Failures of the Burnett and super-Burnett equations in steady state processes

Linearized Burnett and super-Burnett equations are considered for steady state Couette flow. It is shown that the linear super-Burnett equations lead to periodic velocity and temperature curves, i.e. unphysical solutions. The problem is discussed as well for the so-called augmented Burnett equations by Zhong et al. (AIAA Journal 31, 1036-1043 (1993)), and for the recently introduced regularized 13 moment equations (R13) of Struchtrup and Torrilhon (Phys. Fluids 15(9), 2668-2680 (2003) ). It is shown that both theories exhibit proper Knudsen boundary layers for velocity and temperature. However, the heat flux parallel to the wall has different signs for the Burnett and the R13 equations, and a comparison with DSMC results shows that only the R13 equations predict the proper sign.Received: 30 March 2004, Accepted: 22 April 2004, Published online: 22 February 2005PACS: 51.10.-y, 47.45.-n     

Effect of collision‐partner selection schemes on the accuracy and efficiency of the direct simulation Monte Carlo method

The effect of the collision‐partner selection scheme on the accuracy and the efficiency of the Direct Simulation Monte Carlo method is investigated. Several schemes that reduce the mean collision separation, including the fixed sub‐cell scheme, the transient adaptive sub‐cell scheme, and the virtual sub‐cell scheme, are evaluated. Additionally, a new scheme is proposed that limits the population from which collision partners are selected based on the distance traveled by a simulator and performs near‐neighbor collisions using this population. These collision‐partner selection schemes are assessed for Fourier flow (heat conduction between parallel plates) and a standard hypersonic benchmark problem (Mach 15.6 nitrogen flow over a 25–55° biconic). The new limited‐selection near‐neighbor scheme has superior performance compared to the other schemes for both flows and reduces both the spatial and temporal discretization errors relative to random‐selection and nearest‐neighbor collision‐partner selection schemes. Copyright © 2010 John Wiley & Sons, Ltd.     

高压气瓶工艺残余应力测试和分析

用X射线及磁记忆两种方法对压缩天然气的高压气瓶应力状态进行了系统分析,对一个气瓶整体制造工艺中的残余应力变化用X射线法进行了跟踪检测。考察了气瓶锻造后、淬火后及回火后外表面的残余应力状况,对相同测点进行了三次应力测试。为准确找到测点位置并寻求两种方法之间关系,在每次应力测试之前,均用金属磁记忆方法进行了先期检测。结果表明:锻造后应力水平不高,但磁记忆曲线有小幅波动,显示应力不均匀;淬火后表面具有较大压应力,最大达到0.86σS,且磁场亦有较大变化,个别点有明显应力集中;回火处理有效地消除了淬火残余应力,最大值小于0.17σS,应力均匀化,磁记忆曲线几乎无波动,效果良好。而从定量角度,残余应力和磁记忆两者之间没有明确的对应关系。对于磁记忆所显示的磁场强度变化处,用X射线法进行残余应力测试,结果并没有显示出较高的应力水平。说明两种方法不可互相替代,但以其各自的特点和优势可做互相补充。     

光弹性五步彩色相移法分析初应力对等倾角的影响

通过琼斯矩阵推导出一般平面偏振场的受初应力影响的光强等式，选用有边缘效应的直边、斜边和曲边三种常见边界形状的光弹性模型，用五步彩色相移法分析了初应力对等倾角的影响，这对正确评价和执行实验技术都有着积极的作用。     

含热传导的冲击动力学有限元程序的研究与应用

从有限变形的基本框架出发 ,建立了含热传导的冲击动力学基本控制方程和合适的初边条件。应用变分原理和伽辽金方法得出了控制方程相应的有限元列式 ,并探讨了数值计算中的几个关键算法 ,主要包括构型转换、旋转张量的算法、本构算法以及计算流程和程序框图等。利用自行研制的程序 ,对长脉冲激光辐照下靶目标的变形和破坏、冲击压缩变形及变形局部化等问题进行了数值模拟和研究 ,所得结果与实验和理论分析相吻合。     

承压热冲击下RPV承载力影响因素的数值分析

为研究承压热冲击下含缺陷的核反应堆压力容器(RPV)的极限承载力,借助ABAQUS软件建立含表面裂纹的RPV的3D有限元模型.通过热-力耦合分析,分别得到筒体区和喷嘴区的瞬态温度场和应力场.考虑到实际RPV断裂试验工作具有相当大的危险性,使用扩展有限元法(XFEM)对裂纹的扩展情况进行数值模拟.通过对含有不同位置和尺寸裂纹、具有不同壁厚容器的极限承载力分析,得到满足强度条件的各临界裂纹尺寸.结果表明,当表面裂纹距喷嘴口的距离达到一定程度,其长度对RPV结构的极限承载力不构成影响.在喷嘴区,随裂纹距喷嘴口距离的减小,临界裂纹尺寸迅速减小,喷嘴口上仅允许深长比较小的浅表面裂纹出现.     

Influence of the coupling of mechanical and thermal fields on the amplitude-frequency characteristics of a cylinder

A dynamic boundary-value problem of coupled thermoelasticity for a finite cylinder with mixed boundary conditions is solved. The problem is reduced to a system of four singular integral equations solved by the mechanical-quadrature method. A numerical experiment is conducted to obtain amplitude-frequency characteristics for finite cylinders with different cross sections. The effect of thermoelastic coupling on stress distribution is assessed __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 10, pp. 86–95, October 2006.     

初始压力对多孔介质中气体水合物生成的影响

利用自制的一维天然气水合物生成与开采模拟实验系统,实验研究多孔介质中天然气水合物生成时不同初始压力对生成量、生成时间的影响.分别用相同气水比注入、相同注气量不同注水量、相同注水量不同注气量三种方式来控制初始压力.结果表明:在砂粒粒径300μm～500μm,盐水质量浓度2%,系统温度为2℃、初始压力为5MPa～9MPa的条件下进行水合物的等容生成实验时,初始压力越大,生成的水合物量越多,水合物开始生成的时间越早;但初始压力越大,实验系统中水合物生成最终稳定所需的时间越长.本实验系统采用的三种不同的控制初始压力的方式都可以得到上述结果.由此,可以为今后室内进行天然气水合物的生成实验提供科学指导.     

旋叶式压缩机滑槽背压对滑片运动特性影响

分析了新型旋叶式压缩机的结构特点，对滑片进行了受力分析，根据达朗伯原理，建立了力与主轴转角关系的数学模型。通过研究滑槽背压变化对滑片运动状态、运动规律等特性的影响及对三种背压状态的比较，认为恒定滑槽背压更有利于改善滑片的运动特性、提高旋叶式压缩机的工作性能，为旋叶式压缩机优化设计建立了基础。     

润滑油密度与黏度关系的进一步探讨及定量广义牛顿热弹流数值分析

基于"同一油品相同的密度对应相同的黏度"这一假说,本文作者将最近提出的在等温条件下由密度求黏度的计算公式推广到热条件之下并进行了进一步的理论探讨.通过引入广义黏度,把润滑油的Eyring流动处理为广义牛顿流动,进而对由squalane油润滑的点接触副在不同赫兹接触压力和卷吸速度下,在滑滚比宽广的变化范围内开展了定量的热弹流数值仿真.仿真得到的摩擦系数与试验结果良好的吻合程度不但证实了作者的由密度求黏度公式在热条件下仍然准确,同时也证实了所用的密度与黏度关系假说的合理性.在比较新黏度公式与Barus、Roelands和Doolittle黏度公式所得数值仿真结果时,提出了一种不需要黏温系数而得到热条件下润滑油黏度值的算法,并用之得到了合理的广义牛顿热弹流解.