线性与非线性稳定性理论下液体射流空间发展的对比研究

发布时间：2019-06-03 22:39

【摘要】：分别基于线性和非线性稳定性理论,建立了描述同轴旋转可压缩气体中含空泡液体射流稳定性的一阶与二阶色散方程,并对色散方程进行验证分析;在此基础上,进行了射流表面一阶与二阶扰动及其发展的分析,线性与非线性稳定性理论下射流空间发展的对比研究.研究结果表明,二阶扰动波的波长和振幅明显小于一阶扰动波;沿射流方向,射流表面的扰动发展主要由一阶扰动波的发展所主导;随着轴向距离的增大,二阶扰动波才开始逐渐对扰动的发展起一定的作用.两种稳定性理论下射流表面的占优扰动模式不会发生改变;采用非线性稳定性理论时,可以反映一些实验中发现的射流表面出现"卫星液滴"的现象,由于考虑了射流表面的二阶扰动,射流界面振荡程度加剧.
[Abstract]:Based on the linear and nonlinear stability theories, the first-order and second-order dispersion equations describing the stability of cavitation liquid jet in coaxial rotating compressible gas are established, and the dispersion equation is verified and analyzed. On this basis, the first-order and second-order disturbances on the jet surface and their development are analyzed, and the spatial development of the jet under the linear and nonlinear stability theory is compared. The results show that the wavelength and amplitude of the second order disturbance wave are obviously smaller than those of the first order disturbance wave, and along the jet direction, the disturbance development of the jet surface is mainly dominated by the development of the first order disturbance wave. With the increase of axial distance, the second order disturbance wave begins to play a certain role in the development of disturbance. Under the two stability theories, the dominant disturbance mode on the jet surface will not change. When the nonlinear stability theory is used, the phenomenon of "satellite droplets" on the jet surface can be reflected in some experiments. Due to the consideration of the second-order disturbance on the jet surface, the oscillation degree of the jet interface is aggravated.
【作者单位】：北京交通大学机械与电子控制工程学院;
【基金】：国家自然科学基金(批准号:51276011) 北京市自然科学基金(批准号:3132016) 中国博士后科学基金(批准号:2016M591061) 中央高校基本科研业务费(批准号:2016JBM049)资助的课题~~
【分类号】：O358

【相似文献】