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Feasibility analysis of using a bubble column evaporator as a solvent swap device 气泡塔蒸发器作为溶剂交换装置的可行性分析
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100050
Darren Cappelli, Brian Glennon, Philip Donnellan

A feasibility analysis was performed on the use of a bubble column evaporator (BCE) as a solvent swap device. Batch BCE simulations successfully proved that the BCE was capable of performing a solvent swap for both the dcm - methanol and the water - methanol systems with the aid of computational fluid dynamics (CFD). This was achieved by saturating the inlet gas with the new solvent which condensed inside the column. The old solvent then evaporated into the gas phase which exited via the column outlet. Progression of the solvent swap therefore caused the liquid mass fraction of the species to vary. The effect of bubble size, gas flowrate, gas inlet temperature and liquid mass fraction on the solvent swap efficiency was also investigated. The liquid mass fraction was found to have the greatest influence on the solvent swap efficiency. The evaporation rate decreased proportionately with the mass fraction of the evaporating species in the liquid phase which was a result of Raoult’s law. The thermodynamic model was used to validate the CFD solution and estimate the time required for a batch solvent swap. A smaller bubble size was found to enhance mass transfer in the solvent swap by increasing the evaporation and condensation thermodynamic efficiencies. The higher gas flowrate also improved the mass transfer in the system and reduced the time required for a solvent swap as there was a greater throughput of gas, however it resulted in a decreased evaporation efficiency due to a lower gas residence time in the column. The higher gas inlet temperature increased the rate of condensation and the time required for the a solvent swap. The increased condensation of the new solvent had a negative effect on the evaporation of the old solvent as a result of raoults law which resulted in a longer solvent swap operation. The increased gas inlet temperature also caused the evaporation rate to decrease because of the relationship between the density of an ideal gas and temperature. An increased inlet gas temperature resulted in a lower inlet gas density. There was therefore a reduced mass throughput of gas into the column and consequentially the rate of evaporation decreased. The liquid mass fraction was found to have the greatest influence on the solvent swap efficiency. The evaporation rate decreased proportionately with the mass fraction of the evaporating species in the liquid phase which was a result of Raoult’s law.

对气泡柱蒸发器作为溶剂交换装置进行了可行性分析。批量BCE模拟成功地证明了BCE能够在计算流体动力学(CFD)的帮助下对dcm -甲醇和水-甲醇体系进行溶剂交换。这是通过用新溶剂使入口气体饱和而实现的,新溶剂在塔内冷凝。然后旧溶剂蒸发成气相,气相通过柱出口排出。因此,溶剂交换的进展导致该物种的液体质量分数发生变化。考察了气泡尺寸、气体流量、气体入口温度和液体质量分数对溶剂交换效率的影响。液体质量分数对溶剂交换效率的影响最大。蒸发速率随液相中蒸发物质的质量分数成比例地降低,这是拉乌尔定律的结果。热力学模型用于验证CFD解决方案,并估计批量溶剂交换所需的时间。较小的气泡尺寸可以通过提高蒸发和冷凝热力学效率来增强溶剂交换中的传质。较高的气体流量也改善了系统中的传质,减少了溶剂交换所需的时间,因为气体的吞吐量更大,但由于气体在塔中停留时间较短,导致蒸发效率降低。较高的气体入口温度增加了冷凝速率和溶剂交换所需的时间。由于raoults定律,新溶剂的冷凝增加对旧溶剂的蒸发有负面影响,导致溶剂交换操作时间延长。由于理想气体的密度与温度的关系,气体入口温度的升高也会导致蒸发速率的降低。入口气体温度升高导致入口气体密度降低。因此,进入色谱柱的气体质量吞吐量降低,蒸发速率也随之降低。液体质量分数对溶剂交换效率的影响最大。蒸发速率随液相中蒸发物质的质量分数成比例地降低,这是拉乌尔定律的结果。
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引用次数: 0
Investigation on the effect of nonpolar amino acids as macromolecular crowders on the stability of globular proteins 非极性氨基酸对球状蛋白稳定性影响的研究
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100044
Saikat Pal, Rajib Kumar Mitra

Addition of macromolecular crowders to biomolecules can mimic the interior of living cells, however, it is not always very evident whether the effect is general or dependent on the biomolecule-crowder pair specificity. In this study, we investigate the effect of nonpolar hydrophobic amino acids (Glycine, L-alanine, L-valine, L-leucine, L-isoleucine) as crowding agents on the structural and thermal stability of three proteins: human serum albumin (HSA), lysozyme (HEWL) and Ribonuclease-A (RNase-A) of varying α-helical content using temperature dependent circular dichroism (CD) spectroscopic technique. It has been observed that all these five amino acids do not substantially alter the secondary structure of proteins rather they stabilize their respective native forms. Thermal unfolding of each protein is found to be irreversible in nature with the extent of secondary structural loss during refolding being proportional to the α-helicity of the protein. Estimated thermodynamic parameters (van't Hoff enthalpy and heat capacity) show that enthalpic stabilization is protein specific and the added amino acids alter these parameters in different extent without following any specific trend. Our study affirms that conformational stability of proteins and the associated thermodynamic parameters do not necessarily bear a linear correlation with the hydrophobicity of amino acids; rather it is protein specific where the secondary structural content plays an important role.

在生物分子中添加大分子聚合剂可以模拟活细胞的内部,然而,这种效果是一般的还是依赖于生物分子-聚合剂对的特异性并不总是很明显。在这项研究中,我们研究了非极性疏水氨基酸(甘氨酸、l -丙氨酸、l -缬氨酸、l -亮氨酸、l -异亮氨酸)作为聚集剂对三种不同α-螺旋含量的蛋白质:人血清白蛋白(HSA)、溶菌酶(HEWL)和核糖核酸酶-a (RNase-A)的结构和热稳定性的影响。已经观察到,所有这五种氨基酸并没有实质性地改变蛋白质的二级结构,而是稳定了它们各自的天然形式。每个蛋白质的热展开在本质上是不可逆的,在重折叠过程中二级结构损失的程度与蛋白质的α-螺旋度成正比。估计的热力学参数(范霍夫焓和热容)表明,热稳定是蛋白质特有的,氨基酸的加入不同程度地改变了这些参数,没有遵循任何特定的趋势。我们的研究证实,蛋白质的构象稳定性和相关的热力学参数不一定与氨基酸的疏水性呈线性相关;相反,它是蛋白质特异性的,其中二级结构内容起重要作用。
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引用次数: 2
Micro/nanoencapsulation of dimethyl adipate with melamine formaldehyde shell as phase change material slurries for cool thermal energy storage 三聚氰胺甲醛壳微/纳米包封己二酸二甲酯作为相变材料浆料的冷储热研究
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100037
G.V.N. Trivedi, R. Parameshwaran

The present study reports the encapsulation of dimethyl adipate into a polymer shell using in-situ polymerisation. Surface morphology, crystal structure, chemical stability, and thermal properties are characterised using various analytical methods and experimentally investigated. The surface morphology has shown excellent sphericity with a mean particle diameter of 900 nm. The measured enthalpy was 80.2 J/g, with the onset and peak melting temperatures are 6.4 °C and 9.6 °C, respectively. The calculated specific heat capacities of encapsulated dimethyl adipate are around 1.7 J/g.K and 2.3 J/g.K for solid and liquid states, respectively. Furthermore, thermal cycling performance was obtained as 95.3% after 100 thermal cycles. These capsules dispersed into the base fluid (deionized double distilled water) in appropriate proportions for the preparation of micro/nanoencapsulated phase change material slurries (MNPCMS). The prepared slurries have shown a marginal increase in viscosity compared to the base fluid. Therefore, the test results signified that the prepared MNPCMS can be considered as a potential candidate for cool thermal energy storage applications.

本研究报道了用原位聚合将己二酸二甲酯包封到聚合物外壳中。表面形貌,晶体结构,化学稳定性和热性能的特点,采用各种分析方法和实验研究。表面形貌表现出良好的球形性,平均颗粒直径为900 nm。测得的热焓为80.2 J/g,熔点和峰值温度分别为6.4℃和9.6℃。计算得到包封的己二酸二甲酯比热容约为1.7 J/g。K和2.3 J/g。K分别代表固态和液态。经过100次热循环后,其热循环性能达到95.3%。这些胶囊以适当的比例分散到基液(去离子双蒸馏水)中,用于制备微/纳米胶囊化相变材料浆料(MNPCMS)。与基液相比,制备的浆料的粘度略有增加。因此,测试结果表明,制备的MNPCMS可以被认为是冷储能应用的潜在候选材料。
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引用次数: 5
Prediction of viscous dissipation effects on magnetohydrodynamic heat transfer flow of copper-poly vinyl alcohol Jeffrey nanofluid through a stretchable surface using artificial neural network with Bayesian Regularization 基于贝叶斯正则化的人工神经网络预测铜-聚乙烯醇纳米流体在可拉伸表面的粘性耗散对磁流体传热流的影响
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100056
Andaç Batur Çolak

In this study, the viscous dissipation effects of copper-polyvinyl alcohol (Cu-PVA) Jeffrey nanofluid on magnetohydrodynamic (MHD) heat transfer flow across a stretchable surface have been analyzed with an artificial intelligence approach. The flow parameters, skin friction and Nusselt number, are numerically obtained with a closed Keller-box and partial differential equations converted to a non-linear ordinary differential equation system using the appropriate similarity transformation. Using the obtained data set, two different artificial neural network (ANN) models have been developed. In the multi-layer perceptron (MLP) network model developed with Bayesian Regularization training algorithm, solid volume fraction (φ), Deborah number (β), magnetic parameter (M), Prandtl number (Pr) and Eckert number (Ec) values have been defined as input parameters and skin friction and Nusselt number values ​​have been obtained in the output layer. R values ​​for skin friction and Nusselt number have been calculated as 0.99020 and 0.99394, respectively. The study findings show that the developed ANN model can predict with high accuracy and is a high-performance engineering tool that can be used in modeling viscous dissipation effects.

本研究采用人工智能方法分析了铜聚乙烯醇(Cu-PVA)杰弗里纳米流体对可拉伸表面磁流体传热流的粘滞耗散效应。利用封闭的Keller-box和偏微分方程,通过适当的相似变换,将其转化为非线性常微分方程系统,数值计算得到了流动参数、表面摩擦力和努塞尔数。利用得到的数据集,建立了两种不同的人工神经网络模型。在采用贝叶斯正则化训练算法建立的多层感知器(MLP)网络模型中,定义了固体体积分数(φ)、Deborah数(β)、磁参数(M)、Prandtl数(Pr)和Eckert数(Ec)值作为输入参数,并在输出层获得了表面摩擦和努塞尔数值。皮肤摩擦和努塞尔数的R值分别为0.99020和0.99394。研究结果表明,所建立的人工神经网络模型具有较高的预测精度,是一种高性能的工程工具,可用于模拟粘滞耗散效应。
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引用次数: 5
Thermal decomposition behaviors of an amphiphilic macroinitiator DSHPG for hydrocarbon fuel 两亲性高分子引发剂DSHPG对碳氢燃料的热分解行为
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100047
Guijin He , Shun Li , Xiaolin Zhao , Jianmeng Cen , Kaige Wang , Yongsheng Guo , Wenjun Fang

Nowadays, a series of hyperbranched polymers have been developed as macroinitiators for hydrocarbon fuels. These macroinitiators are helpful to enhance the heat sink capability of endothermic hydrocarbon fuels to meet the great demand for thermal management when applied on a hypersonic or supersonic aircraft. An amphiphilic hyperbranched polyglycerol, DSHPG, has been studied when used as a novel macroinitiator. In this work, the thermal decomposition of DSHPG is investigated in detail to explore the pyrolysis mechanism of DSHPG based on the construction of mathematical models. The mathematical models are obtained from the thermal gravity analyses of DSHPG to predict the decomposition process of DSHPG and the kinetic parameters, such as activation energy and pre-exponential factor. Furthermore, the decomposition paths including possible radical reactions of DSHPG are proposed based on the qualitative investigation about the pyrolytic products detected from a pyrolysis-GC/MS apparatus. These results offer a detailed insight on the thermal decomposition of DSHPG to explore how the DSHPG functions as the macroinitiator for endothermic hydrocarbon fuels at high temperatures.

近年来,人们开发了一系列的超支化聚合物作为烃类燃料的宏观引发剂。这些宏观引发剂有助于提高吸热碳氢燃料的吸热能力,以满足高超声速或超音速飞机对热管理的巨大需求。研究了两亲性超支化聚甘油(DSHPG)作为新型高分子引发剂的性能。本文在建立数学模型的基础上,对DSHPG的热分解进行了详细的研究,探讨了DSHPG的热解机理。通过对DSHPG的热重分析,建立了DSHPG分解过程的数学模型,预测了DSHPG的分解过程及活化能、指前因子等动力学参数。通过对热解产物gc /MS的定性分析,提出了DSHPG的分解路径,包括可能的自由基反应。这些结果为DSHPG的热分解提供了详细的见解,以探索DSHPG如何在高温下作为吸热碳氢燃料的宏观引发剂。
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引用次数: 0
Improved oxygen balance and effective energy density by coligand and dehydration strategy: Synthesis and characterization of two new energetic coordination polymers 通过配体和脱水策略改善氧平衡和有效能量密度:两种新型能量配位聚合物的合成和表征
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100035
Baojuan Jiao , Qi Yang , Sanping Chen

Based on the excellent energetic ligand of N, N-bis(1H-tetrazole-5-yl)-amine (H2bta) and coligand of oxalic acid (oa), Cu(Ⅱ) as the metal center ion, a new energetic coordination polymer (ECP), {[Cu2(bta)2(oa)(H2O)2]∙4H2O}n (1), was synthesized by hydrothermal method. Single crystal X-ray diffraction indicates that 1 possess 3D supramolecular configuration. Due to the existence of a large number of lattice water and coordination water molecules in 1, however, the effective energy density of 1 is limited. To further improve the performance of 1, according to its thermal decomposition behavior, we dehydrated 1 at 280 °C to obtain a new ECP [Cu2(bta)2(oa)]n (2). The thermodynamic parameter of the decomposition process of 1 was discussed by Kissinger's and Ozawa's methods. Sensitivity tests show that 2 is more sensitivity to impact stimuli than 1, reflecting guest-dependent energy and sensitivity of ECPs. The theoretical calculation results show that 1 possess good detonation performances. The promotion effects of two ECPs on the combustion decomposition of ammonium perchlorate were studied using a differential scanning calorimetry method. Experimental results showed that 1 and 2 can be used as high energy density materials in the field of combustion promoter and the insensitive 1 can be regarded as a safe form for mass storge and transportation of sensitive 2.

以N, N-二(1h -四唑-5-酰基)胺(H2bta)为配体,以草酸(oa)、Cu(Ⅱ)为金属中心离子,采用水热法制备了一种新型能配体(ECP) {[Cu2(bta)2(oa)(H2O)2]∙4H2O} N(1)。单晶x射线衍射表明其具有三维超分子构型。然而,由于1中存在大量的晶格水和配位水分子,使得1的有效能量密度受到限制。为了进一步提高1的性能,根据其热分解行为,在280℃下对1进行脱水,得到新的ECP [Cu2(bta)2(oa)]n(2),并采用Kissinger和Ozawa方法讨论了1分解过程的热力学参数。敏感性测试表明,2对冲击刺激的敏感性高于1,反映了客人依赖的能量和ecp的敏感性。理论计算结果表明,1具有良好的爆轰性能。采用差示扫描量热法研究了两种ECPs对高氯酸铵燃烧分解的促进作用。实验结果表明,1和2可以作为高能量密度材料应用于助燃剂领域,不敏感1可以作为敏感2的安全储运形式。
{"title":"Improved oxygen balance and effective energy density by coligand and dehydration strategy: Synthesis and characterization of two new energetic coordination polymers","authors":"Baojuan Jiao ,&nbsp;Qi Yang ,&nbsp;Sanping Chen","doi":"10.1016/j.ctta.2022.100035","DOIUrl":"10.1016/j.ctta.2022.100035","url":null,"abstract":"<div><p>Based on the excellent energetic ligand of <em>N, N</em>-bis(1<em>H</em>-tetrazole-5-yl)-amine (H<sub>2</sub>bta) and coligand of oxalic acid (oa), Cu(Ⅱ) as the metal center ion, a new energetic coordination polymer (ECP), {[Cu<sub>2</sub>(bta)<sub>2</sub>(oa)(H<sub>2</sub>O)<sub>2</sub>]∙4H<sub>2</sub>O}<sub>n</sub> (<strong>1</strong>), was synthesized by hydrothermal method. Single crystal X-ray diffraction indicates that <strong>1</strong> possess 3D supramolecular configuration. Due to the existence of a large number of lattice water and coordination water molecules in <strong>1</strong>, however, the effective energy density of <strong>1</strong> is limited. To further improve the performance of <strong>1</strong>, according to its thermal decomposition behavior, we dehydrated <strong>1</strong> at 280 °C to obtain a new ECP [Cu<sub>2</sub>(bta)<sub>2</sub>(oa)]<sub>n</sub> (<strong>2</strong>). The thermodynamic parameter of the decomposition process of 1 was discussed by Kissinger's and Ozawa's methods. Sensitivity tests show that <strong>2</strong> is more sensitivity to impact stimuli than <strong>1</strong>, reflecting guest-dependent energy and sensitivity of ECPs. The theoretical calculation results show that <strong>1</strong> possess good detonation performances. The promotion effects of two ECPs on the combustion decomposition of ammonium perchlorate were studied using a differential scanning calorimetry method. Experimental results showed that <strong>1</strong> and <strong>2</strong> can be used as high energy density materials in the field of combustion promoter and the insensitive <strong>1</strong> can be regarded as a safe form for mass storge and transportation of sensitive <strong>2</strong>.</p></div>","PeriodicalId":9781,"journal":{"name":"Chemical Thermodynamics and Thermal Analysis","volume":"6 ","pages":"Article 100035"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2667312622000025/pdfft?md5=18f03992349e6d28c161a2b9bf843cdd&pid=1-s2.0-S2667312622000025-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72738881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Experimental investigation of the adsorption process of the surfactant-nanoparticle combination onto the carbonate reservoir rock surface in the enhanced oil recovery (EOR) process 表面活性剂-纳米颗粒组合在提高采收率过程中在碳酸盐岩储层表面吸附过程实验研究
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100036
Abbas Shahrabadi , Allahyar Daghbandan , Mohsen Arabiyoun

Nowadays, the application of materials, such as surfactants and nanoparticles in enhanced oil recovery (EOR) projects has been widely studied. So, the adsorption process of these substances is one of the important methods to increase the oil recovery factor from carbonate oil reservoirs. However, understanding how the surfactant-nanoparticle combination interacts through the adsorption process onto the carbonate reservoir rocks surface is not well discussed. In this paper, the adsorption process of saponin extracted from the Glycyrrhiza glabra plant as a natural non-ionic surfactant (GG surfactant) with the presence of hydrophilic titanium dioxide nanoparticles (HITNPs) onto the carbonate reservoir rock (adsorbent) surface has been investigated for mobilizing the crude oil remaining to increase the oil recovery factor. Hence, this study highlights the equilibrium adsorption rate and the adsorption kinetics of these materials in aqueous solutions for chemical EOR schemes. Also, analyses of X-ray diffraction (XRD) spectrometry, scanning electron microscopy (SEM), and Fourier transform infrared (FTIR) spectroscopy have been applied to confirm and determine the physicochemical changes and properties of materials. To evaluate the adsorption rate and the relationship between surfactant concentration with the presence of nanoparticles and adsorption density on the adsorbent surface in the aqueous phase, batch adsorption tests under atmospheric conditions at different concentrations and times have been used to comprehend the impact of adsorbate dose on the sorption efficiency. Therefore, the electrical conductivity (EC) technique was used for measuring the adsorption rate of surfactant with the presence of HITNPs in the aqueous phase on the adsorbent surface. The adsorption kinetics process was experimentally investigated at laboratory temperature (25 °C) by monitoring the uptake of solutions on the adsorbent surface as a function of time. The experimental adsorption data were also examined by different equilibrium and kinetic models of adsorption. Hence, the adsorption parameters were determined for each model. Langmuir isotherm was the best model according to the higher values of the correlation coefficient (R2) for GG surfactant and surfactant nanofluid solutions on the adsorbent surface. Furthermore, the pseudo-second-order kinetic model could satisfactorily estimate the adsorption kinetics of GG surfactant and surfactant nanofluid solutions on the adsorbent surface. Results indicated that the adsorption process of GG surfactant and surfactant nanofluid solutions on the adsorbent surface is characterized by a short period of rapid adsorption, followed by a long period of slower adsorption. Moreover, the results of the IFT experiment of these materials showed that GG surfactant and surfactant nanofluid solutions could significantly reduce the IFT value between oil and water system. Finally, the results obtained from this study can h

目前,表面活性剂和纳米颗粒等材料在提高采收率工程中的应用得到了广泛的研究。因此,这些物质的吸附过程是提高碳酸盐岩油藏采收率的重要方法之一。然而,对于表面活性剂-纳米颗粒组合如何通过吸附过程在碳酸盐岩储层表面相互作用的理解尚未得到很好的讨论。本文研究了天然非离子表面活性剂(GG表面活性剂)光甘草皂苷与亲水性二氧化钛纳米颗粒(HITNPs)在碳酸盐岩储层(吸附剂)表面的吸附过程,以调动原油剩余物,提高原油采收率。因此,本研究强调了化学提高采收率方案中这些材料在水溶液中的平衡吸附速率和吸附动力学。同时,利用x射线衍射(XRD)、扫描电镜(SEM)和傅里叶变换红外(FTIR)光谱分析,证实和确定了材料的理化变化和性能。为考察表面活性剂浓度与纳米颗粒的存在及吸附密度在水相中吸附剂表面的吸附速率及关系,采用常压条件下不同浓度、不同时间的间歇吸附试验,了解吸附剂剂量对吸附效率的影响。因此,采用电导率(EC)技术测定表面活性剂在水相中存在HITNPs时在吸附剂表面的吸附速率。在实验室温度(25°C)下,通过监测溶液在吸附剂表面的吸收作为时间的函数,实验研究了吸附动力学过程。用不同的吸附平衡模型和动力学模型对实验数据进行了检验。因此,确定了每个模型的吸附参数。Langmuir等温线是最佳的模型,因为GG表面活性剂和表面活性剂纳米流体溶液在吸附剂表面的相关系数(R2)较高。伪二级动力学模型能较好地估计表面活性剂GG和表面活性剂纳米流体溶液在吸附剂表面的吸附动力学。结果表明,GG表面活性剂和表面活性剂纳米流体溶液在吸附剂表面的吸附过程表现为短时间的快速吸附,随后是长时间的缓慢吸附。此外,这些材料的IFT实验结果表明,GG表面活性剂和表面活性剂纳米流体溶液可以显著降低油水体系之间的IFT值。最后,研究结果可以为提高采收率项目的设计,特别是碳酸盐岩油藏的油藏模拟方案和化学驱工艺的设计,提供合适的表面活性剂和金属氧化物纳米颗粒的选择。
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引用次数: 0
The Equivalence of the Charge Interaction Sum and the Ionic Strength 电荷相互作用和与离子强度的等价性
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100059
Leslie Glasser

The electrostatic interaction among a neutral and finite set of point charges is based on the sum of their pairwise charge products, zizj, yet many analyses yield terms which simply contain a sum of the squares of the separate charges, corresponding to the ionic strength, ½mizi2.

This submission collects together a number of important instances of this result and explains their equivalence. In effect, the ionic strength-like terms provide conveniently calculated coulomb sums for systems with finite collections of charges.

中性和有限点电荷之间的静电相互作用是基于它们成对电荷积的和,然而许多分析得出的项只是包含单独电荷的平方和,对应于离子强度,½∑mizi2。本文收集了该结果的一些重要实例,并解释了它们的等价性。实际上,离子强度类项为具有有限电荷集合的系统提供了方便的库仑和计算。
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引用次数: 4
Bulk modulus for Morse potential interaction with the distribution function based 体积模量以摩尔斯势相互作用的分布函数为基础
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100046
Marwan Al-Raeei

The bulk modulus is a significant coefficient for the study of the compressible behaviour of the materials in the bulk case. The bulk moduli can be determined via the experimental method by measuring of the elastic parameters, via the semi-empirical procedures from the equation of state, or from theoretical images as in the theory of the integral equations. In this work we find a relationship of the bulk modulus for the Morse interaction potential employing the Fourier transformation and the mean-spherical approximation for the Morse interaction. We find that the bulk modulus of the Morse potential is composed of two terms, one from the kinetic part, and the other from the internal interaction of the particles composing the described-system. We find that the bulk modulus of the Morse interaction depends on the absolute temperature of the described composition and the compact factor. Besides, we find that the Bulk modulus formula which we derived of Morse potential, depends on the diameter of the particles in the system, and depends on the Morse interaction parameters. The formula which we derive is, in general, applied for the systems described by the Morse interaction in the vibrational case such as the hydrogen chloride and hydrogen fluoride molecules.

体积模量是研究材料在体积情况下的可压缩特性的一个重要系数。体积模量可以通过测量弹性参数的实验方法确定,也可以通过从状态方程出发的半经验程序确定,或者从积分方程理论中的理论图像确定。在这项工作中,我们发现了摩尔斯相互作用势的体积模量采用傅里叶变换和摩尔斯相互作用的平均球面近似的关系。我们发现摩尔斯势的体积模量由两项组成,一项来自动力学部分,另一项来自组成所述系统的粒子的内部相互作用。我们发现摩尔斯相互作用的体积模量取决于所描述的组分的绝对温度和紧化因子。此外,我们还发现由摩尔斯势导出的体积模量公式与系统中粒子的直径和摩尔斯相互作用参数有关。我们推导出的公式一般适用于振动情况下莫尔斯相互作用所描述的系统,如氯化氢和氟化氢分子。
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引用次数: 12
Entropy generation and heat transfer analysis of magnetic nanofluid flow inside a square cavity filled with carbon nanotubes 磁性纳米流体在碳纳米管填充方形腔内流动的熵产与传热分析
Pub Date : 2022-06-01 DOI: 10.1016/j.ctta.2022.100045
P. Sudarsana Reddy , P. Sreedevi , V. Nageswara Reddy

Combination of MWCNTsandwater based nanofluid flow, isentropic lines and isotherms features inside a square enclosure with radiation and magnetic field is examined numerically in the current article. The dimensionless equations representing entropy generation, heat and momentum are solved numerically by applying finite difference scheme. The changes in the sketches of isotherms, streamlines and isentropic fields with dissimilar values of radiation parameter (0.01R0.1), volume fraction of nanoparticle parameter (0.01ϕ0.1), Rayleigh number (103Ra104), Prandtl number (5.2Pr8.2) and magnetic parameter (0.1M0.7) have scrutinized and are plotted through sketches. The scatterings of rates of heat transfer with respect to these parameters are also depicted through graphs. Non – dimensional rates of heat transfer intensifies in the nanofluid region with augmenting values of radiation parameter. The sketches of temperature lines of waterMWCNTs based nanofluid lost their nature in the central part of the chamber and they are virtually vertical shape close to the right cold wall as the values of volume fraction of carbon nanotubes rises. 7.2% augmentation in heat transfer rate is noticed when 4% volume fraction of MWCNTs are added to the base fluid .

本文用数值方法研究了微波纳米管与水基纳米流体在辐射和磁场作用下的方形腔内的流动、等熵线和等温线特征。采用有限差分格式对熵生成、热量和动量的无量纲方程进行了数值求解。考察了辐射参数(0.01≤R≤0.1)、纳米颗粒体积分数参数(0.01≤φ≤0.1)、瑞利数(103≤Ra≤104)、普朗特数(5.2≤Pr≤8.2)和磁参数(0.1≤M≤0.7)不同值时等温线、流线和等熵场的速写变化。传热速率随这些参数的分布也用图形表示出来。纳米流体区域的无量纲传热率随着辐射参数的增大而增强。随着碳纳米管体积分数的升高,基于水- MWCNTs的纳米流体的温线草图在腔室的中心部分失去了它们的性质,它们几乎是垂直的形状,靠近右冷壁。当基液中加入体积分数为4%的MWCNTs时,传热速率提高了7.2%。
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引用次数: 25
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Chemical Thermodynamics and Thermal Analysis
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