A New Solution to Boltzmann Equation of Dilute Solid-liquid Two-phase Flows with Homotopy Analysis Method 低浓度固液两相流Boltzmann方程的同伦分析方法解
Let me now try and introduce the Boltzmann equation because it basically gives us a much deeper appreciation than diffusion theory can in terms of what's going on. 我现在尝试介绍波尔兹曼方程,因为它给你们一个比扩散理论,更深刻的理解,在解释,发生的事情方面。
And the flux in the Boltzmann Equation is represented as, and I will not repeat it every time, location, energy, direction and time. 在波尔兹曼方程方程的流量是,表现的是,我不会每次都重复一遍,位置,能量,方向,时间。
Based on the Boltzmann equation and the stochastic theory of fluctuations, such apphcabihty of local equilibrium assumption to reaction-diffusion processes is studied. 本文从玻耳兹曼方程和涨落的随机理论出发重新研究了局域平衡假设对反应&扩散过程的适用性。
This is called the Boltzmann equation. 它就是玻尔兹曼公式。
A model equation of the Boltzmann equation for binary gas mixtures is deduced in this article. 本文提出一种二元混合气体玻耳兹曼方程式的模型方程式。
The Green's Function Method for Initial-Boundary Value Problem of Boltzmann Equation Boltzmann方程初边值问题的Green函数方法
The Steady State of Dissipative Boltzmann Equation 耗散Boltzmann方程的稳定态解
The Steady State of Dissipative Boltzmann Equation A Novel Method for Solving Ill-Conditioned Linear System: Augmented System Method 耗散Boltzmann方程的稳定态解病态线性方程组新解法:增广方程组法
The analysis on the entropy equation shows that the BGK Boltzmann equation meets the entropy condition strictly, implying that the BGK method meets the entropy condition. 通过对熵方程分析表明,BGK波尔兹曼方程严格满足熵条件,从而阐释了BGK模拟方法满足熵条件。
A 2D diffusion equation describing fluid flow in double porosity medium is derived from the lattice Boltzmann collision model. The Lattice Boltzmann equation, Chapman-Enskog expansion and multiscale technique are used in the derivation. 我们从格子波耳兹曼碰撞模型出发,利用格子波耳兹曼方程、Chapman-Enskog展开,以及多尺度技术,得到了描述双重孔隙介质中流体迁移的二维扩散方程。
Theory and Applications of the Boltzmann Equation Boltzmann方程的理论和应用
N the generalized Boltzmann equation of a relativistic magnetized plasma, the contribution of radiation forces between charged particles on the collision term cannot be neglected. The analytic expressions of collision term is derived in this paper. 在相对论磁化等离子体内,粒子间辐射电场力对广义玻耳兹曼方程中碰撞项的贡献不能忽略.本文导出了这个碰撞项的解析表式。
The basic Boltzmann equation in reference is improved. 改进了文献中报导的Boltzmann基本方程。
This model equation satisfies the macroscopic conservation equations of mass, total momentum, and total energy, satisfies the H theorem, and possesses the same solutions as the Boltzmann equation in both molecular flow and viscous flow limits. 此模型方程式满足宏观的质量、总动量和总能量守恒方程式,满足H定理,并且在分子流和粘性流两个极限情况下给出与玻氏方程式相同的解答。
The author suggests another model equation of the Boltzmann equation. 本文中提出玻氏方程式的另一种模型方程式。
Based on previous works, the lattice Boltzmann equation model in rotational flow field is developed by introducing the Coriolis force. 在原格子Boltzmann模型研究的基础上,引入了哥氏力效应,发展了一个旋转流场中的格子Boltzmann模型。
Based on the BGK Boltzmann equation, a 2-D numerical model for open channel flows, which satisfies the entropy condition, is established by employing the finite volume method. 以BGK波尔兹曼方程为基本方程,利用有限体积离散方法,建立了满足熵原理的二维明渠非恒定水流的BGK数值模型。
In this paper, we use a kind of singular perturbation method to find the normal solution of the Boltzmann equation with small Knudsen number. It is proved that the secular terms may be removed by improving the Hilbert expansion and Enskog expansion. 本文用奇异扰动方法讨论了具有小Knudsen数的Boltzmann方程的正规解,证明把Hil-bert展开和Enskog展开加以改进可以消除久期项。
This paper presents a Galerkin variational problem of the nonstationary Boltzmann equation by using spectrum method, difference method and variational principle. The uniqueness of the solution of the variational problem is solved. 本文利用谱方法、差分法和变分原理的结合给出了非稳态Boltzmann方程的一种Galerkin变分问题,证明了变分问题解的存在唯一性。
The interrelationship between different transport models based on the Boltzmann equation is also given. 本文也给出基于玻尔兹曼方程的不同输运模型之间的相互关系。
Thus instead of Boltzmann equation this model equation may be approximately used to discuss the motion of gases in the transient region between molecular flow and viscous flow Iimits. 因此可以近似地用此模型方程式代替玻氏方程式讨论介于分子流和粘性流之间的过渡区的气体运动情况。
A recently developed CFD method, lattice Boltzmann equation ( LBE) model method is applied to simulate the movement of barotropic atmosphere. 用一种新近发展起来的、基于统计力学的计算流体力学方法&格子Boltzmann方法模拟了正压大气的运动。
The electron mean energy in O2 and its mixtures was obtained by solving Boltzmann equation, and the effects of gas mixture have been studied. 通过求解Boltzmann方程的方法,计算了纯氧以及混合气体中的电子能量,讨论了气体成分和气体比例的影响。
And its forward problem can be equivalent to solve the Boltzmann equation. 其前向问题可以等价于求解Boltzmann传输方程的问题。
We will firstly discuss about derivation of the shear viscosity via variational method in the Boltzmann equation. 我们首先讨论了如何通过Boltzmann方程和变分法得到剪切粘滞系数。
The Boltzmann equation is an important model in the kinetic theory of gases. Boltzmann方程是气体运动论中的重要模型。
For the unique mesoscopic standpoint, Boltzmann equation attracted more and more attention. Boltzmann方程因其独特的介观观点而受极大的关注,亦成为本文数值计算的理论基础。
The essential of forward problem is the particle transport problem, which is equivalent to solving the Boltzmann equation. 其中,前向问题的实质是粒子的输运问题,等价于Boltzmann传输方程的求解。