The unsteady flow and heat transfer in pressure wave refrigerator is investigated numerically in the present paper. The Godunov scheme and control volume method are used to solve the 1D Euler integral equations and heat transfer equation respectively.
建立了振荡管内非定常流动与传热的数学模型，分别采用Godunov格式和控制容积法对气动方程及传热方程进行离散，得到了管内压力波形、气流速度及温度随时间的变化历程。
In the first part of this paper we consider the partial differential equa-tion as a generalized Euler-Poisson equation:?
本文的第二部分研究了空间含奇面方程？
It is feasible that using the model established by Newton-Euler equation as the basis of the design of driving moment control.
图1 3-RSR 3自由度并联机器人3-RSR并联机器人的典型机构如图1所示。3个驱动连杆通过旋转副轴线S1
Traffic momentum differential equation and Euler's equation are constructed by means of differential calculus.
通过对交通流参数的微分分析，建立了交通流的运动微分方程和欧拉方程。
The equilibrium equations under local coordinate are obtained through Euler angle transformation. In the modeling of warp, otter door is treated as the end node. The equilibrium equation of otter door is established through d'Alembert's principle. It provides the end boundary condition of the dynamic model of warp.
通过欧拉角的转换关系获得了曳纲微元段矢量动力平衡方程在曳纲局部坐标系下的方程组形式；在建模过程中，将网板视为曳纲的尾部节点，根据达朗伯原理建立了网板的平衡方程，并将其作为曳纲模型的尾部边界条件。
The relative viscosity hypothesis is put forward andintroduced in Euler's equation to establish viscosity momentum differential equation.
3建立了适应ITS的交通流参数之间的关系。
In this paper, based on the two-dimensional tidal current field, the sediment diffusion equation and Euler-Lagrange particle drift method are used to simulate the sed- iment diffusion and siltation during the spoil disposal, and the Selection and designation of dumping area s off the Changjiang River estuary deepwater channel entrance are stud- ied from the viewpoint of hydrodynamic force.
在二维潮流场基础上，采用泥沙扩散方程和欧拉—拉格郎日质点漂移法对抛泥时泥沙的扩散和淤积进行模拟，从水动力条件角度对航道两侧的倾倒区选划进行研究，分析不同时段和不同倾倒区的淤积率、流失率和容量。
On the base of testing, we use the method of equi- Renolds number, E. E. Wilson to calculate and analyze the thermal performance and pressure drop characteristics of BR0.45PHE. Gain the equation of Nusselt rule and Euler rule, confirm the relation of velocity of flow and heat transfer coefficient, velocity of flow and flow pressure drop. Finally make error analysis to the testing result and testing system.
在试验的基础上，运用等雷诺数法、威尔逊法等计算方法对BR0.45板型的板式换热器进行了热工性能与阻力特性的计算与分析，拟合出了努谢尔准则与欧拉准则方程，确定了流速与总传热系数之间、流速与流动阻力之间的关系，并对测试结果和测试系统进行了误差分析。
It contains Euler equations for conservation of mass, momentum and energy, and Poisson equation through which the gravitational potential is determined by the density distribution of the gas itself.
它包括由质量守恒方程、动量守恒方程和能量守恒方程构成的Euler方程组以及由星体本身的密度分布决定的自引力势能所满足的Poisson方程。
two-dimensional Euler equation, combustion model and loss calculation methods were used to establish the numerical simulation model of engine.
整机二维仿真模型由带有粘性项的二维欧拉方程，燃烧模型和损失模型构成。
In order to control the gas trouble hidden in the goaf of the fully mechanized caving face with large mining height of WEI Hu-liang Coal Mine in Xinjiang, a mining work-face model with a scale ratio of 1:100 was founded in our lab on Geometry Similitude Rule. The wind volume and the flow pressure between two laneway heads, which were the key factors in test, were designed according as the Euler Similar Equation of Flow Similar Theory. And the highly pure nitrogen was used as index quantity to demonstrate the locomotion of gas inside the gob while the work-face marching.
为了治理新疆苇湖梁煤矿急倾斜大段高综放工作面采空区的瓦斯隐患，在实验室依据几何相似准则，按1：100比例制作了采场模型，并依据流动相似理论的欧拉相似准数来确定采空区回采工作面风量及工作面两端压差，实验中以高纯氮气作为指标性气体来模拟采空区的瓦斯随工作面变化的情况。
In both forecast and simulation issues, a differential equation is generally discretized by using a difference scheme, such as the leapfrog scheme, the Euler scheme, and the Lax-Wendroff scheme with 2 or 3-time levels, and then the difference equation is solved numerically if the initial condition is given.
在提为微分方程初值问题的预报研究中，通常将微分方程化为差分方程，然后构造差分格式进行数值求解。常用的差分格式如欧拉法、蛙跃格式、Lax-wendroff格式等，这些格式中或涉及两个时间层次或三个时间层次。
According to Newton`s three laws of motion (notice: Do not use Euler equation and Navier-Stokes equation of fluid mechanics), we need a centripetal force to drive the electrons, protons and ions move circularly.
根据牛顿的三个运动定律（注意：不要用流体力学中的Euler 方程和Navier-Stokes方程），我们需要一个向心力来驱使电子，质子和离子作圆周运动。
Part Ⅳ: discuss Lagrange—Euler method of Uicker, Newton—Euler equation of Luh, Recursive—Lagrange equation of Hollerbach to establish dynamic equation tor robot manipulators, and gives the simplified form of dynamic equation.
这种测量法分三组实验进行：1。让机器人操作器各关节保持静止的方法测量操作器动力学方程中重力项中常数系数和库伦摩擦力矩。特别是对库伦摩擦力矩，采用最小二乘法拟合平均值，使测量的库伦摩擦力矩值具有实用性。2。
In the paper, the wave ray path formula is obtained by the Euler equation in the continuous stratified medium.
本文根据欧拉方程对于连续性层状介质进行了方程推导，得出一个波传播的射线路径公式，利用路径公式导出了VSP资料处理中的速度反演公式。
Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array, a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the Euler's theorem and the coordinate transform is introduced.
由于猎雷艇作为动基座的存在和声纳基阵的框架结构特点，提出了以艇体坐标系为运动坐标系，运用变形的欧拉定理和坐标变换建立声纳基阵相对自身坐标系的旋转运动方程的建模思想；将所建立的矢量形式的动力学模型展开整理，获得了状态矩阵形式的猎雷声纳基阵动力学方程，为系统动力学模型的实用化奠定了基础。
At the same time, the equation of Euler angle is deduced visually between movable coordinates and absolute coordinates of machine tool.
同时，利用几何方法，很直观的推导出机床动坐标系与绝对坐标系之间的欧拉角求解方程。
The classic difference scheme of Euler is employed to solve the forward problem, and the truncated singular value decomposition is used to solve the ill-conditioned system of algebraic equation.
用古典欧拉差分格式求解正问题，用截断奇异值分解法求解病态方程组。
Euler Equation Based on Alternating Series Number Pattern of Binomial Coefficient and Arrangement Number
基于二项式系数与排列数的交错级数型欧拉方程
Using penalty function in the object function instead of final constraint condition, with Euler equation and Lagrange multiplier method, the condition for the minimization of the value of the object function can be derived.
在目标函数中用罚函数代替终点限制条件，利用拉格朗日乘子法和欧拉方程推导出使目标函数极小化的条件。