A simple approach for evaluation of cut-on condition of higher order modes in inhomogeneous uniform acoustic waveguides

Dokumaci E.

JOURNAL OF SOUND AND VIBRATION, vol.440, pp.231-238, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 440
  • Publication Date: 2019
  • Doi Number: 10.1016/j.jsv.2018.10.032
  • Journal Name: JOURNAL OF SOUND AND VIBRATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.231-238
  • Keywords: Waveguides, Temperature gradient, Cut-on conditions, Oscillatory differential equations, LINEAR TEMPERATURE-GRADIENT, HOT GAS-FLOWS, MEAN FLOW, TRANSMISSION, PROPAGATION, FIELDS, SOUND, DUCTS, PIPE
  • Dokuz Eylül University Affiliated: Yes

Abstract

Uniform acoustic waveguides in initially quiescent inhomogeneous media are governed by Bergmann's wave equation. The transverse modes are independent of the ambient gradient, but there is a void of papers on the cut-on conditions of the higher order axial modes. This paper presents a sufficient cut-on condition and discusses its application to hard-walled ducts in which the mean temperature varies linearly and exponentially along the duct axis. (C) 2018 Elsevier Ltd. All rights reserved.