查询词典 dimensionless

Three dimensionless control parameters have been taken into account : the ratio of centrifugal acceleration and gravity.

实验主要的三个无因次控制参数包括：离心加速度与重力比值、正向韦伯数及切线向韦伯数。

A generalized mathematical model was developed to describe the distribution of over-potential.Dimensionless variables μ and ω that characterize the polarization and influence of side electrode reaction in the system,were derived from modeling.Adomian's decomposition methodADM）was used to solve the nonlinear differential equation of the model to obtain an approximate analytical solution,which was in the form of algebraic expressions of infinite power series.By the solution,the relationship between over-potential distribution and average selectivity could be easily calculated without solving the nonlinear model time and again.

建立了描述超电势分布的普遍化数学模型，归纳出表征电极极化和副反应影响的量纲1数μ和ω，并用ADM（Adomian's decomposition method）对该非线性微分方程模型求解；所获得的逼近解代数表达式，可方便地计算不同参数下超电势分布对平均选择性的影响，而毋需反复求解模型微分方程。

Experiments of flow conductivity closure stress of typical propping agent are done, propping agent short-term flow conductivity alteration index is defined, by this, the relation between fissure short-term flow conductivity and closure stress, it is close to exponential relation. 4. Establishing the mathematical simulator of hydraulic fractured well's production in a steady state, finding the relation curve between dimensionless flow conductivity and fracture penetration coefficient by means of calculation and analyses, it is the basis of hydraulic fracture. 5. Expatiating the importance of optimized hydraulic fracturing design in reservoir engineering, advancing the optimizing design method, fracture dimension can be calculated easily when the physical parameters are known. 6. Production rate decline standard curve of vertical fractured wells is achieved by mathematical simulation, when the flow pressure is certain , by asymptotic analyze, this decline curve is close to exponential relation.

完成了国内外典型支撑剂的导流能力闭合应力影响实验，在数据分析中定义了支撑剂短期导流能力变异系数，并由此发现裂缝短期导流能力随闭合应力变化的近似符合指数关系式； 4 建立了一种水力压裂井稳态产能的数学模拟器，计算分析找到了最优无量纲导流能力与裂缝穿透比之间的新型关系曲线，它是水力压裂优化设计的基础； 5 阐述了水力压裂油藏工程优化设计的重要性，提出了优化设计方法，在已知支撑剂物性参数条件下可简洁计算最优裂缝尺寸； 6 数学模拟给出了垂直裂缝井产量递减标准曲线，在井底定压条件下通过渐近分析表明，该递减曲线满足指数关系式。

Having introduced a set of dimensionless parameters, the spatial distributive function of the induced electric field is made dimensionless and is applied to the computation and computer simulation of spatial distribution of electric field induced by a circular coil within half-infinite space.

在确定了一些无量纲参数后，对感应电场的分布函数进行无量纲化，并用于计算圆形线圈在半无穷空间感应电场的计算及其分布的计算机仿真。

Having introduced a set of dimensionless parameters, the spatial distributive function of the magnetic field and the induced electric field is made dimensionless and is applied to the computation and computer simulation of spatial distribution of the magnetic field and the electric field induced by a circular coil and a 8-shaped coil based on MATLAB.

在确定了一些无量纲参数后，对磁场及感应电场的分布函数进行无量纲化，并用于基于MATLAB环境下圆形、8字形线圈磁场及产生的感应电场的计算及其分布的计算机仿真。

For radians, these functions are found in boost/units/cmath.hpp These behave as one expects, with trigonometric functions taking an angular quantity and returning a dimensionless quantity, while the inverse trigonometric functions take a dimensionless quantity and return an angular quantity

对于弧度，这些函数定义在 boost/units/cmath.hpp 。这些函数就像你想的那样，三角函数以弧度数量为参数返回一个无量纲数量，反三角函数以无量纲数量为参数返回一个弧度数量

Dimensionless equation of air flow resistance is functional relation of Euler number, Reynolds number and Prandtl number, is set up after experimental data is analyzed Air resistance through cooling coil is conveniently computed , fan of the new cooling tower is correctly selected and suitable distance of among cooling tubes is designed by the dimensionless equation.

建立了空气流动阻力的准则方程，即欧拉数Eu与雷诺数Re、普朗特数Pr之间的函数关系。利用这个准则方程可以方便地计算空气流经冷却盘管的阻力，合理地选配封闭式冷却塔所用风机和设计冷却盘管的管间距。

The study shows that the pressure transient curve of fractured wells in closed circular formation can be divided into six different flow regimes. In condition of the same fracture opening width and fracture length, compared to rectangular fracture, the pressure drop with tapered fracture is bigger, and the dimensionless pressure and pressure derivative curves are higher. In condition of the same fracture opening permeability, compared to linear declining and constant conductivity fractures, the pressure drop with exponential declining conductivity fracture is the biggest, and the dimensionless pressure and pressure derivative curves are the highest.

研究结果表明：圆形封闭地层压裂井的压力动态曲线可以划分为6个流动阶段；在相同裂缝开口宽度和相同裂缝长度的条件下，与矩形裂缝相比，楔形裂缝压力消耗大，表现为无因次压力及压力导数曲线越高；在相同裂缝开口渗透率的条件下，与导流能力呈线性降低的裂缝以及常导流能力裂缝相比，导流能力呈幂指数降低的裂缝压力消耗最大，表现为无因次压力及压力导数曲线最高。

With the similarity theory and dimensionless analysis method, the relation and corresponding dimensionless relation of the distance between the point of primary breakup and the axis are given.

在此基础上，利用相似性理论和无量纲分析，获得了运动状态下液体轴对称抛撒首次破碎点与对称轴之间的距离与相关参数的无量纲关系式。

A numerical approach is proposed to quantity the dominance degree of all dimensionless parameters based on the analysis of the sensitivity factor defined as the variation ration of a target function with respect to the variation of dimensionless parameters.

系统介绍了相似参数敏感性分析方法，定义了表征目标函数对相似参数依赖程度的敏感因子，结合数值方法便可定量地确定复杂体系主要相似参数，并实际应用于工程问题。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新