CFD simulation of oil–water separation characteristics in a compact flotation unit by population balance modeling

Huge amounts of produced water are generated in offshore oil production. The Compact Flotation Unit (CFU) is an excellent pretreatment technology of produced water with high separation efficiency, low residence, and small split ratio. The Computational Fluid Dynamics-population balance model (CFD-PBM) method is used in the present work to study the oil–water separation characteristics in the self-developed Beijing Institute of Petrochemical Technology Compact Flotation Unit (BIPTCFU) at both micro-scale and macro-scale, which would help us gain more insights into the mechanism and the influence of flow field on the oil–water separation process such as the oil droplets’ diameter distribution and separation efficiency. The effects of the inlet diameter, the height of the preliminary separation zone, and the width of the annular space on the oil–water separation characteristics of CFU were discussed systematically. It is illustrated that the appropriate increase of inlet velocity, decrease of annular gap width, and increase of the height in the preliminary separation zone can effectively promote the collision and coalescence process of oil droplets. However, the overlarge height of the preliminary separation zone and the too narrow width of the annular space will both have a significant negative effect on the migration and separation of oil and water and lead to the decrease of separation efficiency.     

板翅式换热器封条质量对瞬变法配比的影响及其修正

当换热面试件中带有封条或其他必须考虑横向导热效应的材料时,这部分材料的质量是否要计入换热面介质的质量,计入多少,将对现有的瞬变传热试验配比结果产生较显著的影响。本文求得了封条质量修正系数的近似分析解,并给出了修正系数图,可以准确、方便地得到参与换热、需要计入换热面质量的那部分封条质量的份额。对封条质量影响进行实验研究的结果表明,这一封条质量修正的计算方法是可靠的。     

“混用体系”中型砌块墙片有限元弹塑性分析

本文采用有限元法对伪静力试验所做的中型砌块墙片进行弹塑性分析计算，砌体中的灰缝单元采用了接触面单元。对“混用体系”中型砌块墙片中芯柱的作用进行了探讨和研究，并提出了一些设计建议。     

两个度量空间中集值映象的不动点定理

本文证明了两个度量空间集值映象的一个不动点定理,另一个关于紧度量空间的类似结果也被证明。     

Subseries Convergence and Unconditionally Convergence of Compact Operator Series

Let(E,r)bealocallyconvexHausdorfftopologicalvectorspace.AseriesZxiinEissaidtobesubseriesr-convergent(-s.c.),ifforeachstrictlyincreasingsequence{n,}inN,theseriesZx"'isT-convergent.TheseriesZx,issaidtobeunconditionallyr-convergent(r-u.c.),ifforeachpermutationffofN,theseriesZx,<,,ls.,r-convergence.rheseriesZx,issaidtobesubseriesunconditional1yT-convergent(r-s.u.c.)ifforeachstrictlyincreasingseqtience{n,}inN,theseriesZx.,isunconditionallyr-convergent.If(E,r)isasequentiallycompletespace,thenT…     

Fuzzy dynamical systems

A fuzzy dynamical system on an underlying complete, locally compact metric state space X is defined axiomatically in terms of a fuzzy attainability set mapping on X. This definition includes as special cases crisp single and multivalued dynamical systems on X. It is shown that the support of such a fuzzy dynamical system on X is a crisp multivalued dynamical system on X, and that such a fuzzy dynamical system can be considered as a crisp dynamical system on a state space of nonempty compact fuzzy subsets of X. In addition fuzzy trajectories are defined, their existence established and various properties investigated.     

On the Green Function for a Complement of a Finite Number of Real Intervals

We give a new proof (and a generalization) of recent remarkable result by V. Totik concerning the smoothness properties of the equilibrium measure for compact subsets of the real line and the Green function for complement of these subsets taken with respect to the complex plane.     

一种新型介质透镜的优化设计方法

利用几何光学法设计优化了一种新型的用于紧缩场测试的介质透镜。以发射点到接收点的光程差为目标函数 ,对透镜的照亮面轮廓进行优化 ,得出其函数表达式 ,使得在± 2 0°扫描角范围内 ,被测系统接收到的为近似的平面波。最后将有透镜校正与没加透镜的情况进行计算比较 ,可以看出校正效果明显。     

Compact sets of compact operators in absence of

We characterize the compactness of a subset of compact operators between Banach spaces when the domain space does not have a copy of

     

A geometric characterisation of resonance in Hopf bifurcation from relative equilibria

We give a new characterisation of resonance in Hopf bifurcation from relative equilibria in systems with compact symmetry group. This characterisation provides a full geometric explanation of the resonance phenomenon. In addition, we develop techniques based on normal form theory to give a complete solution to the associated bifurcation problem.