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Simulation and design of a solar chimney integrated with phase change material layer for building ventilation 模拟和设计集成相变材料层的建筑通风太阳能烟囱
Q1 Chemical Engineering Pub Date : 2024-09-14 DOI: 10.1016/j.ijft.2024.100853

The development of modern life requires new energy sources, and one of this energy is renewable solar energy uses in solar chimney for natural ventilation, but at the present time it is not greatly invested, taking into account the weather conditions of the region and the physical characteristics of solar radiation and air in the area in which the study will be conducted. The current study was carried out in Basrah city- Iraq, at longitude 47.749° and latitude 30.568°, where the solar chimney was facing south. The investigation was conducted using both theoretical and experimental studied. In the theoretical study, the solar chimney with the room in the presence and absence of PCM was simulated numerically using the finite volume method using the soft package ANSYS-Fluent/2021/R2. The effect of different tilt angles (α = 30°, 45°, and 60°), solar chimney air gap (gab = 10 cm, 15 cm, and 20 cm), and PCM basin thickness (tPCM = 3 cm, 4 cm, and 5 cm) were investigated. The results were presented in the form of contours of the distribution of streamlines, velocity, temperature, and liquid fraction of the solar chimney with the room, rate of temperature of the absorber plate with time and the rate of temperature of the PCM (TPCM) with time, rate of air change per hour (ACH). As for the experimental side, the device was built, and the intensity of solar radiation was studied for several days on 30 Sep. and 15 Oct. 2023, the temperature distribution rate of the absorbent plate over time, the PCM temperature rate, and the air change per hour (ACH). The theoretical results were compared with the experimental results, where there was good agreement, and the theoretical comparison was also made with several researchers. Significant results showed that the optimal ratio of the air gap width of the solar chimney is 15 cm, the inclination angle of the solar chimney α = 30°, and the thickness of the PCM basin (tPCM = 4 cm) to obtain the maximum ventilation rate. The thickness of the PCM basin = 4 cm gives the largest liquid fraction along time and maximum average temperature of the absorber plate. On the experimental, it was found that PCM convert into the liquid phase after its melting point, which is 340 K, after 12 noon, and the highest value of ACH reached 37 on September 30/2023 at midday.

现代生活的发展需要新能源,其中一种能源是用于自然通风的太阳能烟囱中使用的可再生太阳能,但考虑到该地区的天气条件以及研究地区的太阳辐射和空气的物理特性,目前该能源的投入并不多。本次研究在伊拉克巴士拉市进行,该市位于东经 47.749°,北纬 30.568°,太阳能烟囱朝南。调查采用了理论和实验两种研究方法。在理论研究中,使用 ANSYS-Fluent/2021/R2 软件包,采用有限体积法对存在和不存在 PCM 的房间太阳能烟囱进行了数值模拟。研究了不同倾斜角度(α = 30°、45° 和 60°)、太阳能烟囱空气间隙(gab = 10 厘米、15 厘米和 20 厘米)和 PCM 盆厚度(tPCM = 3 厘米、4 厘米和 5 厘米)的影响。研究结果以流线分布、速度、温度、太阳能烟囱与房间的液体比例、吸收板温度随时间的变化率、PCM(TPCM)温度随时间的变化率、每小时换气次数(ACH)的等值线形式呈现。在实验方面,我们建造了该装置,并在 2023 年 9 月 30 日和 10 月 15 日连续几天研究了太阳辐射强度、吸收板随时间的温度分布率、PCM 温度率和每小时换气次数(ACH)。将理论结果与实验结果进行了比较,结果吻合良好,同时还与几位研究人员进行了理论比较。显著的结果表明,太阳能烟囱的气隙宽度为 15 厘米、太阳能烟囱的倾斜角度 α = 30°、PCM 盆的厚度(tPCM = 4 厘米)的最佳比例可获得最大通风率。PCM 盆的厚度 = 4 cm 时,吸收板沿时间方向的液体分数最大,平均温度最高。实验发现,PCM 在中午 12 点之后会在其熔点(340 K)之后转化为液相,ACH 的最高值在 2023 年 9 月 30 日中午达到 37。
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引用次数: 0
Numerical study of the porous cavity with different square size vanes with a high focus on Nusselt number 对带有不同方形叶片的多孔空腔进行数值研究,重点关注努塞尔特数
Q1 Chemical Engineering Pub Date : 2024-09-14 DOI: 10.1016/j.ijft.2024.100860

This study extensively analyzes various regular and irregular vanes in pipe porous cavities on natural convection, thermal entropy generation, stream function, and temperature distribution in fluid and solid phases. The finite element method (FEM) is employed to study stream function, temperature distribution in the fluid phase and solid phase, and various γ for Nuf, ave and Nus, ave in SR, TR, SIR, and TIR. In the present study, a significant contribution of this research is the investigation into the effects of regular versus irregular vanes in the context of enclosures formed by pipe porous cavities that the SIR specimen has the most influence on stream function and thermal effect in the fluid phase and solid phase that aims to enhance system performance and optimize energy efficiency. In addition, the significant influence of geometrical parameters constitutes many heated obstacles in the middle of SIR, various heated vanes in the left of SIR, and employed Ra and ε in the analysis of Nuf, ave and Nus, ave in SIR are carried out to investigate the percentage discrepancies obtained, notably 89.35 % and 89.72 %, respectively. In validation, the calculation in results was adapted accurately to the finite element method's stream function, the temperature distribution in the fluid phase and solid phase, and various γ for Nuf, ave and Nus, ave which means that the percentage differences in obtaining results reached under 1 %. Numerical results revealed that the Hartman number has a significant influence in Shtf, ave,  Shts, ave,  Tyave, Nuf, ave and Nus, ave in TR, SR, TIR, and SIR.

本研究广泛分析了管道多孔空腔中各种规则和不规则叶片对自然对流、热熵产生、流函数以及流体和固体相温度分布的影响。采用有限元法(FEM)研究了 SR、TR、SIR 和 TIR 中的流函数、流体相和固体相的温度分布以及 Nuf, ave 和 Nus, ave 的各种 γ。在本研究中,本研究的一个重要贡献是调查了在由管道多孔空腔形成的围护结构中,规则叶片与不规则叶片的影响,发现 SIR 试样对流体相和固体相中的流功能和热效应影响最大,其目的是提高系统性能和优化能源效率。此外,在分析 SIR 中的 Nuf, ave 和 Nus, ave 时,还采用了 Ra 和 ε,研究了 SIR 中许多受热障碍物和左侧各种受热叶片构成的几何参数的重要影响,得出的差异百分比分别为 89.35 % 和 89.72 %。在验证过程中,计算结果准确地适应了有限元法的流函数、流体相和固体相的温度分布以及 Nuf, ave 和 Nus, ave 的不同 γ,这意味着计算结果的百分比差异低于 1%。数值结果表明,哈特曼数对 TR、SR、TIR 和 SIR 中的 Shtf、ave、Shts、ave、Tyave、Nuf、ave 和 Nus、ave 有显著影响。
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引用次数: 0
A critical review of the thermal-hydraulic performance of fin and tube heat exchangers using statistical analysis 利用统计分析对鳍片和管式热交换器的热液压性能进行严格审查
Q1 Chemical Engineering Pub Date : 2024-09-13 DOI: 10.1016/j.ijft.2024.100858

Fin and tube heat exchangers (FTHE) find widespread application in a variety of industries including refrigeration, air conditioning, automotive, electronics, and power generation. Current research on FTHE is focused on developing heat exchangers that are compact, cost-effective, and energy efficient. This review paper is focused on the quantitative assessment and comparison of the thermal-hydraulic performance of different type of FTHE. Analysis of variance is used to determine the most important performance factors and their interactions for the considered type of FTHE. A comparative analysis of the thermal-hydraulic performance of different FTHE types is conducted based on Nusselt number, friction factor, and normalized performance evaluation index (NPEI). Finally, a parametric study is carried out to investigate the impact of significant performance parameters on the thermal-hydraulic characteristics of the respective FTHE type. Louvered FTHE and modified FTHE with vortex generators outperform the plain and wavy FTHE in terms of NPEI. This comprehensive review offers significant insights for enhancing the thermal-hydraulic performance of different type of FTHE and selecting the appropriate type tailored to specific application requirements.

翅片管式热交换器(FTHE)广泛应用于制冷、空调、汽车、电子和发电等多个行业。目前有关翅片管式热交换器的研究主要集中在开发结构紧凑、经济高效和节能的热交换器上。这篇综述论文的重点是对不同类型 FTHE 的热液压性能进行定量评估和比较。本文采用方差分析来确定所考虑的 FTHE 类型中最重要的性能因素及其相互作用。根据努塞尔特数、摩擦因数和归一化性能评估指数(NPEI),对不同类型 FTHE 的热-水力性能进行了比较分析。最后,还进行了参数研究,以探讨重要性能参数对不同类型 FTHE 热液压特性的影响。就 NPEI 而言,百叶窗式 FTHE 和带涡流发生器的改进型 FTHE 优于普通型和波浪型 FTHE。本综述为提高不同类型 FTHE 的热液压性能和选择适合特定应用要求的类型提供了重要启示。
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引用次数: 0
Scrutiny of pseudoplastic nanofluid flow under the influence of magnetic hydrodynamics with chemical reaction across the cylinder with slip boundary condition 滑移边界条件下磁流体力学影响下跨圆柱体化学反应的伪塑性纳米流体流动研究
Q1 Chemical Engineering Pub Date : 2024-09-13 DOI: 10.1016/j.ijft.2024.100848

Buoyantly induced flows possess diversified utilizations in numerous engineering processes for instance, reactor cooling through passive strategy, LED lights, pipes manufacturing, ship funnel and many more. Galvanized sheets sticked to form a hollow cylinder is used for fast cooling in naval ship and chimney of steam power plant. In view of such mesmerizing significance of flow and thermal attributes of fluid over vertical cylinder, current effort is articulated. For this purpose, Williamson fluid model is accounted and nanoparticles are also induced to envision advanced thermal features in the flow over vertically oriented cylinder. Physical effectiveness of magnetic field implications and chemical reactive species are entertained to notice change in hydrothermal and mass fields. Slip boundary constraint along with stagnant flow at the surface of cylinder is considered to inspect behavior in free stream region. The fundamental governing equations of problem are attained in the sense of PDEs by utilizing the concept of boundary layer approximation and converted into coupled nonlinear ODEs by substituting specific similar variables. Numerically the resulting ODEs are resolved by making the use of bvp4c built in MATLAB routine, the outcomes are attained and arranged in graphical and tabular manner. The influence of pertinent flow parameters such as (0.1 ≤ We ≤ 1.0), (1.0 ≤ M ≤ 3.0), (1.0 ≤ Pr ≤ 11), thermophoresis parameter (0.5 ≤ Tp ≤ 4.5), (1.0 ≤ Bp ≤ 5.0), (0.05 ≤ Nr ≤ 0.7), and (0.5 ≤ Kc ≤ 5.0) are examined on the momentum, thermal and concentration distributions. It is manifested that the velocity distribution depreciates by uplifting magnetic field strength. Increment in magnitude of wall drag and convective heat transfer is perceived by enhancing Prandtl number. It is inferred that friction coefficient in absolute sense and heat flux coefficient tends to exceed against elevation in (We). From comprehensive analysis, declination in velocity and thermal field is depicted versus Reynold number whereas, contrary aspects are visualized in concentration. Enhancement in the value of surface drag and thermal flux is revealed versus (Re).

浮力诱导流在许多工程过程中都有多种用途,例如通过被动策略冷却反应堆、LED 灯、管道制造、船舶漏斗等。将镀锌板粘贴成空心圆柱体,可用于军舰和蒸汽发电厂烟囱的快速冷却。鉴于流体在垂直圆柱体上的流动和热属性具有如此重要的意义,目前正在进行相关研究。为此,对威廉姆森流体模型进行了核算,并诱导纳米粒子来设想垂直方向圆柱体上流动的高级热特征。磁场影响和化学反应物种的物理效果可用于观察热液场和质量场的变化。考虑了滑动边界约束和圆柱体表面的停滞流,以检查自由流区域的行为。利用边界层近似的概念,从 PDE 的意义上获得了问题的基本控制方程,并通过替换特定的类似变量将其转换为耦合非线性 ODE。利用 MATLAB 例程中内置的 bvp4c 对所产生的 ODE 进行数值求解,并以图形和表格的方式对结果进行排列。研究了相关流动参数(0.1≤We≤1.0)、(1.0≤M≤3.0)、(1.0≤Pr≤11)、热泳参数(0.5≤Tp≤4.5)、(1.0≤Bp≤5.0)、(0.05≤Nr≤0.7)和(0.5≤Kc≤5.0)对动量、热量和浓度分布的影响。结果表明,磁场强度升高,速度分布下降。壁面阻力和对流传热的增加是通过提高普朗特数来实现的。推断出摩擦系数的绝对值和热流系数随着(We)的升高而增大。通过综合分析,速度和热场随雷诺数的变化而减弱,而浓度则相反。表面阻力和热通量的数值随(Re)的变化而增加。
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引用次数: 0
The effect of initial pressure and temperature on the flow in a three-dimensional cavity filled with paraffin/Cu nanostructure with a wavy lower wall and a movable upper wall using molecular dynamics simulation 利用分子动力学模拟研究初始压力和温度对充满石蜡/铜纳米结构(下壁为波浪形,上壁为活动壁)的三维空腔中流动的影响
Q1 Chemical Engineering Pub Date : 2024-09-13 DOI: 10.1016/j.ijft.2024.100862

Phase change materials (PCMs) are very suitable for the storage of thermal energy. Heat transfer plays a crucial role in many important industrial processes in today's industrial environment. Thus, it is crucial to examine and comprehend this occurrence properly. This work uses molecular dynamic simulation to examine the effect of initial pressure (IP) and temperature (Temp) on the thermal efficiency of phase change materials inside a three-dimensional cavity. The hollow contains paraffin/Cu nanoparticles and has a bottom wall with a wavy shape and an upper wall that can be adjusted. The results of the equilibration stage indicated that the kinetic and potential energies converge to 2100 eV and -95472.50 eV after 10 ns. Next, the results show that increasing IP resulted in the reduction of maximum velocity and Temp, which decreased from 0.0099 Å/ps and 898 K to 0.0090 Å/ps and 888 K. Furthermore, the results show that by increasing IP, the heat flux and thermal conductivity decrease from 9.95 W/m2 and 1.45 W/m.K to 8.89 W/m2 and 1.26 W/m.K. Conversely, as the initial Temp rose from 300 to 350 K, so did the velocity (0.0125 Å/ps) and Temp (990 K). Furthermore, the thermal conductivity and heat flux increased to 1.69 W/mK and 11.25 W/m2, respectively. This study reveals how molecular dynamics simulations provide insights into the effects of initial pressure and temperature on the flow and thermal behavior of a paraffin/copper nanostructure. The findings improve understanding of nanofluid and phase change material behavior, aiding the design of more efficient PCM-based systems for thermal energy storage and heat transfer applications. In general, the results of this research illuminate the complex relationship among IP, Temp, and thermal properties of phase change materials. This knowledge is of great significance as it can guide the formulation of novel approaches to enhance the thermal efficiency of these materials in practical applications.

相变材料(PCM)非常适合储存热能。在当今的工业环境中,热传导在许多重要的工业流程中发挥着至关重要的作用。因此,正确研究和理解这种现象至关重要。本研究利用分子动力学模拟来研究初始压力(IP)和温度(Temp)对三维空腔内相变材料热效率的影响。空腔包含石蜡/铜纳米颗粒,底壁呈波浪形,上壁可调节。平衡阶段的结果表明,10 ns 后,动能和势能分别收敛到 2100 eV 和 -95472.50 eV。接着,结果表明,增加 IP 会导致最大速度和温度降低,从 0.0099 Å/ps 和 898 K 下降到 0.0090 Å/ps 和 888 K。此外,结果表明,随着 IP 的增加,热通量和热导率分别从 9.95 W/m2 和 1.45 W/m.K 降至 8.89 W/m2 和 1.26 W/m.K。此外,热导率和热通量分别增加到 1.69 W/mK 和 11.25 W/m2。这项研究揭示了分子动力学模拟如何深入了解初始压力和温度对石蜡/铜纳米结构的流动和热行为的影响。这些发现加深了人们对纳米流体和相变材料行为的理解,有助于设计更高效的基于 PCM 的热能存储和热传递应用系统。总的来说,这项研究成果阐明了 IP、温度和相变材料热特性之间的复杂关系。这些知识具有重要意义,因为它可以指导制定新的方法,以提高这些材料在实际应用中的热效率。
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引用次数: 0
Statistical and numerical analysis of magnetic field effects on laminar natural convection heat transfer of nanofluid in a hexagonal cavity 磁场对六边形空腔中纳米流体层流自然对流传热影响的统计与数值分析
Q1 Chemical Engineering Pub Date : 2024-09-12 DOI: 10.1016/j.ijft.2024.100856

This paper presents a statistical and numerical investigation that examines the optimization and sensitivity analysis of the unsteady laminar natural convective heat transfer flow of Fe3O4-water nanofluid in a hexagonal cavity considering the impacts of a sloping magnetic field in one-component nanofluid model. The inclined walls of the cavity are maintained at a constantly low temperature, while the bottom wall is uniformly heated. The upper wall, however, is regarded as adiabatic. The nanofluid thermal conductivity model incorporates the impact of Brownian motion. The Galerkin weighted residual finite element method has been employed to solve the governing dimensionless equations. The results are provided regarding the average Nu, streamlines, and isotherms. The study uses response surface methodology to analyze the sensitivity of parameters such as the Ha, Ra, and nanoparticle volume percentage. Using a response surface policy allows for optimizing the process and identifying the most favorable circumstances to achieve the maximum thermal transfer rate. The flow pattern of the nanofluid is significantly affected by the magnetic field and its alignment. The numerical results indicate a significant rise in the average Nu as the nanoparticle volume percentage, magnetic field inclination angle, nanoparticle type factor, and Ra increase. Conversely, the Hartmann number and the nanoparticle's diameter have contrasting effects. When considering Brownian motion, the average Nu grows by 225.89 % for Ra = 106 with ϕ = 0.03 and 25.28 % for the other case. The optimal condition for heat transfer occurs when Ra = 106, Ha = 4, and ϕ =0.03 while keeping the other parameters constant.

本文通过统计和数值研究,考察了单组分纳米流体模型中考虑倾斜磁场影响的六角形空腔中 Fe3O4-水纳米流体的非稳态层流自然对流传热流的优化和敏感性分析。空腔的倾斜壁始终保持低温,而底壁则均匀受热。上壁则被视为绝热。纳米流体导热模型包含布朗运动的影响。采用 Galerkin 加权残差有限元法求解无量纲方程。提供了有关平均 Nu、流线和等温线的结果。研究采用响应面方法分析了 Ha、Ra 和纳米颗粒体积百分比等参数的敏感性。使用响应面策略可以优化工艺,确定最有利的情况,以实现最大热传导率。纳米流体的流动模式受到磁场及其排列的显著影响。数值结果表明,随着纳米粒子体积百分比、磁场倾角、纳米粒子类型系数和 Ra 的增加,平均 Nu 值也会显著上升。相反,哈特曼数和纳米粒子直径的影响则截然不同。当考虑布朗运动时,Ra = 106、j = 0.03 时的平均 Nu 增长了 225.89%,而其他情况下的平均 Nu 增长了 25.28%。当 Ra = 106、Ha = 4 和 ϕ = 0.03 时,热传递达到最佳状态,其他参数保持不变。
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引用次数: 0
Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations 具有双向性质变化的功能分级圆柱形材料中的双相-滞后非傅里叶热传导的修正与新研究前沿
Q1 Chemical Engineering Pub Date : 2024-09-11 DOI: 10.1016/j.ijft.2024.100861

This study presents a novel and corrective analysis of Dual-Phase-Lag (DPL) non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations. For general purposes, the 2-D DPL model was employed and solved in a polar coordinate system for an FGM cylinder whose material properties vary exponentially in the axial and radial directions. The proposed model's analytical and numerical solutions were obtained through the SOV method and implicit FDM with a non-uniform grid. Moreover, the effect of the inhomogeneity parameter in the Fourier, Cattaneo–Vernotte (C–V), and DPL models has been analyzed. The results indicate that the DPL model achieves temperature stability in less time when contrasted with the C–V model. In addition, the reduced inhomogeneity parameters result in quicker attainment of a steady temperature and the induction of higher temperatures. The thermal wave propagation in the DPL model is consistently greater than that in the C–V model. In addition, an increase in time lag for heat flux enhances thermal wave properties (amplitude, wavelength, propagation speed etc.); conversely, an increase in time lag for temperature gradient counteracts wave properties and augments heat release. Nevertheless, the present outcomes offer a straightforward multivariate analytical and numerical solution for a finite cylinder's non-Fourier heat conduction equation under diverse boundary conditions.

本研究对具有双向属性变化的功能分级圆柱材料中的双相滞后(DPL)非傅里叶热传导进行了新颖的修正分析。一般而言,对于材料属性在轴向和径向呈指数变化的 FGM 圆柱体,采用二维 DPL 模型并在极坐标系中求解。通过 SOV 方法和非均匀网格的隐式 FDM,获得了所提模型的分析和数值解。此外,还分析了傅立叶、卡塔尼奥-弗诺特(C-V)和 DPL 模型中不均匀参数的影响。结果表明,与 C-V 模型相比,DPL 模型能在更短的时间内实现温度稳定性。此外,非均质参数的减少导致更快地达到稳定温度,并诱发更高的温度。DPL 模型中的热波传播始终大于 C-V 模型。此外,热通量时滞的增加会增强热波特性(振幅、波长、传播速度等);相反,温度梯度时滞的增加会抵消热波特性并增加热量释放。尽管如此,目前的成果为有限圆柱体在不同边界条件下的非傅里叶热传导方程提供了直接的多元分析和数值解决方案。
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引用次数: 0
Rapid parameter estimation of modified Gompertz and Logistic model for analyzing the growth of Escherichia Coli K2 用于分析大肠杆菌 K2 生长的改良冈培兹和 Logistic 模型的快速参数估计
Q1 Chemical Engineering Pub Date : 2024-09-10 DOI: 10.1016/j.ijft.2024.100851

Bacteria are living microorganisms that play an essential role in the biodegradation process. They can break down and detoxify harmful substances, thereby mitigating environmental contamination through natural means. The Gompertz and Logistic models are two growth models commonly utilized to examine population growth in biological systems. In this study, we have modified these models to investigate the growth of Escherichia Coli K2 bacteria. The mathematical parameters have been substituted with biologically meaningful parameters, and five new estimation methods have been introduced to evaluate the model parameters using standard growth data for E. Coli K2. The best method is selected based on a standardized criterion used in this study. The proposed methods demonstrate strong performance, and the estimated parameters are both logically coherent and biologically relevant.

细菌是活的微生物,在生物降解过程中发挥着重要作用。它们可以分解有害物质并解毒,从而通过自然途径减轻环境污染。Gompertz 模型和 Logistic 模型是研究生物系统种群增长的两个常用增长模型。在本研究中,我们对这两个模型进行了修改,以研究大肠杆菌 K2 的生长情况。我们用具有生物学意义的参数替代了数学参数,并引入了五种新的估算方法,利用大肠杆菌 K2 的标准生长数据对模型参数进行评估。根据本研究采用的标准化标准,选出了最佳方法。所提出的方法表现出很强的性能,估算出的参数既符合逻辑,又与生物相关。
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引用次数: 0
Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature 表面温度均匀的管道中三级流体加热/冷却时的粘性耗散效应
Q1 Chemical Engineering Pub Date : 2024-09-07 DOI: 10.1016/j.ijft.2024.100854

Forced convection in Newtonian and non-Newtonian fluids flowing through pipes maintained at uniform heat flux or uniform wall temperature are important for understanding heat transfer characteristics in design and thermal management of heat exchangers. Convective heat transfer in both Newtonian and non-Newtonian fluids flowing through pipes and parallel plates, subjected to uniform wall heat flux condition, were extensively studied by researchers. But for uniform wall temperature, studies on non-Newtonian fluids in pipes are rarely considered. Forced convective heating and cooling of a third-grade fluid, flowing in a pipe subjected to uniform (constant) wall temperature is considered. Effect of viscous dissipation is included in the energy equation. Separate energy conservation equations for heating and cooling are formulated and their dimensionless forms are obtained. Numerical solutions by shooting technique are obtained for the governing equations. The same equations are also solved by the least square method and semi-analytical solutions are yielded. Least square method is a widely used semi-analytical tool used for solving non-linear differential equations. Results of the numerical solution and semi-analytical solutions are compared and are observed to be in close agreement. This validates the numerical solution. Few important observations are presented. For heating, when the non-Newtonian parameter increases from 0 – 0.1, the peak temperature drops from 1.15 – 0.55 which occurs at the centre. In case of cooling, when non-Newtonian parameter increases from 0 – 0.1, the difference in central line temperature and wall temperature increases to 0.17 from 0.09. For change in the non-Newtonian parameter from 0.2 – 0.3, both for heating and cooling the peak temperature change is not drastic. Heat transfer coefficient, in case of heating, differs by nearly 3.5 when the non-Newtonian parameter increases from 0 – 0.1.

牛顿和非牛顿流体在保持均匀热通量或均匀壁温的条件下流经管道时的强制对流对于了解热交换器设计和热管理中的传热特性非常重要。研究人员对在均匀壁面热通量条件下流经管道和平行板的牛顿和非牛顿流体的对流传热进行了广泛研究。但对于管壁温度均匀的情况,很少考虑对管道中的非牛顿流体进行研究。本研究考虑了在均匀(恒定)壁温条件下,在管道中流动的第三级流体的强制对流加热和冷却。能量方程中包含粘性耗散的影响。分别制定了加热和冷却的能量守恒方程,并获得了它们的无量纲形式。通过射流技术获得了控制方程的数值解。同样的方程也用最小平方法求解,并得到半解析解。最小平方法是一种广泛用于求解非线性微分方程的半解析工具。将数值解法和半解析解法的结果进行比较,发现两者非常接近。这验证了数值解法。本文介绍了一些重要的观察结果。对于加热,当非牛顿参数从 0 增加到 0.1 时,峰值温度从 1.15 降到 0.55,出现在中心位置。在冷却情况下,当非牛顿参数从 0 增加到 0.1 时,中心线温度与壁面温度之差从 0.09 增加到 0.17。当非牛顿参数在 0.2 - 0.3 之间变化时,加热和冷却的峰值温度变化都不大。当非牛顿参数从 0 增加到 0.1 时,加热时的传热系数相差近 3.5。
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引用次数: 0
Significances of melting heat transfer and bioconvection phenomena in nanofluid flow over a three different geometries 三种不同几何形状的纳米流体流动中熔融传热和生物对流现象的意义
Q1 Chemical Engineering Pub Date : 2024-09-07 DOI: 10.1016/j.ijft.2024.100855

This study addresses the numerical investigation of the steady and two-dimensional flow of magnetohydrodynamic nanofluid containing motile microorganisms over three distinct configurations: a wedge, a plate, and the stagnation point of a flat plate. The impacts of activation energy, melting phenomena, thermophoresis, and Brownian motion are taken into account. The dimensionless form of the governing coupled nonlinear partial differential equations is obtained by using similarity transformations. The system of ordinary differential equations is numerically solved using the “bvp4c” solver in MATLAB, and obtained results are also validated with an analytical approach Optimal Auxiliary Function Method (OAFM). Skin friction, heat, mass and motile microorganisms transfer rates are discussed through graphs and tables. Findings indicate that profile for Nusselt number enhances for higher inputs of melting parameter while Sherwood number lowers with increasing inputs of activation energy parameter. An improving pattern of velocity profiles is magnificent for stagnation point flow [f(η = 1) = 0.943711] compared to wedge [f(η = 1) = 0.915698]and horizontal plate [f(η = 1) = 0.868617]with respect to wedge angle parameter keeping velocity ratio parameter A < 1. For the wedge surface, the temperature profiles decrease [θ(η = 1.5) = 0.933075,  0.895245,  0.858931] for increasing inputs of radiation parameter (2.5 ≤ Nr ≤ 4.5) while motile microorganism profiles enhance [χ(η = 1.3) = 0.532505,  0.621569,  0.690635] with bioconvection Schmidtt number (0.3 ≤ Sb ≤ 0.7) respectively. Furthermore, it was found that, as velocity slip parameter increases then velocity of fluid also improves over a plate, wedge, and stagnation point of a flat plate considering velocity ratio parameter A < 1 .

本研究针对含有运动微生物的磁流体在楔形、平板和平板停滞点三种不同构型上的稳定二维流动进行了数值研究。研究考虑了活化能、熔化现象、热泳和布朗运动的影响。通过相似性变换,得到了支配耦合非线性偏微分方程的无量纲形式。使用 MATLAB 中的 "bvp4c "求解器对常微分方程组进行了数值求解,并用分析方法最优辅助函数法(OAFM)对所获结果进行了验证。通过图表讨论了皮肤摩擦、热量、质量和运动微生物的传递率。研究结果表明,熔化参数输入越高,努塞尔特数曲线就越高,而活化能参数输入越高,舍伍德数曲线就越低。与楔形流[f(η = 1) = 0.915698]和水平板流[f(η = 1) = 0.868617]相比,在保持速度比参数 A < 1 的情况下,停滞点流[f(η = 1) = 0.943711]的速度曲线有明显改善。5)=0.933075,0.895245,0.858931],而随着生物对流施密特数(0.3≤Sb≤0.7)的增加,运动微生物的剖面分别增加了[χ(η=1.3)=0.532505,0.621569,0.690635]。此外,研究还发现,随着速度滑移参数的增加,考虑到速度比参数 A < 1,流体在平板、楔形和停滞点上的速度也会提高。
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International Journal of Thermofluids
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