Exponential horn revisited: wave equation, normal modes and experimental measurements

MATAR, M; PARODI, M A; RAVIOLA, L; NOVARA, I; VERA, F; GÓMEZ, B J; ROATTA, A; REPETTO, C E

EUROPEAN JOURNAL OF PHYSICS

IOP PUBLISHING LTD

Año: 2023 vol. 44 p. 1 - 15

0143-0807

In this work, a theoretical analysis is first presented to find the wave equationcorresponding to the propagation of disturbances in the air contained inside atube of variable cross section. In particular, the case of a tube with a circularcross section whose area varies exponentially as a function of the axialcoordinate is studied. The hypotheses of the model used are discussed and thesolutions of the wave equation obtained are presented. Secondly, and with theaim of validating the model used, measurements are made on a tube such asthe one described, built using a 3D printer.