Thermoviscous effects on transient and steady-state sound beams using nonlinear progressive wave equation models

Gee Pinn James Too, Shyi Tsong Lee

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Earlier NPE (nonlinear progressive wave equation) models were developed without considering dissipative effects of the media. In the present study, the thermoviscous dissipation term is derived and added to the NPE models. According to types of waves and coordinates under consideration, four formulations of dissipative versions of NPE are developed. Cylindrical and spherical versions of NPE which are suitable for describing propagation of sound beams are used to study the dissipative effects on a tone burst. The dissipative NPE version gives excellent agreement with experiment data by Moffett et al. [J. Acoust. Soc. Am. 47, 1473-1474 (1970); 49, 339-343 (1971)] and Lockwood et al. [J. Acoust. Soc. Am. 53,1148-1153 (1973)]. Also, the dissipative NPE version can describe phenomena of self-demodulation. In addition, it is concluded that the number of wavelengths that are needed in an initial tone burst in order to obtain steady-state parts in the waveform is affected by the locations under consideration and the dissipation value.

Original languageEnglish
Pages (from-to)867-874
Number of pages8
JournalJournal of the Acoustical Society of America
Volume97
Issue number2
DOIs
Publication statusPublished - 1995 Feb

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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