【摘要】 本文简要介绍了由双流体连续介质模型导出的简化的封闭的可压缩掺气水流基本方程组，推导出一维情形中的特征方程。通过对无滑移和小滑移条件下掺气水流方程特征值的分析，发现气相流线总是一条特征线，水相流线近似是一条特征线，而其余三条特征线分别对应密度波和分别向上、下游传播的声波。声波传播的载体速度由水、气两相速度和密度波的传播速度组合而成，而对声速的进一步分析，显示在水工高速掺气水流中声速可由Ｗｏｏｄ绝热公式表示。更多还原

【Abstract】 A brief discription of the closed system of simplified fundamental equations of compressible aerated flows, which is deduced by using the two fluid continuum model, is presented firstly in the present paper. The characteristic equation for the case of one dimensional compressible aerated flows is derived. From analyses of characteristic values for the case where there is no velocity slip and that small velocity slip, it is found that the gas phase’s stream line is always a characteristic line, and the water phase’s stream line is approximately a characteristic line, and the other characteristic lines are corresponding to density wave and sound waves propagating up and down stream. It is also shown that the carrier velocity of sound in aerated flows is a combination of the velocity of air and water phase and tha of density wave, whilst Wood adiabatic formula is a good approximation for calculating sound velocity in high velocity aerated flows in hydraulic engineering.更多还原