数值方程

Considering a spherical porous carbon particle immersed in a static ambient atmosphere, the combustion characteristics under three basic conditions: frozen flow, equilibrium flow, partial flow are solved in a half-analytical and half-numerical way. By using the LAEA (Large Activation Energy Asymptotic Method), the departure value of some parameters such as combustion rate, temperature, and concentration are obtained. On this basis, the rules of a carbon particle combustion under various conditions when the gas phase Damk〓hler number is in the range of 0,+∞ are summarized.

建立氧化性环境中相对静止的多孔炭粒燃烧的控制方程，采用半解析、半数值方法求解出炭粒在冻结流、部分流、平衡流三种基本情况下的燃烧规律，并采用大活化能渐近匹配方法，计算出偏离冻结流、偏离平衡流情况下燃烧速率、温度及组分浓度等参数的偏离解，进而总结出炭粒在气相Damk〓hler数为0，∞整个范围内燃烧特性变化规律。

Based on the equations, a new method for the geometrical design of hypoid gears is presented.

在这组方程的基础上，提出了一种几何设计的新方法，以大轮的节锥角和节圆半径以及小轮的螺旋角这三个参数为自由变量，以准双曲面齿轮副的偏置角为中间变量，用数值求解方法能够非常方便可靠地确定节锥的参数。

Based on the non-classic theory of plasticity, the elastic and plastic constitutive relationship is established for peaelitic colony with finer interlamellar spacing, and the corresponding numerical method is also developed.

基于非经典塑性理论，建立了珠光体团的弹塑性本构方程，发展了相应的数值计算方法。

The coupling system including the vibration of vehicles and bridge structure is set up based on the vehicle-bridge coupling element due to pavement's stochastic irregulation, the motion equation is solved by numerical integration method.

通过基于桥面随机不平顺的车桥耦合单元建立包含车辆振动和结构振动的耦合系统，用数值积分法求解动力学方程。

Considering the state equations available are not applicable to salt-bearing fluid inclusions, the authors have established the density and isochoric formulae for NaCl-H_2O-bearing fluid inclusions (salinity≤25wt%) using the least sqaures method in conjunction with the experimental data.

由于含盐类包裹体不能应用现有的状态方程求解，作者根据实验数值，采用最小二乘法等，得到含盐度≤25的NaCl-H_2O溶液包裹体的密度式和等容式。

Anon-Newtonian thermal elastohydrodynamic lubric ation model is set up to analyze running-in process under heavy load.

建立了非牛顿流体热弹流润滑数学模型，对重载条件下磨合过程进行数值分析，在考虑具有粘塑性本构的非牛顿流体时，采用了高效粘度法对建立的方程进行了解算。

The high frequency combustion instability in liquid rocket engine LRE is analyti cally studied by usin g CFD methods.The comprehensive model and governing equations for numerical simu lation of high frequency combustion instability are presented.The PISO and MacCo rmack algorithms are compared in this study.Both methods can successfully handle combustion instability analysis.

应用CFD方法对液体火箭发动机中的高频燃烧不稳定性进行了分析研究，建立了液体火箭发动机不稳定燃烧数值模拟的综合模型和控制方程，比较了PISO和Ma cCormack两种算法，得出了两种算法均能成功应用于不稳定燃烧分析的结论。

The meridionally accelerated axial-flow fans including meridian acceleration rotor, vaneless diffuser and volute was numerically simulated in the whole flow passage by Reynolds time-averaged N-S equations with tensor and k-ε turbulence model.

采用三维雷诺时均N-S方程和标准k-ε湍流模型，对包含叶轮、无叶扩压器与轴向蜗壳于一体的子午加速风机进行了整机全流道的数值模拟。

Finite Element software MPI is used for the numerical simulation of microcellular foam injection molding process.

以注射矩形薄板制品的聚合物熔体充模流动过程和泡孔长大为研究对象，把微观两相流看成宏观单相流，采用泡孔单元模型并根据流体力学基本方程建立了泡孔长大的数学模型，使用有限元软件MPI对微孔发泡注射成型工艺进行了数值模拟

It is shown that these two sequences converge monotonically to a unique solution of the finite difference system.

给出一类求解具时滞边界条件的时滞反应扩散方程的数值方法，证明了迭代序列的单调收敛性以及差分格式的收敛

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。