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On Entropy Generation and Heat Transfer Due to Magneto-Marangoni Convective γ Al2O3-H2O/C2H6O2 Nanofluid Flow Over a Porous Surface 磁-马兰戈尼对流 γ Al2O3-H2O/C2H6O2 纳米流体在多孔表面上流动时的熵生成与热传递
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-10-01 DOI: 10.1166/jon.2023.2103
Suresh Kumar, Sushila Choudhary, Anil Sharma
A numerical analysis is carried out for water/Ethylene Glycol based γ Al2O3 nanofluid movement over a horizontal permeable sheet placed within a porous medium using MATLAB package Bvp4c solver. Other flow controlling conditions like Non-linear thermal radiation and uniform Magnetic field are also considered for this study. The present study is novel in terms of entropy generation and heat transfer rate investigation for mentioned fluid system in the existence of dissipation (an irreversible process) and heat generation/absorption impact. First, a mathematical pattern is prepared in the form of partial differential equations to represent the Marangoni convection flow and temperature, considering suitable boundary conditions. Using similarity parameters, we convert our mathematical model in dimensionless form and then solved it. Accuracy of obtained data is also cross-checked with another numerical technique “Runge-Kutta fourth order” along with shooting process. Using velocity and temperature fields, entropy is measured for present system. From the plots, it is noted that entropy as well as Bejan number is qualitatively changed for parameters namely, volume fraction parameter, radiation parameter, Brinkmann number and heat generation/absorption parameter. It is noticed that heat transfer rate and entropy generation number is higher for γ Al2O3-C2H6O2 nano fluid then γ Al2O3-H2O nano fluid.
使用 MATLAB 软件包 Bvp4c 求解器对水/乙二醇基 γ Al2O3 纳米流体在多孔介质中水平渗透片上的运动进行了数值分析。本研究还考虑了其他流动控制条件,如非线性热辐射和均匀磁场。本研究的新颖之处在于,在存在耗散(不可逆过程)和热量产生/吸收影响的情况下,对上述流体系统的熵产生和传热速率进行了研究。 首先,考虑到合适的边界条件,我们用偏微分方程的形式编制了一个数学模式来表示马兰戈尼对流和温度。利用相似参数,我们将数学模型转换为无量纲形式,然后进行求解。此外,我们还使用另一种数值技术 "Runge-Kutta 四阶 "对所获得数据的准确性进行了交叉检验。利用速度场和温度场测量了本系统的熵。从图中可以看出,熵和贝扬数随参数(即体积分数参数、辐射参数、布林克曼数和发热/吸热参数)的变化而发生质的变化。我们注意到,γ Al2O3-C2H6O2 纳米流体的传热速率和熵产生数高于 γ Al2O3-H2O 纳米流体。
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引用次数: 0
The Combined Effect of Gravity Modulation and Throughflow on Thermal Instability in the Hele-Shaw Cell Filled with Oldroyd-B Nanofluid 重力调制和通流对充满 Oldroyd-B 纳米流体的 Hele-Shaw Cell 热不稳定性的综合影响
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-10-01 DOI: 10.1166/jon.2023.2049
B. Bhadauria, Anish Kumar, Awanish Kumar, S. Rai
This paper shows the combined effect of throughflow and gravity modulation on the stability of Oldroyd-B nanofluid filled in Hele-Shaw cell. Nanofluid compared to the base fluid has higher thermal conduction. The thermal conductivity of nanofluid increased and thus increases the amount of energy transferred. The Oldroyd-B fluid model is important because of its numerous applications such as production of plastic sheet and extrusion of polymers through a slit die in polymer industry, biological solution pant tars glues, etc. In linear stability analysis, we found the expression of the critical Hele-Shaw Rayleigh number by using the normal mode method. Two-term Fourier series method is used for non-linear stability analysis and is also considered the Brinkman model for flow of nanofluid in Hele-Shaw cell. In linear stability analysis, we observed that there is no effect of Oldroyd-B nanofluid, which means that Deborah number (λ1) and retardation parameter (λ2) do not affect the stability analysis. Oldroyd-B nanofluid is similar to ordinary nanofluid in linear analysis. In non-linear analysis, Deborah number, retardation parameter, throughflow, gravity modulation, and Hele-Shaw number play a major role in heat/mass transfer. Enhancement in both heat/mass transfer in the system while increasing throughflow and Deborah number. An increment in Hele-Shaw number (Hs), decreases heat/mass transfer in the system.
本文展示了通流和重力调制对填充在 Hele-Shaw 电池中的 Oldroyd-B 纳米流体稳定性的综合影响。与基础流体相比,纳米流体具有更高的热传导性。纳米流体的热传导率增加,从而增加了能量传递量。Oldroyd-B 流体模型之所以重要,是因为它应用广泛,例如聚合物工业中塑料板材的生产和聚合物通过狭缝模具的挤出、生物溶液中的泛碱胶水等。在线性稳定性分析中,我们使用法向模态法找到了临界 Hele-Shaw 雷利数的表达式。在非线性稳定性分析中,我们使用了二项傅里叶级数法,并考虑了 Hele-Shaw 单元中纳米流体流动的布林克曼模型。在线性稳定性分析中,我们观察到 Oldroyd-B 纳米流体没有影响,这意味着 Deborah 数(λ1)和延迟参数(λ2)不影响稳定性分析。在线性分析中,Oldroyd-B 纳米流体与普通纳米流体相似。在非线性分析中,Deborah 数、延迟参数、通流、重力调制和 Hele-Shaw 数对传热/传质起着重要作用。当增加通流和 Deborah 数时,系统中的热量/质量传递都会增强。Hele-Shaw 数(Hs)的增加会减少系统中的热量/质量传递。
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引用次数: 0
Optimizing Rapid Prototype Development Through Femtosecond Laser Ablation and Finite Element Method Simulation for Enhanced Separation in Microfluidics 通过飞秒激光烧蚀和有限元法模拟优化快速原型开发,增强微流体中的分离效果
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-10-01 DOI: 10.1166/jon.2023.2102
E. Hamad, Ahmed Albagdady, Samer I. Al-Gharabli, Hamza Alkhadire, Yousef Alnaser, Hakim Shadid, Ahmed Abdo, Andreas Dietzel, A. Al-Halhouli
In recent years, microfluidic systems have emerged as promising tools for blood separation and analysis. However, conventional methods for prototyping microfluidic systems can be slow and expensive. In this study, we present a novel approach to rapid prototyping that combines femtosecond laser ablation and finite element method (FEM) simulation. The optimization of the prototyping process was achieved through systematic characterization of the laser ablation process and the application of FEM simulation to predict the flow behavior of the microfluidic devices. Using a dean-coupled inertial flow device (DCIFD) that comprises one channel bend and three outlets side-channels. DCIF is a phenomenon that occurs in curved microfluidic channels and is considered by the existence of inconsequential flow patterns perpendicular to the main flow direction. The DCIF can enhance the separation efficiency in microfluidic devices by inducing lateral migration of particles or cells towards specific locations along the channel. This lateral migration can be controlled by adjusting the curvature and dimensions of the channel, as well as the flow rate and properties of the fluid. Overall, DCIF can provide a valuable means of achieving efficient and high-throughput separation of particles or cells in microfluidic devices. Therefore, various microfluidics designs that contain different outlet channels were studied in this research to improve blood plasma separation efficiency. Results from imitated blood flow experiments showed positive results for fluid flow and particle separation. The study also found that incorporating three various channel widths is the key to achieving efficient plasma separation, indicating that this result could serve as a guideline for future microfluidics geometry specifications in the field of blood plasma separation. According to the FEM simulation, the highest separation percentage for both microparticle sizes was obtained by incorporating a variable outlet channel width into the same microfluidic device. The FEM simulation revealed that around 95% of the larger microparticles separated while 98% of the smaller microparticles separated. This is consistent with the imitated blood separation results, which showed that 91% of the larger microparticles separated and around 93% of the smaller microparticles were separated. Overall, our results demonstrate that the combination of femtosecond laser ablation and FEM simulation significantly improved the prototyping speed and efficiency while maintaining high blood separation performance.
近年来,微流控系统已成为血液分离和分析的理想工具。然而,传统的微流控系统原型制作方法既缓慢又昂贵。在本研究中,我们提出了一种结合飞秒激光烧蚀和有限元法(FEM)模拟的新型快速原型制作方法。通过对激光烧蚀过程进行系统表征,并应用有限元模拟预测微流控器件的流动行为,实现了原型制作过程的优化。使用由一个弯曲通道和三个出口侧通道组成的德安耦合惯性流装置(DCIFD)。DCIF 是一种发生在弯曲微流体通道中的现象,是指存在与主流动方向垂直的不规则流动模式。DCIF 可诱导颗粒或细胞向通道上的特定位置横向迁移,从而提高微流体设备的分离效率。这种横向迁移可以通过调整通道的曲率和尺寸以及流速和流体特性来控制。总之,DCIF 是在微流体设备中实现颗粒或细胞高效、高通量分离的重要手段。因此,本研究对包含不同出口通道的各种微流控设计进行了研究,以提高血浆分离效率。模仿血流实验的结果表明,流体流动和颗粒分离效果良好。研究还发现,采用三种不同宽度的通道是实现高效血浆分离的关键,这表明该结果可作为未来血浆分离领域微流控几何规格的指导原则。根据有限元模拟,在同一微流体装置中加入可变出口通道宽度,可获得两种微粒尺寸的最高分离率。有限元模拟显示,约 95% 的较大微粒分离了,而 98% 的较小微粒分离了。这与模仿血液分离的结果一致,后者显示 91% 的较大微颗粒分离,约 93% 的较小微颗粒分离。总之,我们的研究结果表明,飞秒激光烧蚀与有限元模拟的结合大大提高了原型制作的速度和效率,同时保持了较高的血液分离性能。
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引用次数: 0
Magneto-Thermo Heat Transfer of a Chemically Reactive and Viscous Dissipative Casson Nanofluid Thin Film Over an Unsteady Stretching Surface with Variable Thermal Conductivity 具有化学反应和粘性耗散的卡松纳米流体薄膜在导热系数可变的非稳定拉伸表面上的磁热传导
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-10-01 DOI: 10.1166/jon.2023.2055
D. Pal, Debranjan Chatterjee
This paper addressed unsteady magnetohydrodynamic flow and heat transfer of an incompressible Casson nanofluid thin film past a stretching sheet by considering the features of thermal radiation, chemical reaction, and viscous dissipation. The problem is modeled mathematically, and the governing basic equations are brought into nonlinear ordinary differential equations by utilizing appropriate similarity transformations. Then the transformed equations are then solved numerically by using the bvp4c solver. The influences of pertinent physical variables are performed on velocity, temperature gradient, and nanoparticle concentration gradient profiles. It is seen that the profile of the nanoparticle concentration gradient enhances by increasing the values of the Schmidt number, whereas the opposite trends are observed by increasing the values of the thermophoresis parameter. It is also analyzed that by increasing the values of the thermophoresis parameter, there is an increase in the profiles of the temperature and concentration distributions. The computed results are obtained by giving main consideration to the convergence process and comparing them with the results existing in the literature.
本文通过考虑热辐射、化学反应和粘性耗散等特征,研究了不可压缩卡松纳米流体薄膜流过拉伸片的非稳态磁流体力学流动和传热问题。该问题采用数学模型,并通过适当的相似变换将支配基本方程转化为非线性常微分方程。然后使用 bvp4c 求解器对转换后的方程进行数值求解。研究了相关物理变量对速度、温度梯度和纳米粒子浓度梯度剖面的影响。结果表明,随着施密特数数值的增加,纳米粒子浓度梯度剖面会增大,而随着热泳参数数值的增加,则会出现相反的趋势。 此外,还分析了随着热泳参数值的增加,温度和浓度分布曲线也会增加。计算结果主要考虑了收敛过程,并与文献中已有的结果进行了比较。
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引用次数: 0
Effect of Magnetic Field and Impingement Jet on the Thermal Performance and Heat Transfer of Hybrid Nanofluids 磁场和撞击射流对混合纳米流体热性能和传热的影响
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-10-01 DOI: 10.1166/jon.2023.2100
B. Boudraa, R. Bessaïh
In this paper, we focus on modeling the flow and heat transfer behavior of SiO2–CuO/water hybrid-nanofluid impingement jet used for CPU cooling, where this flow is subject to a magnetic field. For this purpose, a new geometry has been adopted that contributes to the processor’s cooling while controlling the dynamic field and making it stable. The assessments were performed using two-phase mixture model under laminar forced convection flow setting. The working liquid consists of SiO2 and CuO nanoparticles with a diameter of 20 nm dispersed in the base fluid. The flow field, heat transfer, thermal efficiency, loss pressure and entropy production were analyzed in terms of volumetric concentration, Hartmann number, and Reynolds number. The simulation approach was applied to compare previous research findings, and a considerable agreement was established. Results indicate that the use of outside magnetic forces aids in maintaining the working fluid’s stability. Boosting the Hartmann number to maximum values increases pressure drop and pumping power while lowering system efficiency by 5%, 5% and 19%, respectively. Compared to pure water, hybrid nanofluids yield to a considerable drop in mean CPU temperature up to 10 K. The hybrid nanofluid’s efficiency improves as the Reynolds number and nanoparticle volume fraction rise, where the improvement in the best conditions reaches up to 21% and 27%, respectively. Using the following nanoparticles: SiO2, CuO and SiO2–CuO improves the Nusselt number of the base fluid by 15%, 36% and 30%, respectively. While the pressure drop values increase by 5%, 17% and 11%. Regarding the entropy production, the results reveal that the total entropy values increase slowly with the volume fraction of the nanoparticles, and the maximum increase does not exceed 5% in the best case. On the other hand, the increase in the total entropy values reaches 50% when Ha = 20. Lastly, two correlations for the Nusselt number and the friction factor are suggested, with errors of no more than ±9% and ±7%, respectively.
在本文中,我们重点模拟了用于 CPU 冷却的二氧化硅-氧化铜/水混合纳米流体撞击射流的流动和传热行为,这种流动受到磁场的影响。为此,我们采用了一种新的几何形状,有助于处理器的冷却,同时控制动态磁场并使其稳定。评估是在层流强制对流设置下使用两相混合物模型进行的。工作液由分散在基液中直径为 20 纳米的 SiO2 和 CuO 纳米颗粒组成。根据体积浓度、哈特曼数和雷诺数分析了流场、传热、热效率、损失压力和熵的产生。应用该模拟方法对之前的研究成果进行了比较,得出了相当一致的结论。结果表明,使用外部磁力有助于保持工作流体的稳定性。将哈特曼数提高到最大值会增加压降和泵送功率,同时将系统效率分别降低 5%、5% 和 19%。 混合纳米流体的效率随着雷诺数和纳米粒子体积分数的增加而提高,在最佳条件下分别提高了 21% 和 27%。使用以下纳米粒子SiO2、CuO 和 SiO2-CuO 可将基础流体的努塞尔特数分别提高 15%、36% 和 30%。而压降值则分别增加了 5%、17% 和 11%。关于熵的产生,结果显示总熵值随着纳米颗粒体积分数的增加而缓慢增加,在最佳情况下最大增幅不超过 5%。另一方面,当 Ha = 20 时,总熵值的增幅达到 50%。最后,提出了努塞尔特数和摩擦因数的两个相关系数,误差分别不超过 ±9% 和 ±7%。
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引用次数: 0
Influence of Variable Viscosity on Entropy Generation Analysis Due to Graphene Oxide Nanofluid Flow 变粘度对氧化石墨烯纳米流体流动熵产分析的影响
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-06-01 DOI: 10.1166/jon.2023.2026
Jagadeeshwar Pashikanti, D. R. Susmitha Priyadharshini
Conventional investigations on fluid flows are undertaken with an assumption of constant fluid properties. But in reality, the properties such as viscosity and thermal conductivity vary with temperature. In such cases, considering these variabilities aids in modelling the flows with accuracy. Particularly, studying the flow of graphene based nanofluids with variable properties makes the best of both the advantageous thermophysical properties of graphene nanoparticles in heat transfer and the variable fluid properties in accuartely modelling the flow. In this article, the flow of graphene oxide nanofluid along a linearly stretching cylinder under no-slip and convective boundary conditions is investigated, by taking the base fluid viscosity to be a temperature dependant function. Buongiorno model is adapted to develop the flow of graphene nanofluids including the influence of variable heat source, cross-diffusion effects and the effects of nanoparticle characteristics such as thermophoresis and Brownian motion. The modelled equations are transformed and are numerically solved using linearization method. The impacts of embedded parameters including the Dufour and Soret numbers on temperature, concentration and velocity profiles of the chosen nanofluid and their consequent impacts on the predominant cause for the generated entropy are studied. The obtained results are depicted and interpreted in detail. From the tabulated values of skin friction and the values of Sherwood and Nusselt numbers, it is inferred that the conductive heat and mass transfer can be enhanced by variable viscosity parameter and skin friction can be reduced by Soret number. Furthermore, entropy generation is analysed and Bejan number is calculated to be lesser than 0.5, thus demonstrating the dominance of irreversibilty to fluid friction and mass transfer.
传统的流体流动研究是在流体性质恒定的假设下进行的。但在现实中,粘度和导热系数等性质随温度而变化。在这种情况下,考虑这些可变性有助于准确地对流进行建模。特别是,研究具有可变性质的石墨烯基纳米流体的流动,可以充分利用石墨烯纳米颗粒在传热方面的有利热物理性质和精确模拟流动的可变流体性质。在本文中,研究了氧化石墨烯纳米流体在无滑移和对流边界条件下沿线性拉伸圆柱体的流动,并将基液粘度作为温度相关函数。采用Buongiorno模型来模拟石墨烯纳米流体的流动,包括变热源的影响、交叉扩散效应以及纳米颗粒热泳动和布朗运动等特性的影响。对模型方程进行变换,并采用线性化方法进行数值求解。研究了嵌入参数(包括Dufour数和Soret数)对所选纳米流体的温度、浓度和速度分布的影响,以及它们对产生熵的主要原因的影响。对所得结果进行了详细的描述和解释。从表中示出的表面摩擦值和Sherwood数和Nusselt数可以推断,可变粘度参数可以增强导热传热和传质,Soret数可以减小表面摩擦。此外,对熵产生进行了分析,并计算出Bejan数小于0.5,从而表明流体摩擦和传质的不可逆性占主导地位。
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引用次数: 0
Investigation of Various Cooling Nanofluids in a Partially Heated Horizontal Circular Tube 部分加热水平圆管中各种冷却纳米流体的研究
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-06-01 DOI: 10.1166/jon.2023.2029
Aicha Bouhezza, Abdelghani Laouer, M. Teggar, O. Kholai
Enhancement of cooling performance of heat transfer fluids can contribute to downsizing of thermal systems. Analysis of thermal behavior of four cooling water based nanofluids (CuO, Al2O3, ZnO and SiO2) in a circular duct is carried. Modeling of heat transfer and fluid flow is based on 3D non-linear differential elliptical equations and finite volume method approach. The Brownian motion is considered in modeling of the nanofluid behavior. A code is developed based on SIMPLER and TDMA algorithms. Hydrodynamic and thermal fields are examined for nanoparticles volume fractions range 0% ≤ Φ ≤ 4% and spherical nanoparticles mean diameter in the range 27 nm ≤ dnp ≤ 78 nm. Results show that the local and circumferentially average Nusselt number increases with increasing the nanoparticles volume fraction and decreases with the nanoparticles size. The maximum local Nu is observed at the bottom of the duct. SiO2–water nanofluid shows the best thermal performance as well as the strongest secondary flow. Increasing the nanoparticles volume fraction increases the secondary flow strength. Using 4 vol.% nanoparticles of 27 nm mean diameter improves Nu by 12%, 7%, 5%, and 3.7% for SiO2, Al2O3, ZnO, CuO, respectively, when compared to the cooling performance of water alone.
提高传热流体的冷却性能有助于热系统的小型化。对四种水基纳米流体(CuO、Al2O3、ZnO和SiO2)在圆形管道中的热行为进行了分析。传热和流体流动的建模是基于三维非线性微分椭圆方程和有限体积法。在纳米流体行为的建模中考虑了布朗运动。开发了基于simple算法和TDMA算法的代码。研究了纳米颗粒体积分数为0%≤Φ≤4%,球形纳米颗粒平均直径为27 nm≤dnp≤78 nm范围内的水动力和热场。结果表明,局部和周向平均努塞尔数随纳米颗粒体积分数的增加而增大,随纳米颗粒尺寸的增大而减小。在管道底部观察到最大的局部Nu。sio2 -水纳米流体表现出最佳的热性能和最强的二次流。增加纳米颗粒体积分数可提高二次流强度。使用体积百分比为4、平均直径为27 nm的纳米颗粒,与水相比,SiO2、Al2O3、ZnO和CuO的冷却性能分别提高了12%、7%、5%和3.7%。
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引用次数: 0
Numerical Solutions of Casson-Nano Fluid Flow Past an Isothermal Permeable Stretching Sheet: MHD, Thermal Radiation and Transpiration Effects Casson纳米流体流过等温可渗透拉伸片的数值解:MHD、热辐射和蒸腾效应
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-06-01 DOI: 10.1166/jon.2023.2034
S. Reddy, P. Valsamy, D. Reddy
The Runge-Kutta Shooting Technique may be used to discover numerical solutions by the absence of magnetic field, thermal radiation, then transpiration consequence for viscous, incompressible, electrically conducting with combination of Casson and Nano-fluids that approach an isothermal permeable non-linearly stretched sheet. The governing equations for this fluid flow were transformed keen on non-linear ODEs using the similarity quantities. Visualizations of velocities, temperatures, and concentrations illustrate the mathematics behind the issue. According to tabular data, these flow regulating factors affect the coefficient of friction for skin-friction, heat transfer, and mass flow coefficients. Program code validation literature has been compared to the new numerical findings. It has been shown that flow characteristics are greatly affected by the amount of air that is exhaled. The study’s applications include industrial Nano-technological manufacturing processes. In this current work, the speed profiles are diminishing growing values of Casson fluid limitation as well as decreases by growing values of Magnetic field & Suction/Injection parameters. With increasing effects Brownian motion and Thermophoresis temperature profiles are increase. As the values of Thermal radiation of limitation enhances, the temperature profiles are also increases. The concentration profiles are increasing with increasing values of Thermophoresis parameter and reverse effect observed in case of Brownian motion effect. Also, concentration profiles decreases with increasing values of Lewis number.
龙格-库塔射击技术可用于发现粘性、不可压缩、导电的Casson和Nano流体组合在没有磁场、热辐射的情况下的数值解,这些流体接近等温可渗透的非线性拉伸薄板。该流体流动的控制方程使用相似量在非线性常微分方程上进行了转换。速度、温度和浓度的可视化说明了这个问题背后的数学原理。根据表格数据,这些流量调节因素影响表面摩擦的摩擦系数、传热系数和质量流量系数。程序代码验证文献已与新的数值结果进行了比较。已经表明,流动特性在很大程度上受到呼出的空气量的影响。该研究的应用包括工业纳米技术制造过程。在目前的工作中,速度分布随着Casson流体限制值的增加而减小,同时随着磁场和吸入/注入参数值的增加也在减小。随着效应的增加,布朗运动和热电泳的温度分布也在增加。随着限制热辐射值的增加,温度分布也会增加。浓度分布随着热电泳参数值的增加而增加,在布朗运动效应的情况下观察到反向效应。此外,浓度分布随路易斯数的增加而减小。
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引用次数: 1
Non-Newtonian Casson Fluid Behaviour in the Presence of Nanofluid Particles During MHD Flow Through a Vertical Cone Filled With Porous Material 纳米流体颗粒存在下MHD流过多孔材料垂直锥体时的非牛顿卡森流体行为
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-06-01 DOI: 10.1166/jon.2023.2035
M. Sathyanarayana, T. R. Goud
The flow of nanofluids around a vertical cone with porous media and Casson fluid characteristics is being looked at in this study. Thermophoresis, Brownian motion, and chemical reactions are also looked at. There are some ways to change the connected partial differential equations into a set of third-order ordinary differential equation with variable coefficients. This is called a similarity transformation. The Runge-Kutta method is used to solve third-order boundary layer equations. Physical processes, such as Epidermis slippage, velocity, temperature, but instead fluid density, mass transfer, heat transference coefficients, besides rate of heat handover coefficients, may be studied in this research. These processes may be looked at in this study. There are graphs that show a lot of different physical processes. Current numerical results are compared to results that have been published in the past to make sure computer programmes work. The resultant velocity profiles are decreasing utilising an increasing trendy captivating field as a result of Lorentz potency. Species concentration of Casson-When the oxidizing agent factor is increased, the microspheres decrease. Temperature profile areas a result of the rise in Thermo Scattering movements but instead heat conduction and Brownian motion parameters. Also, roles about increasing values of Biot number and this same criterion of radiant heat would be to surge the room’s temperature hybrid Nanofluid flow as well as rate of heat flows so at exterior. Concentration profiles remain rising with increasing the morals of Thermo migration limitation and contrary effect occurs as a consequence of Brownian motion parameter.
本研究着眼于纳米流体在具有多孔介质的垂直锥体周围的流动和Casson流体特性。还研究了热泳、布朗运动和化学反应。有一些方法可以将连接的偏微分方程转化为一组三阶变系数常微分方程。这被称为相似性变换。采用龙格-库塔方法求解三阶边界层方程。物理过程,如表皮滑移、速度、温度,但除了热传递系数外,还可以研究流体密度、传质、传热系数。这些过程可以在本研究中加以考察。有一些图表显示了许多不同的物理过程。将当前的数值结果与过去发表的结果进行比较,以确保计算机程序正常工作。由于洛伦兹势的结果,利用日益流行的吸引场,得到的速度剖面正在减小。Casson的物种浓度当氧化剂因子增加时,微球减少。温度分布区域是热散射运动上升的结果,而不是热传导和布朗运动参数的结果。此外,增加Biot数和辐射热的相同标准的作用是使室温混合纳米流体的流动以及外部的热流率激增。随着热迁移极限道德的提高,浓度分布仍在上升,而布朗运动参数则产生相反的影响。
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引用次数: 0
Flow Analysis of a Micropolar Nanofluid Between Two Parallel Disks in the Presence of a Magnetic Field 磁场作用下两个平行圆盘间微纳流体的流动分析
IF 4.1 Q3 NANOSCIENCE & NANOTECHNOLOGY Pub Date : 2023-06-01 DOI: 10.1166/jon.2023.2021
Reshu Gupta, D. Agrawal
The present article addresses the steady and laminar magnetohydrodynamics (MHD) flow of a micropolar nanofluid between two porous disks. The fluid is flowing uniformly in the inward and upward directions from both disks. The microrotation of the nanoparticles acts an important role in the flow regime. To show its significance, a comparative study of the analytical results and numerical results is presented. Titanium dioxide is chosen as nanoparticles in the water-based fluid. An appropriate transformation is used for transforming PDEs into ODEs. These nonlinear ODEs are computed by the differential transform method (DTM). The consequences of the Reynolds number, material parameter, and magnetic parameter on the radial velocity, axial velocity, and microrotation profile are graphically presented and discussed. The results calculated by DTM and the results calculated numerically are compared and tabulated. This comparison shows the accuracy and validity of DTM. The coefficient of skin friction is also tabulated and compared with the numerical result. At the end of this study, it is concluded that the behavior of the radial and the axial velocities and the microrotation profile are almost the same in the case of the Reynolds number and the magnetic field parameters.
本文讨论了微极性纳米流体在两个多孔圆盘之间的稳定层流磁流体力学(MHD)流动。流体从两个圆盘向内和向上均匀流动。纳米颗粒的微旋转在流动状态中起着重要作用。为了表明其意义,对分析结果和数值结果进行了比较研究。二氧化钛被选为水基流体中的纳米颗粒。适当的变换用于将偏微分方程变换为常微分方程。这些非线性ODE是通过微分变换方法(DTM)计算的。雷诺数、材料参数和磁参数对径向速度、轴向速度和微旋转剖面的影响用图形表示并讨论。将DTM计算的结果与数值计算的结果进行比较并制成表格。这一比较表明了DTM的准确性和有效性。表中还列出了表面摩擦系数,并与数值结果进行了比较。在本研究的最后,得出结论,在雷诺数和磁场参数的情况下,径向和轴向速度的行为以及微旋转轮廓几乎相同。
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Journal of Nanofluids
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