A linear stability analysis of large-Prandtl-number thermocapillary liquid bridges

A linear stability analysis is applied to determine the onset of oscillatory thermocapillary convection in cylindrical liquid bridges of large Prandtl numbers (4  Pr  50). We focus on the relationships between the critical Reynolds number Re_c, the azimuthal wave number m, the aspect ratio Γ and the Prandtl number Pr. A detailed Re_c–Pr stability diagram is given for liquid bridges with various Γ. In the region of Pr > 1, which has been less studied previously and where Re_c has been usually believed to decrease with the increase of Pr, we found Re_c exhibits an early increase for liquid bridges with Γ around one. From the computed surface temperature gradient, it is concluded that the boundary layers developed at both solid ends of liquid bridges strengthen the stability of basic axisymmetric thermocapillary convection at large Prandtl number, and that the stability property of the basic flow is determined by the “effective” part of liquid bridge.     

太阳高能电子束通过空间振荡轴向场产生的电磁不稳定性

本文基于太阳高能电子和日冕区开放场及行星际磁场特征，建立了相对论电子束与伴有空间变化（空间周期变化）的轴向场相互作用模型，用数值方法研究了该体系产生的电磁不稳定性，结果指出只有当太阳高能电子束速度和空间振荡场波数大到一定程度时，该体系才可激发在旋电磁模不稳定性，当太阳高能电子束逐一通过日冕和行星际空间时，激发具有波频向低频漂移特征的电磁波．     

等离子体彗尾动力学的数值研究

本文基于可压缩磁流体动力学模型,数值研究了尾瓣巾具有超Alfven速流动的等离子体彗尾的动力学特征。结果表明,等离子体片和尾瓣之间的剪切等离子体流动将会激发流动撕裂模不稳定性,引起彗尾等离子体片中发生磁场重联,形成磁岛和高密度的等离子体团。进而模拟了太阳风引起的局部驱动力对等离子体彗尾中磁场重联的影响,其特征时间远大于流动撕裂模。我们认为一些观测到的等离子体彗尾中的四块和彗尾截断事件可能主要与彗尾中剪切等离子体流动所引起的流动撕裂模不稳定性有关。     

Hydrothermal instability of thermocapillary convection in large-Prandtl-number liquid bridges under microgravity

Linear stability analysis was performed to study the mechanism of transition of thermocapillary convection in liquid bridges with liquid volume ratios ranging from 0.4 to 1.2, aspect ratio of 0.75 and Prandtl number of 100. 2-D governing equations were solved to obtain the steady axi-symmetric basic flow and temperature distributions. 3-D perturbation equations were discretized at the collocation grid points using the Chebyshev-collocation method. Eigenvalues and eigenfunctions were obtained by using the Q–R method.The predicted critical Marangoni numbers and critical frequencies were compared with data from space experiments. The disturbance of the temperature distribution on the free surface causes the onset of oscillatory convection. It is shown that the origin of instability is related to the hydrothermal origin for convections in large-Prandtl-number liquid bridges.     

Shimmy analysis of a simple aircraft nose landing gear model using different mathematical methods

Shimmy oscillations are still a problem in design and operation of aircraft landing gears, and accurate and appropriate analysis is required to master the task. Based on a nonlinear model of the mechanics of the landing gear and tire elasticity according to elastic string theory, some well known linear and nonlinear mathematical methods are applied to the shimmy analysis of a simple model of a nose gear: Computing eigenvalues, solving analytically the stability boundaries with a parameter space method, getting limit cycles by analytical formulae from describing functions, and last but not least numerical simulation of time histories. It seems that linear or quasi linear methods and analytical solutions are well suited to obtain extensive insight, respecting limitations of these methods. Numerical simulation on the other hand is a valuable tool for pointing out specific effects of a nonlinear system in large amplitude regions.     

无碰撞电流片哨声波不稳定性

通过数值求解文献[4]中物理模型A得到的一般形式的色散关系,讨论了无碰撞电流片低频波不稳定性问题.结果表明,哨声波能被无碰撞电流片直接激发.在中性片上(z/d_i=0),在较宽的波数范围内,斜哨声波是可以传播的,但它基本上是稳定的.在离子惯性区内(z/d_i<1,电子惯性区外),斜传播的哨声波是不稳定的.在离子惯性区边缘(z/d_i=1),斜传播的哨声波仍然是不稳定的,增长率更大,不稳定的波频率范围更高.此外,朝向中性片方向传播(k_zd_i<0)的哨声波比离开中性片方向传播(k_zd_i>0)的哨声波有更大的增长率.     

封闭水域内固体火箭发动机尾流结构数值研究

为了研究固体火箭发动机在封闭水域中工作时尾流场特性参数变化规律,建立三维空间模型,忽略重浮力等体积力及燃气与水之间的换热传质,采用Realizable k-ε湍流模型与VOF(Volume of fluid)多相流模型,针对试验水箱内固体发动机在不同水深条件下的工作过程进行数值模拟,获得尾流流场燃气射流形貌,以及水箱壁...     

惯性非对称转子系统动力特性及安全设计策略

本文旨在分析惯性非对称转子结构的动力特性,主要包含多频特性、稳定性,并针对转子的失稳提出相应的安全设计策略.建立惯性非对称转子模型及其动力学方程,通过Hill无穷行列式建立非对称转子模态特性分析方法,分析惯性非对称转子系统的模态频率、稳定性;计算减速过程中转子的响应特性,进行试验验证并提出惯性非对称转子系统的安全性设计...     

抑制UKF发散的改进算法在卫星轨道确定中的应用

为避免实际应用中一般无迹Kalman滤波（UKF）算法的不稳定性,基于对传统线性Kalman框架的UKF算法造成滤波发散现象的阐述,讨论了无迹转换（uT）的基本原理开口UKF算法,并给出了造成滤波发散的原因,提出了两种抑制滤波发散的改进UKF算法。仿真分析了某星载GPS低轨卫星轨道发散的主因,结果表明改进算法有效。     

Strong interactions of incident shock wave with boundary layer along compression corner

The coherent structure and instability of the interaction of incident shock wave with boundary layer developing on a compression corner are experimentally studied. The experiments are carried out in a supersonic wind tunnel of Mach number 2. Particular attention is paid to shock patterns and unsteady shock motions induced by the separation bubble. The high-speed schlieren is used to visualize the flowfield evolution and to characterize the instability. The snapshot proper orthogonal decompositio...