End correction of a closed pipe

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  • #1
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Homework Statement



Is there a scientiically approved method for end correction of a closed pipe.

Homework Equations




The Attempt at a Solution


The formula used is Delta L = (3d) where d = diameter in cm.
 

Answers and Replies

  • #2
963
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Is there a scientiically approved method for end correction of a closed pipe.

i think there are theoretical analysis of the correction by Rayleigh and others and one will have to go through their work...as people who are manufacturing the organ pipes do take care for the exactness of the frequencies to be excited by the pipes

for example one can see;
Lord Rayleigh, Theory of Sound, Vol II, §314 (Dover, NY, 1945 [1896] ) p.201 ff.
http://www.larrylawson.net/Journal/Pipe1V5N2.pdf
 
  • #3
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The formula used is Delta L = (3d) where d = diameter in cm.
Check the correction term ;
perhaps it is 0.3 r or 0.6 D where r and D are radius and diameter of the pipe respectively.
 
  • #4
billy_joule
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According to wiki there is not:

There is no scientifically proven and accepted value for the end correction of a resonant tube, various values ranging from 0.3r to 0.6r have been suggested from numerous disparate experiments. Lord Rayleigh was the first experimenter to publish a figure, in 1871: it was 0.3r.

Take from that what you will.
 
  • #5
haruspex
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Check the correction term ;
perhaps it is 0.3 r or 0.6 D where r and D are radius and diameter of the pipe respectively.
Did you mean "0.6r or 0.3D"?
 
  • #6
963
214
Did you mean "0.6r or 0.3D"?


i might have made an error; pl. see
https://en.wikipedia.org/wiki/End_correction

c269831971eee08a97469fb93611d015.png
is known as end correction, which can be calculated as,

  • for a closed pipe (with one opening):
a802f05e26b2cb3a5aa14b1810417721.png
,
where
4b43b0aee35624cd95b910189b3dc231.png
is the hydraulic radius of the neck and
f623e75af30e62bbd73d6df5b50bb7b5.png
is the hydraulic diameter of the neck;

  • and for an open pipe (with two openings):
d9404c5ca84cb12b0c2c3bcc7984b81a.png
.
 
  • #7
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is it 0.3 d where d is in cm or m
 

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