The entropy increase function, we has derived the phase field controlling equations which are thermodynamical consistent.
该模型以熵增加函数为基础，通过熵增加函数推导出热力学一致性的相场控制方程。
Based on clear physical concepts, complete nonlinear dynamic equations of two-phase media are derived by using classic mechanical principle directly.
本文以清楚的物理概念，依据经典力学原理建立了两相介质完整的动力学非线性方程组。
The local behavior of the surface oil flow patterns is analyzed with phase plane theory of ordinary differential equations. Also the surface oil flow patterns are locally classified.
在此基础上利用微分方程相平面理论分析表面油流谱的局部特性和对流谱局部地进行分类。
Firstly, the canonical equations of nonconservative constrained Hamiltonian systems are established, and the symmetries and exact invariants of the systems in the extended phase space are studied.
建立了非保守约束哈密顿系统的正则方程，在增广相空间中研究了系统的对称性与精确不变量。
Using the revised quasiregular model, we obtained the equations of the liquid-solid phase equilibrium curves of a binary system according to thermodynamic theory.
利用改进的准正规模型，根据热力学理论获得了决定二元液-固相平衡的曲线方程。
Equations of state, change of phase, ideal gases, chemical potentials, chemical reactions, equilibrium equations, affinity.
状态方程，相变，理想气体，化学势，化学反应，平衡方程，亲和力。
The solutions of rate equations in a high power all solid-state Q-switched intracavity frequency doubled laser by taking the phase mismatch into account are presented.
给出了在考虑相位失配情况下高功率全固态内腔倍频调q激光器的速率方程解的情况。
The energy flux and mass flux equations have been established while a liquid vapor phase change occurs on spherical gas nucleus wall on the basis of non equilibrium thermodynamics.
从非平衡态热力学理论出发，建立了有相变发生时球形气核与围流液体之间能量流和物质流的方程序。
We calculate the best phase-matching angle according to the Sellemier equations of KTP and compare the quality of LBO.
根据KTP晶体不同的色散方程，对该匹配角进行了数值计算；并比较了LBO晶体的相关特性。
Numerical modeling of the changes of tidal amplitude and phase due to the MSL rise was made by the use of tidal basic equations in rectangular bays with mouths open to the south and tortuous bays.
利用潮波基本方程数值模拟了湾口朝南的不同矩形海湾和曲折岸线海湾中海平面上升引起的潮位振幅和位相变化。
Because gas phase and solid phase are in heat non-equilibrium state, that equations of energy should be described respectively and contained radiation part.
气、固相处于非热平衡态，分别列出其能量方程，且能量方程中考虑辐射项。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
This paper discusses the three problems about the closure of control equations of two phase flow.
讨论了平均二相流基本方程的封闭问题。
This paper analyses the internal overvoltage and the phase current of grounded wye shunt capacitor bank when there are failures in it, and gives corresponding equations.
分析了中性点接地电容器组内部故障时的内部过电压和相电流变化，并给出了相应计算公式。
Equations of mass, momentum and second moments for particulate phase are derived from a particle PDF (probability distribution function) equation in dilute turbulent sediment-laden flows.
从颗粒运动的PDF(概率密度分布函数)输运方程出发建立颗粒相的质量、动量和脉动速度二阶矩方程。
Because the effects of transformation between the gaseous phase and the condensed phase are included, the system of fundamental equations is applicable to both equilibrium flow and frozen flow.
由于考虑了气相和凝相之间转化的效应，因而方程组对于平衡流和冻结流都是适用的。
We assume that the motion of controlled object is describedby linear ordinary differential equations with variable coefficient, and the final states ofthe system form a convex region of phase space.
受控系统的运动设为变系数线性常微分方程组所描述，而系统的终点状态是相空间内的某一凸性区域。
The governing equations of gas phase, liquid drops and particles are established based on the two-fluid model in the moistening-activation reactors.
本文给出了气—液滴—固三相流体的双流体模型下的各控制方程组。
By introducing a pair of self-conjugate operators, we may linearize the equation of fluctuation term., and get the equations of density and phase fluctuations.
通过引入了一对自共轭算符将涨落项满足的方程线性化，进而得出密度和相涨落所满足的方程。
On the basis of classic optics, a set of equations for calculating the phase function of CGH are obtained.
本文应用经典的等光程原理，导出了CGH器件上的位相函数计算系列方程；
After Laplace transformation of the above equations, the viscoelastic problems become elastic problems under the phase space.
通过拉普拉斯变换，将粘弹性问题归结为相空间中类似弹性力学问题。
The evolution equations of wavelength, phase velocity, propagation direction and amplitude of the AGW packet are derived.
文中导出了声重波波长、相速、传播方向以及振幅的演变方程。
On the basis of numerous experimental data, the existing equations for calculating the pressure drop of two-phase flow were analyzed and their shortcomings indicated.
本文在大量实验资料的基础上，对现有两相流阻力计算公式进行了分析，指出了其中存在的问题。
By means of separated model and appling system control theory, dynamic system characteristic equations of describing two-phase flow instability are derived.
根据分相模型运用系统控制的方法导出了描述两相流不稳定性的动态系统特征方程序。
A continuity wave model is put forward for the dispersion process of liquid-liquid two-phase system, by coupling mass and momentum conservation equations of two-fluid model.
以双流体模型为基础，通过质量守恒方程和动量守恒方程的耦合，提出了液液两相系中弥散传质的连续波模型。
The transcendental equation for ferrite phase shifters in rectangular wave guide has been obtained by applying twin slab model, Maxwell equations and boundary conditions.
首先利用双平板模型、麦氏方程组和边界条件推导矩形波导铁氧体移相器的超越方程。
In the phase space of the elastic parameter, the generalized linear inversion equations are presented.
在弹性参数的相空间中，得到广义线性反演方程。
In the phase space of the elastic parameter, the generalized linear inversion equations are presented.
在弹性参数的相空间中，得到广义线性反演方程。
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