Open End Correction for Flanged Circular Tube from the Diffusion Process

TL;DR

This paper explores the calculation of open end correction for flanged circular tubes using diffusion process methods, providing a theoretical perspective on a classical acoustics problem.

Contribution

It introduces a novel approach to derive the end correction for circular tubes through diffusion process analysis, expanding on traditional methods.

Findings

Different methods for obtaining end correction are demonstrated.

The diffusion process approach offers a new perspective on classical acoustics.

The results align with experimental data from previous studies.

Abstract

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 $\Delta L$. 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.