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End correction of a closed pipe

  • Thread starter Zoro
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    sound
  • #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
213
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
963
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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
Science Advisor
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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
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  • #7
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is it 0.3 d where d is in cm or m
 

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