Fluids in music: The mathematics of pan's flutes

Bogdan G. Nita, Sajan Ramanathan

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We discuss the mathematics behind the Pan's flute. We analyze how the sound is created, the relationship between the notes that the pipes produce, their frequencies and the length of the pipes. We find an equation which models the curve that appears at the bottom of any Pan's flute due to the different pipe lengths.

Original languageEnglish
Article number181
Issue number4
StatePublished - Oct 10 2019

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


  • Music
  • Pan's flute
  • Sound frequencies
  • Wind instruments

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