Existence, uniqueness and stability of the equilibrium points of a SHARON bioreactor model

This paper addresses the dynamics of a SHARON reactor, a promising technology for ammonium removal from concentrated wastewater streams. The contraction mapping theorem is used to determine which operating conditions of a SHARON reactor with pH-control result in a unique equilibrium state. However, this approach only identifies the case of very large dilution rates, in practice corresponding with complete biomass wash-out, i.e. with complete loss of biological activity. Practical operation of a SHARON reactor aims at reaching ammonium conversion to nitrite. To identify such interesting operating points, the equilibrium points are subsequently calculated directly in terms of input variables for a simplified SHARON reactor model. The stability of the obtained equilibrium points is assessed and the corresponding phase portraits are analyzed. The influence of slightly varying parameter and input values is investigated as well.     

可控环量船用翼的数值模拟和试验研究

本文提出一种可控环量船用翼数值模拟方法,其计算结果与最近Mclachlan的试验数据十分吻合。通过本文的计算,对广泛引用的Kind ＆ Maull的二维试验数据提出了修正。根据本文所作的三维可控环量帆翼的试验结果,与二维计算值的比较,指出它们之间所存在的显著差别。     

清水冲刷河床粗化数学模型

本文建立了大坝下游清水冲刷河床粗化一维数学模型。该模型考虑了非均匀推移质不平衡输移,并引入混合层模式用于模拟河床组成的变化。利用Preissmann隐式格式求解水流方程组,用显式格式求解河床变形方程及床沙级配调整方程。该模型侧重于模拟河床粗化过程,也能用于河床一维变形计算。利用我们做过的清水冲刷水槽实验资料对模型进行了全面的验证,取得了令人满意的结果。     

应用吸水剖面资料确定吸水层动态残余油饱和度的方法

基于岩心长期注水试验资料，认识到吸水层的残余油饱和度的变化是一个缓慢减小的过程。文章给出了动态残余油饱和度的概念，提出了利用吸水剖面测井资料来确定动态残余油饱和度的方法。通过现场实测资料的解释，建立了动态残余油饱和度与吸水层每米累计吸水量的定量关系，为剩余油分布研究提供新思路。     

油气输导体系的类型及配置关系

将输导体系划分为储集层输导体系、断裂输导体系和不整合输导体系3大类，8种类型，指出输导体系的时空配置关系是决定油气藏的重要因素；着重阐明了输导层在空间和时间上的配置关系，认为这些配置关系是影响输导体系有效性的重要因素；提出了运移级次性的概念，讨论了划分运移级次对油气运移研究的意义，指出准噶尔盆地西北缘邻近玛湖以储集层输导体系和不整合输导体系为主．边缘地区以断层输导体系为主。浅层油气成藏期主要取决于断层的活动期。     

Fixed point theorems on fuzzy normed linear spaces

In this paper, definitions of strongly fuzzy convergent sequence, l-fuzzy weakly convergent sequence and l-fuzzy weakly compact set are given in a fuzzy normed linear space. The concepts of fuzzy normal structure, fuzzy non-expansive mapping, uniformly convex fuzzy normed linear space are introduced and fixed point theorems for fuzzy non-expansive mappings are proved.     

An efficient return algorithm for non-associated plasticity with linear yield criteria in principal stress space

An efficient return algorithm for stress update in numerical plasticity computations is presented. The yield criterion must be linear in principal stress space and can be composed of any number of yield planes. Each of these yield planes may have an associated or non-associated flow rule. The stress return and the formation of the constitutive matrix is carried out in principal stress space. Here the manipulations simplify and rely on geometrical arguments. The singularities arising at the intersection of yield planes are dealt with in a straightforward way also based on geometrical considerations. The method is exemplified on non-associated Mohr–Coulomb plasticity throughout the paper.     

Stretchable Gold Tracks on Flat Polydimethylsiloxane (PDMS) Rubber Substrate

A process to fabricate stretchable gold tracks on silicone rubber substrates is studied by XPS, static water contact angle measurement, AFM, and SEM. The process involves several steps: removing uncured oligomers by hexane Soxhlet extraction; pre-stretching the substrate; activating the strained silicone surface by an oxygen plasma treatment; coating the strained substrate with 5 nm titanium and 80 nm gold layers; and finally releasing the sample. The plasma treatment creates a thin brittle silica-like layer that temporarily increases the substrate's surface energy. Indeed, the plasma treatment is followed by a hydrophobic recovery. As a consequence, the delay between plasma treatment and metal deposition has to be reduced as much as possible. The silica-like layer can be nicely observed after release. The entire process allows us to obtain stretchable metallized samples that remain conductive even after an excessive deformation leading to electrical failure.