可压缩黏性圆射流稳定性分析

Stability Analysis of Compressible Viscous Circular Jet

基于线性稳定性理论,得到空间模式下的可压缩黏性液体圆射流自由表面扰动发展的色散方程,并对色散方程进行验证。研究表明:液体可压缩性在射流的分裂与雾化过程中所起到的不稳定作用很小,随着液体马赫数的增大,扰动波的最大增长率基本不变;气体可压缩性对射流的不稳定作用随气体马赫数的增大而增大。黏滞力和表面张力对射流的稳定作用分别随雷诺数和韦伯数的增大逐渐减小;气动力对射流的不稳定作用随气液密度比的增大基本不变。

Mechanism of splitting and atomization of compressible viscous circular jet was studied with linear stability theory. The dispersion equation for disturbance development of liquid jet surface in space mode was obtained and verified. It shows that the influence of liquid compressibility on instability of liquid jet is very small. With the increase of Mach number of liquid, the maximum growth rate of disturbance wave is basically unchanged. Effect of gas compressibility on jet stability increases with the increase of gas Mach number. With the increase of Reynolds number and Weber number, the effect of viscous force and surface tension on jet stability decreases gradually. With the increase of gas-liquid density ratio, the effect of aerodynamic force on jet stability is basically unchanged.