Abstract

In 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 (Halliday et al 2002 Fundamentals of Physics (Hoboken, NJ: Wiley)). However, it is well known that we need a tube with open end correction ΔL. The correction for a flanged circular tube was first given by Rayleigh (1870 Phil. Trans. R. Soc. Lond. 161 77–118; 1926 The Theory of Sound (New York: Dover)) and experimentally checked by several authors (Bosanquet 1877 Phil. Mag. 4 216; Blaikley 1879 Phil. Mag. 7 339; Boehm 1910 Phys. Rev. 31 341; Bate 1930 Phil. Mag. 10 617; Bate 1937 Phil. Mag. 24 453; Anderson and Ostensen 1928 Phys. Rev. 31 267). In this paper, we show the different methods of obtaining the end correction for a circular tube by using a diffusion process.

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