Designing a resonance tube with a defined ambient wind speed

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Discussion Overview

The discussion revolves around designing a resonance tube that resonates at a specific ambient wind speed of 4 mph (approximately 1.78 m/s). Participants explore the relationship between wind speed and resonant frequency, as well as the necessary calculations and theoretical background for constructing such a device.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • One participant expresses confidence in calculating the resonant frequency of a cylinder but is uncertain about how to determine the wind speed required for resonance.
  • Another participant references historical research on wind instruments, suggesting that empirical design has been practiced for centuries, but theoretical frameworks are relatively recent.
  • A participant questions the concept of "air consumption rate" (Q) and its relevance to their design, noting their understanding of pressure measurements at different points in the cylinder.
  • Another participant clarifies that the air consumption rate refers to the air needed to produce sound in instruments like organ pipes and recorders, and mentions the need for sufficient blowing pressure for resonance.
  • Concerns are raised about the feasibility of achieving resonance at the specified wind speed, with references to typical blowing pressures required for various wind instruments.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the feasibility of achieving resonance at the desired wind speed, and there are multiple competing views regarding the theoretical and practical aspects of the design.

Contextual Notes

Participants highlight the complexity of adapting existing theories and empirical data to the specific design of a resonance tube, indicating potential limitations in current understanding and application.

Who May Find This Useful

Individuals interested in acoustics, musical instrument design, and experimental physics may find this discussion relevant.

AuroraIndust
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Hello,

As we know, when you blow over the neck of a bottle, it resonates at a certain frequency.

I want to build a cylinder that will resonate at a certain wind speed: 4 mph or about 1.78 m/s

I definitely know how to find the resonant frequency of a cylinder. However, I'm not sure what equation would help me solve for finding what "wind speed" over the top would cause it to resonate!

What am I missing here? Is this a more difficult problem than I anticipate?

Thanks!
 
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People have been designing wind instruments empirically for thousands of years, but it seems that a theory of what works and what doesn't was first published only in 1971!

The original paper is in German and is about organ pipes, so the geometry isn't exactly the same as your situation, but here's a reference to a (very short) summary in English: http://www.mmdigest.com/Tech/isingform.html

If you investigate how well this works for bottles, you will probably be doing some genuinely original research.
 
Do you know what Q, the "Air consumption rate" might be referring to? I don't see where any air is being "consumed".

I can find the pressure of the air at the open end of the cylinder, and I know the pressure at the bottom of the cylinder. Assuming I know those and several other things I should be able to calculate what size/volume tube will work, right?

If someone can assist me in adapting this (http://www.mmdigest.com/Tech/isingform.html) to work with my situation, that would be much appreciated. As I can not figure out a way...

Thanks for any help!
 
An organ pipe (or a recorder, for that matter) needs air blown into it: Thats your air consumption rate.
Are thinking of something like a a pan flute?
You can find a lot of information and details in Fletcher/Rossing, The physics of musical instruments.
And if my experience with instruments is not totally off: I don´t think you can make a speed detector out of a flute, and 2m/sec is far too slow.
Recorders need a blowing pressure of a few cm water gauge; organs are nearer to 10cm. (Transverse) flutes are not much different.
1cm water gauge = 100Pa => ~13m/sec

In the link, Walcker is a german organ builder and Hausmitteilung is "internal communication". I´m sure you can find the articles by Ising elswhere
 

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