On the nonlinear stability behaviour of distorted plane Couette flow

This paper discusses the nonlinear stability behaviour of distorted plane Couette flowto 2-dimensional disturbances,and compares it with that of distorted plane Poiseuille flow.The results show that plane Couette flow is more unstable than plane Poiseuille flow tofinite-amplitude disturbances.     

The linear stability of plane Poiseuille flow under unsteady distortion

This paper investigates the linear stability behaviour of plane Poiseuille flow underunsteady distortion by multiscale perturbation method and discusses further the problemproposed by paper[1].The results show that in the initial period of disturbancedevelopment,the distortion profiles presented by paper[1]will make the disturbances growup,thus augmenting the possibility of instability.     

含周期脉动的大密度比气液同轴射流的Floquet稳定性分析

基于周期脉动速度激励下气液同轴射流的数学模型,运用线性稳定性理论,采用Chebyshev配点法和Floquet理论,将含周期脉动分层流的Floquet稳定性分析扩展到大密度比的情况.研究了液铝-氮气射流的参数共振特性,分析了不同的物理参数对系统稳定性的影响,计算了实验工况并和实验结果进行了比较.     

固体平板上超薄水膜去湿润过程的分子动力学模拟

运用分子动力学模拟研究固体表面超薄水膜的失稳和破裂过程．结果表明薄膜中小扰动将失稳,并在初始阶段线性增长．但固体和液体的相互作用对扰动的初期增长影响较小．最小厚度的下降导致薄膜发生破裂．此后破裂边缘以一定的动态接触角后退．与宏观理论预测一致,边缘半径随时间的变化与时间平方根成正比．若固液相互作用较强,将引起破裂时间延迟,动态接触角减小,固体表面附近的液体密度增加．     

Water structures inside and outside single-walled carbon nanotubes under perpendicular electric field

The structures of water inside and outside(6,6),(8,8), and(10,10) singlewalled carbon nanotubes(SWCNTs) under an electric field perpendicular to the tube axis are investigated by molecular dynamics simulations. The results show that dipole reorientation induced by electric field plays a significant role on the structures of confined water inside and outside SWCNTs. Inside SWCNTs, the average water occupancy and the average number of hydrogen bonds(H-bonds) per water molecule decrease as the electric intensity increases. Because the field intensity is sufciently strong, the initial water structures inside the SWCNTs are destroyed, and the isolated water clusters are found. Outside SWCNTs, the azimuthal distributions of the density and the average number of H-bonds per water molecule around the solid walls become more and more asymmetric as the electric intensity increases. The percentages of water molecules involved in 0–5 H-bonds for all the three types of SWCNTs under diferent field intensities are displayed. The results show that those water molecules involved with most H-bonds are the most important to hold the original structures. When the electric field direction is parallel with the original preferred orientation, the density and the H-bond connections in water will be increased; when the electric field direction is perpendicular to the original preferred orientation, the density and the H-bond connections in water will be decreased.     

On the instability in gas atomization

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Formation of radially expanding liquid sheet by impinging two round jets

A thin circular liquid sheet can be formed by impinging two identical round jets against each other. The liquid sheet expands to a certain critical radial distance and breaks. The unsteady process of the formation and breakup of the liquid sheet in the ambient gas is simulated numerically. Both liquid and gas are treated as incompressible Newtonian fluids. The flow considered is axisymmetric. The liquid-gas interface is modeled with a level set function. A finite difference scheme is used to solve the governing Navier-Stokes equations with physical boundary conditions. The numerical results show how a thin circular sheet can be formed and break at its circular edge in slow motion. The sheet continues to thin as it expands radially. Hence, the Weber number decreases radially. The Weber number is defined as ρu 2 h/σ, where ρ and σ are, respectively, the liquid density and the surface tension, and u and h are, respectively, the average velocity and the half sheet thickness at a local radial location in the liquid sheet. The numerical results show that the sheet indeed terminates at a radial location, where the Weber number reaches one as observed in experiments. The spatio-temporal linear theory predicts that the breakup is initiated by the sinuous mode at the critical Weber number We c =1, below which the absolute instability occurs. The other independent mode called the varicose mode grows more slowly than the sinuous mode according to the linear theory. However, our numerical results show that the varicose mode actually overtakes the sinuous mode during the nonlinear evolution, and is responsible for the final breakup. The linear theory predicts the nature of disturbance waves correctly only at the onset of the instability, but cannot predict the exact consequence of the instability.     

第二届全国航天动力学与控制青年学者论坛暨第七届全国空间轨道设计竞赛研讨会致辞

正各位学者:早上好!我非常高兴能够代表中国力学学会出席第二届全国航天动力学与控制青年学者论坛暨第七届全国空间轨道设计竞赛研讨会.首先,欢迎来自全国各地的青年学者、学生,感谢你们的积极参与,看得出你们在航天动力学与控制、空间轨道设计研究方面一定取得了丰硕的成果.同时,也感谢本次会议的承办单位:南京航空航天大学航天学院、中国科学院太空应用重点实验室、南京航空航天大学青年教授学术联谊会.     

Variation of velocity profile of jet and its effect on interfacial stability

IntroductionSincenineteencentury ,thestabilityofgas_liquidtwo_phasejethasattractedalotofpeoplefortheoreticalstudybecauseofitswideapplicationsinindustry .Thestabilitybehavioriscloselyrelatedtotheshapeofbasicvelocityprofile,andthevelocityprofilesmeasuredfromexperimentsarenotaccurateenough ,itisworthwhiletostudythevelocitymodelinthenumericalsimulation .Insimplermodels,top_hatprofile[1,2 ]issuggestedasbasicflowfortheinviscidandincompressibleliquidandgas.Tocompareitwithrealisticflow ,Suetal.[3]ass…     

Floquet instability of a large density ratio liquid-gas coaxial jet with periodic fluctuation

By numerical simulation of basic flow, this paper extends Floquet stability analysis of interracial flow with periodic fluctuation into large density ratio range. Stability of a liquid aluminum jet in a coaxial nitrogen stream with velocity fluctuation is investigated by Chebyshev collocation method and the Floquet theory. Parametric resonance of the jet and the influences of different physical parameters on the instability are discussed. The results show qualitative agreement with the available experimental data.