The center manifold reduction technique is applied to the generalized laser Maxwell-Bloch equations. In comparison with the adiabatic elimination technique, it introduces a small diffusion correction, which does not change the main dynamical behavior of laser field equation. 利用中心流形定理对广义激光Maxwell-Bloch模式方程进行化简,与绝热消去法比较,这将引入小的扩散修正项,但它并不改变激光场方程的主要动力学行为。
By use of adiabatic approximation in synergetic theory, the variables in the equation set describing the fault are divided into fast transition parameters and slow transition parameters, then by means of eliminating the fast transition parameters the equation set is simplified; 利用协同学理论下的绝热近似等效原理将描述故障的方程组中的变量划分为快驰豫参量和慢驰豫参量,并消去前者使方程简化;
The energy equation and its application of adiabatic compression flow is discussed by forming energy equation with fluid motion differential equation. And some analysis is made on the error emerging when low speed flow is calculated as incompressible fluid. 用流体运动微分方程建立能量方程,讨论绝热压缩气流能量方程及应用,并对低速气流按不可压缩流体计算所产生的误差进行了分析。
The vorticity equation and adiabatic equation are converted into a set of nonlinear ordinary differential equations which have been integrated on the electronic computer by using the Runge-Kutta method. 将涡度方程及绝热方程分离变量,化成非线性常微分方程组,以Runge-Kutta法在电子计算机上进行数值积分。
At present, an adiabatic throttle model based on BWRS equation of state is used to obtain the temperature variation of Ban876 UGS's RNG at constant enthalpy condition. 为此,利用基于BWRS状态方程的绝热节流模型计算了板876储气库回采天然气的高压节流温变等焓线。
The mathematical model to calculate the flow characteristic of the adiabatic capillary tube was proposed in the paper, which was based on mass conservation, momentum conservation and energy conservation equation. 从质量守恒、动量守恒和能量守恒方程出发,建立以毛细管流动特性仿真为目的的毛细管流动数学模型。
In this paper, the author studies the characteristic of hybrid bearing and the temperature distribution of oil film under the influence of temperature by simultaneously solving the Reynold's equation and adiabatic energy equation through the use of 8-node isoparametric finite element method. 本文利用8节点等参的有限元法联耦求解了雷诺方程、绝热能量方程,获得了考虑温度变化后动静压轴承的有关特性及油膜的温度分布。
The determination of throttle coefficient of high-pressure natural gas in adiabatic throttle process is discussed, and the average throttle coefficient can be calculated by the enthalpy-pressure chart and equal enthalpy equation. 讨论了高压天然气绝热节流过程中节流系数的确定。任意状态下的节流系数可利用计算式确定,平均节流系数可利用天然气的焓-压图和等焓计算式确定。
The applicable condition of adiabatic approximation is equal to that of linear differential equation when γ>> β. 在摄动法可以应用,当γ■β时,绝热近似的适用条件与线性方程时一致。
Under non-relativistic conditions, the properties of adiabatic solutions of the Schrodinger equation in moving frame of reference and the behaviours of the corresponding Berry's Phase are analysed. 本文在非相对论情况下,讨论了运动参照系中Schrodinger方程绝热近似解的性质和Berry相因子在坐标变换下的行为,对转动和平动参照系两种具体情况作了较为详尽的分析。
In this paper, a one-dimension analytical solution for human tissue temperature on condition that the adiabatic body surface was derived based on Pennes ′ bio-heat equation. The blood perfusion and the arterial blood temperature were measured according to the derived formulae. 根据一维Pennes生物传热方程,推导出了体表绝热后人体组织中及皮肤表面温度分布的解析解,并对人体组织中的血液灌注率及动脉血温度进行了实验测量。
Based on the adiabatic oxidation theory and equation of spontaneous combustion of coal, the adiabatic oxidation equipment is designed and manufactured. 根据绝热氧化理论和绝热氧化方程,设计了相应绝热氧化实验装置。
Based on the fundamental theory of coal to self-ignite and the adiabatic oxidation equation, the adiabatic oxidation equipment was designed and manufactured. 在煤自燃动力学基本方程基础上得到了煤绝热氧化方程,并设计了相应绝热氧化实验装置。
New Theory on Adiabatic Temperature Rise and Heat Conduction Equation of Concrete 混凝土绝热温升和热传导方程的新理论
A suitable definition for adiabatic process equation and study on the ideal gas adiabatic process in detail provide more clues for practical gas process. 给多方过程以恰当的定义,并对理想气体多方过程作详尽的探讨,为研究实际气体的实际过程提供了更多的线索。
In the analysis, the adiabatic temperature rise is taken as a function of effective time based on the Arrhenius theory, resulting in a non-linear differential equation. 研究中,绝热温升采用了基于Arrhenius理论的有效时间的函数,从而导致求解非线性热传导方程。
Hydration rate is adopted to describe the combined effect on adiabatic temperature rise. A new non-linear heat conduction equation based on equivalent time is applied to solve the temperature field and stress field of Ming River Aqueduct Project. 用化学反应速率描述温度对混凝土绝热温升的影响,求解基于等效时间的非线性热传导方程,对南水北调工程洺河渡槽施工期温度场和徐变应力场进行了仿真计算。
Secondly, the adiabatic shear band formation in high speed orthogonal cutting plastic metal materials is studied. The momentum conservation equation, the energy conservation equation and the coordination equation in the primary deformation zone are established. 其次,研究高速直角切削塑性金属材料锯齿形切屑绝热剪切带的形成过程,建立高速直角切削塑性金属材料第一变形区动量守恒方程、能量守恒方程和协调性方程。
In order to further understand intrinsic dynamical properties of the system, using the adiabatic approximation and the two-state theory, we dealt with the differential equation of two-species competition system. 为了进一步的研究该系统中的内在动力学特性,我们利用绝热近似理论以及双态理论对该两物种竞争系统的动力学微分方程模型作了解析处理。
In this thesis, we briefly introduce the theoretical model of atom-field interaction and the stimulated Raman adiabatic passage. Then we describe heat bath theory and Langevin equation which can be used to study the open system of atoms coupling to the cavity modes. 本文首先介绍了光和原子的相互作用的理论模型和受激拉曼绝热通道,接着介绍了研究腔模与原子相互作用这个开放系统时主要采用的热库理论的基本知识和朗之万方程。
According to the law of material conservation and energy conservation, the adiabatic fixed bed reactor model have been established, the appropriate kinetic equation and the thermodynamic properties have been selected. The Runge-Kutta method to solve the reactor model has been used. 根据物料守恒、能量守恒建立了绝热式固定床反应器的模型,选择了适当的动力学方程和热力学性质,采用了龙格库塔法对反应器模型进行求解。
The adiabatic equation of ideal gases with the temperature-dependent heat capacity is strictly deduced and used to analyze the performances of the Otto and Diesel heat engines. The optimum criteria of some important parameters are given. 通过严格推导得出热容量随温度变化时理想气体的绝热方程,并分析了Otto和Diesel热机的性能,给出了一些重要参数的优化判据。
On this basis, it analyses the order parameter of the kinematics, uses the adiabatic approximation, calculus and synergy theory together to solve the kinematics equation. 分析了运动学方程的序参量,运用绝热近似法、微积分理论和协同学理论求解运动学方程。