Transient free convection of non-Newtonian fluids along a wavy vertical plate including the magnetic field effect

A Prandtl transformation method is applied to study the transient free convection of non-Newtonian fluids along a wavy vertical plate in the presence of a magnetic field. A simple transformation is proposed to transform the governing equations into the boundary-layer equations and solved numerically by the cubic spline approximation. A simple coordinate transformation is employed to transform the complex wavy surface to a vertical flat plate for a constant wall temperature by the numerical method. The effects of the magnetic field parameter, the wavy geometry and the non-Newtonian nature of the fluids on the flow characteristics and heat transfer are discussed in detail.     

Geometric properties of two phase flow in geothermal reservoirs

The two phase flow equations frequently used in geothermal engineering ignore capillary pressure, which results in a singular system of equations. Analysis of these equations reveals three mechanisms for altering saturation: local boiling, the spatial dependence of flowing enthalpy due to the convective transport of fluid, and counterflow. A scalar function is associated with each of these three mechanims. At each point in space, flows are essentially two dimensional, with gravity establishing a vertical hierarchy, in that volumetric, energy and mass fluxes can never point below a lower member in this triple. With increasing liquid saturation, the characteristics associated with the saturation equation move up from below this grouping of directions, and eventually may even point above volumetric fluxes. Finally, weak shocks and the associated entropy condition are considered. The characteristics of the saturation equation coincide with the velocity of extremely weak shocks, and saturation increases with the passage of a weak shock, provided the magnitude of the characteristic speed increases with saturation.Notation C_l liquid heat capacity - C_m rock heat capacity - C_v vapour heat capacity - G counterflow energy flux - h flowing enthalpy - hl liquid enthalpy - h_v vapour enthalpy - k permeability - k downward vector - P pressure - S liquid saturation - T temperature - dT/dP derivative at saturation - z vertical coordinate - l liquid viscosity - v vapour viscosity - Pl liquid density - _m rock density - _v vapour density - porosity     

西安地铁二号线沿线地裂缝未来位错量估算及工程分级

地裂缝在地铁设计使用期内的最大垂直位错量是西安地铁二号线穿越地裂缝结构设计的一个十分重要的参数。本文以历史水准监测资料为基础,分析了西安地铁二号线沿线各地裂缝在不同历史阶段的活动特征与活动原因,对各地裂缝的未来活动趋势进行了预测。然后通过基于不同时间段地裂缝活动速率的最大垂直位错量估算结果的对比分析,得出了地铁设计使用期内各条地裂缝与地铁交汇点处地裂缝的最大垂直位错量,并以此为依据,将西安地铁二号线沿线地裂缝分为Ⅰ、Ⅱ、Ⅲ和Ⅳ级等4个工程级别。     

Regimes of vortex shedding from an in-line oscillating circular cylinder in the uniform flow

A finite volume method for the time dependent viscous incompressible flow around an in-line oscillating circular cylinder at Reynolds number of 200, 855 is presented in this paper. The Navier-Stokes equations in a finite volume form are solved with a moving grid system, based on a time dependent coordinate transformation. To investigate the vortex-shedding characteristics behind the circular cylinder and the effects of Reynolds number and other non-dimensional parameters such as reduced amplitude and reduced frequency， several numerical schemes have been tested with different amplitude and frequency close to Sto and a harmonic at each Reynolds number. Present numerical results indicate several types of vortex shedding mode which is known mainly depending on the reduced frequency and also the reduced amplitude, which is called synchronization or lock-on.     

Thermal Convection in a Plane Layer Rotating About a Horizontal Axis

The thermal convection of a fluid in a plane vertical layer with a cylindrical lateral boundary, which rotates uniformly about a horizontal symmetry axis, is investigated experimentally. The structure and excitation limit of the convective flows are studied as functions of the rotation frequency, the temperature difference between the layer boundaries, and the layer thickness. The determining dimensionless parameters are found. It is shown that the period-average gravity action produces convection in the form of hexagonally distributed cells stationary in the reference system tied to the cavity.     

电光调制对外部光注入垂直腔表面发射激光器的偏振转换及其非线性动力学行为的操控性研究

针对主和副垂直腔表面发射激光器构成的外部注入激光器系统的偏振转换及其非线性动力学行为, 利用周期性极化铌酸锂晶体中准相位匹配线性电光调制, 本文提出了一种新的操控方案并且探索了其控制规律. 研究结果发现, 受到平行光注入或正交光注入的副激光器输出偏振度随外加电场成周期性振荡变化, 其振荡波峰轨迹包络曲线为正弦曲线, 而振荡波谷轨迹包络曲线为余弦曲线; 选取一定的主激光器偏置电流, 通过对来自主激光器的光进行电光调制, 受到两种方式注入的副激光器可以输出任意偏振模, 并且其非线性动力行为经历不同的演变. 另外, 副激光器的偏振度仅依赖于外加电场, 与副激光器的偏置电流无关.     

基于滑模趋近律的防空导弹垂直发射姿态控制研究

利用四元数在弹体坐标系下对垂直发射的防空导弹建立了运动方程,并在纵向通道利用小扰动线性化状态空间模型,设计了基于滑模趋近律的姿态控制律,最后建立了Simulink六自由度弹道模型并进行了数字仿真,结果表明：基于四元数的运动方程形式运行有效,基于滑模趋近律的姿态控制律可实现对防空导弹垂直发射的有效控制。     

多横模垂直腔面发射激光器及其波长特性

基于氧化限制型内腔接触垂直腔面发射激光器(VCSEL) 结构设计, 研究了VCSEL的多横模分布及其模式波长分裂特性与氧化孔径尺寸、形状的关系. 在实验基础上, 通过建立有效折射率模型, 并利用标量亥姆霍兹方程的迭代算法理论, 分别对椭圆形氧化孔径和圆形氧化孔径VCSEL的横向模式特性进行模拟研究, 计算得到不同形状孔径的多横模光场分布情况, 同时测量得到高阶横模多频输出光谱. 研究发现, 椭圆氧化孔形状不仅影响横模分布特性, 还会导致每个模式的波长产生分裂, 分裂值可达0.037 nm. 同时, 随着氧化孔径的增大, 波长分裂影响会逐渐减小, 直至趋近于圆形氧化孔径的分布特性. 研究结果为进一步实现氧化限制型VCSEL的多横模锁定提供了有益参考和借鉴.     

Surface tensor estimation from linear sections

From Crofton's formula for Minkowski tensors we derive stereological estimators of translation invariant surface tensors of convex bodies in the n‐dimensional Euclidean space. The estimators are based on one‐dimensional linear sections. In a design based setting we suggest three types of estimators. These are based on isotropic uniform random lines, vertical sections, and non‐isotropic random lines, respectively. Further, we derive estimators of the specific surface tensors associated with a stationary process of convex particles in the model based setting.