液膜喷射色散关系式的非线性稳定性推导

Derivation of dispersion relations of liquid film in sprays by nonlinear stability theory

根据液体、气体的非线性纳维-斯托克斯控制方程、附加控制方程和边界条件方程,推导出了液膜两侧表面波各种相位角下的不稳定雾化模型喷射表面波量纲一色散准则关系式。结果表明:色散关系式与准则(液体韦伯数、欧拉数、气液体雷诺数和气体马赫数)有关,而气液体表面波的圆频率和气相扰动振幅的差别取决于雷诺数;在此基础上,能够进一步研究喷射表面波的波形、碎裂条件、碎裂点的最不稳定频率,以及射流稳定性随准则的变化关系。

The dimensionless dispersion relations of instability spray modeling under various phase angles of the surface waves on film's two sides are built according to both liquid and gas phase nonlinear N-S equations,additive control equation and boundary conditions.The results show that dimensionless dispersion relations are concerned with some dimensionless parameters,such as liquid Weber number,liquid Euler number,liquid and gas Reynolds number,gas Mach number.The gas disturbance amplitude difference on two surface waves and both liquid and gas complex eigenfrequency depends on Reynolds number.The wave shapes,breakup conditions,the most unstable frequency of breakup point,and stability of liquid jet change with these dimensionless parameters can be researched.1 fig,7 refs.