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71.
Polydisperse suspensions consist of particles differing in size or density that are dispersed in a viscous fluid. During sedimentation, the different particle species segregate and create areas of different composition. Spatially one-dimensional mathematical models of this process can be expressed as strongly coupled, nonlinear systems of first-order conservation laws. The solution of this system is the vector of volume fractions of each species as a function of depth and time, which will in general be discontinuous. It is well known that this system is strictly hyperbolic provided that the Masliyah–Lockett–Bassoon (MLB) flux vector is chosen, the particles have the same density, and the hindered-settling factor (a multiplicative algebraic expression appearing in the flux vector) does not depend on the particle size but is the same for all species. It is the purpose of this paper to prove that this hyperbolicity result remains valid in a fairly general class of cases where the hindered-settling factor does depend on particle size. This includes the common power-law type hindered-settling factor in which the exponent, sometimes called Richardson–Zaki exponent, is determined individually for each species, and is a decreasing function of particle size. The importance of this paper is two-fold: it proves stability for a class of polydisperse suspensions that was not covered in previous work, and it offers a new analysis of real data. 相似文献
72.
The particle migration effects and fluid–particle interactions occurring in the flow of highly concentrated fluid–particle suspension in a spatially modulated channel have been investigated numerically using a finite volume method. The mathematical model is based on the momentum and continuity equations for the suspension flow and a constitutive equation accounting for the effects of shear‐induced particle migration in concentrated suspensions. The model couples a Newtonian stress/shear rate relationship with a shear‐induced migration model of the suspended particles in which the local effective viscosity is dependent on the local volume fraction of solids. The numerical procedure employs finite volume method and the formulation is based on diffuse‐flux model. Semi‐implicit method for pressure linked equations has been used to solve the resulting governing equations along with appropriate boundary conditions. The numerical results are validated with the analytical expressions for concentrated suspension flow in a plane channel. The results demonstrate strong particle migration towards the centre of the channel and an increasing blunting of velocity profiles with increase in initial particle concentration. In the case of a stenosed channel, the particle concentration is lowest at the site of maximum constriction, whereas a strong accumulation of particles is observed in the recirculation zone downstream of the stenosis. The numerical procedure applied to investigate the effects of concentrated suspension flow in a wavy passage shows that the solid particles migrate from regions of high shear rate to low shear rate with low velocities and this phenomenon is strongly influenced by Reynolds numbers and initial particle concentration. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
73.
Marta Grochowicz Andrzej Bartnicki Barbara Gawdzik 《Journal of polymer science. Part A, Polymer chemistry》2008,46(18):6165-6174
Synthesis and properties of the new difunctional methacrylate monomer 2‐hydroxy‐3‐methacryloyloxypropoxybenzene are presented. This monomer was applied for the synthesis of porous microspheres. It was copolymerized with trimethylolpropane trimethacrylate in the presence of two pairs of pore‐forming diluents dodecane and toluene, and n‐decanol and toluene. Influence of diluents composition on their porous structures was studied. Thermal resistance and tendency to swell in different organic diluents for a chosen sample were also determined. © 2008 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 46: 6165–6174, 2008 相似文献
74.
A kind of center positioning method of the circular interference fringe patterns was reported in this paper. The whole process was programmed by Matlab for processing the gray-scale images without denoising preprocessing and binary format transformation. The gradient vector field (GVF) based on a complex-valued cost function was used to extract the skeletons of circular interference fringe patterns, and the coordinate of the center was calculated by statistical method in which partial skeletons were selected to calculate the center according to the space topological relationship. Finally, subpixel accuracy and perfect anti-noise ability of the proposed method are demonstrated by the simulation and experimental fringe patterns, respectively. Thus the technique can be used in precision measurement and fine interferometry. 相似文献
75.
This paper presents a design of hillside vehicle power chassis with the balance rocker suspension mechanism. The objective of design is to achieve a variable ground clearance, variable wheel track and self-leveling chassis adapted to the various types of crop grown ridge section and height. The V2-HVPC design consists of the main body, the balance rocker suspension, two driving axles and the steering system. Those assemblies form an H-type chassis structure where both sides of the driving axle and the main body are connected to power transmission. The ground clearance and wheel track have the adjustable function. The balance rocker suspension is a novel mechanism which ensures full-time four-wheel drive in a complex road environment while maintaining the main body level always in the angle bisector of the two driving axle. According to the hillside terrain and agronomic characteristics of various crops, the ground clearance and the wheel track can be adjusted continuously and smoothly by hydraulic system. The topology diagram and power transmission system diagram are all given correspondingly. Moreover simulation analysis and basic experiments have been carried out to verify the mobility and dynamic performance of the V2-HVPC. The results show that the concept of V2-HVPC is approved reasonable and the design and testing methods are feasible and practical. 相似文献
76.
研究了具有牵引悬置装置的精密仪器设备半挂运输列车的振动问题,建立了14 自由度的动力学模型并进行振动模态分析, 在此基础上,计算了某典型半挂运输列车在有阻尼和无阻尼情况下的固有频率和振型. 相似文献
77.
实体肿瘤血管具有扩张、扭曲、不规则分支以及分支间连接絮乱等特征. 为了考察这些特征对血液流动的影响,将肿瘤血管简化为垂直相互贯通的微血管网,借助微流体实验装置,以一定浓度的红细胞悬液作为流动介质,研究红细胞在微血管网中的流动和分布特性. 具体实验方案如下:首先,采用软刻蚀技术,在聚二甲基硅氧烷(polydimethylsiloxane, PDMS)上加工出微血管网;然后,采用微注射泵控制微血管网入口处的红细胞悬液流量,使用倒置显微镜和高速摄影系统观察并记录实验过程;最后,通过Matlab 软件包Piv-lab 及高速摄影配套软件对获得的视频图像进行处理,提取红细胞在微血管网中的流动和分布数据. 数据处理结果显示,红细胞在微血管网中的流动和分布特性受悬液内的红细胞压积(hematocit, Hct)的影响. 红细胞随悬液Hct 的不同呈现2 种运动轨迹:一种为仅沿着轴向微管道流动;另一种是从轴向微管道流入并穿过径向微管道,再进入另一侧的轴向微管道. 另外,入口流量相同时,红细胞在微血管网中的流动速度随Hct 变化呈现不同,Hct 为3% 和5% 的红细胞速度要明显高于Hct 为1% 的红细胞速度. 相似文献
78.
静电支承球形转子的恒速控制 总被引:8,自引:4,他引:4
高钟毓 《中国惯性技术学报》2000,8(3):42-47
本讨论静电支承球形转子的恒速控制问题。首先,介绍静电支承系统的基本工作原理,其次,建立静电支承系统的动力学模型。第三,分析采用PID控制器的支承刚度,第四,阐述形成静电旋转力矩的原理。最后,提出利用静电力恒速的方案与基本限制条件。 相似文献
79.
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