高速进气道抛罩过程内流场演化特性研究

为探究进气道整流罩打开过程中内流场的演化规律,针对下颌式进气道及其配套整流罩,基于重叠网格法求解N-S方程,详细分析了抛罩过程中内流场演化过程与特征流场结构。研究表明,堵罩时,整流罩前端发展出V形激波,整流罩尾部形成后向台阶且产生一对涡矢量方向相反的流向涡,开罩过程中,整流罩前端的V形激波与尾部的后向台阶均会对内流场流动产生影响,捕获流量在中间某时刻达到峰值且大于稳定状态。对于开罩过程流动准定常且内流道无大分离区的流场,进气道在V形激波打在唇口时完成起动且整流罩在此后不影响内流场流动。假设的匀加速转动与重构出的真实转动吻合较好,对于更精确的运动过程模拟可采用三次函数的角速度变化律。     

A self-similar solution of a curved shock wave and its time-dependent force variation for a starting flat plate airfoil in supersonic flow

The problem of aeroelasticity and maneuvering of command surface and gust wing interaction involves a starting flow period which can be seen as the flow of an airfoil attaining suddenly an angle of attack. In the linear or nonlinear case, compressive Mach or shock waves are generated on the windward side and expansive Mach or rarefaction waves are generated on the leeward side. On each side, these waves are composed of an oblique steady state wave, a vertically-moving one-dimensional unsteady wave, and a secondary wave resulting from the interaction between the steady and unsteady ones. An analytical solution in the secondary wave has been obtained by Heaslet and Lomax in the linear case, and this linear solution has been borrowed to give an approximate solution by Bai and Wu for the nonlinear case. The structure of the secondary shock wave and the appearance of various force stages are two issues not yet considered in previous studies and has been studied in the present paper. A self-similar solution is obtained for the secondary shock wave, and the reason to have an initial force plateau as observed numerically is identified. Moreover, six theoretical characteristic time scales for pressure load variation are determined which explain the slope changes of the time-dependent force curve.     

Kink mode m = 1 in magnetic tube with discontinuous magnetic field

In this paper, we study conditions of realization and stability of kink modes with azimuthal wave numbers $m=\pm 1$ in cylindrical plasma flex with twisted magnetic field and homogeneous current along its axis. We assume permanent axial magnetic field both inside and outside the flex, surrounded by currentless plasma. Azimuthal magnetic field decreases inversely proportional to the distance from the boundary beyond the flex. We derived dispersion equations for stable and unstable modes in approximation of “thin” plasma flex. The analysis of equations has been provided for the case of discontinuous axial magnetic field on flex’s boundary. Conditions of propagation of wave modes have been defined. It was shown, that unstable modes can be implemented in certain interval of longitudinal wavenumbers. Results can be applied for the interpretation of solar magnetic tubes behavior, using measurements, provided by spacecrafts.     

斜激波总压损失率极小值理论解与物理意义

以法向马赫数作为激波强度表征量,对斜激波关系式进行重新推导,得到了穿过激波总压损失率极小值的理论解。控制方程表达式为激波角对物面角的线性函数。依据斜激波总压损失率极小值解析公式,首先,绘制了针对超声速流总压损失率应用的楔形角-激波角-马赫数的斜激波效率图。其次,通过生成斜激波三维总压损失率等值线图,呈现了总压损失率在楔形角-激波角-特征马赫数空间上的分布规律。此外,利用斜激波效率图,揭示了等总压损失率条件下马赫数与激波角的对称双解现象。     

基于内模原理的复杂挠性卫星姿态控制研究

首先对具有运动挠性附件的航天器的姿态动力学模型进行了简要讨论和分析,证明了对于受步进扰动的复杂挠性卫星系统,采用输出反馈PD控制仅能得到一致有界稳定的结论。为了获得闭环系统的渐近稳定性能,进一步构造了具有内模补偿的PD控制系统,并且根据Lyapunov理论给出了严格证明。基于美国GOES 8号静止轨道气象卫星公布的动力学参数,对PD控制及含有内模补偿的PD控制两类控制器进行了仿真对比,以校验所设计控制系统的有效性。最后,进行了总结并提出进一步的研究设想。     

Small amplitude ion acoustic solitons in a weakly magnetized plasma with anisotropic ion pressure and kappa distributed electrons

The Zakharov–Kuznetzov (ZK) equation is derived for nonlinear electrostatic waves in a weakly magnetized plasma in the presence of anisotropic ion pressure and superthermal electrons. The anisotropic ion pressure is defined using Chew–Goldberger–Low (CGL) while a generalized Lorentzian (kappa) distribution is assumed for the non-thermal electrons. The standard reductive perturbation method (RPM) is employed to derive the two dimensional ZK equation for the dynamics of obliquely propagating low frequency ion acoustic wave. The influence of spectral index (kappa) of non-thermal electron on the soliton is discussed in the presence of anisotropic ion pressure in plasmas. It is found that ion pressure anisotropy and superthermality of electrons affect both the width and amplitude of the solitary waves. On the other hand the magnetic field is found to alter the dispersive property of the plasma only, and hence the width of the solitons is affected while the amplitude of the solitary waves is independent of external magnetic field. The numerical results are also presented for illustrations.     

Ion-acoustic waves in unmagnetized collisionless weakly relativistic plasma of warm-ion and isothermal-electron using time-fractional KdV equation

Collisionless unmagnetized plasma consisting of a mixture of warm ion-fluid and isothermal-electron is considered, assuming that the ion flow velocity has a weak relativistic effect. The reductive perturbation method has been employed to derive the Korteweg–de Vries (KdV) equation for small – but finite-amplitude electrostatic ion-acoustic waves in this plasma. The semi-inverse method and Agrawal’s method lead to the Euler–Lagrange equation that leads to the time fractional KdV equation. The variational-iteration method given by He is used to solve the derived time fractional KdV equation. The calculations show that the fractional order may play the same rule of higher order dissipation in KdV equation to modulate the soliton wave amplitude in the plasma system. The results of the present investigation may be applicable to some plasma environments, such as space-plasmas, laser-plasma interaction, plasma sheet boundary layer of the earth’s magnetosphere, solar atmosphere and interplanetary space.     

Wolf–Rayet optically thick winds with Alfvén waves

The Wolf–Rayet (WR) stars are hot luminous objects which are suffering an extreme mass loss via a continuous stellar wind. The high values of mass loss rates and high terminal velocities of the WR stellar winds constitute a challenge to the theories of radiation driven winds. Several authors incorporated magnetic forces to the line driven mechanism in order to explain these characteristics of the wind. Observations indicate that the WR stellar winds may reach, at the photosphere, velocities of the order of the terminal values, which means that an important part of the wind acceleration occurs at the optically thick region. The aim of this study is to analyze a model in which the wind in a WR star begins to be accelerated in the optically thick part of the wind. We used as initial conditions stellar parameters taken from the literature and solved the energy, mass and momentum equations. We demonstrate that the acceleration only by radiative forces is prevented by the general behavior of the opacities. Combining radiative forces plus a flux of Alfvén waves, we found in the simulations a fast drop in the wind density profile which strongly reduces the extension of the optically thick region and the wind becomes optically thin too close its base. The understanding how the WR wind initiate is still an open issue.     

提高固定几何二元进气道低马赫数性能的仿真研究

分别以常规低、高马赫数来流设计的固定几何二元混压式进气道为例,采用数值模拟手段,探究了一种改进的外压缩波系配置方案。采用来流马赫数由低到高,外压缩激波依次封口的设计方法,提高了固定几何二元进气道的低马赫数性能。相比常规配波设计的进气道,来流马赫数2.15条件下的流量系数提高了0.07;来流马赫数2.15和2.4条件下,总压恢复提高近0.015。初步研究证明这种设计理念是合理的,该设计方案有待于进一步发展和实验验证。     

超声电喷推进机理研究

超声电喷推进是一种新型的电推进技术,主要用于解决胶体推力器等电推力器发射点集成困难、发射点数密度低的问题。通过将超声振动产生的大量微细驻波作为发射源,超声电喷推进将从根本上提高发射点的数目和密度,形成较大的推力密度。文章对超声电喷推进的发射机理进行了研究,得到相应的理论发射模型。通过对发射表面上微细驻波的形成过程、带电液滴的分离过程进行理论分析,建立了静电场条件下微细驻波波峰临界状态的平衡方程,推导出微细驻波波峰局部半径以及发射液滴尺寸的理论解,并提出了发射电流、比冲和推力的估算方程。在此基础上,分析了极间电场强度、超声振动频率、超声振动功率、推进剂性能黏度、推进剂表面张力系数和电导率对超声电喷推进性能的影响规律,并进行了试验验证。