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Optimizing solar panel performance: a novel algorithm incorporating a duct with helical tape filled with a mixture of water and hybrid nano-powders 优化太阳能电池板的性能:一种新的算法,将一个装有螺旋带的管道与水和混合纳米粉末的混合物结合起来
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-11 DOI: 10.1007/s10973-024-13813-1
Atefeh Anisi, M. Sheikholeslami, Z. Khalili, Faranack M. Boora

This study employs a machine learning methodology, specifically the Random Forest (RF) model, to evaluate and optimize the productivity of a photovoltaic (PV) unit integrated with a cooling duct equipped with helical fins. A thermoelectric generator (TEG) is strategically positioned above the cooling duct to enhance electricity production. The cooling mechanism utilizes confined jets involving of ND-Co3O4- water nanomaterial to improve thermal regulation. The key variables considered include the number of fins (Nf), their revolution number (Nr), inlet velocity (Vi), and heat flux intensity (I). The optimization focuses on three primary objectives: maximizing profit, enhancing CO2 mitigation (CM), and minimizing pumping power (Wp). The RF model showed strong predictive capability, achieving a test RMSE of 0.4590 and an R2 of 0.9474 for Wp, an RMSE of 71.8501 and an R2 of 0.8421 for Profit, and an RMSE of 2.9472 with an R2 of 0.8143 for CM. A multi-objective optimization technique was used to derive Pareto front solutions, balancing trade-offs among these objectives. The results demonstrate that integrating helical fins and nanoparticle-infused cooling jets significantly improves system performance, with optimized solutions reducing pumping power, while enhancing both profit and CO2 mitigation.

本研究采用机器学习方法,特别是随机森林(RF)模型,来评估和优化与配备螺旋鳍的冷却管道集成的光伏(PV)单元的生产率。热电发电机(TEG)被战略性地放置在冷却管道上方,以提高发电量。该冷却机制利用ND-Co3O4-水纳米材料的受限射流来改善热调节。考虑的关键变量包括翅片数(Nf)、转数(Nr)、入口速度(Vi)和热流强度(I)。优化主要关注三个主要目标:利润最大化、增强二氧化碳减排(CM)和最小化泵送功率(Wp)。RF模型具有较强的预测能力,Wp的RMSE为0.4590,R2为0.9474;Profit的RMSE为71.8501,R2为0.8421;CM的RMSE为2.9472,R2为0.8143。采用多目标优化技术推导了Pareto前解,平衡了这些目标之间的权衡。结果表明,整合螺旋鳍和注入纳米颗粒的冷却射流显著提高了系统性能,优化后的解决方案降低了泵送功率,同时提高了利润和二氧化碳减排。
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引用次数: 0
A novel strategy to optimizing a solar hybrid multi-generation system with desalination 一种优化具有海水淡化的太阳能混合多发电系统的新策略
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-11 DOI: 10.1007/s10973-024-13706-3
Amir Hossein Forghani, Alireza Arab Solghar, Hassan Hajabdollahi

To reduce energy consumption, a model was developed to optimize a multi-generation system. The system integrates multi-effect distillation through thermal vapor compression (MED-TVC), solar flat plate collectors (FPCs), and photovoltaic panels (PVs). The objective function was to minimize the annual cost of the system. To achieve this, an evolutionary algorithm was employed to determine the optimal values of 34 design parameters. The design parameters considered for optimization included the capacity of the gas turbine as the prime mover, electrical chiller capacity, absorption chiller capacity, size of the boiler, partial loads of the gas turbine for each month of the year (12 values in total), number of FPCs and PVs, number of effects in the desalination unit, driving steam pressure, feed water flow rate, driving steam flow rate, and electric cooling ratio. A novel approach was introduced by incorporating a variable electrical cooling ratio, which represents the proportion of electrical and absorption chiller usage, for each month of the year. The optimization aimed to fulfill the heating, cooling, electricity, and freshwater requirements of a residential complex situated in Bandar Abbas, Hormozgan Province, Iran. The optimization results were compared with a constant electrical cooling ratio system where the electrical cooling ratio was assumed to be fixed throughout the year. The optimal scenario, considering the variable electrical cooling ratio strategy, yielded an annual cost of $0.9780 × 106 $/year, indicating a significant 10.11% improvement compared to the conventional case ($1.0882 × 106 $/year). These findings underscore the potential advantages of the proposed strategy in terms of cost savings and system performance optimization.

为了降低能耗,建立了多发电系统的优化模型。该系统通过热蒸汽压缩(MED-TVC)、太阳能平板集热器(fpc)和光伏板(pv)集成了多效蒸馏。目标函数是使系统的年成本最小化。为了实现这一目标,采用进化算法确定34个设计参数的最优值。优化考虑的设计参数包括:燃气轮机原动机容量、电冷水机组容量、吸收式冷水机组容量、锅炉尺寸、燃气轮机全年各月部分负荷(共12个值)、fpc和pv数量、海水淡化机组效应数量、驱动蒸汽压力、给水流量、驱动蒸汽流量、电冷却比。采用了一种新颖的方法,即采用可变的电冷却比,这代表了一年中每个月用电和吸收式制冷机使用的比例。该优化旨在满足位于伊朗霍尔木兹甘省阿巴斯港的住宅综合体的供暖、制冷、电力和淡水需求。优化结果与恒定电冷却比系统进行了比较,其中电冷却比假设全年固定。考虑可变电冷却比策略,最优方案的年成本为0.9780 × 106美元/年,与传统情况(1.0882 × 106美元/年)相比,显著提高了10.11%。这些发现强调了所提出的策略在节约成本和优化系统性能方面的潜在优势。
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引用次数: 0
Heat transfer and flow dynamics of methanol-based CuO and MgO hybrid nanomaterial in convergent and divergent channels: a Jeffery–Hamel flow study 甲醇基CuO和MgO杂化纳米材料在收敛和发散通道中的传热和流动动力学:Jeffery-Hamel流动研究
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-11 DOI: 10.1007/s10973-024-13914-x
Rupa Baithalu, S. R. Mishra, Subhajit Panda

The improve design and enhanced thermal management systems nowadays depends upon the enhanced heat transfer capabilities of hybrid nanofluids and their wide range of applications. These lead to efficient cooling in electronic devices, thermal control in chemical processing, and several many industrial as well as biomedical applications. The proposed study aims to enrich the heat transfer characteristic of methanol-based hybrid nanofluid comprising CuO and MgO nanoparticles in convergent and divergent channels. The study focuses on the Jeffery–Hamel flow via porous medium where the impact of heat source is analyzed. The flow behavior is characterized by the role of several pertinent factors those are derived by the implementation of similarity variables in the governing equations. These rules help in transforming the dimensional form of set of equations into non-dimensional form. Numerical solution is presented for the set of equations by using bvp4c routine function in MATLAB particularly utilizing Runge–Kutta fourth-order. However, the investigation explores the key factors such as particle concentration, Reynolds number, Darcy parameter and heat source affecting various flow characteristic. The important results indicate that the existence of CuO and MgO nanoparticles significantly overshoots the conductivity and heat transfer rate in comparison with the base fluid. Further, the fluid velocity is significantly controlled by the increasing Reynolds number.

目前,改进设计和增强热管理系统取决于混合纳米流体增强的传热能力及其广泛的应用。这些导致了电子设备的有效冷却,化学加工中的热控制,以及许多工业和生物医学应用。本研究旨在丰富由CuO和MgO纳米颗粒组成的甲醇基混合纳米流体在会聚和发散通道中的传热特性。研究了多孔介质中的杰弗里-哈默尔流动,分析了热源的影响。流动特性是由几个相关因素的作用决定的,这些因素是通过在控制方程中实现相似变量而得到的。这些规则有助于将一组方程的量纲形式转化为无量纲形式。利用MATLAB中的bvp4c例程函数,特别是龙格-库塔四阶函数,给出了方程组的数值解。然而,研究探讨了颗粒浓度、雷诺数、达西参数和热源等影响各流动特性的关键因素。重要的结果表明,与基液相比,CuO和MgO纳米颗粒的存在显著超过了电导率和传热速率。此外,流体速度受雷诺数增加的显著控制。
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引用次数: 0
Metal foams for enhanced boiling heat transfer: a comprehensive review 强化沸腾传热的金属泡沫:综合综述
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-10 DOI: 10.1007/s10973-024-13763-8
Abhilas Swain, Prashant Kumar Jha, Radha Kanta Sarangi, Satya Prakash Kar

Metallic foams have become a cutting-edge solution for many thermal management problems. These are of interest by thermal research community because of the cellular structure and have gas-filled pores inside a metal matrix. Due to the uniqueness in their structure, they exhibit good performance in boiling heat transfer because of the properties such as higher specific surface area, large number of nucleation sites, wettability characteristics, and capillary action. The boiling heat transfer over metal foam is a complex phenomenon, greatly affected by the thickness, porosity, and pores per inch (PPI) of metal foam along with the thermo-physical properties of the foam and boiling liquid. By thoroughly examining recent research investigations, the paper explains the impact of open-cell metal foams on pool boiling of different liquids such as water, refrigerants, organic liquids, and dielectric liquids. This paper reviews the complexity and various influencing factors involved in flow boiling through metal foam in tubes. It also highlights findings that show metal foam significantly enhances jet impingement boiling heat transfer. Moreover, the discussion on gradient metal foams, offering insights into their potential to enhance boiling heat transfer. The comprehensive review also encompasses numerical modeling studies, such as the lattice Boltzmann method, contributing to a deeper understanding of the intricate flow and heat transfer characteristics within channels filled with metal foam.

金属泡沫已经成为许多热管理问题的前沿解决方案。由于其细胞结构和金属基体内部充满气体的孔隙,热研究界对此非常感兴趣。由于其结构的独特性,它们具有较高的比表面积、大量的成核位点、润湿性和毛细作用等特性,在沸腾传热中表现出良好的性能。金属泡沫的沸腾传热是一种复杂的现象,它受金属泡沫的厚度、孔隙率、每英寸孔数(PPI)以及泡沫和沸腾液体的热物理性质的影响很大。通过对最近的研究调查,本文解释了开孔金属泡沫对不同液体(如水、制冷剂、有机液体和介电液体)池沸腾的影响。本文综述了金属泡沫管内流动沸腾过程的复杂性及其影响因素。它还强调了金属泡沫显著增强射流撞击沸腾传热的研究结果。此外,对梯度金属泡沫的讨论,提供了他们的潜力,以提高沸腾传热的见解。全面的回顾还包括数值模拟研究,如晶格玻尔兹曼方法,有助于更深入地了解充满金属泡沫的通道内复杂的流动和传热特性。
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引用次数: 0
Analysis of the flow and heat transfer performance of nonlinear variable cross-section microchannels based on analytical method 基于解析法的非线性变截面微通道流动传热特性分析
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-10 DOI: 10.1007/s10973-024-13811-3
Guanping Dong, Xingcheng Pan, Hong Zhang, Xiangyang Chen, Xiangyu Kong, Nanshou Wu, Zixi Wang

In this paper, a continuous microchannel with nonlinear cross section (M-NCS) applied to parallel plate heat exchangers is designed, and the M-NCS is quantitatively analyzed using an analytical calculation method. By comparing the M-NCS with the microchannel with a fixed cross section (M-FCS), it is deduced that under the same internal volume of the pipe and the same average flow velocity at the inlet, the internal flow rate of M-NCS is greater than that of M-FCS, with a local maximum increase of 43%, which can improve heat exchange efficiency. The Darcy friction factor of the internal fluid of M-NCS is smaller than that of M-FCS. The internal fluid pressure drop of the M-NCS is more significant, which requires a higher external pump energy required. It is also deduced that the average temperature change of the fluid inside M-NCS is larger than that inside M-FCS. In addition, the Nusselt number and convective heat transfer coefficient of the fluid inside M-NCS are larger than those of inside M-FCS. Moreover, the local maximum value of M-NCS is 18.5% higher than that of M-FCS. In summary, the obtained results show that, compared with M-FCS, M-NCS can improve the heat exchange degree and heat diffusion capacity of the fluid inside the microchannel pipe under the same inlet mass flow rate, allowing to enhance the heat transfer. This paper also studies the impact of the microchannel local structural changes on the heat transfer and fluid performance, which provides a theoretical support for the optimization of the microchannel design of heat exchangers.

设计了一种用于并联板式换热器的非线性截面连续微通道(M-NCS),并采用解析计算方法对M-NCS进行了定量分析。通过M-NCS与固定截面微通道(M-FCS)的对比,推导出在管道内部体积相同、进口平均流速相同的情况下,M-NCS的内部流量大于M-FCS,局部最大增幅可达43%,可以提高换热效率。M-NCS内部流体的达西摩擦系数小于M-FCS。M-NCS内部流体压降较大,对外部泵的能量要求较高。推导出M-NCS内部流体的平均温度变化大于M-FCS内部流体的平均温度变化。此外,M-NCS内部流体的努塞尔数和对流换热系数大于M-FCS内部流体的努塞尔数和对流换热系数。M-NCS的局部最大值比M-FCS高18.5%。综上所述,与M-FCS相比,在相同进口质量流量下,M-NCS可以提高微通道管内流体的换热程度和热扩散能力,从而增强传热。本文还研究了微通道局部结构变化对换热和流体性能的影响,为换热器微通道设计的优化提供了理论支持。
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引用次数: 0
Influence of the position of carbonyl group in ketones on their enthalpies of vaporization and saturated vapour pressures 酮中羰基位置对其汽化焓和饱和蒸气压的影响
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-10 DOI: 10.1007/s10973-024-13816-y
Aizat A. Samatov, Kirill S. Konyashin, Boris N. Solomonov, Ruslan N. Nagrimanov

Information about the structure-property relationship can be useful for the synthesis of compounds with desired properties, analysis of the role of intermolecular interactions in various physicochemical processes and separation of the synthesis product from impurities. In the present work, the influence of the position of the carbonyl group on the saturated vapour pressure and enthalpy of vaporization of ketones was studied. The saturated vapour pressures of isomeric decanones, undecanones and isophorone were measured by the transpiration method. The enthalpies of vaporization of isomeric ketones were determined using various methods: solution calorimetry, transpiration and correlation gas chromatography. The obtained values agree with each other within 1 kJ mol−1. It was shown that 2-alkanones have higher enthalpies of vaporization and lower vapour pressures than 3-, 4-, 5-, 6-alkanones, which can be explained by the stronger intermolecular interactions existing between the molecules of 2-alkanones compared to others isomers.

有关结构-性质关系的信息可用于合成具有所需性质的化合物,分析分子间相互作用在各种物理化学过程中的作用以及从杂质中分离合成产物。本文研究了羰基位置对酮类化合物饱和蒸汽压和汽化焓的影响。用蒸腾法测定了异构癸酮、十一酮和异佛酮的饱和蒸气压。用溶液量热法、蒸腾法和相关气相色谱法测定了同分异构体酮的蒸发焓。在1 kJ mol−1范围内,计算结果基本一致。结果表明,与3-、4-、5-、6-烷酮相比,2-烷酮具有更高的汽化焓和更低的蒸汽压,这可以解释为2-烷酮分子间的相互作用比其他异构体更强。
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引用次数: 0
Evaluation of flow simulation results of gray cast iron brake disk for alternative gating system design 备选浇注系统设计中灰铸铁制动盘流动模拟结果评价
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-09 DOI: 10.1007/s10973-024-13733-0
Ozgur Cem Kugu, Ozge Yetik

In this study, an attempt has been made to develop a different design for a gray cast iron rear brake disk used in the automotive industry, which can serve as an alternative to traditional designs. The designs were created to enable the production of this brake disk on the Disamatic vertical molding machine. The purpose of this study is to prevent casting defects that may occur in traditional designs. The simulation parameters were clearly explained and the correctness of the mesh structure was stated. These are the necessary parameters to show how reliable our study is. In order to minimize air bubble and sand inclusion defects encountered in the casting of a 4.5-kg automobile brake disk, different runner system simulations were performed and optimized instead of traditional runner system designs. Three different models were evaluated. The result of this study showed that the newly developed designs might be more useful than the traditional design. The resulting different filling profiles were directly associated with the gating system. The Reynolds number was used to indicate whether the liquid metal flow was turbulent or not, making it easier to make a sensible choice between designs. The designs were compared in terms of possible casting defects. The results revealed that the new designs had a more homogeneous filling profile and a lower risk of casting defects. It was found that design 2 was the most suitable option among the proposed models.

在本研究中,试图开发一种不同的设计,用于汽车工业的灰铸铁后制动盘,它可以作为传统设计的替代方案。这些设计是为了在Disamatic立式成型机上生产这种制动盘而创建的。本研究的目的是防止在传统设计中可能出现的铸造缺陷。对仿真参数进行了明确的说明,并说明了网格结构的正确性。这些是显示我们的研究有多可靠的必要参数。为了最大限度地减少4.5 kg汽车制动盘铸造过程中出现的气泡和夹杂砂缺陷,对不同的流道系统进行了模拟和优化,取代了传统的流道系统设计。评估了三种不同的模型。研究结果表明,新开发的设计可能比传统的设计更有用。由此产生的不同填充轮廓与浇注系统直接相关。用雷诺数来表示液态金属流动是否紊流,使设计更容易做出明智的选择。根据可能的铸造缺陷对设计进行了比较。结果表明,新的设计有一个更均匀的填充轮廓和铸造缺陷的风险较低。结果表明,设计2是最合适的选择。
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引用次数: 0
Thermal memory and moving linear thermal shocks on heat transfer within biological tissues: an Atangana Baleneau fractional integral 生物组织内热传递的热记忆和移动线性热冲击:Atangana Baleneau分数积分
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-09 DOI: 10.1007/s10973-024-13795-0
Usman Afzal, Nehad Ali Shah,  Zeeshan, Jae Dong Chung

Bioheat transfer is pivotal in a range of medical and daily applications, contributing to health and well-being. In hyperthermia treatment, it facilitates the elevation of temperatures in malignant tissues, thereby increasing their sensitivity to interventions such as radiation and chemotherapy, as well as in wearable monitoring devices, rehabilitation methods like heating pads and wraps, and electric blankets. This paper investigates the effects of thermal memory and dynamic linear thermal shocks on heat transfer within biological tissues. The research utilizes an advanced form of the Pennes equation for this analysis. The mathematical framework is based on an innovative time fractional generalized Fourier’s law, which can clarify particular aspects of atypical thermal diffusion phenomena. In the model being analyzed, the temperature gradient and its historical context influence the thermal flux. Additionally, at a specific location within the tissue, the thermal source induces a linear thermal shock at every instant. For both graphical and numerical simulations, Mathcad is employed to assess how the thermal memory parameter influences heat transfer.

生物热传递在一系列医疗和日常应用中至关重要,有助于健康和福祉。在热疗治疗中,它有助于提高恶性组织的温度,从而增加它们对放疗和化疗等干预措施的敏感性,以及可穿戴式监测设备、加热垫和包裹等康复方法和电热毯。本文研究了热记忆和动态线性热冲击对生物组织内传热的影响。这项研究利用了Pennes方程的一种高级形式来进行分析。数学框架是基于一个创新的时间分数广义傅立叶定律,它可以澄清非典型热扩散现象的特定方面。在所分析的模型中,温度梯度及其历史背景影响热通量。此外,在组织内的特定位置,热源在每个瞬间都会引起线性热冲击。对于图形和数值模拟,Mathcad被用来评估热记忆参数如何影响传热。
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引用次数: 0
Highly flame retardant and thermal conductive epoxy composites using curing agent and boron nitride modified by phosphorus containing group 以固化剂和含磷基团改性的氮化硼为基料的高阻燃、高导热环氧复合材料
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-09 DOI: 10.1007/s10973-024-13802-4
Yi Zhang, Bingtao Wang, Yan Xia, Li Zhang, Yingke Zhu, Zhenghong Guo, Juan Li

High flame retardancy and thermal conductivity are key performances for advanced electronic packaging materials. Herein, boron nitride (BN) and epoxy curing agent were chemically bonded with highly flame retardant DOPO moieties to obtain BN-DOPO thermal conductive filler and DOPO-PA curing agent with flame retardancy. The effect of BN-DOPO and DOPO-PA on the thermal stability, flame retardancy, combustion behavior and thermal conductive performance of EP composites were analyzed in detail. Compared with EP/Al(OH)3, up to 32.5% in LOI, V0 rating in UL-94, prolonged 125 s of TTI, 22% reduction of PHRR and 29% reduction of THR in cone test were observed when both BN-DOPO and DOPO-PA were incorporated into EP cross-linking network. According to the residual char morphology, the excellent flame retardancy of EP/Al(OH)3 composite containing BN-DOPO and DOPO-PA was attributed to the formation of compact front char covered by fluffy porous carbon and thick continuous back char with tiny aluminum oxide particles. Moreover, the introduction of a small amount of BN-DOPO and DOPO-PA could also greatly improve the thermal conductivity of EP/Al(OH)3 by 107% due to the better compatibility resulting in lower interface thermal resistance and more effective thermal transfer caused by the participation of BN-DOPO and DOPO-PA into epoxy curing reactions.

高阻燃性和高导热性是先进电子封装材料的关键性能。将氮化硼(BN)和环氧固化剂与高阻燃DOPO基团进行化学键合,得到BN-DOPO导热填料和具有阻燃性能的DOPO- pa固化剂。详细分析了BN-DOPO和DOPO-PA对EP复合材料热稳定性、阻燃性、燃烧性能和导热性能的影响。与EP/Al(OH)3相比,将BN-DOPO和DOPO-PA加入EP交联网络后,LOI可提高32.5%,UL-94的V0评级,TTI延长125 s,锥试验中PHRR降低22%,THR降低29%。从残炭形貌来看,含有BN-DOPO和DOPO-PA的EP/Al(OH)3复合材料具有优异的阻燃性能,原因在于其前部炭致密,表面覆盖蓬松多孔碳,后部炭厚且连续,氧化铝颗粒细小。此外,引入少量的BN-DOPO和DOPO-PA也可以使EP/Al(OH)3的导热系数提高107%,这是由于BN-DOPO和DOPO-PA参与环氧固化反应,具有更好的相容性,界面热阻更低,传热更有效。
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引用次数: 0
Comparison of tri-nanomaterial Darcy-Forchheimer flow using LNSA 三纳米材料Darcy-Forchheimer流动的LNSA比较
IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL Pub Date : 2024-12-09 DOI: 10.1007/s10973-024-13727-y
Priya Tak, Hemant Poonia

Viscoelastic liquids are of great interest for industrial and engineering applications due to their unique properties. This research presents a comparative examination of tri-nanomaterial Darcy-Forchheimer flow, involving Oldroyd-B, Maxwell, and Jeffrey (OMJ) nanofluids, over a permeable stretching sheet. The analysis integrates the influences of quadratic thermal radiation, activation energy, magnetic field, and heat source. Additionally, Buongiorno’s model has been utilized along with convective thermal boundary conditions. By leveraging local non-similar approach (LNSA), the modelled highly nonlinear partial differential equations (PDEs) are transformed into a set of ordinary differential equations (ODEs) which are further solved using the finite-difference-based bvp5c solver. It is determined that a rise in the Forchheimer parameter reduces the velocity field. The least and highest temperature profile is observed for Maxwell and Oldroyd-B nanofluids, respectively. It is further noted that per-unit increase in the Forchheimer parameter declines the drag coefficient by 15.43%, 23.87%, and 14.49% for Oldroyd-B, Maxwell, and Jeffrey nanofluid, respectively. As the temperature ratio raises, the heat transfer rate and mass transfer rate increase. Additionally, it is seen that the Oldroyd-B has the highest transfer rates followed by Jeffrey and Maxwell nanofluid.

Graphical abstract

粘弹性液体由于其独特的性质,在工业和工程应用中引起了极大的兴趣。本研究对三纳米材料Darcy-Forchheimer流动进行了比较研究,包括Oldroyd-B、Maxwell和Jeffrey (OMJ)纳米流体在可渗透拉伸片上的流动。该分析综合了二次热辐射、活化能、磁场和热源的影响。此外,还将Buongiorno模型与对流热边界条件结合使用。利用局部非相似方法(LNSA),将建模的高度非线性偏微分方程(PDEs)转化为一组常微分方程(ODEs),并利用基于有限差分的bvp5c求解器对其进行求解。可以确定,福希海默参数的增大减小了速度场。Maxwell和Oldroyd-B纳米流体的温度分布分别为最低和最高。此外,对于Oldroyd-B、Maxwell和Jeffrey纳米流体,Forchheimer参数每增加一个单位,阻力系数分别下降15.43%、23.87%和14.49%。随着温度比的增大,传热速率和传质速率增大。此外,Oldroyd-B纳米流体的传输速率最高,其次是Jeffrey纳米流体和Maxwell纳米流体。图形抽象
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引用次数: 0
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Journal of Thermal Analysis and Calorimetry
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