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对流扩散
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  convection-diffusion
     HIGH-ORDER CHARACTERISTIC-DIFFERENCE SCHEMES FOR THE NONLINEAR CONVECTION-DIFFUSION EQUATION AND THEIR ERROR ESTIMATES
     非线性对流-扩散方程的高阶特征-差分格式及其误差估计
短句来源
     Convection -Diffusion Theory of Sample Dispersion in Flow Injection Analysis System
     流动注射分析中试样分散的对流-扩散理论
短句来源
     Numerical Solution to the Inverse Problems Governed by Convection-Diffusion Equations Using Cybernetics Method
     对流-扩散方程反问题的控制论求解方法
短句来源
     Two methods were used to solve the convection-diffusion equation which appropriate to straight single-tube Flow Injection Analysis(FIA)system without chemical reaction,and the concentration distribution of the slug-injected sample after dispersing in the tube was obtained. F-Curve was thereby obtained.
     用两种方法求解适合于单一平直管道且无化学反应的流动注射分析(FIA)体系的对流-扩散方程,得到了描述塞状进样在管道中分散后的浓度分布公式,从而得到F曲线。
短句来源
     Numerical results show that the present method is efficient in solving inverse problems governed by convection-diffusion equations.
     计算结果表明,计算机辅助优化法对求解对流-扩散方程反问题是行之有效的;
短句来源
  “对流-扩散”译为未确定词的双语例句
     Characteristic Difference Method for One Kind of Nonlinear Convection-Diffusion Problem
     一类非线性对流-扩散问题的特征-差分法
短句来源
     This paper discusses a finite element method for conviction-diffusion equation in one dimension in which the grids are adaptively distributed.
     讨论用于对流-扩散方程的一种自适应有限元方法、在该方法中节点位置是自适应地分布的。
短句来源
     The locally implicit finite element scheme is a new numerical algorithm In this paper, it is given for the model equation, convection diffuse equation Then, the TVD property is analyzed, and the numerical experiment is done for the Riemann discontinuous questions It is proved that the locally implicit finite element scheme does have the TVD property
     局部隐式有限元法是一种新的数值算法,本文对模型方程,对流-扩散方程推导了局部隐式有限元算法。 在此基础上进行了TVD性质分析,及间断问题的数值实验,表明该方法确实具有TVD性质。
短句来源
     Based on central difference scheme, explicit upwind scheme, Samarskii scheme and modified Dennis scheme, some new alternating group explicit methods and alternating direction explicit methods are constructed for solving convection diffusion equation. Their experimental model and results of numerical comparison are given.
     以求解对流-扩散方程的中心差分格式、显式逆风格式、Samarski格式和修正Dennis格式为基础,构造了若干新的交替分组显式方法与交替方向显式方法,给出了它们的实验模型的数值比较结果.
短句来源
     It is proved that they are unconditionally stable. As shown by numerical results, besides AGE scheme based on central difference scheme and alternatively difference explicit scheme, the rest of AGE schemes and relevant ADE schemes are well matched in accuracy. They are also effective to higher Reynolds numbers.
     以求解对流-扩散方程的中心差分格式、显式逆风格式、Samarski格式和修正Dennis格式为基础,构造了若干新的交替分组显式格式,并证明它们是无条件稳定的.数值结果表明,除了基于中心差分格式的AGE格式与ADE格式外,其他的各种AGE格式与相应的ADE格式的精度相当.它们对高Reynolds数也是有效的
短句来源
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  相似匹配句对
     2. Study of diffusion and convection of injected fresh water into brine;
     2、对流扩散模拟技术;
短句来源
     INVARIANCE OF INTERACTIVE-STRUCTURE BETWEEN CONVECTION AND DIFFUSION
     对流-扩散相互作用结构的不变性
短句来源
     Convection -Diffusion Theory of Sample Dispersion in Flow Injection Analysis System
     流动注射分析中试样分散的对流扩散理论
短句来源
     Nonlinear Diffusion
     非线性扩散
短句来源
     Numerical Solution to the Inverse Problems Governed by Convection-Diffusion Equations Using Cybernetics Method
     对流扩散方程反问题的控制论求解方法
短句来源
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  convection-diffusion
Studies [4, 8, 9] are concerned with the averaging of convection-diffusion systems.
      
Grid approximation of singularly perturbed parabolic convection-diffusion equations subject to a piecewise smooth initial condit
      
A boundary value problem for a singularly perturbed parabolic convection-diffusion equation on an interval is considered.
      
The Dirichlet problem on an interval for quasilinear singularly perturbed parabolic convection-diffusion equation is considered.
      
Two-step iterative methods for solving the stationary convection-diffusion equation with a small parameter at the highest deriva
      
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An investigation of the kinetics of the reactions between liquid slags and carbonsaturated iron including the reduction of FeO, MnO, CrO and V_2O_3 by carbon and the desulphurization of iron leads to the conclusion that the chemical reactions come to equilibrium rapidly at the slag-metal interface, while the controlling step is convective diffusion. It has been found that the reactions are of the first order when the melt is kept in a rotational motion, caused by the use of a rotating crucible or stirrer, and...

An investigation of the kinetics of the reactions between liquid slags and carbonsaturated iron including the reduction of FeO, MnO, CrO and V_2O_3 by carbon and the desulphurization of iron leads to the conclusion that the chemical reactions come to equilibrium rapidly at the slag-metal interface, while the controlling step is convective diffusion. It has been found that the reactions are of the first order when the melt is kept in a rotational motion, caused by the use of a rotating crucible or stirrer, and are of second order when the melt is kept in a stationary crucible and stirred by CO gas bubbles only. The thickness of the diffusion boundary layer δ, obtained from a treatment of Chipman's desulphurization data and Philbrook's data on the reduction of FeO, which correspond to the two fore-mentioned cases respectively, has been found to be inversely propertional to ω~(1/2), the square root of the angular velocity, and C_(FeO), the concentration of FeO in the slag phase.The present problem has been treated on the basis of the principle of convective diffusion across a solid-liquid interface according to Levich. It has been found that our findings can be satisfactorily explained by an application of this principle. An exceptional case is the reduction of SiO_2 from slags, which is probably controlled by interfacial chemical reaction.

总結了渣鉄間碳还原反应,包括FeO,MnO,CrO,V_2O_3的还原和铁液中脫硫。可以认为界面上化学反应很快达到平衡,而整个反应的控制步驟是对流扩散。发現反应級数,在熔体处于旋轉运动(用旋轉坩堝或旋轉攪拌棒)下为一級,处于仅由CO气泡攪动(用靜止坩堝)下为二級;处理脫硫和FeO的还原数据的結果表明,在上述两种情况下,扩散界面层厚度δ分别和轉速ω~(-1/2)和浓度C~(-1)成比例。討論了固液界面上对流扩散原理在渣铁间碳还原反应中的应用,可以滿意地說明上述規律性。对于SiO_2的碳还原反应,根据現有实驗結果,尚不能肯定对流扩散的作用,可能此反应受界面化学反应所控制。

A star is an open system that exchanges energy and matter with its exterior. A star is also a themodynamic system far from the equilibrium state. For such a thermo-dynamic system, we could use the criterion of excess entropy production in non-linear and non-equilibrium thermodynamics provided by Ⅰ. Prigogine et al. to study the stability of the stellar structure. Following paper, in this paper we have reexamined the stability of stars located at the upper part of the main sequence, for which the reaction of...

A star is an open system that exchanges energy and matter with its exterior. A star is also a themodynamic system far from the equilibrium state. For such a thermo-dynamic system, we could use the criterion of excess entropy production in non-linear and non-equilibrium thermodynamics provided by Ⅰ. Prigogine et al. to study the stability of the stellar structure. Following paper, in this paper we have reexamined the stability of stars located at the upper part of the main sequence, for which the reaction of C-N-O cycle is their main energy source. We assume that the star is in hydro-statii equilibrium, the temperature in the region of nuclear reaction is a constant, and the convection and diffusion are unimportant. The formulae (3) are the reaction equations of C-N-0 cycle, in which x1, . . ., x6 are the mass densities of H1, C12, C13, N14, N15 and He4 respectively, kij are defined by (4), where NA is Avogodro's number, <σ,v>ij is the reaction section between particle i and j, and Ai is the atomic weight of particle i. The local excess entropy production is decided by the formulae (8), (12) and (13). According to the nonlinear and non-equilibrium thermodynamics, the system is stable if δxσ> 0, and unstable if δxσ< 0. We have obtained five conditions for the stability, that is, the formula (14). The first three conditions are satisfied for a star. But the last two conditions, that is, the formulae (15) and (16), contradict each other. Therefore, the thermodynamic system is unstable. We have discussed the reasons about the contradiction, and shown that the convection, diffusion, temperature change and the cycle reaction other than C-N-O cycle, i.e. formula (17), are important, and their effects on stability of the stellar structure must be considered.

恒星是一个不断地与外界发生能量和物质交换的远离平衡的开放系统。对于这样的热力学系统,可以用非平衡热力学中的超熵产生判据来研究其稳定性。本文讨论以碳氮氧循环作为主要能源的主序上部恒星的稳定性问题。在本文做的简化假设的条件下,系统是不稳定的,我们讨论了出现这种现象的原因,指出需要进一步研究对流、扩散、温度变化和碳氮氧双循环的影响。

The effective distance of acid penetration along a fracture is an important parameter for acid fracturing design and treatment.Up to now, it has not yet been taken into account at home and abroad that the decreasing acid concentration and the increasing reaction products influence the effective mass transfer of hydrogen ions in the flowing acid reacting with carbonate rocks. In our research, we have found that the influence of the common ion effect on the effective mass transfer coefficient of hydrogen ions...

The effective distance of acid penetration along a fracture is an important parameter for acid fracturing design and treatment.Up to now, it has not yet been taken into account at home and abroad that the decreasing acid concentration and the increasing reaction products influence the effective mass transfer of hydrogen ions in the flowing acid reacting with carbonate rocks. In our research, we have found that the influence of the common ion effect on the effective mass transfer coefficient of hydrogen ions is considerable. It is an important factor to be considered.By means of reaction of flowing hydrochloric acid of various concentrations with Yang Xin limestone of Permian age from Sichuan, we have got some curves which express the relationship between the transfer coefficient with the partially spent acid concentration and the flowing Reynolds number.With the help of mathematical statistics an experience equation expressing dimentionless relation of them has been obtained. When we substitute it into the convection-diffusion equation and solve the latter, the distance of acid penetration can be claculated. In the calculation the change of acid concentration and the common ion effect are taken into account. This distance may be also estimated by superposing the results of calculating section by section.

裂缝中流动酸液的有效穿透距离,是压裂酸化施工设计和预测增产效果的一个重要参数。迄今为止,国内外的研究者,在解决这一问题时,均未考虑酸—岩流动反应过程中,酸浓度下降和反应产物浓度升高对氢离子传质速度的影响。我们的研究发现,同离子效应对氢离子有效传质系数的影响较大,是一个不可忽视的重要影响因素。 本文在系统试验研究的基础上,给出不同浓度的盐酸和四川二迭系阳新灰岩反应时,氢离子有效传质系数与余酸浓度的关系曲线,用数理统计的方法,给出了无因次氢离子传质系数与无因次余酸浓度及流动雷诺数函数关系的经验方程。将此经验方程代入并求解变系数的对流扩散偏微分方程,即可获得考虑酸浓度变化和同离子效应时的酸液有效穿透距离的计算方法。也可用分段迭加计算法来近似计算这一距离。

 
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