科研之友
微信
新浪微博
Facebook
分享链接
摘要
A weakly nonlinear stability analysis has been conducted for viscous planar liquid sheets moving in a resting inviscid gas medium by a perturbation expansion technique. In the first-order linear area, the disturbances are considered purely varicose. The solutions to the second-order interface displacement have been derived for both temporal instability and spatial instability analyses. It is found that the first harmonic of the fundamental varicose mode is also varicose, and the first-order and second-order varicose waves interact with each other, forming satellite ligaments and causing the eventual breakup of the liquid sheet at full-wavelength intervals of the fundamental wave. The interface deformation has been presented and the breakup time (or length) has been calculated in temporal (or spatial) instability analysis. The results indicate that liquid viscosity always weakens instability for all conditions in the varicose mode, which is different from viscosity that plays a dual role in instability for the sinuous mode concluded by previous researchers. In addition, an energy method is adopted both in the linear segment and nonlinear segment of the temporal instability analysis to further explain the mechanism of instability onset.
- 出版日期2016-3
- 单位北京航空航天大学
