Optimal design of n membrane reactors in series using michaelis-menten kinetics

Exact analytical expressions are derived for the optimal design (minimum overall reaction volume) of N perfectly mixed membrane reactors in series carrying out an enzyme catalysed reaction with Michaelis-Menten kinetics. These equations enable the direct calculation of the smallest total reactor volume (holding time) needed for a given overall conversion degree, as well as the individual reactor volume and conversion degrees. Results are compared with the ones obtained with a series of N CSTRs and with a plug flow reactor. The theoretical superiority of membrane reactors versus CSTRs is demonstrated.     

流化催化裂化反应器的技术进展

介绍并讨论了近期开发的流化催化裂化反应器,包括两段串联反应器、双提升管反应器、下行式反应器、多段进料反应器以及新型提升管反应器端口结构技术。以新型反应器为核心技术的各种催化裂化新工艺可以有效地提高催化裂化反应的转化率和选择性,减少非理想产品产率,也可以改善产品质量,生产环境友好的清洁燃料油品。此外新型提升管反应器端口结构还可以抑制设备结焦,延长流化催化裂化(FCC)装置的开工周期。     

Gas absorption with zero-order chemical reaction in a foam-bed reactor

A mathematical model for oxidation of aqueous alkaline solution of sodium dithionite using air as an oxidizing medium in a foam-bed reactor has been developed under pseudo-zero-order conditions of reaction and was found to be in good agreement with the experiments. Reactor conditions were 30°C at atmospheric pressure and surfactant used in the foam contactor was octyl phenoxy polyethoxyethanol (Triton X-100). The results of simulation for concentration profiles of the dissolved gas-phase reactant inside foam film based on above model are presented for different gas flow rates, reaction rates, and times of contact. The effects of variables such as superficial gas velocity and initial liquid-phase reactant concentration on conversion are also studied and compared with experiments on oxidation of sodium dithionite. The results indicate that the conversion increases with the increase in the superficial air velocity and initial dithionite concentration. The model predicts the experimentally obtained conversions reasonably well.     

Modeling gas absorption accompanied by chemical reaction in bubble column and foam-bed slurry reactors

The published data in the literature and the reported models on foam-bed reactors have been reanalyzed. It is observed that the models have been developed assuming negligible conversion in the storage section although the storage constitutes 65–85% of the total volume of liquid/slurry charged into the reactor. For confirmation of the reported information, in the present work, experiments have been performed in foam-bed and bubble column slurry reactors for carbonation of hydrated lime slurry using carbon-dioxide gas under identical conditions. A comparison of the relative performances of the two reactors has been made. Storage section is found to be the main section governing the performance of the foam-bed slurry reactor. New mathematical models have been developed for both the reactors. The model predictions agree well with the experimental data.     

多级串联等体积全混流反应器与平推流反应器的等效性研究——以二级不可逆反应为例

在多级串联全混流反应器中针对二级不可逆反应,推导出第N级串级反应器的出口浓度表达式.为与平推流反应器进行比较,引人反应器的相对效率,在平推流反应器中一定的转化率条件下,考察反应速率常数和反应物初始摩尔比大于1的情况下对串联级数的影响.通过实例计算,得出随着相对效率的增大,串联反应器级数随之增大.而当串联级数达到5时,相...     

Optimal design of continuously stirred membrane reactors in series using Michaelis-Menten kinetics with competitive product inhibition: theoretical analysis

Analytical expressions were derived for the optimal design (based on the minimum of the volume of the total number of reactors) of N continuously stirred membrane reactors (CSMRs) performing the enzyme-catalyzed reaction described by Michaelis-Menten kinetics with competitive product inhibition. The influence of membrane selectivity for both substrate and product on the total dimensionless residence time of the reactors (overall volume) was determined. The optimal design of N CSMRs (variable volume reactors) was compared with equal volume membrane reactors required to achieve the same degree of substrate conversion. The effect of kinetic and operating parameters on the performance of membrane reactors was determined. Optimization results show that membrane reactors are superior to continuously stirred tank reactors (CSTRs) in series at a high substrate rejection coefficient and low product rejection coefficient, high substrate conversion and using a small number of reactors. Also a high dimensionless Michaelis-Menten constant, high dimensionless inhibition constant and low substrate concentration in the feed to the first reactor improved the performance of the membrane reactors vs. CSTRs in series. The reduction in total volume of the optimal membrane reactors compared to CSTRs in series was up to 86% for the conditions in this work. A comparison between the optimum and equal volume design of membrane reactors in series showed no major difference in total volume between the two design criteria at a practical range of operating conditions. A volume reduction up to 16% was observed for the conditions in this work.     

Simultaneous absorption of two gases accompanied by a complex chemical reaction: approximate solutions

Approximate solutions to the problem of simultaneous absorption of two gases in a liquid accompanied by a complex chemical reaction have been presented based on the film theory. Two approximate profiles, a nonlinear exponential profile and a trigonometric profile, for the concentration of each of the gaseous species in the film have been used in analysing the problem. The complex scheme considered is:

For the exponential case two approximations have been considered: [1] in which the higher order terms are included, and [2] in which the higher order terms are neglected.The results obtained using the two profiles have been compared with numerical solutions for the film theory in the range of

from 1 to 3. The results show that both the approximations yield solutions close to the numerical, in particular case [1] of the exponential approximation. Some special cases have then been considered followed by a discussion of an industrially important system: simultaneous absorption of ethylene and chlorine in water to give ethylene chlorohydrin.     

多级串联等体积全混流反应器与平推流反应器等效性研究——以二级可逆反应为例

在多级串联全混流反应器中,在等温等容条件下给出了二级可逆反应第Ⅳ级反应器的出口浓度表达式.讨论了在相同操作条件下,达到平推流反应器的转化率所需要的等体积串联全混流反应器的级数Ⅳ;主要考察了正反应速率常数k1、平衡常数K、反应物初始浓度之比M、停留时间τ等因素对N的影响,得出了N与正反应速率常数k1、相平衡常数K以及停留...     

Analysis of gas absorption accompanied by a zero-order chemical reaction in a liquid-foam film surrounded by limited gas pockets

Gas absorption accompanied by a zero-order chemical reaction in a finite liquid-foam film has been analysed to obtain expressions for the amount of gas absorbed and for fractional absorption in such a film. These equations may be readily incorporated into a single-stage model of a foam-bed reactor to extend it to chemisorption with zero-order kinetics. The equations for physical absorption result naturally from a special case.     

化学清洗在氢化反应系统中的应用

新装置投用前,非常有必要对其进行彻底的的清洗,这是保证整套装置能够顺利开车并生产出合格产品的一个非常重要的前提条件。本文介绍了氢化反应系统在装置改造后进行化学清洗的一个方法。     

Gas absorption accompanied by an instantaneous irreversible reaction in laminar falling films of pseudoplastic liquids

Gas absorption accompanied by an instantaneous irreversible chemical reaction into laminar falling films of power-law liquids was studied theoretically. The convective-diffusion equations for a solute gas and a liquid-phase reactant were solved numerically and the numerical solution for the reaction factor was obtained as a function of the Graetz number, the concentration ratio, the diffusivity ratio and the power-law index of the liquid.     

Effect of surface resistance arising due to surfactant on gas absorption accompanied by a chemical reaction in a foam-bed-reactor

On the basis of an idealized foam bed, a model to predict conversion in a foam-bed-reactor containing surfactant has been developed. The model takes into account the effect of surface resistance, arising due to the presence of a surface active agent, on gas absorption accompanied by a chemical reaction in a foam matrix. To verify the theory, experiments have been carried out in a semi-batch foam-bed-reactor for the absorption of air-carbon dioxide mixture in a foam of sodium hydroxide solution containing finite; concentrations of different surfactants. The surface resistance offered by the molecules of surfactant at the gas-liquid interface reduces the mass transfer rates significantly. The proposed model predicts fairly well the experimentally found depletion values of sodium hydroxide.     

Effect of surface resistance on gas absorption accompanied by a chemical reaction in a gas—liquid contactor

An analysis of gas absorption accompanied by chemical reaction in the presence of interfacial resistance is presented. The analysis indicates that the effect of interfacial resistance on interphase mass transfer is significantly higher in presence of a reaction compared to the pure absorption case. For fixed values of surface resistance and contact time, the difference between the amount of gas transferred across the interface with and without surface resistance increases as the value of reaction velocity increases. For ranges of contact time and surface resistance of practical relevance, the influence of surface resistance is too high to be neglected while designing gas-liquid contactors.     

Current problems in the modelling of chemical reactors

Modelling of chemical reactors is reviewed with an emphasis on process development and scale-up. A distinction is made between modelling of chemical kinetics, of rate processes in volume elements and of whole reactors. Examples are mainly taken from papers presented at the Sixth International Symposium on Chemical Reaction Engineering. Special attention is given to the modelling of single phase reactors, fixed beds, trickle beds, fluid beds, and gas bubble reactors.     

Analysis of deactivation disguised kinetics in transport reactors by periodic operation

Deactivation disguised kinetic schemes in an isothermal transport reactor are differentiated by means of periodic operation of the reactor. A periodic rectangular pulse is assumed for the inlet concentration. Three numerical examples are given to demonstrate that the deactivation disguised kinetic models give different conversions under periodic operation.     

化学反应体系的多定态特性

化学反应体系的多定态特性是化学反应体系存在的固有特性。近年来,对它的研究已成为化学反应工程研究的热门课题。本文对化学反应体系的多定态特性的研究进展,特别是对化学反应器、催化剂题粒的多定态特性及其理论研究模型和实验研究成果进行了评述,指出了今后研究工作的发展方向。     

Modeling for the catalytic coupling reaction of carbon monoxide to diethyl oxalate in fixed-bed reactors: Reactor model and its applications

A two-dimensional (2D) pseudo-homogeneous reactor model was developed to simulate the performance of fixed-bed reactors for catalytic coupling reaction of carbon monoxide to diethyl oxalate. Reactor modeling was performed using a comprehensive numerical model consisting of two-dimensional coupled material and energy balance equations. A power law kinetic model was applied for simulating the catalytic coupling reaction with considering one main-reaction and two side-reactions. The validity of the reactor model was tested against the measured data from different-scale demonstration processes and satisfactory agreements between the model prediction and measured results were obtained. Furthermore, detailed numerical simulations were performed to investigate the effect of major operation parameters on the reactor behavior of fixed bed for catalytic coupling reaction of carbon monoxide to diethyl oxalate, and the result shows that the coolant temperature is the most sensitive parameter.