具有线性温度分布的射流失稳研究  

Study on Jet Instability with Linear Temperature Distribution

作　　者：张涛[1,2] 陈君 李永平[1] 白松 陈阳[1,2] 吕明[3] Zhang Tao;Chen Jun;Li Yongping;Bai Song;Chen Yang;Lyu Ming(Beijing Institute of Control Engineering,Beijing 100190,China;Beijing Engineering Research Center of Efficient and Green Aerospace Propulsion Technology,Beijing 100190,China;College of Mechanical and Electrical Engineering,Beijing Jiaotong University,Beijing 100044,China)

机构地区：[1]北京控制工程研究所,北京100190 [2]北京市高效能及绿色宇航推进工程技术研究中心,北京100190 [3]北京交通大学机械与电子控制工程学院,北京100044

出　　处：《内燃机学报》2020年第3期273-279,共7页Transactions of Csice

基　　金：北京市自然科学基金资助项目(3184064,3182030).

摘　　要：基于线性稳定性理论,针对具有线性温度分布的液体射流分裂过程,建立了射流扰动控制方程,给出了扰动方程在气/液分界面上应满足的边界条件,推导出了描述存在温度扰动的圆柱形液体射流自由表面三维扰动发展的色散关系;模型中同时考虑了空化气泡、射流周围气体的旋转以及射流和周围气体的可压缩性;对建立的数学模型及相应的求解方法进行了验证.在此基础上,分析了非轴对称扰动下具有线性温度分布的射流表面扰动波数和扰动增长率的演化,讨论了存在温度扰动时,空化气泡、气体旋转以及射流和气体可压缩性对射流稳定性作用的变化.结果表明:温度扰动的存在不仅会对液体射流稳定性产生较大影响,使得最大扰动增长率明显增大,扰动波波数范围显著拓宽,而且还会对空化气泡、气体旋转以及射流和气体可压缩性对射流稳定性的作用产生一定的影响.Based on the linear stability theory,the control equations of jet disturbance were established for the splitting process of liquid jet with linear temperature distribution.The boundary conditions of the disturbance equations in gas-liquid interface were given,and then the dispersion relation describing the three-dimensional disturbance on the free surface of cylindrical liquid jet was derived.Besides,the gas-liquid temperature difference,supercavitation,rotation of the surrounding gas,as well as the compressibility of the jet and the surrounding gas were considered in the mathematical model.The corresponding numerical method for solving the mathematical model was proposed and verified by the experimental data from references,and verification results show that the model and its solution method is correct and reasonable.Furthermore,the effects of temperature differences on jet instability under asymmetric disturbance conditions were analyzed,and the effects of supercavitation,gas rotation and fluids compressibility on the stability of liquid jet in the presence of temperature difference were discussed.The results show that the gas-liquid temperature difference plays an important role in jet instability.Temperature difference enhances the influences of supercavitation,gas rotation and fluids compressibility on the stability of liquid jet.

关 键 词：液体射流 热稳定性 温度扰动 数学模型 

分 类 号：TK421[动力工程及工程热物理—动力机械及工程]