共查询到20条相似文献,搜索用时 20 毫秒
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S.Wasuwanich N.Jinuntuya P.Petpirom 《计算物理》2003,20(3):199-204
主要对耐腐蚀聚合药物基体上药物的整个释放过程进行解析和数值研究.数学模型为基于Fick第二法则的边值问题,分为状态Ⅰ和Ⅱ.状态Ⅰ为具有移动性扩散波头的Stefan问题,而当此扩散波头消失时,即开始状态Ⅱ.该研究工作可作为数值研究更加复杂系统的基础之一. 相似文献
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分形油藏非牛顿幂律流体低速非达西不稳定渗流的组合数学模型 总被引:9,自引:1,他引:8
结合分形理论与渗流理论,对分形油藏非牛顿幂律流体低速非达西不稳定渗流的试井分析问题的数学模型进行了推导.该分形油藏模型由内域为非牛顿幂律流体低速非达西渗流,外域为非牛顿幂律流体达西渗流的同心圆域组成.在考虑井筒储存、表皮效应影响下,建立了该油藏的不稳定渗流有效井径组合数学模型,在3种外边界条件下求出了两个区域内压力在Laplace空间的解析解,应用Stehfest数值反演方法求得井底的无因次压力,分析了井底压力动态特征和参数影响.非牛顿幂律流体的幂律指数、分形参数均对典型曲线产生较大的影响,呈现出与牛顿流体和均质油藏明显不同的特征.这对非均质油藏非牛顿流体的不稳定试井分析及研究其非线性渗流特征均十分重要. 相似文献
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A simple model for the numerical determination of separation effects in seeded atomic gas flows is presented. The model is based on the known possibility to provide a statistically convergent estimate of the exact solution for a linear transport equation using the test particle Monte Carlo method. Accordingly, the flow field of the main gas is preliminary calculated and as a second step the linear transport equations obtained by fixing the target distribution in the collision term of the Boltzmann equation for both main and minority components are solved. Both solutions are based on appropriately devised test particle Monte Carlo methods. The second step, the critical one in evaluating the separation effects, is exact and thereby completely free of numerical diffusion. The model is described in details and illustrated by 2D test cases of atomic separation in shock fronts. 相似文献
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Thermal diffusion of dopants is investigated in the process of generating the graded-index profile of plastic optical fibres. Because the diffusion coefficient in high polymers has been shown to depend strongly on dopant concentration, it is allowed in this work to vary with the radial coordinate of the multistep-core fibre. A novel multi-layer model is presented for solving the diffusion equation with the variable diffusion coefficient. It is solved by the finite difference method. The solution determines the dopant diffusion profile in the fibre. It is verified against a solution from the literature and two cases of fibres with diffused profiles. The application is demonstrated on two examples of graded-index plastic optical fibres, one originally with a two-step and the other with four-step core. The results indicate that closer to the core-cladding interface, the computed diffused profile with variable diffusion coefficient D is closer to target profile than the profile obtained with constant D for the same time of thermal process. 相似文献
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In this work the problem of diffusion in a multiphase system whose both boundaries move in one direction according to the
parabolic law with different velocities is analysed. The mathematical problem is solved exactly by means of thermal potentials
of a double layer. The solution of the diffusion equation in the proximity to the boundary was derived and the concentration
gradients on these boundaries were calculated. The numerical procedure of determining the diffusion characteristics from experimental
concentration gradients on the phase boundaries was presented. As the zero approximation the result of calculations according
to Vasileff and Smoluchowski, that can lead to considerable differences in the determined diffusion coefficients, was used.
theory
numerical calculations 相似文献
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In this work the problem of diffusion in the definite diffusion field whose one boundary is fixed and the other — interphase
boundary — moves in time according to the parabolic law. The mathematical problem is solved exactly by means of thermal potentials
of a double layer. The solution of the diffusion equation in the proximity to the boundary was derived and the concentration
gradients on these boundaries were calculated. The numerical procedure of determining the diffusion characteristics from experimental
concentration gradients on the phase boundaries was presented. As the zero approximation the result of calculations according
to Wagner’s solution was used.
Theory.
Numerical calculations. 相似文献
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自驱动Janus微球是形状规则但表面构成不同的特殊活性颗粒. 针对微米级Pt-SiO2型Janus 微球近壁面自驱动现象, 实验测得了微球的自驱动速度VJanus, 并观察到微球运动过程中与垂直方向存在一偏转仰角ψ, 且ψ角随H2O2溶液浓度的增大呈减小趋势. 在此基础上, 建立自驱动Janus微球的数值模型, 通过模拟得到了微球在不同浓度H2O2溶液中的偏转仰角ψ及距底面的高度δ, 模拟与实验一致. 利用这些数据进一步讨论了壁面效应对微球旋转特征时间τR的影响. 这一工作对于理解Janus 微球的运动机理及发展相关应用具有重要意义. 相似文献
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目前, 轻水堆堆芯计算广泛采用基于横向积分技术的中子扩散方程节块展开法, 该方法需要对横向泄漏进行多项式近似而不严格, 而且堆芯设计还需要额外的精细功率重构模块用于获得组件内各栅元的功率分布。本文提出两维广义横向积分方法, 直接采用源展开以及表面流耦合方法, 可以避免上述两个不足。由于反应堆堆芯不均匀性更多发生在径向, 因此采用径向基于广义横向积分方法结合轴向常规节块法的综合方法进行三维中子扩散计算。通过基准问题的数值计算, 验证了该方法对于堆芯扩散计算的正确性和可行性。 相似文献
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基于D1Q4可压缩格子Boltzmann模型,按照流通矢量分裂方法的思路,采用坐标旋转技术构造求解三维带化学反应Navier-Stokes方程对流通量求解器.结合有限体积法求解三维化学非平衡流Navier-Stokes方程,采用时间算子分裂算法解决化学反应刚性问题,数值模拟超声速化学非平衡流的三个经典算例.数值结果表明:在高马赫数下,采用D1Q4可压缩格子Boltzmann模型构造的三维对流通量求解器数值模拟中没有出现非物理解,同时在超声速化学非平衡流场中正确分辨激波、燃烧波等物理现象,精度和分辨率均较高,验证了本文构造的三维对流通量求解器的可靠性,拓宽了D1Q4可压缩格子Boltzmann模型的应用范围,为计算超声速化学非平衡流提供一种新方法. 相似文献
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Tomoya Wada Alena Sudholt Heinz Pitsch Norbert Peters 《Combustion Theory and Modelling》2013,17(5):906-936
The combustion chemistry of the first stage ignition and chemistry/flow interactions are studied for dimethyl ether (DME) with a mathematical analysis of two systems: a plug flow reactor study is used to reduce the reaction chemistry systematically. A skeletal reaction mechanism for the low temperature chemistry of DME until the onset of ignition is derived on the basis of the detailed DME mechanism of the Lawrence Livermore National Laboratory – see Curran, Fischer and Dryer, Int. J. Chem. Kinetics, Vol. 32 (2000). It is shown that reasonably good results for ignition delay times can be reached using a simple system of three ordinary differential equations and that the resulting analytical solution depends only on two reaction rates and the initial fuel concentration. The stepwise reduction of the system based on assumptions yields an understanding on why these reactions are so important. Furthermore, the validation of the assumptions yields insight into the influence of the fuel and the oxygen concentration on the temperature during the induction phase. To investigate the influence of chemistry/flow interactions, a 2D model with a laminar Hagen–Poiseuille flow and 2D-polynomial profiles for the radial species concentration is considered. For the 2D model, it is found that only the diffusion coefficients and the reactor radius need to be taken into consideration additionally to describe the system sufficiently. Also, the coupling of flow and chemistry is clarified in the mathematical analysis. The insight obtained from the comparison of the 2D model and the plug flow model is used to establish an average velocity for the conversion of ignition locations to ignition delay times in a laminar flow reactor. Finally, the 2D analytical solution is compared against new experimental data, obtained in such a laminar flow reactor for an undiluted DME/air mixture with an equivalence ratio of φ = 0.835 and a temperature range of 555 to 585 K at atmospheric pressure. 相似文献
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