Exponential horn revisited: wave equation, normal modes and experimental measurements. (17th March 2023)

• Record Type: Journal Article
• Authors: Matar, M; Parodi, M A; Raviola, L; Novara, I; Vera, F; Gómez, B J; Roatta, A; Repetto, C E
• Is Part Of: European journal of physics. Volume 44:Number 3(2023)
• Publication Date: 2023-03-17
• Subjects: exponential horn -- wave equation -- normal modes -- impedance; Physics -- Periodicals; Physics -- Study and teaching (Higher) -- Europe -- Periodicals; 530
• DOI: 10.1088/1361-6404/acbef0
• Languages: English
• ISSNs: 0143-0807

Abstract

Abstract: In this work, a theoretical analysis is first presented to find the wave equation corresponding to the propagation of disturbances in the air contained inside a tube of variable cross section. In particular, the case of a tube with a circular cross section whose area varies exponentially as a function of the axial coordinate is studied. The hypotheses of the model used are discussed and the solutions of the wave equation obtained are presented. Secondly, and with the aim of validating the model used, measurements are made on a tube such as the one described, built using a 3D printer.