圆射流碎裂过程的理论研究对于发动机喷雾与燃烧科学研究至关重要,线性稳定性理论是对射流碎裂过程研究的一种重要方法.论述了粘性圆射流在不可压缩气体介质中的线性稳定性理论分析,应用液?气相的线性化纳维?斯托克斯量纲一控制方程组和量纲一化的线性运动学和动力学边界条件,采用对动量方程点乘哈密顿算子的方法,推导出了n 阶量纲一色散准则关系式.
The theoretical research of circular liquid jets disintegration is very important for the study on the science of engine atomization and combustion. The linear stability theory is an important method for studying on disintegration process of circular liquid jets. This paper reports a linear stability analysis for a viscous circular liquid jet moving in a incompressible gas medium. Derivation employs the linearized Navier?Stokes dimensionless equations, the dimensionless linearized kinematic and dynamic boundary conditions of liquid and gas phases. Meanwhile, applying the dot product of the gradient operator ▽with momentum equation method, a n?order dimensionless dispersion relation is obtained.
曹建明,侯婕.孔式喷嘴油束碎裂的线性稳定性理论研究[J].动力学与控制学报,2018,16(4):356~360; Cao Jianming, Hou Jie. Investigation on linear stability theory for oil jet disintegration of orificial atomizer[J]. Journal of Dynamics and Control,2018,16(4):356-360.
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