Archives of Acoustics, 21, 1, pp. 29-36, 1996

Harmonic components of finite amplitude sound waves reflected at a surface

M.A. Foda
Department of Mechanical Engineering, King Saud University, Riyadh, P.0. Box 800, 11421
Saudi Arabia

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.
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