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Power-law fluid is used to describe the Non-newtonian rheological property of the produced fluid in a polymer-driving well; the governing equations, boundary and initial equations of power-law fluid in eccentric annuli with the inner cylinder reciprocating axially is established in bipolar coordinates system; formulas of instantaneous flow rate and stress distribution on the outwall of the inner cylinder of the unsteady flow of power-law fluid in eccentric annuli with the inner cylinder reciprocating axially are established.

在理论上,用幂律流体模型描述了聚合物驱油井产出液的非Newton流变性;建立了双极坐标系下幂律流体在内管做轴向往复运动的偏心环空中非定常流的控制方程及边界条件和初始条件方程;建立了双极坐标系下幂律流体在内管做轴向往复运动的偏心环空中流动时瞬时流量和流体在内管壁上的压力分布计算公式。

In the computation of aerodynamic forces, the present work is based on the work of Morino et al., but the following aspects are improved:(1) In computing the steady transonic aerodynamic load, the steady transonic nonlinear integral equation is solved by relaxation-iteration method in this thesis, instead of solving the time dependent transonic nonlinear integral equation, so that the computing time is saved greatly;(2) The influence coeifficients represented by volume integral are transformed to surface integral by using the Gaussian Theorem, so the analytical form of these coeifficients can be obtained and this leads to be more convenient to analyse and compile computer program;(3) The shock capturing method is used in every time step in present work, no shock moving term is added in the integral equation, so that it is more convenient and simpler to treat.

在气动力计算方面,本文基于Morino等人的工作,作了如下几方面的改进:(1)在计算定常跨音速流场(作为非定常绕流计算的初场)时,本文采用松驰迭代法直接求解跨音速定常非线性积分方程,而不是采用时间相关法求解非定常非线性积分方程,这样大大节省了计算机时;(2)将以体积分形式出现的影响系数化为面积分,并获得解析公式,这样便于分析和编写程序;(3)对运动的激波,本文通过在每一个时间步长上采用激波捕捉法而得到,而不是在积分方程中附加激波运动项,因而处理起来简单方便得多。

In the paper, on the basis of aggregation of previous studies, the development of optical technology and development trends at home and abroad are introduced, the principle of Fresnel lens is summarized. In accordance with its principle, circle equidistant steps Fresnel lens design is described. And on this basis, based on Fresnel design, also based on a continuous upward spiral of the plane curve concept, incidence surface and the backlight is set up to greet Archimedes - Fresnel lens design formula and the Second parabolic type Fresnel lens design formula, and on this basis, the advantages and disadvantages of the three designs is discussed.

本文在充分了解非球面光学技术在国内外的发展状况和趋势的基础上,同时从菲涅尔透镜的光学原理出发,并根据它的工作原理推导了圆环等距菲涅尔透镜的设计步骤,并在此基础上依据菲涅尔的设计思想,同时依据平面曲线的连续又呈螺旋的构思,推导出了迎光面和背光面阿基米德型菲涅尔透镜的设计公式和二次抛物面型菲涅尔透镜的设计公式,并在此基础上讨论了这三种设计各自的优缺点。

In this paper,the Newtonian fluid model was used to describe rheological property of the produced fluid,and motion equation of unsteady flow of Newtonian fluid in eccentric annulus with the inner cylinder reciprocating axially was transformed by means of the method of undetermined coefficients.

采用Newton流体模式描述油井产出液的流变性,利用待定系数法变换Newton流体在内管做轴向往复运动的偏心环空中非定常流的运动方程,建立给定流量下Newton流体在内管做轴向往复运动的偏心环空中非定常流的压力梯度计算公式,并利用有限体积法对压力梯度进行数值计算。

So in this paper, the improved models were proposed which regarded the leaf photosynthetic trait and the light penetrating into row cucumber crop canopy heterogeneously, it is composed by the model of photon transport in heterogeneous leaf canopy and the empiristic formula which described regression between leaf age and maximal photosynthesis rate and use efficiency of sunlight.

该文所建立的日光温室黄瓜非均质冠层光合速率模型考虑到日光温室黄瓜冠层内光照分布以及叶片光合特性的不均匀性,其包含了非均匀冠层的透光模型和描述冠层叶片光合特性差异的经验公式。

The Collins formula in spatial frequency domain is generalized into axially nonsymmetrical optical system in terms of tensor analysis method.

运用张量分析方法把轴对称系统中的空间频率域的柯林斯公式推广到一般的非轴对称光学系统,并推导了在空间频率域中适用于非轴对称光学系统的张量ABCD定律。

The two-dimensional CDRC-ADI-FDTD update equations for collision unmagnetized plasma are induced. The unconditional stability of the CDRC-ADI-FDTD formulation for collision unmagnetized plasma is obtained by the examples.

推导了碰撞非磁化等离子体中的二维CDRC-ADI-FDTD迭代公式,并用算例验证了碰撞非磁化等离子体CDRC-ADI-FDTD算法也是无条件稳定的。

In order to find out a simple and efficient method to calculate the water breakthrough time in combination well pattern of horizontal and vertical wells, simplifing a horizontal well into a vertical well with the same well-hole radius, and considering the unpiston-like displacement, the water breakthrough time formulas of five-spot, seven-spot and nine-spot pattern were derived and revised by equivalent percolating resistance method. In this method, the percolation region is divided into three resistance regions.

为了寻求一种简单、有效的计算水平注水井与直井联合井网的见水时间的方法,将水平井简化为具有等效井筒半径的直井,考虑水平井与直井联合布井水驱油的非活塞性,运用等值渗流阻力法将渗流区划分为3个阻力区,推导出了五点法、七点法和九点法水平井与直井联合井网的油井见水时间的计算公式和修正公式。

The probability density function of non-following headway and formulations of random variables of two kins of traffic flows are deduced.

本文以爱尔朗分布为基础,将高速公路上车辆分为队状跟车和非跟车两种类型交通流,用大量实地观测数据检验分布的特性,推导出非跟车流车头间隔的概率分布函数和仿真用的两种交通流的随机变量公式。

Base on the magnetic performance of gas, the moment of rotation of a dumbbell is derived when it is in a nonuniform magnetic field. A design of the measuring cell is proposed, a rotary resistance for the dumbbell ball is implemented by a silver-coated erosion approach, and the techinque requirements are analyzed for the nonuniform gradient magnetic field.

从气体磁性推导出了哑铃球在非均匀梯度磁场中受到的转动力矩公式,给出测量池系统的设计方案,采用镀银刻蚀方案实现哑铃球系统的转动阻尼,分析了非均匀梯度磁场系统的技术要求。

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