查询词典 derived equation

From the functional relationship between the flooding gas and liquid velocities derived from the two-film theory based on the Bernoulli equation,two parameters which are relative to the packing property were investigated.

根据从双膜理论出发由Bernou lli方程得到的液泛气速与液速之间的函数关系，考察了两个与填料有关的模型参数：一个是由填料比表面积a和床层空隙率ε所组成的填料因子a/3ε，另一个是本文定义的填料结构参数。

Proceeding from the viewpoint of two-phase flow,the Bernoulli equation for silt-laden water flow is derived, which reflects real mechanic characteristics of silt-laden water flow.

从两相流动观点出发，推导了含沙水流时的伯努利方程式，使其更能真实地反映含沙水流的力学特性；对含沙水流条件下水轮机的工作参数进行了定义，进而推出其具体计算方法。

In this paper, based on the Bessel function, an Ordinary Differential Equation was derived for time-domain Green function and its gradients in this paper. A new efficient calculation method based on solving ODE is proposed.

在探索求解精度和计算效率的矛盾中，提出了结合求解常微分方程的节点制表、节点间插值的快速计算Gre en函数的方法并据此开发了一套三维深水时域Green函数的数值计算程序。

This paper gives an accurate inversion of matrix of coefficient which is derived fromsolving the boundary-value problem of biharmonic equation in rectangular region by meansof difference method.

将一个n阶电导矩阵实现为具有n+1节点的网络是一很重要的问题，并且引起了广泛的研究，本文扼要地介绍了有关电导矩阵的性质和一些己有的实现方法。

Extending the model to binary compound, an equation of state for double-component phospholipid monolayers was derived.

将上述状态方程推广到二元混合物，导出了双组分磷脂单分子膜的状态方程模型。

After achieving the solution of the mathematical model,a binomial productivity equation of gas-water well with two-phase flow in formation was derived in consideration of the influence of formation damage and non-Darcy effect,thus establishing the theory of transient inflow performance relationship curve of gas-water well.

文章基于质量守恒原理，建立了气水两相地层瞬态渗流的数学模型，通过定义气水两相拟压力函数，将渗流数学模型线性化，在获得数学模型解后，考虑地层损害和非达西效应的影响，推导出在地层中为水气两相渗流的气水同产井的二项式产能方程，从而建立了气水同产井瞬态流入动态关系曲线的理论。

Horizontal gas well model considering well-bore structure parameters, turbulent flow under high-speed non-Darcy flow and start-up pressure gradient was established and solved. Binomial deliverability equation describing horizontal gas well was derived.

建立和求解了包含水平气井井身结构参数、近井区高速非达西渗流条件下气体紊流因素以及启动压力梯度效应的水平气井渗流模型，推导出了描述水平气井产能的二项式产能方程。

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

Based on the quality, momentum, and energy conservation laws and the state equation, considering the momentum loss of gas column flowing and the complicated thermal conduction mechanism in the bore-hole and formation, the pressure and temperature calculating method is derived for single-phase gas flow in different positions of the bore-hole.

文章以质量、动量和能量三大守恒方程和状态方程为基础，考虑了流动气柱的动能损失以及井筒和地层中复杂的传热机理，推导出计算单相气流在井筒不同部位压力和温度的方法。

The boundary contour formulations of evaluatingstresses from the Somigliana stress identity are derived for 2-D problemswith quadratic boundary elements.The boundary contour method basedon the traction boundary integral equation is further discussed.Elasticproblems are first solved using the traction boundary contour method.Amixed collocation of the displacement boundary contour formulation andtraction boundary contour formulation is given.(4)The dual boundarycontour method is developed for the analysis of crack problems.

3建出了Somigliana应力积分式的二维和三维问题的边界轮廓法理论；给立了二维问题由Somigliana应力积分式计算应力的二次形函数的边界轮廓法方程，进而给出了基于面力边界积分方程的边界轮廓法；提出了一种以位移边界轮廓法方程与面力边界轮廓法方程混合配置的方案，首次实现了用两种积分方程相结合来求解弹性力学问题。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。