蒸发液体射流表面三维不稳定色散方程的建立

Dispersion Equation of Three-Dimensional Unstable Disturbing Wave on Surface of a Viscous Liquid Jet with Evaporating

讨论了蒸发黏性液体射流的不稳定性问题。假设环境介质的运动为势流运动,基态射流为流速恒定的平行流。对液体射流表面扰动采用简正模态分析法,并以贝塞尔函数的形式表达气相和液相控制方程的解,在射流边界上考虑液体蒸发速率对不稳定性的影响,建立了基于时间模式的射流三维不稳定扰动的色散方程,并对色散方程进行了无量纲化处理,论述了该色散方程对以往所建色散方程的兼容性,以此推进液体射流雾化机理的研究。

The stability problem of an evaporating viscous liquid jet was discussed. The flow of the surrounding medium was assumed to be potential and the basic flow is parallel flow with a constant velocity. The normal mode method was used for the unstable disturbs and led to a time-developing mode where the solutions in the region of a jet and the vapor were expressed by modified Bessel functions. A dispersion equation of three-dimensional unstable disturbs on the surface of a viscous liquid jet with evaporating was derived, and the compatibility of this dispersion equation to the formers was analyzed. Moreover, the dimensionless form of the dispersion equation was obtained. This will help to the understanding of atomization mechanism of a liquid jet.