate the total volume flux and I don't know how to do that (I have a basic idea but I'm not quite sure about it).

Could you guys help me out here?

I've attached a picture illustrating what I have. The spots along the diameter line are the volume flux at each location.

http://img88.imageshack.us/img88/2066/jato.jpg

Thanks!
 
Last edited by a moderator:
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This problem isn't as straightforward as it may seem, but may be if we can exploit certain symmetries.

For example, do you know if the flow rate is independent of the polar angle? In other words, if you rotate you laser array by some angle, do your readings change?
 

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