Abstract
Hydraulic jump of high-Froude number flow entrains air bubbles with high concentrations, thus scattering lowfrequency sound to the environment. In the present study, the frequency of the sound scattered from a dissipater of a spillway was predicted by the Helmholtz equation derived from a phenomenological equation of multi-phase flow. This low frequency sound was considered to be generated by the oscillation of the bubble cloud in the region of dissipater with high void ratio.Based on the Helmholtz equation for sound wave, the eigen-value problem was solved analytically for the simplified models of the dissipater and numerically for the more practical model. The eigen-frequencies obtained from these models were compared to the experimental results and shown to be well-predicted by the present method.
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