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DEM simulation of biomass pyrolysis in a novel interconnected screw reactor 新型互连螺杆反应器中生物质热解的DEM模拟
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-12-22 DOI: 10.1515/ijcre-2022-0171
Wentao Ou, Tong Liu, Chen Wang, R. Xiao, Dewang Zeng
Abstract A novel interconnected screw reactor was proposed to convert biomass to bio-oil and bio-char in this study. This reactor is expected to achieve direct heating of pyrolysis feedstocks and increase the reactor processing capacity through the recycling of biochar between the inner and outer screw. Here, we simulated the biomass particle flow and reaction process in this interconnected reactor by an extended discrete element method (DEM), the effect of char circulation on the reactor temperature distribution and the product yields are investigated. The results show that the char circulation increased the heating rate of biomass. At the inner and outer screw speed of 10 rpm and 1 rpm, the char circulation can reach 5.15 kg/h and the average temperature of biomass under the char circulation is about 30 °C higher than that without char circulation. The reaction simulation results show that at 500 °C, the yield of char, bio-oil and non-condensable gas are 18.9%, 40.6% and 40.5% respectively. The predicted product yields of char, bio-oil and non-condensable gas are also in good agreement with the experimental measurements.
摘要本研究提出了一种新型的互连螺杆反应器,用于将生物质转化为生物油和生物炭。该反应器有望实现热解原料的直接加热,并通过内外螺杆之间的生物炭回收来提高反应器的处理能力。在这里,我们通过扩展离散元法(DEM)模拟了该互联反应器中生物质颗粒的流动和反应过程,研究了焦炭循环对反应器温度分布和产物产率的影响。结果表明,焦炭循环提高了生物质的加热速率。在10 rpm和1 rpm的内外螺杆转速下,焦炭循环可达到5.15 kg/h,焦炭循环下生物质的平均温度比没有焦炭循环的生物质高约30°C。反应模拟结果表明,在500°C下,焦炭、生物油和不凝性气体的产率分别为18.9%、40.6%和40.5%。预测的焦炭、生物油和不凝性气体的产物产率也与实验测量结果吻合良好。
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引用次数: 0
Enhanced mechanical stirring by eccentric impeller stirring system in zinc hydrometallurgy process for cadmium removal 离心叶轮搅拌系统在湿法炼锌除镉工艺中的强化机械搅拌
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-12-15 DOI: 10.1515/ijcre-2022-0148
Wenjie Li, Shibo Wang, Hua Wang, Chunlin Li, Y. Zhai, Jianxin Xu, Q. Xiao
Abstract The fluid in the reactor can be poorly mixed, so an eccentric impeller is proposed to improve the fluid mixing efficiency. In this investigation, numerical simulations and cadmium removal experiments for the purification of zinc sulfate solution were conducted. The effect of eccentric impellers on the purification efficiency was discussed. The mechanism of the effect of concentric and eccentric arrangement of stirring impellers on mixing in the stirred tank was elucidated. The results showed that the average axial velocity of the eccentric impeller stirring system (EIS) was 131.52% of that of the concentric stirring system (CS) and 134.23% of that of the eccentric stirring system (ES). In the purification and removal of cadmium in the zinc hydrometallurgy experiment, unit ion purification energy was introduced to quantify the energy consumed for each 1% of Cd2+ removed. The eccentric impeller shortens the reaction time by 40% and reduces the reaction energy consumption by 31.8% compared to the non-eccentric impeller. Compared to CS and ES, EIS disrupts the periodicity of fluid flow and facilitates the destruction of isolated mixing regions. EIS can enhance mechanical stirring to improve purification efficiency.
摘要反应器中的流体可能混合不好,因此提出了一种偏心叶轮来提高流体混合效率。在本研究中,对硫酸锌溶液的净化进行了数值模拟和除镉实验。讨论了离心叶轮对净化效率的影响。阐述了搅拌桨同心和偏心布置对搅拌槽内混合的影响机理。结果表明,离心叶轮搅拌系统(EIS)的平均轴向速度是同心搅拌系统(CS)的131.52%,是偏心搅拌系统(ES)的134.23%。在锌湿法冶金实验中净化和去除镉的过程中,引入了单位离子净化能量来量化每去除1%的Cd2+所消耗的能量。与非偏心叶轮相比,偏心叶轮将反应时间缩短了40%,反应能耗降低了31.8%。与CS和ES相比,EIS破坏了流体流动的周期性,并有助于破坏孤立的混合区域。EIS可以增强机械搅拌,提高净化效率。
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引用次数: 0
Enhanced dual-DOF PI-PD control of integrating-type chemical processes 集成型化工过程的增强双自由度PI-PD控制
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-12-12 DOI: 10.1515/ijcre-2022-0156
D. Das, S. Chakraborty, G. Raja
Abstract A dual-degree of freedom (dual-DOF) propor-tional-integral proportional-derivative (PI-PD) controller is developed for integrating-type chemical processes with delay. The interior-loop PD controller is designed based on user-defined gain and phase margin. For designing the external-loop PI controller, the moment-matching method is augmented with maximum sensitivity specifications. The suggested design is suitable for chemical processes like continuously stirred tank reactors, boiler steam drums, heat exchangers and distillation columns. Using benchmark models of the aforementioned processes, the closed-loop system outputs and control signals are compared to vindicate the primacy of the suggested dual-DOF PI-PD controller. To study the performance-robustness trade-off of this design, rigorous perturbation analysis is also carried out. The performance improvement achieved by the suggested dual-DOF PI-PD controller is also quantitatively compared with contemporary works.
摘要针对具有时滞的积分型化工过程,提出了一种双自由度比例积分微分控制器。基于用户定义的增益和相位裕度设计了内环PD控制器。为了设计外环PI控制器,在矩匹配方法的基础上增加了最大灵敏度指标。建议的设计适用于化学工艺,如连续搅拌釜式反应器、锅炉汽包、热交换器和蒸馏塔。使用上述过程的基准模型,对闭环系统的输出和控制信号进行了比较,以证明所提出的双自由度PI-PD控制器的首要性。为了研究该设计的性能鲁棒性权衡,还进行了严格的扰动分析。并将所提出的双自由度PI-PD控制器所实现的性能改进与当代工作进行了定量比较。
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引用次数: 7
Ammoniacal leaching behavior and regularity of zinc ash 锌灰的氨浸行为及规律
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-12-05 DOI: 10.1515/ijcre-2022-0087
Hailin Long, X. Tan, Shufang Ni, Aiyuan Ma, Shiwei Li, De‐qing Zhu
Abstract In this work, a new hydrometallurgical process was developed to treat zinc ash produced from the hot galvanizing industry. The theoretical analysis shows the feasibility of dissolving zinc ash in the NH3–NH4Cl–H2O system, and the dissolution products are predominantly composed of Zn (NH3)4 2+. The impacts of different experimental conditions were examined, and the leaching ratio of zinc was as high as 96.4% under the conditions of NH3/NH4 + ratio of 1:1, liquid/solid of 9:1, total ammonia concentration of 8 mol/L and the stirring speed of 250 rpm at 313 K for 120 min. The kinetics of the leaching process were investigated and the calculated apparent activation energy was approximately 4.69 kJ/mol, which indicated that the zinc ash leaching process was controlled by diffusion-controlled. As revealed by the determination of impurity ions, on one hand, there were fewer impurities in the leaching solution, and the concentrations of Fe2+ and Pb2+ in solution are less than 0.02 mg/L and 0.05 mg/L respectively; on the other hand, there was no need for further impurity removal in this process. The proposed process has a certain application value in treating zinc ash.
摘要本工作开发了一种新的湿法冶金工艺来处理热镀锌工业产生的锌灰。理论分析表明,在NH3–NH4Cl–H2O体系中溶解锌灰是可行的,溶解产物主要由Zn(NH3)4 2+组成。考察了不同实验条件的影响,在NH3/NH4+比为1:1、液固比为9:1、总氨浓度为8mol/L、搅拌速度为250rpm、温度为313K、搅拌时间为120min的条件下,锌的浸出率高达96.4%。对浸出过程的动力学进行了研究,计算出的表观活化能约为4.69kJ/mol,表明锌灰浸出过程受扩散控制。杂质离子的测定表明,一方面浸出液中杂质较少,溶液中Fe2+和Pb2+的浓度分别小于0.02mg/L和0.05mg/L;另一方面,在该工艺中不需要进一步去除杂质。该工艺在处理锌灰方面具有一定的应用价值。
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引用次数: 2
Experimental study on the combustion characteristics of blends of sugarcane bagasse, Nanning meager-lean coal and petroleum coke 甘蔗渣与南宁贫煤、石油焦共混物燃烧特性的实验研究
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-12-01 DOI: 10.1515/ijcre-2022-0179
Ge Xiong, Yong Zhang, Baosheng Jin
Abstract Multi-fuel operation of the coal-fired boiler is considered as a promising option for boiler reformation to reduce carbon emissions while recycling solid waste. In this work, co-combustion characteristics of sugarcane bagasse, Nanning meager-lean coal and petroleum coke under different conditions were investigated in detail. And the interaction between raw materials was analyzed. Finally, the kinetic parameters were estimated by using the first-order response model. The results show that differences in petroleum coke content affect the appearance of weight loss peaks in the DTG curve. When the proportion of sugarcane bagasse is between 40 and 60%, the ignition and burnout characteristic indexes are particularly sensitive to variations in sugarcane bagasse content. Additionally, the interaction between the three raw materials is promoted as the proportion of petroleum coke is less than 40%. The kinetic analysis suggests that the increase of heating rate is conducive to the precipitation of volatiles, but there is an optimal heating rate for the fixed carbon combustion stage. The change of particle size combination has little effect on the activation energy of the volatile fraction combustion stage. This study provides a reference to ensure the stable and high-efficient operation of the coal-fired boilers during the multi-fuel combustion.
摘要燃煤锅炉的多燃料运行被认为是锅炉改造的一个很有前途的选择,以减少碳排放,同时回收固体废物。详细研究了甘蔗渣、南宁贫煤和石油焦在不同条件下的共燃特性。并分析了原料之间的相互作用。最后,利用一阶响应模型对动力学参数进行了估计。结果表明,石油焦含量的差异影响了DTG曲线中失重峰的出现。当甘蔗渣的比例在40%至60%之间时,点燃和燃尽特性指标对甘蔗渣含量的变化特别敏感。此外,当石油焦的比例低于40%时,促进了三种原料之间的相互作用。动力学分析表明,加热速率的增加有利于挥发物的沉淀,但固定碳燃烧阶段存在最佳加热速率。颗粒尺寸组合的变化对挥发性馏分燃烧阶段的活化能影响不大。本研究为保证燃煤锅炉在多燃料燃烧过程中的稳定高效运行提供了参考。
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引用次数: 0
A study on the adsorption property and mechanism of β-cyclodextrin/polyvinyl alcohol/polyacrylic acid hydrogel for ciprofloxacin β-环糊精/聚乙烯醇/聚丙烯酸水凝胶对环丙沙星的吸附性能及机理研究
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-11-28 DOI: 10.1515/ijcre-2022-0089
Jintao Tian, Hongyu Zhang, Xinyu Zhao, W. Liu, Yasser Fakhri
Abstract Polyvinyl alcohol (PVA), acrylic acid (AA), and β-cyclodextrin (β-CD) were used as monomers, and ammonium persulfate was used as an initiator. Orthogonal tests were optimized the experimental condition, and aqueous polymerization was used to prepare poly-β-cyclodextrin/polyvinyl alcohol/polyacrylic acid (β-CD/PVA/PAA) hydrogel. The samples were characterized by FT-IR (Fourier transform infrared), SEM (Scanning electron microscopy), and XRD (X-ray diffraction). β-CD/PVA/PAA hydrogel was analyzed, which influenced external environmental factors on the β-CD/PVA/PAA hydrogel adsorption performance, and the kinetic behavior of β-CD/PVA/PAA hydrogel on ciprofloxacin (CIP) adsorption was explored. The results concluded that the prepared β-CD/PVA/PAA hydrogel has a well-defined three-dimensional network structure. The decrease in the pH of the CIP solution and the adsorption temperature reduces the adsorption reaction of β-CD/PVA/PAA hydrogel on CIP. The kinetics of CIP adsorption by β-CD/PVA/PAA hydrogel confirmed the pseudo-second-order kinetic model (R2 > 0.997), the maximum equilibrium adsorption amounts is 372.12 mg/g, the removal rate reaches 74.42%. The adsorption process was mainly chemisorption, the adsorption isotherm fits the Freundlich adsorption isotherm model (R2 > 0.946), and the adsorption process was heterogeneous with multi-molecular layer adsorption. The adsorption process inclined more toward the adsorption of inhomogeneous multi-molecular layers. The β-CD/PVA/PAA hydrogel retained 80% adsorption properties after three adsorption-desorption under optimal conditions.
摘要以聚乙烯醇(PVA)、丙烯酸(AA)和β-环糊精(β-CD)为单体,过硫酸铵为引发剂。通过正交试验优化了实验条件,采用水性聚合法制备了聚β-环糊精/聚乙烯醇/聚丙烯酸(β-CD/PVA/PAA)水凝胶。通过FT-IR(傅立叶变换红外光谱)、SEM(扫描电子显微镜)和XRD(X射线衍射)对样品进行了表征。分析了外部环境因素对β-CD/PVA/PAA水凝胶吸附性能的影响,探讨了β-CD/PVA/PAA水凝胶对环丙沙星(CIP)的吸附动力学行为。结果表明,制备的β-CD/PVA/PAA水凝胶具有良好的三维网络结构。CIP溶液pH值和吸附温度的降低降低了β-CD/PVA/PAA水凝胶在CIP上的吸附反应。β-CD/PVA/PAA水凝胶对CIP的吸附动力学证实了拟二阶动力学模型(R2>0.997),最大平衡吸附量为372.12mg/g,去除率达到74.42%。吸附过程主要为化学吸附,吸附等温线符合Freundlich吸附等温线模型(R2>0.946),吸附过程为多分子层非均相吸附。吸附过程更倾向于不均匀的多分子层的吸附。在最佳条件下,经过三次吸附-解吸,β-CD/PVA/PAA水凝胶保持了80%的吸附性能。
{"title":"A study on the adsorption property and mechanism of β-cyclodextrin/polyvinyl alcohol/polyacrylic acid hydrogel for ciprofloxacin","authors":"Jintao Tian, Hongyu Zhang, Xinyu Zhao, W. Liu, Yasser Fakhri","doi":"10.1515/ijcre-2022-0089","DOIUrl":"https://doi.org/10.1515/ijcre-2022-0089","url":null,"abstract":"Abstract Polyvinyl alcohol (PVA), acrylic acid (AA), and β-cyclodextrin (β-CD) were used as monomers, and ammonium persulfate was used as an initiator. Orthogonal tests were optimized the experimental condition, and aqueous polymerization was used to prepare poly-β-cyclodextrin/polyvinyl alcohol/polyacrylic acid (β-CD/PVA/PAA) hydrogel. The samples were characterized by FT-IR (Fourier transform infrared), SEM (Scanning electron microscopy), and XRD (X-ray diffraction). β-CD/PVA/PAA hydrogel was analyzed, which influenced external environmental factors on the β-CD/PVA/PAA hydrogel adsorption performance, and the kinetic behavior of β-CD/PVA/PAA hydrogel on ciprofloxacin (CIP) adsorption was explored. The results concluded that the prepared β-CD/PVA/PAA hydrogel has a well-defined three-dimensional network structure. The decrease in the pH of the CIP solution and the adsorption temperature reduces the adsorption reaction of β-CD/PVA/PAA hydrogel on CIP. The kinetics of CIP adsorption by β-CD/PVA/PAA hydrogel confirmed the pseudo-second-order kinetic model (R2 > 0.997), the maximum equilibrium adsorption amounts is 372.12 mg/g, the removal rate reaches 74.42%. The adsorption process was mainly chemisorption, the adsorption isotherm fits the Freundlich adsorption isotherm model (R2 > 0.946), and the adsorption process was heterogeneous with multi-molecular layer adsorption. The adsorption process inclined more toward the adsorption of inhomogeneous multi-molecular layers. The β-CD/PVA/PAA hydrogel retained 80% adsorption properties after three adsorption-desorption under optimal conditions.","PeriodicalId":51069,"journal":{"name":"International Journal of Chemical Reactor Engineering","volume":"21 1","pages":"753 - 765"},"PeriodicalIF":1.6,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46909741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance evaluation of adaptive based model predictive control for ethylene glycol production from dimethyl oxide hydrogenation 基于自适应模型预测控制的环氧二甲酯加氢制乙二醇性能评价
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-11-22 DOI: 10.1515/ijcre-2022-0085
F. S. Rohman, Muhammad Syafiq Sulaiman, M. N. Murat, N. Aziz
Abstract Advance process control is a proven control and optimization technology delivering measurable and sustainable improvements in production yield, coupled with the added value of energy savings. In this work, an adaptive based model predictive control (aMPC) is developed and implemented to control the hydrogenation of dimethyl oxide to ethylene glycol (EG) in a plug flow reactor. The aMPC is compared with 3 other control schemes; proportional-integral (PI), decoupled PI (dPI) and linear model predictive control. The aim is to determine the reliability of aMPC in controlling the production rate and reactor temperature for an optimized hydrogenation reactor. The aspects compared include set point tracking, disturbance rejection and robustness test. The analysis concludes that the aMPC offers the best overall performance compared to the other control schemes.
先进的过程控制是一种成熟的控制和优化技术,可在生产产量方面提供可衡量和可持续的改进,同时还具有节能的附加价值。在这项工作中,开发并实现了一种基于自适应的模型预测控制(aMPC)来控制塞流反应器中氧化二甲酯加氢制乙二醇(EG)的过程。将aMPC与其他3种控制方案进行了比较;比例积分(PI)、解耦PI (dPI)和线性模型预测控制。目的是确定aMPC在优化加氢反应器中控制生产速率和反应器温度的可靠性。比较的方面包括设定值跟踪、抗干扰和鲁棒性测试。分析表明,与其他控制方案相比,aMPC具有最佳的综合性能。
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引用次数: 0
Influence of blast volume on hot blast distribution rule around the hearth circumferentially 风量对炉膛周向热风分布规律的影响
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-11-17 DOI: 10.1515/ijcre-2022-0135
B. Liu, Yuman Che, Ben-hui Shi, Hai-feng Li, Jin-lin Lu
Abstract Based on Ansteel’s new No. 5 blast furnace (BF), the distribution rule of hot blast on the circumference of blast furnace hearth under different blast volume was studied. The results show that, the blast volume distribution rule is similar under different blast volumes, that is, there are four regions with large blast volumes at the 0°, 90°, 180° and 270° positions of the bustle pipe. Under different blast volumes, the difference of blast volume near 90° and 270° is close to 0, which has a minor effect on the uneven distribution of gas flow and circumferential asymmetry of packed bed in BF. However, the blast volume of the tuyere near the 180° is always larger than that of the tuyere near 0°, and with the increase of blast volume from 4600 to 5000 nm3/min, this difference keeps increasing, 0.69 to 0.95 nm3/min. This phenomenon will lead to an increase in the coke consumption on the 180° side, and cause a higher descending velocity of coke than that on the 0° side, this difference increases from 0.39 to 0.54 m, which could further result in the unevenness of blast volume distribution and the circumferential asymmetry of packed bed in BF. Comparing with the actual production in Ansteel, the results obtained in this work are in good agreement with the phenomenon in practical production.
摘要以鞍钢新5号高炉为例,研究了不同风量下高炉炉底周长热风分布规律。结果表明:不同爆破体积下的爆破体积分布规律相似,即在奔流管0°、90°、180°和270°位置存在4个爆破体积较大的区域;不同风量下,90°和270°附近的风量差接近于0,对高炉内气流分布不均匀和填料床周向不对称影响不大。而180°附近风口的风量始终大于0°附近风口的风量,且随着风量从4600 ~ 5000nm3 /min的增加,差异不断增大,达到0.69 ~ 0.95 nm3/min。这种现象会导致180°侧焦炭消耗量增加,导致焦炭下降速度比0°侧大,从0.39 m增大到0.54 m,进一步导致高炉内鼓风体积分布不均匀和填料床周向不对称。与鞍钢实际生产相比较,所得结果与实际生产中的现象吻合较好。
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引用次数: 0
The degradation of an aromatic organic compound by Aspergillus niger var tubingensis Ed8 produces metabolites that reduce Cr (VI) 黑曲霉(Aspergillus niger var tubingesis Ed8)对芳香族有机化合物的降解产生减少Cr(VI)的代谢产物
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-11-15 DOI: 10.1515/ijcre-2022-0074
M. Lizardi-Jiménez, Álvaro Marín-Hernández, A. Tomasini-Campocosio, A. Coreño-Alonso
Abstract Chromium Cr(VI) is a highly toxic environmental contaminant for any organism, its presence in the environment is mainly due to anthropogenic activities. The use of biotechnology has been implemented for the treatment of effluents contaminated with Cr(VI).Our working group has isolated several fungi and bacteria capable of removing Cr(VI) from the culture medium. Aspergillus niger var tubingensis Ed8 is a strain that can produce metabolites which reduce Cr (VI) to Cr (III). The objective of this work was to determine the effect of sodium salicylate on the growth of this strain and on the Cr(VI) reduction system, as well as to identify the metabolites that are produced from sodium salicylate. Our results show that the Culture medium containing sodium salicylate (20 mM) inhibits strain growth compared to the control condition (0 mM). However, it increases the specific reduction capacity of Cr (VI) red/mg Biomass in order of magnitude. Analysis of the culture medium corresponding to 48 h of incubation shows the presence of catechol and salicylate diminution. In addition, as a product of the enzymatic activity of a cell-free cellular extract, after 24 h of incubation, the consumption of salicylate is detected, as well as the presence of peaks corresponding to resorcinol and catechol. Our results show that it is possible to increase the Cr(VI) reducing capacity of the Ed8 strain, depending on the composition of the culture medium.
摘要铬(VI)是一种对任何生物都具有高度毒性的环境污染物,其在环境中的存在主要是由于人类活动。生物技术已被用于处理被Cr(VI)污染的废水。我们的工作组已从培养基中分离出几种能够去除Cr(Ⅵ)的真菌和细菌。黑曲霉(Aspergillus niger var tubingesis Ed8)是一种能够产生将Cr(VI)还原为Cr(III)的代谢产物的菌株。这项工作的目的是确定水杨酸钠对该菌株生长和Cr(VI)还原系统的影响,并鉴定水杨酸钠产生的代谢产物。我们的结果表明,与对照条件(0mM)相比,含有水杨酸钠(20mM)的培养基抑制菌株生长。然而,它使Cr(VI)红/mg生物质的比还原能力增加了一个数量级。对应于培养48小时的培养基的分析显示邻苯二酚和水杨酸盐减少的存在。此外,作为无细胞细胞提取物的酶活性的产物,在孵育24小时后,检测水杨酸盐的消耗,以及存在对应于间苯二酚和邻苯二酚的峰。我们的结果表明,根据培养基的组成,可以提高Ed8菌株的Cr(VI)还原能力。
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引用次数: 0
Analytical approach in higher predict residual error on MHD mixed convective motion of MoS2 engine-oil based nanofluid MoS2机油基纳米流体MHD混合对流运动预测残差较高的分析方法
IF 1.6 4区 工程技术 Q3 Chemical Engineering Pub Date : 2022-11-11 DOI: 10.1515/ijcre-2022-0149
Shankar Rao Munjam, M. Khan, R. Sharma, R. Seshadri, O. Bafakeeh, Minnie Malik
Abstract We obtain the clean semi-analytical solutions with method of directly defining inverse mapping (MDDiM) to the system of nonlinear equations arising in the magnetohydrodynamic (MHD) convection motion of Molybdenum disulfide (MoS2) engine-oil intrinsic nanofluid in a circumnavigatethe structure is considered for analysis. Finding the solutions by using MDDiM is a novel idea and first time solving for the system of nonlinear partial differential equations. We have chosen inverse linear mapping for the five-term solution and it emphasizes by residual error and this gives the low error (10−2 to 10−17) and can easily derive deformation terms by spending very low CPU time. Based on the proposed method, the convergence rate, accuracy, and efficiency of the governing equations are demonstrated, and result outputs shown in tabular and graphically, which exhibit meaningful structures and advantages in science and engineering.
摘要采用直接定义逆映射(MDDiM)的方法,对二硫化钼(MoS2)发动机润滑油固有纳米流体在环形航行中磁流体动力学(MHD)对流运动中产生的非线性方程组得到了简洁的半解析解。利用MDDiM求解非线性偏微分方程组是一种新颖的方法,也是第一次求解非线性偏微分方程组。我们选择了五项解的逆线性映射,它强调残差,这给出了低误差(10−2到10−17),并且可以通过花费非常低的CPU时间轻松推导变形项。在此基础上,证明了控制方程的收敛速度、精度和效率,并以表格和图形的形式显示了结果输出,显示了有意义的结构和在科学和工程上的优势。
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引用次数: 0
期刊
International Journal of Chemical Reactor Engineering
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