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.     

Experimental investigation on aero-heating of rudder shaft within laminar/turbulent hypersonic boundary layers

The aero-heating of the rudder shaft region of a hypersonic vehicle is very harsh, as the peak heat flux in this region can be even higher than that at the stagnation point. Therefore, studying the aero-heating of the rudder shaft is of great significance for designing the thermal protection system of the hypersonic vehicle. In the wind tunnel test of the aero-heating effect, we find that with the increase of the angle of attack of the lifting body model, the increasement of the heat flux of the rudder shaft is larger under laminar flow conditions than that under turbulent flow conditions. To understand this, we design a wind tunnel experiment to study the effect of laminar/turbulent hypersonic boundary layers on the heat flux of the rudder shaft under the same wind tunnel freestream conditions. The experiment is carried out in the ?2 m shock tunnel(FD-14 A) affiliated to the China Aerodynamics Research and Development Center(CARDC). The laminar boundary layer on the model is triggered to a turbulent one by using vortex generators, which are 2 mm-high diamonds. The aero-heating of the rudder shaft(with the rudder) and the protuberance(without the rudder) are studied in both hypersonic laminar and turbulent boundary layers under the same freestream condition. The nominal Mach numbers are 10 and 12, and the unit Reynolds numbers are2.4 × 10~6 m~(-1) and 2.1 × 10~6 m-1. The angle of attack of the model is 20°, and the deflection angle of the rudder and the protuberance is 10°. The heat flux on the model surface is measured by thin film heat flux sensors, and the heat flux distribution along the center line of the lifting body model suggests that forced transition is achieved in the upstream of the rudder. The test results of the rudder shaft and the protuberance show that the heat flux of the rudder shaft is lower in the turbulent flow than that in the laminar flow, but the heat flux of the protuberance is the other way around,i.e., lower in the laminar flow than in the turbulent flow. The wind tunnel test results is also validated by numerical simulations. Our analysis suggests that this phenomenon is due to the difference of boundary layer velocities caused by different thickness of boundary layer between laminar and turbulent flows, as well as the restricted flow within the rudder gap. When the turbulent boundary layer is more than three times thicker than that of the laminar boundary layer, the heat flux of the rudder shaft under the laminar flow condition is higher than that under the turbulent flow condition. Discovery of this phenomenon has great importance for guiding the design of the thermal protection system for the rudder shaft of hypersonic vehicles.     

动力学环境质量载荷效应的统计能量分析与试验研究

对质量载荷在冲击、振动及噪声等动力学环境上的影响作了统计能量分析（ＳＥＡ）与试验研究。分析与试验结果是满意的，其结论对工程系统动力学环境预示、评估和制定试验条件有重要意义。     

壁温比对圆截面隔离段激波串的影响研究

为明晰壁温比对圆截面隔离段激波串的影响,采用RANS方法对圆截面隔离段进行三维数值计算,发现冷壁条件下,壁温比升高将导致隔离段抗反压能力减弱。在此基础上,通过理论分析研究了壁温比对边界层的影响,发现边界层主要通过剪切应力和亚声速流层携带的流体惯性的综合作用来抵抗反压,其中剪切应力与压升作用一致,而亚声速流层携带的流体惯性与压升作用相反。考虑壁温比影响,对经典Waltrup激波串预测公式进行修正,修正后公式可以动态反映壁温比变化导致的激波串长度改变,有助于隔离段优化设计。     

多孔推进剂装药的动态压缩过程的数值研究

对约束条件下的推进剂多孔床中的动态压缩进行了数值分析。用两组连续混合非平衡流的理论建立了描述动态压缩过程的数学模型。用MacCormack有限差分方法求解了控制方程。以活塞撞击HMX多孔床为例，将数值结果、实验结果以及稳态分析结果进行了比较，证明模型能很好的预测稳态压缩波特性。研究结果有助于弄清高能推进剂的冲击波起爆、燃烧转爆轰的机理。     

用于爆震引燃的激波聚焦无反应流场数值模拟

通过对用于脉冲爆震引燃的内楔表面激波聚焦冷态流场的数值模拟，分析了不同角度内楔表面在激波聚焦时流场结构的不同特点。数值计算的结果表明：对于大内楔角的情况，激波进入内楔角之后产生规则反射，温度的大幅度升高发生在激波于内楔顶点反射之后；对于小内楔角的情况，激波进入内楔角之后产生马赫反射，温度的升高在入射激波到达内楔顶点之前就已经发生，而在入射激波于内楔顶点反射之后得到进一步的提升。同时，还对不同角度内楔的反射激波后气流温度进行了比较。     

二元进气道非均匀超音来流试验研究

介绍一种二元进气道模型在非均匀超音来流中的初步研究结果。试验在DLR小型超音风洞上进行。为造成非均匀来流条件,试验中将部分或全部试验段顶壁附面层引入进气道模型。结果表明,进气斜板产生的头激波与来流附面层相互作用的性状在不同的附面层隔道下变化极大。随隔道高度增加,激波附面层相互作用距离L起初亦增加,当全部附面层被排移后,L大幅度下降。与均匀来流试验结果相比较,当来流顶壁附面层全部被进气道吞入时,该进气道总压恢复σ及质量流率m分别降低18％及15％(M_∞=2.19),同时出口面总压畸变大幅度增加。文章分析了原因及对进气道性能影响的强度。     

激光推进中飞行器结构响应对聚焦性能的影响

利用ABAQUS软件对激光推进飞行器进行了单、多脉冲结构冲击响应的数值模拟;建立了变形抛物面焦点区域的数值计算方法,计算出结构变形后的焦点区域的变化程度:发现因结构变形引起的聚焦区域的变化不可忽视,是飞行器设计时必须考虑的因素。     

聚心火焰与诱导激波相互作用及爆燃转爆轰过程

基于带化学反应的二维轴对称Eu ler方程,利用带限制函数的波传播算法,在两端均敞开和一端封闭一端敞开的两种边界情况下,对圆柱型燃烧室中的氢气-空气预混气的聚心燃烧进行了数值模拟,探讨了聚心火焰引发爆轰过程中的波系结构以及火焰的变形。数值结果表明,在两端均敞开的情况下,燃烧诱导的激波在轴心、火焰和壁面之间来回反射,使火焰失稳,加速了火焰的燃烧,但没有转变成爆轰。而在一端封闭的情况下,封闭端反射产生的激波,不断穿越火焰,使火焰严重失稳,加剧了燃烧速度,最终导致爆轰的形成。稳定爆轰阵面的参数与CJ理论计算的结果进行了对比,两者符合的较好。同时,火焰在与激波的作用过程中,形状扭曲变形,对于两端敞开的情况呈对称的扁平头部蘑菇云,而对于一端封闭的情况,则呈封闭端小敞口端大的扁平头部蘑菇云。     

具有操纵面间隙非线性二维翼段的气动弹性分析

 基于Theodorsen 理论和Wagner 函数,提出了不可压缩流作用下三自由度二维翼段任意运动非定常气动力表达式。对操纵面自由度具有的间隙非线性,建立了二维翼段气动弹性系统无量纲分段线性运动方程。数值仿真预示了系统极限环振动的相轨迹、无量纲振动幅值和频率,表明操纵面铰链处存在的间隙非线性将导致整个系统的极限环振动;随着来流速度的增加,系统极限环振动的幅值和频率都存在跳跃现象。