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Bubble growth in viscous newtonian and non-newtonian liquids 粘性牛顿和非牛顿液体中的气泡生长
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(96)03119-3
Moshe Favelukis , Ramon J. Albalak

A model for the dynamics of hydrodynamically controlled spherical bubble growth in quiescent viscous newtonian and non-newtonian liquids is presented. Two constitutive equations were used to describe the behavior of the liquid medium: (1) a simple power law relation and (2) a truncated power law. Application of the truncated power law resulted in four differen cases: (a) at all times the liquid acts as a newtonian liquid; (b) at all times the liquid behaves as a simple power law liquid; (c) at all times the liquid close to the growing bubble obeys a power law relation and the liquid far away from the bubble behaves as a newtonian liquid; (d) all the liquid initially behaves as a newtonian liquid and at some time transforms to a two-region liquid. Analytical expressions were derived for bubble growth as a function of dimensionless system parameters. The relevance of this work to the process of polymer devolatilization is discussed.

建立了静态粘性牛顿和非牛顿液体中流体动力控制球形气泡生长的动力学模型。用两个本构方程来描述液体介质的行为:(1)简单幂律关系和(2)截断幂律关系。截断幂律的应用导致了四种不同的情况:(a)液体在任何时候都表现为牛顿液体;(b)液体在任何时候都表现为简单幂律液体;(c)在任何时候,靠近气泡的液体服从幂律关系,远离气泡的液体表现为牛顿液体;(d)所有液体最初表现为牛顿液体,并在某一时刻转变为双区液体。导出了气泡生长作为无因次系统参数函数的解析表达式。讨论了本研究与聚合物脱挥发过程的相关性。
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引用次数: 29
The effect of downcomer layout pattern on tray efficiency 降水管布置方式对塔板效率的影响
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(96)03112-0
E.F. Wijn

A multi-branch/multi-cell model has been developed and used to evaluate the tray efficiency of examples of distillation trays with different layouts of the downcomer areas. The multi-branch/multi-cell model predicts that the trays with different downcomer area distribution patterns to have a different tray efficiency. Hence, it can help in the identification of the most efficient downcomer layout pattern and in the quantification of the expected efficiency differences.

建立了一个多分支/多单元模型,并应用该模型对不同降塔区域布置的精馏塔板效率进行了评价。多支路/多单元模型预测不同降水塔板面积分布模式的塔板效率不同。因此,它可以帮助识别最有效的降水管布局模式和量化预期的效率差异。
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引用次数: 5
Flow characteristics and mixing properties in a high velocity liquid—solid loop reactor 高速液固环形反应器的流动特性与混合特性
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(96)03098-9
Wugeng Liang , Yong Jin , Zhiqing Yu , Zhanwen Wang , Jingxu Zhu , Jing Chen

Experiments were performed in liquid—solid loop reactor with a loop length of 14.45 m and an inner diameter of 90 mm under high velocity conditions. The variations in pressure gradient along the downflow, upflow and bend sections of the loop were investigated respectively. Pressure gradient in the downflow and upflow sections can be predicted with the model developed. The axial phase holdups are uniformly distributed along the loop. The liquid and solids velocities in the reactor are almost the same in the operating range tested. The axial dispersion coefficients of the liquid and solid phases were measured with the tracer injection response method and the dispersion coefficients of the solid and liquid phases are nearly the same. These characteristics make the liquid—solid system behave as a pseudo-homogeneous sytem and make the high velocity loop reactor easy to scale up. A commonly used correlation for axial dispersion substantially underestimated the axial dispersion coefficients.

实验在高速条件下,在环长14.45 m、内径90 mm的液固环形反应器中进行。分别研究了沿回路下行、上行和弯曲段压力梯度的变化规律。利用所建立的模型可以预测下、上两段的压力梯度。轴向相位保持率沿回路均匀分布。在测试的操作范围内,反应器内的液体和固体速度几乎相同。用示踪剂注入响应法测定了液、固两相的轴向分散系数,固、液相的轴向分散系数基本一致。这些特性使液固体系表现为准均匀体系,使高速环路反应器易于规模化。一种常用的轴向色散相关性大大低估了轴向色散系数。
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引用次数: 13
Subject index of volume 63 第63卷主题索引
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(96)85013-5
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引用次数: 0
Correlations for estimation of acid equivalents of regenerated humic acid 再生腐植酸酸当量估算的相关性
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(96)03099-0
Kedar Prasad Singh

The purpose of the present investigation is to establish a relation between acid equivalents and the atomic [O]/[C] ratio of regenerated humic acids. A linear relationship is found to exist between acid equivalents and atomic [O]/[C] ratio of regenerated humic acids. Correlation coefficients for equations relating acid equivalent produced by various methods (namely titration, ion-exchange and formulation of copper salt) with the atomic [O]/[C] ratio ranged between 0.91–1.00 on a dry-ash-free basis and 0.94–0.97 on a dry-mineral matter-free basis.

本研究的目的是建立酸当量与再生腐植酸的原子[O]/[C]比之间的关系。发现再生腐植酸的酸当量与原子[O]/[C]比之间存在线性关系。各种方法(即滴定、离子交换和铜盐配方)产生的酸当量方程与原子[O]/[C]比的相关系数在干无灰基础上为0.91-1.00,在干无矿物基础上为0.94-0.97。
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引用次数: 2
Anomalous effects in the flow behaviour of oil-in-water emulsions 水包油乳状液流动特性的异常效应
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(97)80002-4
Rajinder Pal

In this study the rheological data obtained for various differently concentrated oil-in-water emulsions from viscometers of different design and geometry are analysed and compared. The two types of viscometers used are a Fann coaxial cyclinder viscometer with different rotor-bob combinations and a Bohlin constant-stress rheometer with a cone-and-plate geometry. The results obtained from the two instruments for the same emulsions show large discrepancies. For example, the cone-and-plate measurements show strong shear-thickening (dilatant) behaviour in emulsions although no such effect is seen in the coaxial cylinder viscometer. The observed discrepancies in the measurements are explained in terms of the “creaming effect” in emulsions. While a small amount of creaming has little or no effect on the viscosity measurements in a coaxial cylinder geometry, it can have a large effect on the measurements in a cone-and-plate geometry.

本文分析比较了不同设计和几何形状的粘度计对不同浓度水包油乳剂的流变学数据。所使用的两种类型的粘度计是具有不同转子-鲍勃组合的范恩同轴圆柱体粘度计和具有锥-板几何形状的博林恒应力流变仪。两种仪器对同一种乳剂的测定结果差异很大。例如,锥形和平板测量显示出在乳剂中强烈的剪切增厚(膨胀)行为,尽管在同轴圆柱体粘度计中没有看到这种效果。在测量中观察到的差异可以用乳剂中的“乳化效应”来解释。虽然少量的奶油对同轴圆柱体几何形状的粘度测量几乎没有影响,但它对锥-板几何形状的测量却有很大的影响。
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引用次数: 3
Scale-up correlation for mass transfer coefficients in pulsed baffled reactors 脉冲折流板反应器传质系数的放大关联
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(96)03120-X
X. Ni, S. Gao

We report experimental measurements on air—water mass transfer characteristics in two pulsed baffled reactors in a scale-up format. The experiments have, for the first time, investigated the scale-up parameters involved in such reactors and identified the optimal baffle spacing and the optimal superficial gas velocity for enhanced mass transfer performance. The experimental results indicate that the mass transfer rate strongly depends on the combination of the baffle spacing, aeration rate and oscillation frequency and amplitude. The mass transfer data, corrected for temperature effect and oxygen probe responses, are correlated in terms of power density and superficial gas velocities to show the scale-up correlation for the pulsed baffled reactors where the mass transfer performance is better in a large diameter reactor than in a small diameter reactor.

我们报告了两个脉冲折流板反应器中空气-水传质特性的实验测量。该实验首次研究了此类反应器中涉及的放大参数,并确定了提高传质性能的最佳挡板间距和最佳表面气速。实验结果表明,传质速率与挡板间距、曝气率、振荡频率和振幅的组合关系密切。经温度效应和氧探针响应校正后的传质数据与功率密度和表面气体速度相关,表明脉冲折流板反应器的传质性能在大直径反应器中比在小直径反应器中更好。
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引用次数: 54
On the analysis of fine wet grinding in a batch ball mill 间歇式球磨机湿法细磨分析
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(96)03081-3
C. Frances , C. Laguérie , B. Mazzarotta , T. Veccia

The influence of the slurry density on the fine wet grinding performances of a batch ball mill was examined for an alumina hydrate feed. Irrespective of the operating conditions, the size reduction process proceeds fast in the first period of grinding (20 min); then its rate progressively reduces and after 1–2 h the size of the product approches a final asymptotic value. The initial grinding rate is higher and the final mean diameter smaller using quite diluted feeds (water content 50%–80%), which represent the optimal operating conditions. When the slurries are dense (20% water), the rate of the grinding process can be enhanced by adding a small amount (2–10 kg m−3) of a grinding aid (sodium metaphosphate), which improves the flowability of the suspension. The product size distributions can be adequately described using the Rosin—Rammler expression: an attempt was made to relate the characteristic size of the distribution to the time and to the water content.

以水合氧化铝为原料,研究了料浆密度对间歇式球磨机湿法细磨性能的影响。无论操作条件如何,在第一个磨矿阶段(20分钟),尺寸减小过程进行得很快;然后其速率逐渐减小,1-2小时后,乘积的大小接近最终的渐近值。在相当稀释的进给量(含水量50% ~ 80%)下,初始磨矿率较高,最终平均直径较小,为最佳操作条件。当浆料较密(水含量为20%)时,加入少量(2-10 kg m−3)助磨剂(偏磷酸钠)可提高悬浮体的流动性,从而提高研磨过程的速率。产品尺寸分布可以用松香-拉姆勒表达式充分描述:试图将分布的特征尺寸与时间和含水量联系起来。
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引用次数: 15
Author index of volume 63 第63卷作者索引
Pub Date : 1996-09-01 DOI: 10.1016/S0923-0467(96)85012-3
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引用次数: 0
Numerical simulations of mixing in an SMRX static mixer SMRX型静态混合器内混合的数值模拟
Pub Date : 1996-08-01 DOI: 10.1016/0923-0467(96)03093-X
Elizabeth S. Mickaily-Huber , François Bertrand , Philippe Tanguy , Thierry Meyer , Albert Renken , Franz S. Rys , Marc Wehrli

The present work focuses on the flow characteristics and mixing induced by Sulzer SMRX static mixers. It is observed both experimentally and numerically that pressure drop increases linearly with velocity for this mixer type and that, as expected, this effect is amplified when multiple mixers are placed in the flow field. It is further shown numerically that the slope of the pressure drop versus velocity curve increases for increasing internal mixer tube crossing angles. Moreover, it is found that mixing efficiency is a strong function of the internal tube crossing angle. Finally, analysis of the pressure drop results, particle patterns at the reactor outlet, streamlines, and the intensity of segregation suggests that the optimum configuration of an SMRX mixer is one with a 90° internal tube crossing angle. It also shows to what extent the use of two static mixers provide enhanced mixing compared to one.

本文主要研究了苏尔泽SMRX型静态混合器的流动特性和混合特性。实验和数值均观察到,这种混合器的压降随速度线性增加,并且正如预期的那样,当流场中放置多个混合器时,这种效应被放大。数值结果进一步表明,随着内混管交叉角的增大,压降-速度曲线的斜率增大。此外,还发现混合效率是内管交叉角的强函数。最后,对压降结果、反应器出口颗粒形态、流线和偏析强度的分析表明,SMRX混合器的最佳配置是内管交叉角为90°的混合器。它还显示了在多大程度上使用两个静态混合器提供增强的混合相比,一个。
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引用次数: 43
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The Chemical Engineering Journal and the Biochemical Engineering Journal
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