Physical implication of two problems in transition prediction of boundary layers based on linear stability theory

Up to now,the most widely used method for transition prediction is the one based on linear stability theory.When it is applied to three-dimensional boundary layers,one has to choose the direction,or path,along which the growth rate of the disturbance is to be integrated.The direction given by using saddle point method in the theory of complex variable function is seen as mathematically most reasonable.However,unlike the saddle point method applied to water waves,here its physical meaning is not so obvious,as the frequency and wave number may be complex.And on some occasions,in advancing the integration of the growth rate of the disturbance,up to a certain location,one may not be able to continue the integration,because the condition for specifying the direction set by the saddle point method can no longer be satisfied on the basis of continuously varying wave number.In this paper,these two problems are discussed,and suggestions for how to do transition prediction under the latter condition are provided.     

Computation on pipe dynamic response induced by deflagration of H_2 and air mixture

Computation is devoted to evaluating structural safety of a heat exchanger inside a reactor whose geometry can be simplified as outer and inner pipes as well as a chamber. This paper has numerically studied deflagration of hydrogen air mixture and pipe dynamic responses. The Navier-Stokes equations coupled with multi-species mass equation are solved by TVD scheme to get flow-field solution based on MPI and multi-block methods. Combustion is described by a 11-species and 23-step reaction model. The source te...     

锌电极放电过程及失效机制数值分析

锌-空气电池是一种高能量的电池体系.实验表明, 在大功率工作条件下, 锌电极的材料利用率随电流密度的增加而急剧下降. 为探索其在大功率工作条件下的放电机理, 本文针对这一过程建立了一维数学模型, 通过数值求解模拟多个物理量如离子浓度、传递电流密度、电极孔隙度、固体氧化锌等在电极内部的分布变化情况, 在此基础上分析电极的性能. 数值结果分析表明, 固体氧化锌对电极内质量传输过程的限制是导致电极失效的根本原因. 其析出时间及在电极内部的集中分布位置对电极性能有显著影响; 而仅当其体积分数超过30%-35%的范围后才开始显著限制传质过程. 讨论了电极的优化措施, 模拟表明更高的溶液电导率,更大的电极孔隙度有利于增加大功率工作条件下电极的材料利用率. 但最重要的是保持电极内部氢氧根离子的浓度在一个较高的值,对于封闭式电极可以通过补液实现, 理想情况为设计一个电解液循环式的锌电极.     

Determination of variable atom parameters in ionic crystals by electrostatic calculations

An electrostatic method to determine variable atom parameters in ionic crystals with experimentally determined unit cell parameters and space group is proposed. The atom parameters are usually chosen to give the maximum Madelung constant. However, when these atom parameters generate interatomic distances at least one of which is less than a critical distance, which comes from repulsion between atoms, the atom parameters corresponding to that distance are assigned. Applicability was examined for three cases: TiO₂ (rutile), UCl₃, and β-Rb₂GeF₆. Agreement between the atom parameters of this method and of literature was good. Some discussion is presented on the basis of this method. In ionic crystals, the atoms with variable parameters are set first using the geometrical arrangement which is the most stable in an electrostatic sense, and then “real” distances are fixed under the interaction of repulsive forces.     

点火准则和稀释气体对乙烯点火延时的影响

利用矩形截面激波管研究点火准则和稀释气体对乙烯点火延时的影响。采用压电传感器记录测点压力时间历程,采用光谱仪和光电倍增管记录自发光强时间历程,以压力、总自发光强与·OH和·CH自由基特定能级发射光强等信号判定是否发生自点火,给出自点火过程的时间起始点和终止点,得到了不同点火准则和稀释气体对应的乙烯/氧气/氮气和乙烯/氧气/氩气点火延时。结果表明:相同工况的乙烯点火延时测量数据相对误差约为15%,数据验证了本文实验和测量方法可靠性。针对当量比为1.0、压力为0.2 MPa,得到了温度范围为905～1 489 K,稀释气体的摩尔分数为75%氮气和75%氩气时的乙烯点火延时,给出点火延时和温度拟合的Arrhenius型表达式。不同点火准则会影响所测点火延时数据,但多次测量结果确定的点火延时和温度变化规律近似相同。不同稀释气体对激波管自点火流场的影响表现为和流场均匀性以及混合物比热相关。相同工况的乙烯/氧气/氮气点火延时大于乙烯/氧气/氩气点火延时。高温区和低温区的乙烯/氧气/氩气点火延时与温度的拟合关系不同,转折温度约为1 121 K。     

基于斜向背散射偏振拉曼光谱的{100}c-Si面内应力分析

复杂应力状态下应力分量的解耦分析对半导体的设计和制造具有重要意义。本文开展了方法学研究,首先建立了{100}晶面族单晶硅面内应力分量解耦分析模型,基于该模型,通过改变入射光和散射光的几何构型和偏振构型,可得到单晶硅拉曼频移与应力分量的解析关系。在此基础上,提出了一种利用斜向背散射偏振拉曼光谱在不同倾角、偏振方向和样品旋转角度下开展原位拉曼探测实现应力分量解耦分析的实用技术。本文通过实验验证了该方法的可靠性和适用性。     

Research on detection method of multi-frequency weak signal based on stochastic resonance and chaos characteristics of Duffing system

Weak signal detection has been widely used in many fields such as military and national economy. Aiming at the problem that the traditional stochastic resonance (SR) method can’t obtain the signal amplitude when detecting weak signals, the frequency and amplitude of the weak signal are obtained by combining the SR and chaos characteristics of the two-dimensional Duffing system. Firstly, the effects of two-dimensional Duffing system parameters a, b, k, noise intensity D on the Kramers rate and signal-to-noise ratio (SNR) are analyzed under the Gaussian white noise environment. The results show that the damping ratio K can hinder the SR effect of the system to some extent. Secondly, to solve the misjudgment of the state method of the weak signal amplitude in the detection, the Lyapunov exponent is used to assure the threshold's range, and the threshold of the chaotic critical state is found. Finally, the paper gives the processes of frequency and amplitude detection of multiple high-frequency signals, which realizes the effective detection of the frequency and amplitude of multiple high-frequency signals in a Gaussian white noise environment, and successfully applies the method to the accurate detection of boundary voltage amplitude in electrical impedance tomography.     

浮筏的主动吸振控制实验研究

浮筏在低频减振方面存在较大不足,而这恰是主动减振的优势.将两者相结合,研究了浮筏的主动吸振控制问题.研制了一种主动吸振器,建立了以DSP F2812为核心的控制系统;提出了符号LMS算法,与广泛使用的滤波x-LMS等算法相比,该算法不需要精确的模型信息;在此基础上设计了自适应前馈主动吸振控制律,并在浮筏实验平台上进行主动吸振控制实验.实验结果表明,通过主动吸振控制,浮筏的低频减振能力得到了显著的改善.