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 language | English |
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Pages (from-to) | 867-874 |
Number of pages | 8 |
Journal | Journal of the Acoustical Society of America |
Volume | 97 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1995 Feb |
All Science Journal Classification (ASJC) codes
- Arts and Humanities (miscellaneous)
- Acoustics and Ultrasonics