Kink-like mode of a double gradient instability in a compressible plasma current sheet

A linear MHD instability of the electric current sheet, characterized by a small normal magnetic field component, varying along the sheet, is investigated. The tangential magnetic field component is modeled by a hyperbolic function, describing Harris-like variations of the field across the sheet. For this problem, which is formulated in a 3D domain, the conventional compressible ideal MHD equations are applied. By assuming Fourier harmonics along the electric current, the linearized 3D equations are reduced to 2D ones. A finite difference numerical scheme is applied to examine the time evolution of small initial perturbations of the plasma parameters. This work is an extended numerical study of the so called “double gradient instability”, – a possible candidate for the explanation of flapping oscillations in the magnetotail current sheet, which has been analyzed previously in the framework of a simplified analytical approach for an incompressible plasma. The dispersion curve is obtained for the kink-like mode of the instability. It is shown that this curve demonstrates a quantitative agreement with the previous analytical result. The development of the instability is investigated also for various enhanced values of the normal magnetic field component. It is found that the characteristic values of the growth rate of the instability shows a linear dependence on the square root of the parameter, which scales uniformly the normal component of the magnetic field in the current sheet.     

强迫扰动下的射流撞击雾化特性

为全面把握撞击式喷嘴的工作特性，进一步认识雾化在燃烧不稳定中所起的作用，采用试验结合数值模拟的方法开展了强迫扰动条件下撞击式喷嘴的非稳态雾化特性研究。试验方面，采用水力扰动装置产生喷前压力扰动，由脉动压力传感器记录喷前的脉动压力，由高速摄影对动态的喷雾场进行背光拍摄。数值模拟则是基于开源程序Gerris开展，通过给定周期性变化的速度入口来模拟前端压力扰动下的撞击雾化过程。首先验证了建立的数值模拟方案处理非稳态雾化的有效性，其次将自然雾化与强迫扰动雾化进行对比，分析了强迫扰动条件下的撞击雾化特性，最后研究了扰动频率与扰动幅值对于撞击雾化的影响。结果表明：强迫扰动下的射流撞击喷雾场出现了弓形液滴群局部聚集的现象，并且在时间上表现出周期性特征，雾化频率与强迫扰动的频率一致。在研究的频率范围（1 257~3 563 Hz）内，撞击式喷嘴的雾化对扰动都有响应。扰动频率主要影响相邻弓形液滴群之间的间距以及雾场与扰动压力之间的相位关系，扰动幅值则主要影响雾化Klystron效应的强度。随着扰动幅值的增大，液膜的破碎长度减小，撞击点下游的流量特性由线性向非线性转变，由正弦波形转变为陡峭前缘波形。     

Mechanism of stall and surge in a centrifugal compressor with a variable vaned diffuser

To expand the stable operating range of compressors, understanding the mechanism of flow instability at low flow rates is necessary. In this paper, the mechanism of stall and surge in a centrifugal compressor with a variable vaned diffuser is experimentally investigated, where the diffuser blade setting angle can be adjusted. Many dynamic pressure transducers are mounted on the casing surface of the compressor. From the design condition to surge, dynamic pressure data is recorded throughout the gradual process. According to the signal developing status, the typical modes of compressor instability are defined in detail, such as stall, mild surge, and deep surge. A relatively high-frequency stall wave originates in the impeller and propagates to the diffuser, and finally stimulates a deep surge in the compressor. The compressor behavior during surge differs at different diffuser vane angles. When the diffuser vane angle is adjusted, both the unstable form and the core factor affecting the overall machine stability change. A specific indicator is proposed to measure the instability of each component in a compressor, which can be used to determine the best region for stability extension technologies, such as a holed casing treatment, in different compressor applications.     

The effect of the longitudinal propagating waves on the electron acceleration in the reconnecting current sheet

Based upon the most efficient electron acceleration near the midplane of 3D non-neutral driven reconnecting current sheet (RCS) and the electrostatic wave excitation by the drift Maxwellian distribution of electrons in Vlasov simulation, we assume that the electrostatic waves mainly propagate opposite to the reconnecting electric field and investigated how these waves affect the electron acceleration. The main results are: (1) when the electron’s velocity equals to the phase speed of the waves, they will be trapped and have the different accelerating characteristics from the untrapped electrons through solving the momentum equations of electrons analytically; (2) the test particle simulations further prove that the number of the energetic electrons decreases with the increasing intensity of unstable waves, and the distribution of the energetic electrons takes on the double power-law.     

用弱非线性理论研究二次稳定性问题

本文把研究三波共振的弱非线性理论应用于平板边界层和平面Poiseuille流三维扰动的二次稳定性问题。其数值结果与文献[1]、[2]用Floquet形式的二次稳定性理论得出的结论是一致的。     

放宽静稳定性在空空导弹总体设计中的应用

将主动控制技术引入空空导弹总体设计中，研究了空空导弹放宽静稳定性设计问题，讨论了放宽静稳定性设计对导弹性能的改善，最后给出了静不稳定弹体的系统稳定性判定条件，并着重讨论了静不稳定弹体的人工稳定问题，研究结果对于新一代先进空空导弹的总体设计工作有一定的参考价值。     

二维平行剪切层声波产生和辐射的数值模拟

 在二维线化Euler 方程的基础上解决了第3 届计算气动声学专题讨论会的第5 类标准问题: 二维平行剪切层声波的产生和辐射。频散相关保持有限差分格式用于空间离散, 低频散低耗散的龙格库塔法用于时间积分。重点使用了远场无反射边界条件。计算结果与NASA GLENN 研究中心的解析解符合得很好。     

成形极限曲线（FLC）的新概念

失稳理论是FLC的理论基础。文章论述了FLC理论研究中存在的问题。指出:一般出厂板的表面状况不会影响板料的集中失稳;板内损伤平面应变时最严重。双拉时,板内损伤的积累、发展,导致应力状态向平面应变漂移;拉压时,载荷失稳后引起的双拉,也会导致平面应变。因此平面应变状态的出现是板料集中失稳的共同原因。在此基础上提出了建立FLC的统一的模型。     

Hydrodynamic instabilities and transverse waves in propagation mechanism of gaseous detonations

The present study examines the role of transverse waves and hydrodynamic instabilities mainly, Richtmyer–Meshkov instability (RMI) and Kelvin–Helmholtz instability (KHI) in detonation structure using two-dimensional high-resolution numerical simulations of Euler equations. To compare the numerical results with those of experiments, Navier–Stokes simulations are also performed by utilizing the effect of diffusion in highly irregular detonations. Results for both moderate and low activation energy mixtures reveal that upon collision of two triple points a pair of forward and backward facing jets is formed. As the jets spread, they undergo Richtmyer–Meshkov instability. The drastic growth of the forward jet found to have profound role in re-acceleration of the detonation wave at the end of a detonation cell cycle. For irregular detonations, the transverse waves found to have substantial role in propagation mechanism of such detonations. In regular detonations, the lead shock ignites all the gases passing through it, hence, the transverse waves and hydrodynamic instabilities do not play crucial role in propagation mechanism of such regular detonations. In comparison with previous numerical simulations present simulation using single-step kinetics shows a distinct keystone-shaped region at the end of the detonation cell.     

Heliopause stability revisited: dispersion analysis and numerical simulations

The heliopause, a surface separating the tenuous hot heliosheath flow and the dense, strongly magnetized interstellar flow, is subject to instabilities of the Rayleigh–Taylor and Kelvin–Helmholtz types. The dynamic evolution of this discontinuity is of considerable importance for understanding the neutral atom and cosmic-ray filtration at the interface. Here, we investigate the stability of the upwind heliopause in the presence of charge exchange collisions using both an analytic (dispersion relation) approach and a numerical model that includes the interstellar magnetic field. The linear analysis yields a cubic dispersion relation that admits imaginary solutions for the full range of wavenumbers, implying that the stagnation point on the heliopause is unconditionally Rayleigh–Taylor unstable to small perturbations propagating parallel to the discontinuity surface. We confirm this result by following the nonlinear development of the instability with a time-dependent simulation using a four fluid MHD-neutral numerical code. For the typical solar wind and LISM conditions, we obtain cyclical evolution of the upwind heliopause with a period of the order of 100 years. We also identify two areas of space physics where the instability may have important implications.