Harmonic Solutions for the Reflection and Refraction of Finite-Amplitude Acoustic Waves in Two Fluids

DOI

10.2991/mme-16.2017.21How to use a DOI?

Keywords

Acoustic waves, Finite-amplitude, Harmonic solutions, Fluid interface.

Abstract

This paper deals with the reflection and refraction of finite-amplitude acoustic waves obliquely incidents to a plane interface between two lossless fluids. The study is based on the second-order harmonic wave equations in term of displacement potential in Lagrangian coordinate system. Variable parameter separation method is used to get the special solutions of the wave equations. Source conditions and boundary conditions are applied to determine the parameters in the special solutions. Results show that the amplitudes of the incident, the reflected and the transmitted harmonic waves all depend on coordinates a and b. The solution of incident fluid is composed by three parts: the first part corresponds to the nonlinear interactions of the first acoustic field, with amplitude stimulating along coordinates a and b; the second part corresponds to the linear reflection of the second incident wave on the interface and it remains constant when propagation; the third part induced by the interaction between the first incident and reflected waves propagates parallel to the interface with constant amplitude. The special solutions are applicable to wave incidence with any incident angle, not only 0øand 90øas mentioned in previous research.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xiao-Mei Zheng
AU  - Xin-Wu Zeng
PY  - 2016/12
DA  - 2016/12
TI  - Harmonic Solutions for the Reflection and Refraction of Finite-Amplitude Acoustic Waves in Two Fluids
BT  - Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)
PB  - Atlantis Press
SP  - 158
EP  - 163
SN  - 2352-5401
UR  - https://doi.org/10.2991/mme-16.2017.21
DO  - 10.2991/mme-16.2017.21
ID  - Zheng2016/12
ER  -