Harmonic components of finite amplitude sound waves reflected at a surface

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Authors

  • M.A. FODA Department of Mechanical Engineering, King Saud University, Saudi Arabia

Abstract

The current analysis addresses the reflection of finite amplitude sound waves at a stationary surface. The analysis develops a two-orders perturbation solution for the nonlinear wave equation governing the velocity potential. The expression for the acoustic pressure derived from the potential lacked uniform validity. Hence it was corrected by employing coordinate straining transformations and thereby a uniformly accurate expression was obtained. Then, the strained coordinate transformations are eliminated by a Fourier analysis and a series representation solution is derived.

References

[1] D.T. BLACKSTOCK, On plane, spherical and cylindrical waves of finite amplitude in lossles fluid, J. Acoust. Soc. Amer., 36, 1, 217–219 (1964).

[2] D.T. BLACKSTOCK, Propagation of plane sound waves of finite amplitude in nondissipative fluids, J. Acoust. Soc. Amer., 34, 1, 9–30 (1962).

[3] L. BJORNO, Undewater applications of nonlinear ultrasound, [in:] Ultrasonics Int. 1975 conf. Proc., IPC Science and Technlogy, London (1975).