Author(s): W. Li; W. Li

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Abstract: Some fundamental topics of the compressibility influence of the extra-high-velocity aerated water flow in hydraulic engineering are studied in the present paper. A closed system of the simplified basic equations of the aerated water flow is deduced using the two-fluid model. A general formula of the sound velocity in the aerated water flow is derived using the sound analysis. It is found that the Wood adiabatic sound formula is a good approximation for calculating the sound velocity in the aerated water flow. Using the analysis of the order of the magnitude, it is found that the compressibility is important in the following cases. 1) The sound motion in the aerated water flow. 2) The aerated water flow with extra great depth. 3) The steady extra-high-velocity aerated water flow in which the mixture velocity is of the order of the sound velocity in it. It is shown that the adiabatic Mach number may act as the compressibility criterion in the steady aerated water flow. For the case of the steady homogeneous aerated water flow, a detailed compressibility standard is obtained, which is just the same as that in aerodynamics.

DOI: https://doi.org/10.1080/00221680009498316

Year: 2000