Open End Correction for Flanged Circular Tube from the Diffusion Process

In the physics lessons on waves and resonance phenomena in high school and college, we usually consider sound waves in a tube with open or closed ends \cite{ResnikHalliday}. However, it is well known that we need a tube with open end correction $\mathrm{\Delta }L$. The correction for a flanged circular tube was first given by Rayleigh \cite{Rayleigh} and experimentally checked by several authors \cite{exp}. In this paper, we show the different methods of obtaining the end correction for a circular tube by a diffusion process.