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Why is there an end correction in resonance tubes?


moritree

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Sorry, this doesn't have anything to do with space, or at least very little - but at least it's got the physics part, right?

When you're calculating the resonant frequency of a tube (open-ended in my case), you have to add an end correction as the theoretical resonance is lower than it is in practice. I've found a few sources citing approximately 1.2r, but some conflicting, and some saying that it has not been theoretically proven at all. Nowhere have I found an explanation why. 

Edited by moritree
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There's two way to get an equation :

1. Conclusion from reality, or often called regression.

2. Working from theories upwards to the problem being asked (deriving an equation, to say).

I'm not aware of the correction, so I have no idea. Probably you should try it out or get some general harmonics equation then derive it from there.

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It appears to be explained in its own wiki page :)

https://en.wikipedia.org/wiki/End_correction

The correction being necessary due to things such as air (or whatever gas) viscosity, boundary layer effects, and other inconsistencies in the local speed of sound.

That the theory requires a corrective term is not to the detriment of the theory or the process which produced it, it merely must refer to other theories (those which describe the motion of sound waves for example) in order to reach the most accurate prediction.

Edited by p1t1o
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