粘性平面液膜喷入可压缩气流中的线性稳定性分析

对粘性平面液膜射流喷射进入可压缩气体环境的线性稳定性进行了理论分析。应用纳维-斯托克斯控制方程组,代入运动学和动力学边界条件,推导得到了线性化和量纲一化的色散关系式。编制Fortran语言数值计算程序,运用穆勒方法求得液膜射流表面波增长率随表面波数变化关系的数值解。分析了气液流速比之差、韦伯数、雷诺数、欧拉数、马赫数等量纲一参数对液膜射流碎裂过程的影响。结果表明,上述量纲一参数均是液膜碎裂的促进因素。

Linear Stability Analysis on Viscous Plane Liquid Film into Compressible Gas Streams

Viscous plane liquid film injected into compressible gas environment was theoretically analyzed by linear stability theory. A linearization and dimensionless dispersion relation was derived by using Navier-Stocks control equations, and kinematic & dynamic boundary conditions. A Fortran language numerical computation program was developed for getting a liquid film surface wave relation between wave growth rate and wave number by Muller method. The effects of some dimensionless parameters, difference between gas/liquid velocity ratios , Weber number We, Reynolds number Re, Euler number Eu, and Mach number Ma, on the liquid film breakup process were analyzed. The results showed that all of above dimensionless parameters were promotion factors for liquid film breakup.