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对流扩散
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  convection-diffusion
     A Mixed Euler-Lagrange Method for the Numerical Solution of Convection-Diffusion Equation
     对流—扩散型方程数值解的混合E—L方法
短句来源
     Numerical Solution to an Inverse Problem of Boundary Condition Control for Convection-Diffusion Equations by PST-Optimization
     用脉冲谱—优化法求解对流—扩散方程边界条件控制反问题
短句来源
     FOURIER-CHEBYSHEV PSEUDOSPECTRAL APPROXIMATION FOR CONVECTION-DIFFUSION EQUATION IN TWO DIMENSION
     二维对流—扩散方程的Fourier-Chebyshev拟谱逼近
短句来源
     To solve numerical dissipation and dispersion in numerical solution of convection-diffuson equation, a numerical procedure for simulating the convection-diffusion movement has been developed. The procedure is based on a governing equation which can be divided into Euler type convection equation and Lagrange type diffusion equation.
     为解决对流—扩散型方程数值解中出现的数值耗散和数值弥散,本文通过质点导数概念,将物理方程分解为Euler形式下的对流型方程和Lagrange形式下的扩散型方程,采用特征线法和区域离散数值方法分别求解,二者合成即为对流一扩散运动的整体数值模拟过程。
短句来源
     Through simulating a concrete example of two-dimension convection-diffusion,the convenience and efficiency of MATLAB was also expounded.
     通过编程计算一个具体的二维稳态导热的例子 ,阐述了在对流—扩散问题中使用MATLAB可以提高工作效率 ,有利于方便快捷地解决问题。
短句来源
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  “对流—扩散”译为未确定词的双语例句
     A Couvective--Diffusion Flood Wave Model and Its Calculation
     对流—扩散洪水波模型及其计算
短句来源
     Based on the convection-diffuse equation, a numerical-simulation system of urban vehicle emissions is built, which simulated the diffuse of vehicle emiss ions by 50-metre grid.
     以对流—扩散方程为模型 ,采用 5 0m网格的高分辨率对城市中汽车尾气排放所造成的污染分布状况进行模拟 ,建立了一个高分辨率城市交通污染数值仿真系统。
短句来源
     This paper is devoted to the development of stabilized finite element methods by empolying local bubble functions for adveetive-diffusive models which has the form σu+a·(?) u-k△u =f. We show this methodology is stable independent of σ or Peclet-number and its globle optimal convergence order,from the problem with a=0 or σ=0.
     本文针对形如σu+α·u-kΔu=f对流—扩散型的模型问题,发展耦合局部bubble-函数的有限元方法,我们就α=0和σ=0两种情形证明了方法的与“影响因素”σ和pedlet-数无关稳定性及全局最佳收敛阶。
短句来源
     At present, the methods of calculating pollution load are approximately classified as the sum of each section load, product of section average concentration and section water amount, sum ofload distributing frequency and convection-diffuseness model.
     目前对污染负荷的估算方法有分时段负荷之和、时段平均浓度与时段水量之积、负荷频率分布之和、对流—扩散模式等四种类型。
短句来源
     In order to solve the two-point boundary value problems of one-dimensional steady diffusion-convection equation with large Peclet number,a numerical method using the arc length of the solution aa a parameter has been presented in this paper. It has been successfully applied to solve some difficult problems with boundary layer shock layer and air-pocket using the shooting technique (single or multi-segments).
     为了求解大Peclet数下的一维定常对流—扩散方程的两点边值问题,本文提出了一种以解曲线的弧长为参数的数值解法,成功地应用初值问题的打靶方法(单段或多段)解决了边界层型、激波型和气袋型等困难问题的数值计算问题.
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
     A Class of Difference Schemes for Solving Diffusion-Convection Equation
     求解扩散对流方程的一类格式
短句来源
     A Hopscotch Scheme for Solving Diffusion-Convection Equation
     求解扩散对流方程的跳点格式
短句来源
     A Couvective--Diffusion Flood Wave Model and Its Calculation
     对流扩散洪水波模型及其计算
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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  convection-dispersion
The convection-dispersion processes, by which the crest of mound is flatted and moved shoreward at the same time, are generated by the present numerical model very well.
      
Moreover, two solute transport models [convection-dispersion equation model (CDE) and two-site non-equilibrium model (TSN)] were used to simulate heavy metal movement in soil on a laboratory column scale.
      
Three models of convection-dispersion equation (CDE), transfer functional model (TFM) and Back-Progation Network (BP Network) were used to simulate the transportation process of bromide ion.
      
Mean flow velocity and vertical dispersion were estimated by an analytical best-fit method using one-dimensional convection-dispersion model.
      
The model accounts for heat transport by diffusion and by convection, while the modeling of the displacement of nitrate and ammonium in the soil is based on the convection-dispersion equation.
      
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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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