What Causes Small Scale Patterns at Antinodes in Standing Sound Waves?

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SUMMARY

The discussion centers on the observation of small scale striated vibration patterns at antinodes in a Kundt's tube experiment, specifically a tube length of 0.61m resonating at approximately 420Hz. Participants identified these patterns as likely resulting from higher harmonics, which create additional cork dust accumulation with smaller amplitude and closer spacing than the primary nodes and antinodes. Despite initial assumptions about the dominance of the first harmonic, the observed small scale variations exhibited a wavelength of about 1cm, corresponding to a frequency of approximately 33,000Hz. The movement of particles in these ripples occurs perpendicular to the tube's axis, indicating a complex interaction of sound waves within the tube.

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  • Understanding of standing sound waves and their characteristics
  • Familiarity with Kundt's tube experiments
  • Knowledge of harmonics and their effects on sound waves
  • Basic principles of Fourier analysis in sound spectrum analysis
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  • Study the principles of wave interference and resonance in tubes
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Physics students, acoustics researchers, and educators interested in the behavior of sound waves in confined spaces, particularly those conducting experiments with Kundt's tubes or similar setups.

donc
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Homework Statement



I just used the Kundt's tube to illustrate the effect of a standing sound wave in a glas tube. The characteristic nodes and antinodes were perfectly visible and some small scale striated vibration patterns at the antinodes were prominent. What is the physical explanation for these small scale patterns?

Thanks in advance.
 
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donc said:

Homework Statement



I just used the Kundt's tube to illustrate the effect of a standing sound wave in a glas tube. The characteristic nodes and antinodes were perfectly visible and some small scale striated vibration patterns at the antinodes were prominent. What is the physical explanation for these small scale patterns?

Thanks in advance.

Welcome to the forums.

They are most probably higher harmonics. Higher harmonics sound waves are surely present in the tube and they will create additional accumulation of cork dust that will be more closely spaced than the main ones, and they will be of smaller amplitude.
 
Thanks for answering.

Observing higher harmonics has been my first idea as well, however, shouldn't be the first harmonic, i.e. half the wavelength, be the strongest? The observed small scale variations have a very distinct scale. Maybe I should have given more details before. My tube has a length of 0.61m)hence I get for example a resonance for at ~420Hz, i.e. lambda~0.81m. The small scales have a wavelength of about lambda~1cm, i.e. ~33000Hz. Furthermore I did a Fourier analysis of the sound spectrum *outside* of the tube and none of the higher harmonics were very prominent.

Before I performed the experiment I imagined to see the particles moving back and forth rapidly in the antinodes and being more or less motionless in the nodes. However, the particles are moving in these small scale
ripples *perpendicular* to the tube's axis.

Finally, I want to emphazise that these ripples aren't by far an artefact of my experimental design (which is admitably quite simple!) it can also bee seen on all images I have seen so far. As an example I would like you to have a look here:
http://www.physics.montana.edu/demonstrations/video/3_oscillationandwaves/demos/pics/kundtstube3.JPG

I hope somebody can help me with the explanation of these observations.
 
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