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Solution of hollow fibre bioreactor design equations for zero-order limit of Michaelis-Menten kinetics 中空纤维生物反应器零级极限Michaelis-Menten动力学设计方程的求解
Pub Date : 1993-06-01 DOI: 10.1016/0300-9467(93)80032-J
V.K. Jayaraman

The mass balance equations for hollow fibre bioreactors have been solved for the zero-order limit of the Michaelis-Menten kinetics. As in the case of first-order reactions, the membrane and spongy matrix equations can be decoupled from the overall set of equations. For the case of the substrate remaining constant everywhere in the reactor a solution in terms of hypergeometric series is possible. For the substrate exhaustion case the extinction radius is a non-linear function of the system parameters and thus the equations have to be solved by numerical methods.

求解了中空纤维生物反应器的质量平衡方程,得到了Michaelis-Menten动力学的零级极限。在一阶反应的情况下,膜和海绵状矩阵方程可以从整个方程组解耦。对于反应器中任何地方的底物都保持常数的情况,一个超几何级数的解是可能的。对于衬底耗尽情况,消光半径是系统参数的非线性函数,因此方程必须用数值方法求解。
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引用次数: 2
Author index of volume 51 第51卷作者索引
Pub Date : 1993-06-01 DOI: 10.1016/0300-9467(93)80033-K
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引用次数: 0
Temperature vs. time sequences to palliate deactivation in parallel and in series-parallel with the main reaction: parametric study 与主反应平行或串联平行的温度与时间序列缓和失活:参数化研究
Pub Date : 1993-06-01 DOI: 10.1016/0300-9467(93)80027-L
A.G. Gayubo, J.M. Arandes, A.T. Aguayo, M. Olazar, J. Bilbao

The calculation of temperature vs. time sequences to palliate catalyst deactivation in an integral reactor has been studied either by maintaining constant the conversion at the reactor outlet in a simple reaction or by maintaining constant the concentration of a given component at the outlet in a complex reaction system. The experimental systems studied, which are a simple one (dehydration of 2-ethylhexanol) and a complex one (isomerization of cis-butene), have kinetic models of the Langmuir-Hinshelwood-Hougen-Watson type for the main reaction and deactivation, with deactivation by coke dependent on the concentration of the reaction components. In the reaction of dehydration of 2-ethylhexanol deactivation occurs in parallel with the main reaction and in the isomerization of cis-butene deactivation occurs in series-parallel with the main reaction. A parametric study has been carried out for both reaction systems. The sequences calculated have been experimentally proven in an automated reaction apparatus.

通过在简单反应中保持反应器出口的转化率恒定或在复杂反应系统中保持出口给定组分的浓度恒定,研究了在整体反应器中减轻催化剂失活的温度与时间序列的计算。所研究的实验体系有一个简单的(2-乙基己醇脱水)和一个复杂的(顺丁烯异构化),主反应和失活的动力学模型为Langmuir-Hinshelwood-Hougen-Watson型,焦炭的失活取决于反应组分的浓度。在2-乙基己醇脱水反应中与主反应平行失活,在顺丁烯异构化反应中与主反应平行失活。对两种反应体系进行了参数化研究。所计算的序列已在自动反应装置上进行了实验验证。
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引用次数: 4
Modelling of solid-liquid adsorption: effects of adsorbent heterogeneity 固液吸附模拟:吸附剂非均质性的影响
Pub Date : 1993-06-01 DOI: 10.1016/0300-9467(93)80026-K
Anabela Leitão, Alírio Rodrigues

Effects of adsorbent heterogeneity on the adsorption of cobalt phthalocyanine dye on activated carbon have been studied. Adsorption experiments were carried out by varying the temperature and adsorbent mass in batch adsorbers and, in addition, the adsorbent particle size and fluid flow rate in a continuous stirred tank reactor (CSTR)-type adsorber in order to investigate the equilibrium and the kinetics of adsorption.

The Brunauer-Emmett-Teller (BET), Langmuir with uniform distribution (LUD) and Langmuir-Freundlich equations are able to represent the equilibrium data with similar accuracy within the range of measurements. Reasonably large values of the heterogeneity parameter (2.69–2.86) show that the carbon surface is energetically heterogeneous.

A mathematical model that describes the adsorption dynamics, including film-, pore- and concentration-dependent surface diffusion on an energetically and structurally heterogeneous adsorbent, is presented here and fitted to the experimental concentration vs. time curves obtained in the continuously stirred tank adsorber.

Structural heterogeneity of the carbon, if not accounted for in the kinetic model, can be responsible for the very strong concentration dependence of the surface diffusion coefficient and for the variation in the parameter Do with particle size and adsorber porosity as shown in this work.

研究了吸附剂不均匀性对活性炭吸附酞菁钴染料的影响。通过改变间歇式吸附器的温度、吸附剂质量、连续搅拌槽反应器(CSTR)型吸附器中吸附剂粒径和流体流速,对吸附平衡和吸附动力学进行了研究。brunauer - emmet - teller方程(BET)、Langmuir均匀分布方程(LUD)和Langmuir- freundlich方程能够在测量范围内以相似的精度表示平衡数据。较大的非均质参数值(2.69 ~ 2.86)表明碳表面具有能量非均质性。本文建立了一个数学模型,描述了吸附动力学,包括膜、孔和浓度依赖于能量和结构非均质吸附剂的表面扩散,并拟合了连续搅拌槽吸附器中获得的实验浓度与时间曲线。如果在动力学模型中没有考虑到碳的结构非均质性,则可以对表面扩散系数的非常强的浓度依赖性以及参数Do随粒径和吸附剂孔隙率的变化负责。
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引用次数: 3
Mixing in unstirred batch fermenters 在未搅拌的分批发酵罐中混合
Pub Date : 1993-06-01 DOI: 10.1016/0300-9467(93)80031-I
Ana I. García, Luis A. García, Mario Díaz

Beer fermentation carried out in a cylindrical laboratory fermenter was used to study mixing characteristics. The evolution of the values of different

采用圆柱形实验室发酵罐进行啤酒发酵,研究了啤酒的混合特性。价值观的演变不同
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引用次数: 14
Large-scale purification of Leuconostoc mesenteriodes NRRL B512F dextransucrase for use in the biosynthesis of dextran by batch and continuous chromatography 间歇式和连续色谱法大规模纯化介肠系膜Leuconostoc mesenteriodes NRRL B512F葡聚糖蔗糖酶用于葡聚糖的生物合成
Pub Date : 1993-06-01 DOI: 10.1016/0300-9467(93)80029-N
J.N. Ajongwen, A. Akitoye, P.E. Barker, G. Ganetsos , M.T. Shieh

The extracellular enzyme dextransucrase was produced from Leuconostoc mesenteriodes NRRL B512F and purified by ultracentrifugation and cross-flow ultrafiltration for use in the biosynthesis of the macromolecule dextran by ion exchange chromatographic reaction—separation techniques. The two-stage purification process yielded over 90% pure dextransucrase with overall enzyme recovery of over 60%. A second stage of centrifugation was required to achieve complete cell removal. The purified enzyme contained 1–2 g l−1 of solute ions, which affected the operation of the chromatographic system. Gel filtration removed over 93% of the remaining ions but resulted in high activity losses. Two-phase separation with polyethylene glycol (PEG) and purification by ion exchange chromatography were less successful in desalting the enzyme. PEG precipitation was successful in concentrating the enzyme, but the ions remained predominantly with the enzyme portion of the two phases. The purified enzyme was found to be unstable during storage.

Use of the enzyme in chromatographic reactor—separators for the production of dextran resulted in over 33% more high molecular weight dextran (the desired product) and a useful pure fructose byproduct being obtained than for a conventional reactor. Sodium and potassium ions in the enzyme hampered continuous operation by displacing calcium ions from the resin and thus reducing the separation efficiency of the system. Partial regeneration of the resin with calcium nitrate rather than complete enzyme desalting, which was very expensive and resulted in high activity losses, helped overcome this effect.

胞外酶葡聚糖蔗糖酶由Leuconostoc mesenteriodes NRRL B512F制备,经超离心和跨流超滤纯化,用于离子交换色谱反应分离技术合成大分子葡聚糖。两阶段纯化工艺得到的葡聚糖蔗糖酶纯度超过90%,总酶回收率超过60%。需要进行第二阶段的离心才能完全去除细胞。纯化后的酶含有1 ~ 2 g l−1的溶质离子,影响了色谱系统的运行。凝胶过滤去除了93%以上的剩余离子,但导致了高活性损失。聚乙二醇(PEG)两相分离和离子交换色谱纯化对酶的脱盐效果较差。聚乙二醇沉淀成功地浓缩了酶,但离子仍然主要与两相的酶部分。纯化后的酶在储存过程中发现不稳定。与传统反应器相比,在色谱反应器分离器中使用该酶生产葡聚糖可使高分子量葡聚糖(所需产品)和有用的纯果糖副产物增加33%以上。酶中的钠离子和钾离子通过取代树脂中的钙离子阻碍了连续操作,从而降低了系统的分离效率。用硝酸钙对树脂进行部分再生,而不是进行完全的酶脱盐,这有助于克服这种影响,因为完全的酶脱盐非常昂贵,而且会导致高活性损失。
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引用次数: 6
The estimation of kinematic viscosity of petroleum crude oils and fractions with a neural net 用神经网络估计石油原油及其馏分的运动粘度
Pub Date : 1993-06-01 DOI: 10.1016/0300-9467(93)80025-J
T.J. van der Walt, J.S.J. van Deventer, E. Barnard

This paper illustrates how a neural net, a three-layered perceptron, can be trained to estimate viscosities for undefined crude oils and fractions. Three Saudi-Arabian crude oils were employed to illustrate the use of the neural net to approximate the relation in a very simple manner with no need for a priori knowledge of the system. This empirical correlation was accurate to 98.74% if tested on experimental data not used during training, which is a fivefold improvement on average results obtained by two recently-proposed equations to estimate the viscosity of hydrocarbons. Although the neural net equation seems to be less transparent than former correlations, a method called backward analysis is proposed to analyze the weight matrix of the neural net in order to gain valuable insight into the viscosity system.

本文演示了如何训练一个神经网络,一个三层感知器,来估计未定义原油和馏分的粘度。三种沙特阿拉伯原油被用来说明使用神经网络以一种非常简单的方式来近似关系,而不需要先验的系统知识。如果在训练期间未使用的实验数据上进行测试,这种经验相关性的准确性达到98.74%,这比最近提出的两个估算碳氢化合物粘度的方程获得的平均结果提高了五倍。尽管神经网络方程似乎不如以前的相关关系透明,但提出了一种称为反向分析的方法来分析神经网络的权重矩阵,以获得对粘度系统有价值的见解。
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引用次数: 9
Subject index of volume 51 第51卷的主题索引
Pub Date : 1993-06-01 DOI: 10.1016/0300-9467(93)80034-L
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引用次数: 0
The order of micromixing and segregation effects on the biological growth process in a stirred-tank reactor 搅拌槽反应器中微混合和分离顺序对生物生长过程的影响
Pub Date : 1993-04-01 DOI: 10.1016/0300-9467(93)80020-O
M. Atiqullah, A.K.M.S. Rahman, S.A. Beg, M.M. Hassan

Depending on the hydrodynamic conditions, a stirred tank reactor may be divided into two micromixing environments: maximum mixing followed by complete segregation (case 1), or vice versa (case 2). The Ng—Rippin two-environment model simulates case 1, whereas the Fan reversed two-environment model covers case 2. The micromixing concepts of Danckwerts and of Zwietering have been applied to both models in terms of the degree of segregation J to evaluate the influence of the order of micromixing—segregation effects on biological growth processes. The model predictions for both endogeneous and exogeneous cell metabolism show that case 2 gives more substrate conversion and cell production than does case 1, for the same extent of micromixing, particularly at low dilution rates. At high dilution rates, both models predict the same reactor performance, independent of the micromixing phenomenon. The substrate conversion and cell production decrease with increasing dilution rate, following a similar trend. Further, the effects of micromixing are found to be strong functions of dilution rate. At high dilution rates for case 2, the micromixing effects are pronounced only when the reactor approaches complete segregation. However, for case 1, the effects are appreciable when the reactor deviates slightly from perfect mixing. For some intermediate dilution rates, the Fan model, unlike the Ng—Rippin model, shows that the reactor output decreases linearly with increasing degree of segregation. Beyond a critical value of the dilution rate, the reactor output falls linearly with dilution rate for exogeneous cell metabolism (case 2). On the contrary, for case 1, the output decreases exponentially throughout the entire range of dilution rates.

根据流体动力条件的不同,搅拌槽式反应器可以分为两个微混合环境:最大程度的混合之后是完全分离(情况1),反之亦然(情况2)。Ng-Rippin双环境模型模拟了情况1,而Fan反向双环境模型涵盖了情况2。在分离度J方面,我们将Danckwerts和Zwietering的微混合概念应用到这两个模型中,以评估微混合-分离效应的顺序对生物生长过程的影响。内源性和外源性细胞代谢的模型预测表明,对于相同程度的微混合,特别是在低稀释率下,情况2比情况1提供更多的底物转化和细胞生产。在高稀释率下,两种模型预测相同的反应器性能,不受微混合现象的影响。随着稀释率的增加,底物转化率和细胞产量下降,遵循类似的趋势。此外,发现微混合的影响是稀释率的强函数。在情况2的高稀释率下,只有当反应器接近完全分离时,微混合效应才明显。然而,对于情形1,当反应器稍微偏离完美混合时,影响是明显的。对于某些中间稀释率,与Ng-Rippin模型不同,Fan模型显示反应器输出随偏析程度的增加而线性降低。超过稀释率的临界值,外源细胞代谢的反应器产量随稀释率线性下降(案例2)。相反,对于案例1,在整个稀释率范围内,产量呈指数级下降。
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引用次数: 7
An expert system applied to the control of an industrial-scale bioreactor 应用于工业规模生物反应器控制的专家系统
Pub Date : 1993-04-01 DOI: 10.1016/0300-9467(93)80021-F
Zdenek Sterbacek, Jaroslav Votruba

Control of a fed-batch industrial-scale fermenter requires a large amount of “finger-tip feeling” on the part of operators, despite reasonably sophisticated instrumentation. The reason for this is that there are no applicable deterministic models giving aid to the control system in deciding the best operation strategies. This is a typical case of a heuristic experimental process, treating inexact knowledge that is excluded from deterministic and statistic modelling a priori. Essential parts of this problem can be solved by means of an expert system shell, capable of dealing with uncertain information, using the linguistic shell application. Knowledge was extracted from process records on fermentation batches producing baker's yeast on an industrial scale. A strategy for heuristically optimized yield and growth rate can be predicted using knowledge gained in previous runs and stored in the knowledge base of the expert system. The expert system, once built up, can also be used for experimental simulation of the effects of fundamental decision parameters: temperature, production rate, ethanol concentration and specific growth rate. The use of expert system consultations can be generally recommended as an efficient aid in fermentation control.

工业规模的进料批发酵罐的控制需要操作员大量的“指尖感觉”,尽管有相当复杂的仪器。其原因是没有适用的确定性模型来帮助控制系统决定最佳的运行策略。这是一个启发式实验过程的典型案例,处理排除在先验确定性和统计建模之外的不精确知识。这个问题的关键部分可以通过一个专家系统外壳来解决,它能够处理不确定信息,使用语言外壳应用程序。知识是从工业规模上生产面包酵母的发酵批次的过程记录中提取的。利用以前运行中获得的知识,可以预测启发式优化产量和生长速度的策略,并将其存储在专家系统的知识库中。专家系统一旦建立,还可以用于实验模拟基本决策参数的影响:温度、生产速率、乙醇浓度和比生长率。专家系统咨询的使用通常被推荐为发酵控制的有效辅助。
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引用次数: 8
期刊
The Chemical Engineering Journal
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