查询词典 transformation equation

Two types of new Abel differential equation are structured by method of variation replacement, variation position transformation and compound function derivation law.

借助变量替换法、交换变量位置法及复合函数求导法则，构造出两类新的 Abel型微分方程，论证它们的可积性，提供可积的判据，从而推广有关文献的结论，扩大微分方程的可积范围。

Two-equation turbulence model is used in numerical simulation for the side-air burner, compared with the practical measures and tests, good accordance achives. This method can bring great convenience in analyzing aerodynamical field of boiler. Secondly the method of XRD is used in analyzing the phase transformation in the course of dynamic slagging test, so we can describe the process of slagging comparatively accurately. Last this paper introduces a kind of fuzzy mathematics model which comprises an assemblage combined by seven change factor.

本文首先采用k—ε双方程模型对水煤浆侧边风燃烧器进行了数值模拟，并与实际锅炉燃烧器冷态调试试验结果对比，结果吻合较好，这为我们分析炉内空气动力场特性提供了参考；其次对锅炉结渣动态特性试验，采用XRD的分析方法，较为准确的描述了实际锅炉结渣的过程；最后为了准确的判断出水煤浆的结渣倾向，本文对锅炉结渣的七个影响因素提出了模糊综合判断模型，正确的反映出了该水煤浆的结渣倾向。

Firstly the k-e two-equation turbulence model is used in numerical simulation of the flow field ,compared with the practical measures and tests, good accordance achives. This method can bring great convenience in analyzing aerodynamical field of boiler. Secondly the method of ash-composition, ash-melting-point, XRD is used in analyzing the phase transformation in the course of dynamic slagging test, so we can describe the process of slagging comparatively accurately. Last this paper introduces a kind of fuzzy mathematics model which comprises an assemblage combined by seven change factor.

接着采用标准k—ε双方程模型对炉内冷态空气动力场进行了数值模拟，并与实际锅炉燃烧器冷态调试试验结果对比，结果吻合较好，这为我们分析炉内流场提供了参考；其次对锅炉静态、动态特性试验，采用灰成分分析、灰熔点测试及X光衍射物相分析方法，较为准确的描述了实际锅炉结渣过程；为了准确的判断出水煤浆的结渣倾向，本文对锅炉结渣的七个影响因素提出了模糊综合判断模型，正确的反映出了该水煤浆的结渣倾向。

The first is based on the algebraically equivalent transformation to the standard centering equation xs=μe.

首先通过对中心化方程xs=μe实施代数等价变换，得到了新的不同的摄动方程组。

The proposed algorithm use the related deduction of division with reminder of polynomials and the key equation is solved by column transformation of matrix. Then the formula of quotient and reminder can be got quickly which can reduce the times of iterative operation.

该算法利用多项式带余除法的相关推论，通过矩阵的列变换来求解关键方程，这样可以快速地得到商式和余式，从而可以减少迭代运算的次数。

As well as in previous work, we reduce this problem with the Schr\oder transformation to finding analytic solutions of a functional equation without iteration of the unknown function $f$.

通过Schr\{o}der变换把方程转化为不含未知函数迭代的函数方程，进而求出方程的解析解。

As an examplc, in the Chebyshev coordinates, we use the Backlund theorem to give a Backlund transformation and a permutability formula between the generalized sine-Laplace equation and the generalized sinh-Laplace equation.

作为一个例子，利用几何的Backlund定理我们给出了广义的sine-Laplace方程和广义的sinh-Laplace方程之间的Backlund变换及其置换公式。

This paper described the principle of plane ultrasonic spreading abroad in the liquid coming into being ultrasonic grating,educed the density and refractive index changing rule basis continuity equation of not-ideal liquid and Lorentz-Lorenz law,expressing the transformation of the index and refractive index satisfaction similar equation of standing wave,and described the relation curve of the standing wave form at a few special times,liquid density and refractive index periodic variety according to the res...

描述了平面超声波在液体里传播形成超声光栅的原理；根据非理想流体对应的连续性方程和Lorentz-Lorenz定律，推导了液体光栅中液体密度与折射率的周期性变化规律，表明液体密度和折射率变化满足相似的驻波方程；根据推导的结果描绘了几个特殊时刻的驻波波形、液体密度、折射率周期性变化之间的关系曲线；进而由折射率周期性变化规律分析了超声驻波自身像的形成原理，并给出了CGS型超声光栅声速仪利用超声驻波自身像测量声速的方法与实验结果。

In this dissertation the"Penalty"finite element method was employed to compute the velocity of the three-dimensional flow of power-law fluid in a profile die. In order to decrease the needed computer memory and raise the stability of numerical simulation, a set of decoupled methods such as PFEM, pseudo-body force method and transformation of momentum equation to the elliptic equation was developed to establish the general finite element equations to compute the distributions of velocity and viscoelastic stress of the three-dimensional viscoelastic flow of the Phan ThienTanner fluid in a profile die. During numerical simulation of the extrudate swell of the PTT fluid, the flow in the die and out of the die was analyzed separately, which demands less computer memory.

本文建立了求解挤出口模内幂律流体流动速度场的通用三维罚有限元模型；对于非线性粘弹性的Phan Thien-Tanner流体，为了降低模拟计算对计算机硬件的要求，并使模拟计算更加稳定，采用了一种去耦算法，包括罚有限元方法、拟体力方法和动量方程的椭圆类方程转化方法，并建立了求解速度场和粘弹性应力场的总体有限元方程；对于PTT流体的挤出胀大问题，提出了挤出胀大熔体口模内外分离模拟法，这样可以显著降低数值模拟对计算机硬件的要求。

In this dissertation the"Penalty"finite element method was employed to compute the velocity of the three-dimensional flow of power-law fluid in a profile die. In order to decrease the needed computer memory and raise the stability of numerical simulation, a set of decoupled methods such as PFEM, pseudo-body force method and transformation of momentum equation to the elliptic equation was developed to establish the general finite element equations to compute the distributions of velocity and viscoelastic stress of the three-dimensional viscoelastic flow of the Phan ThienTanner fluid in a profile die. During numerical simulation of the extrudate swell of the PTT fluid, the flow in the die and out of the die was analyzed separately, which demands less computer memory. The key techniques used in numerical simulation of the three-dimensional extrusion from dies such as decision of boundary conditions, creation of initial velocity field, selection of penalty factor, high Weissenberg number problem , regeneration of the free surface were studied in detail.

中文题名聚合物异型材口模挤出三维流动研究副题名外文题名 Study on three-dimensional flow of polymer melts during the process of profile extrusion from dies 论文作者涂志刚导师柳和生包忠诩教授学科专业材料加工工程研究领域\研究方向学位级别博士学位授予单位南昌大学学位授予日期2001 论文页码总数148页关键词挤出成型聚合物材料挤出口模聚合物异型材馆藏号BSLW /2003 /TQ320 /9 本文建立了求解挤出口模内幂律流体流动速度场的通用三维罚有限元模型；对于非线性粘弹性的Phan Thien-Tanner流体，为了降低模拟计算对计算机硬件的要求，并使模拟计算更加稳定，采用了一种去耦算法，包括罚有限元方法、拟体力方法和动量方程的椭圆类方程转化方法，并建立了求解速度场和粘弹性应力场的总体有限元方程；对于PTT流体的挤出胀大问题，提出了挤出胀大熔体口模内外分离模拟法，这样可以显著降低数值模拟对计算机硬件的要求。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。