Experimental and numerical study for the representation of standing waves in a Kundt's tube

TL;DR

This paper combines experimental measurements and computational simulations to analyze standing waves in a Kundt's tube, demonstrating wave profiles for multiple harmonics and validating results against theoretical models.

Contribution

It introduces a dual approach of experiments and Python-based simulations to study wave behavior in Kundt's tubes, enhancing understanding of acoustic wave patterns.

Findings

Wave profiles for the first four harmonics are obtained.

Experimental results align well with theoretical predictions.

Simulation effectively models the temporal evolution of standing waves.

Abstract

The study of the behavior of a standing wave inside a resonant cavity, such as a closed tube, has always been of great revelation in the manufacture of wind musical instruments, in addition to research carried out on the transfer and absorption of heat, energy and pressure for the acoustic characterization of materials by injecting sound waves at one end of the Kundt's tube. In this work, we did the implementation of two experiments for measure the speed of sound, using a Kundt's tube where also we obtained the bellies and nodes of the sound wave and we verificated with a computational code that was wrote for us in Python, in which we made simulation of the temporal evolution was achieved of the wave that vibrated inside the tube. Finally, we show the wave profile for the first four harmonics with computational simulations and we presented the experimental results by two different methods, these were compared with the obtained using the equations modeled by the undulatory theory of physics.