Intrinsic Nonlinear Effect on Flow Field via Sinusoidal Vibrating Acoustic Sources with Low Amplitude

蔡乙憲(Y. S. Tsai)

Chinese Journal of Physics

11卷1期（1973 / 04 / 01）

57 - 64

英文

Sinusoidal vibration of a plane at the edge x=0 of an ideal fluid causes sound to be radiated into the fluid. The motion begins at t=0. Of primary interest is the spectrum of velocity distribution in the far field due to the inherent nonlinear properties of u, p, p correlations.Sinusoidal vibration of sources with cylindrical and spherical symmetry at γ=γ(subscript 0), where γ(subscript 0) equals one foot, are also investigated. In each case, the analysis is confined in the domain of low amplitude, and its effect on the sound field up to the order of ε^2 is considered, where ε stands for acoustic Mach number.Shock formation phenomena and the pressure ratio of the second-harmonic to the fundamental are also investigated at frequencies of 1KHz and 10KHz for points of 1, 2 and 3 feet from sources which have a sound pressure level of 154db.