量纲

经量纲分析和圆管紊流理论分析表明流道内部流动的雷诺数Re对流道摩阻系数λ影响很小，可以忽略不计；

The results of dimension analysis and turbulent pipe flow theory showed that the Reynolds number Re had low effect on the flow path friction coefficient λ, which could be ignored .

这一系列计算公式不仅适用于管道截面，也适用于任何环形截面，为在环形截面应力分布已知的状态下计算管道的无量纲轴力n和无量纲弯矩m提供了依据。

The series of formulas are not only suitable for the pipeline , also are suitable for any annular section . It also provides the basis for calculating the zero dimension value n and zero dimension value m when the pipeline 's stress distribution is known .

利用下面的代换，便于使这个问题无量纲化。

It is convenient to nondimensionalize this problem with the following substitutions .

提出了R<1的无量纲P参数法。

The method of dimensionless parameter for R < 1 has been proposed in this paper .

掺气浓度Cσ对冲坑深度的影响，可表达为掺气浓度与冲坑无量纲深度的幂函数关系。

The relationship between the air concentration and the scour depth can be expressed as an exponential function .

焊接H形轴压构件截面设计的无量纲系数法

Dimensionless coefficient method of designing the welding section of axial pressure component with H shape

在外边界封闭的情况下，不考虑CD和S的无量纲平均地层压力，与无量纲生产时间成正比；

In the closed case , the relation between dimensionless average pressure and dimensionless time is linear if CD and S are neglected .

从量纲的观点来看，它是不能令人满意的，因为e的幂必须是无量纲的。

It is not satisfactory from a dimensional standpoint , since the power to which we raise e must be dimensionless .

可以通过本文定义的无量纲参数u′，确定冲刷形态。

The two erosion patterns can be determined by dimensionless parameter U ' , defined in this paper .

通过扩展的内模整定方法提出了基于无量纲参数（无量纲时滞时间和无量纲过程增益）的PID控制器参数整定方法。

This paper presents a new normalized tuning method of PID controllers based on two dimensionless numbers form extensive IMC tuning method .

以无量纲因子fα（a／b）为表征参量，给出了具有环形缺口的圆杆缺口尖端附近的应力场；

The stress field near the tip of the annularly breached bar takes f α( a / b ) as its descriptive parameter is given here .

用无量纲柔度法测定了重轨钢动态几何因子f（a／W）值。

The dynamic geometrical factor f ( a / W ) for heavy rail steel was measured with the method of dimensionless flexibility .

在对各指标值无量纲处理的基础上，采用BP神经网络的算法，可综合评价油田设施更新方案。

Based on the un-dimensioned process of various indexes and by the algorithm of BP neural network , oil field equipment can be evaluated comprehensively .

值为44。无量纲计算一元弱酸溶液pH值

Value ( number of fundamental ) being 44 . The chromosome number and karyotype of A. The Dimensionless Calculation of pH for the Solution of Weak Monoacids

对各参数进行无量纲处理，借助ANSYS软件分析篦齿封严组件振动的特性，获得结构无量纲频率和振型；

The vibration characters of the labyrinth gas seal device are analyzed with non-dimensional parameters in ANSYS and the non-dimensional frequencies and modes are obtained .

对于圆柱棒型规则多孔填料床，可用水力雷诺数、液相韦伯数、Bond数和无量纲流动参数来关联其气液两相流动阻力实验数据；

A correlation of flow friction factor is obtained from the experimental data by using Reynolds number , Weber number , Bond number , and the dimensionless flow parameter .

Bingham体的连续流和阵性流研究中无量纲参数讨论

Discussion on the Dimensionless Parameters in the Investigation of Bingham-Fluid Continual and Intermittent Flow

本文提出了确定该临界液位的数学模型，临界液位高度与破口直径之比h／d由两个无量纲积分方程所制约。

This paper presents a numerical model to determine the critical liquid height , the ratio of the critical liquid height to the break diameter h / d is characterized by two non-dimensional integration equations .

DEA最大优势在于处理多输入和输出时无量纲要求，从而避免了多输入或输出的汇总的困难。

One of the greatest advantages of DEA is that inputs and outputs can have very different units , with no difficulty of aggregating inputs or outputs .

模式中引入了一个与R/B和床沙摩阻系数有关的无量纲系数Cb，从理论上证明了当弯道R/B介于2～4之间时，蠕动速率取最大值。

A dimensionless coefficient C_b which is dependent on R / B and bedload friction coefficient is defined This model verifies theoretically the maximal values of rate of bend migration as R / B is value between 2 and 4 .

利用准环坐标将具有标量电阻率和粘滞系数的MHD方程简化为一组无量纲的非线性方程。

We reduce MHD equations with scalar resistivity and viscosity to a set of dimensionless nonlinear equations in a framework of quasi-toroidal coordinates .

依据量纲分析理论，对水翅现象的影响因素进行了分析，可知水翅现象与泄洪洞有压段出口Fr0、水流对冲长度Ld和水面下凹深度H（cs）有关。

The works included : ( 1 ) Based on dimensional analysis , the influencing factors of the height and length of the water-wings were obtained .

根据一定的边界条件及初始条件推导出拉氏空间下以Bessel函数表示的无量纲解析解。

Dimensionless equations of the transfer model obtained in the Laplace spaces at the boundary and initial condition were expressed in terms of ordinary Bessel function .

研究表明，金属靶的斜穿甲仅由4个量纲一参数控制，即冲击函数I、弹体几何函数N、量纲一靶厚χ和撞击斜角β。

It clearly shows that the perforation of metallic plate is dominated by four non-dimensional numbers , i. e. , the impact function I , the geometry function of projectile N , the non-dimensional thickness of target χ and the impact obliquity β .

考虑无质量费米场和规范场的Pauli相互作用项的系统，在这一理论中耦合常数为无量纲量。

We consider a massless fermion interacting with the gauge field by Pauli interaction in which the coupling constant is dimensionless .

该文认为合理的反切方式应该是无量纲准则数XJ为1左右时的配风工况。

The paper suggests that it should be the optimum operating condition when the dimensionless number XJ is nearly equal to 1 .

讨论了特征参数的无量纲化处理方法，并结合ABO灰色关联度诊断法简单易于实现和BP神经网络法诊断精度较高的特点，完成了齿轮箱的故障模式识别和诊断决策。

By combination of the ABO gray cognate analysis which is easy to fulfill and the BP neutral network diagnostic method which is accurate , the fault pattern recognition and diagnosis are fulfilled for the gearbox .

其中，采用基准值法（Benchmarking）确定每个评价指标的上下限值，以构建指标实现程度函数对评价指标作无量纲化处理。

Among them , the threshold method using Benchmarking evaluation of each upper and lower limits , to build the evaluation function of indicators ' realization degree for non-dimensional treatment .

借助无量纲计算模式，计算不同载荷组合下CFG桩复合地基承载力的可靠度指标，并分析了各随机变量对可靠度指标的影响程度。

The reliability indexes of the composite foundations of CFG piles is calculated by thenon-dimensional calculation mode and the influence extent of each stochastic variable on the reliability index is also analyzed .

点功率谱密度测量结果的无量纲表示和BullM.K.等人风洞中的测量结果相吻合。

The non-dimensional representation of measured point power spectrum coincides with the measured results by Bull M. K. et al . in wind tunnel .