Electromagnetic interactions in a cluster of cylinders

We present a rigorous multiple-scattering method to calculate the interaction energies due to electromagnetic field fluctuations in a cluster of parallel cylinders. Various kinds of cluster structure with both isotropic and anisotropic materials are considered. It is shown that Casimir interactions are sensitive to the positions of the cylinders in the cluster or the structure of the system. The sign of the interaction energy cannot only be changed by tuning the parameters of anisotropic materials, it can also be caused by changing the cylinders configuration of the system.     

Numerical solution of an extended White–Metzner model for eccentric Taylor–Couette flow

In this study, we have developed a new numerical approach to solve differential-type viscoelastic fluid models for a commonly used benchmark problem, namely, the steady Taylor—Couette flow between eccentric cylinders. The proposed numerical approach is special in that the nonlinear system of discretized algebraic flow equations is solved iteratively using a Newton–Krylov method along with an inverse-based incomplete lower-upper preconditioner. The numerical approach has been validated by solving the benchmark problem for the upper-convected Maxwell model at a large Deborah number. Excellent agreement with the numerical data reported in the literature has been found. In addition, a parameter study was performed for an extended White–Metzner model. A large eccentricity ratio was chosen for the cylinder system in order to allow flow recirculation to occur. We detected several interesting phenomena caused by the large eccentricity ratio of the cylinder system and by the viscoelastic nature of the fluid. Encouraged by the results of this study, we intend to investigate other polymeric fluids having a more complex microstructure in an eccentric annular flow field.     

电源频率可调的单相旋转磁场实验仪

设计了电源频率可调的单相交流电产生的旋转磁场实验仪,应用该仪器可测量电感、损耗电阻、转速等     

矢量分析在反射和折射中的应用

利用反射定律和折射定律的矢量公式计算出平面转镜和道威棱镜的转像规律.     

空间两维指向摆镜的成象分析

本文分析了航天摄影相机的指向摆镜统二轴摆动时的成家关系,讨论了摆镜引起的象倾斜及象倾斜角与摆镜摆角的关系,并论述了象倾斜的校正方法;本文还讨论了摆镜对地面的扫描轨迹和覆盖范围.     

激光扫平仪的误差分析与智能检测

分析了激光扫平仪的误差组成及其在等效长焦距检测系统中的三角函数表达式,介绍了检测方法,并给出了实测结果。介绍的等效长焦距智能检测系统不仅能满足不同的精度要求,而且能显著提高检测速度与效率。理论分析和实测结果表明,该仪器的角度测量不确定度优于±2″,角度分辨率优于1″。     

旋转光楔多重全息术

本文提出一种新颖的多重全息术,它是利用旋转光楔调制平面参考波的传播方向,实现编码参考光记录获得多重全息图.该全息图经球面波再现,获得位于同一平面内的再现多重象.文中给出了这种方法的理论分析和实验结果,两者是吻合的.     

Asymptotic analysis of interactions between highly conducting cylinders

We consider the conduction of heat or electricity between a pair of equal, touching cylinders embedded in a matrix. We solve exactly a problem in which each cylinder contains a heat source, and analyse the solution asymptotically for the case in which the conductivity of the fibres is much greater than that of the matrix. Using this analysis, we assess the accuracy of approximate schemes for calculating the interactions between the fibres of a composite material. We conclude that the approximate solutions are better at predicting global quantities, such as total flux, than they are at predicting pointwise quantities such as the temperature field.     

关于刚体转动惯量测定的计时方法研究

本文给出了在刚体转动惯量的测定中测定时间的计时装置，减小了计量时间所带来的误差。     

Effect of nonlinear electrodynamics on shadows of slowly rotating black holes

In this study, we investigate the effect of nonlinear electrodynamics on the shadows of charged, slowly rotating black holes with the presence of a cosmological constant. Rather than the null geodesic of the background black hole spacetime, the trajectory of a photon, as a perturbation of the nonlinear electrodynamic field, is governed by an effective metric. The latter can be derived by analyzing the propagation of a discontinuity of the electromagnetic waveform. Subsequently, the image of the black hole and its shadow can be evaluated using the backward ray-tracing technique. We explore the properties of the resultant black hole shadows of two different scenarios of nonlinear electrodynamics, namely, the logarithmic and exponential forms. In particular, the effects of nonlinear electrodynamics on the optical image are investigated, as well as the image's dependence on other metric parameters, such as the black hole spin and charge. The resulting black hole image and shadow display rich features that potentially lead to observational implications.