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Effect of Wavy Interface on Natural Convection in Square Cavity Partially Filled with Nanofluid and Porous Medium using Buongiorno Model 使用 Buongiorno 模型研究波浪形界面对部分填充纳米流体和多孔介质的方形空腔中自然对流的影响
Pub Date : 2024-06-04 DOI: 10.37394/232013.2024.19.22
Cherifa Benygzer, M. Bouzit, Abderrahem Mokhefi
nvective heat transfer improvement from wavy surfaces presents a new solution in industrial engineering for composite materials, including porous medium, and nanofluids to address the wavy irregular surfaces in heat transfer devices such as a wavy solar collector, energy absorption and filtration, thermal insulation, and geothermal power plants. This technique enables the performance of engineering applications. The numerical study is performed to examine the effects of a wavy interface separating two layers in the enclosure on heat exchange rates. This paper investigates numerically the natural convection flow in a square cavity partially filled with nanofluid-porous layers separated by a wavy horizontal interface. The left and right walls of the cavity are maintained at constant hot and cold temperatures, whereas the other walls are adiabatic. The Buongiorno model is used to describe nanofluid motion, taking into account the brownian and thermophoresis effects in the cavity. The Galerkin finite element method was applied to solve the differential governing equations. The dynamic, thermal field and heat transfer have been analyzed for various parameters such as Rayleigh number (10^3 ≤ Ra ≤ 10^6), the amplitude of interface (0 ≤ A ≤ 0.1), and undulation number (0 ≤ n ≤ 9). The results reveal that the flow intensity induced by buoyancy forces is more significant in the nanofluid layer than in the porous layer, since the heat transfer is enhanced while the flow is not sensitive to variations in amplitude and number undulation, and accordingly, the decline of average Nusselt and Sherwood numbers is insignificant. The effects of controlled parameters on the structure of nanofluid flow, heat, and mass transfer rate are insignificant.
波浪形表面的对流传热改进为复合材料(包括多孔介质)和纳米流体的工业工程提供了一种新的解决方案,以解决波浪形太阳能集热器、能量吸收和过滤、隔热和地热发电厂等传热设备中的波浪形不规则表面问题。这项技术可以提高工程应用的性能。数值研究的目的是考察分隔围护结构中两层的波浪形界面对热交换率的影响。本文用数值方法研究了在一个部分充满纳米流体多孔层的正方形空腔中的自然对流。空腔的左壁和右壁保持恒定的冷热温度,而其他壁则为绝热。考虑到空腔中的布朗效应和热泳效应,采用 Buongiorno 模型来描述纳米流体的运动。伽勒金有限元法用于求解微分控制方程。分析了瑞利数(10^3 ≤ Ra ≤ 10^6)、界面振幅(0 ≤ A ≤ 0.1)和起伏数(0 ≤ n ≤ 9)等不同参数下的动态、热场和传热情况。结果表明,浮力在纳米流体层引起的流动强度比在多孔层引起的流动强度更大,因为传热增强了,而流动对振幅和起伏数的变化并不敏感,因此平均努塞尔特数和舍伍德数的下降并不明显。控制参数对纳米流体的流动结构、传热和传质速率的影响都不大。
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引用次数: 0
Improvement of Aerodynamic Performance of NACA 2412 Airfoil using Active and Passive Control Techniques 利用主动和被动控制技术改善 NACA 2412 翼面的空气动力性能
Pub Date : 2024-05-14 DOI: 10.37394/232013.2024.19.20
Paramesh T., Tshering Tenzin, Mohammad Sarwar, Ahmad Mujeeb Azizi, Habte Getaneh, Tamal Jana
The study of aerodynamic characteristics plays a crucial role in the design and performance evaluation of various airfoil profiles. In this study, a comprehensive investigation of the modified NACA 2412 airfoil has been carried out, focusing on its aerodynamic characteristics and performance. To improve the aerodynamic characteristics and to delay the stall, active and passive control techniques are introduced. The computational investigation is carried out using commercial software Ansys Fluent. Especially, the Reynolds-Averaged Navier Stokes (RANS) equation is numerically computed employing the K-omega SST turbulence model. The active control is implemented using four microjets, each having diameters of 3 mm, 4 mm, and 5 mm, placed upstream of the flow separation location of the uncontrolled airfoil. The jet exit velocity is maintained the same as the freestream flow velocity. For each case, the tangential orientations of the jets are varied from 2 to 10 degrees with an increment of 2 degrees. Besides, the impact of jet separation distance is also evaluated. On the other hand, the passive control method is introduced by deploying vortex generators (VG) with varying heights of 2 mm, 3 mm, and 4 mm, placed upstream of the separation location. Aerodynamic characteristics, including Lift, Drag, and Stall angle, are measured to assess performance. The study reveals that microjets with a diameter of 5 mm at a 2-degree tangential orientation perform best with a maximum of 11.33% increase in lift coefficient (Cl). For all the three sizes of microjets, the drag coefficients (Cd) are minimum for 2-degree tangential orientation. Besides, the vortex generator of height 2 mm demonstrates superior performance with a maximum of 4% increase in lift coefficient. For both cases, the stall angle of the airfoil is delayed by 28.57%. In addition, except 2mm height of the vortex generator, all other vortex generators lead to an increase in drag coefficient. Importantly, the microjets are proved to be more efficient than the vortex generator in delaying the flow separation thereby reducing the drag and increasing the aerodynamic efficiency of the airfoil.
气动特性研究对各种翼面的设计和性能评估起着至关重要的作用。本研究对改进型 NACA 2412 机翼进行了全面研究,重点关注其气动特性和性能。为了改善气动特性和延迟失速,引入了主动和被动控制技术。计算研究使用商业软件 Ansys Fluent 进行。特别是采用 K-omega SST 湍流模型对雷诺平均纳维-斯托克斯(RANS)方程进行了数值计算。主动控制是通过四个微型喷射器实现的,每个喷射器的直径分别为 3 毫米、4 毫米和 5 毫米,放置在未受控翼面流动分离位置的上游。射流出口速度与自由流速度保持一致。在每种情况下,射流的切线方向以 2 度为增量,从 2 度到 10 度不等。此外,还评估了射流分离距离的影响。另一方面,还引入了被动控制方法,即在分离位置的上游部署高度分别为 2 毫米、3 毫米和 4 毫米的涡流发生器(VG)。通过测量空气动力特性(包括升力、阻力和失速角)来评估性能。研究结果表明,切线方向为 2 度、直径为 5 毫米的微型喷嘴性能最佳,升力系数(Cl)最大增加了 11.33%。对于所有三种尺寸的微喷嘴,切向 2 度时的阻力系数(Cd)最小。此外,高度为 2 毫米的涡流发生器表现出更优越的性能,升力系数最大增加了 4%。在这两种情况下,机翼的失速角都延迟了 28.57%。此外,除了高度为 2 毫米的涡流发生器外,其他涡流发生器都会导致阻力系数增加。重要的是,事实证明微射流在延迟气流分离方面比涡流发生器更有效,从而减少了阻力,提高了机翼的气动效率。
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引用次数: 0
Bioinspired Genetic-Algorithm Optimized Ground-Effect Wing Design: Flight Performance Benefits and Aircraft Stability Effects 生物启发遗传算法优化地效翼设计:飞行性能优势和飞机稳定性影响
Pub Date : 2024-05-02 DOI: 10.37394/232013.2024.19.19
Karl Zammit, Howard Smith, Noel Sierra Lobo, Ioannis K. Giannopoulos
This paper presents a bioinspired, genetic-algorithm evolutionary process for Ground-Effect vehicle wing design. The study made use of a rapid aerodynamic model generation and results evaluation computational fluid dynamics vortex lattice method software, supervised by a genetic algorithm optimization Python script. The design space for the aircraft wing parametric features drew inspiration from seabirds, under the assumption of their wings being naturally evolved and partially optimized for proximity flight over water surfaces. A case study was based on the A-90 Orlyonok Russian Ekranoplan, where alternative bioinspired wing variations were proposed. The study objective was to investigate the possible increased flight aircraft performance when using bioinspired wings, as well as verify the static and dynamic aircraft stability compliance for Ground-Effect flight. The methodology presented herein along with the study results, provided an incremental step towards advancing Ground-Effect aircraft conceptual designs using computational fluid dynamics.
本文介绍了地效飞行器机翼设计的生物启发遗传算法进化过程。该研究利用快速气动模型生成和结果评估计算流体力学涡流晶格法软件,并在遗传算法优化 Python 脚本的监督下进行。飞机机翼参数特征的设计空间从海鸟中汲取灵感,假设它们的机翼是自然进化而来,并针对水面近距离飞行进行了部分优化。案例研究以 A-90 Orlyonok 俄罗斯 Ekranoplan 为基础,提出了其他生物启发的机翼变体。研究目的是调查在使用生物启发机翼时可能提高的飞机飞行性能,以及验证飞机在地效飞行时的静态和动态稳定性。本文介绍的方法和研究结果为利用计算流体力学推进地效飞行器概念设计迈出了重要一步。
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引用次数: 0
Three-dimensional Effects on Gap-Resonances in Twin-Hull Vessels in Time-Harmonic Vertical Oscillations 双壳船在时谐垂直振荡中的间隙回声三维效应
Pub Date : 2024-05-02 DOI: 10.37394/232013.2024.19.18
G. Vernengo
Three-dimensional effects induced by dimensional ratios on the gap resonances happening in twin hull vessels oscillating in forced vertical motion have been analyzed. They can lead to relevant consequences, such as the amplification of the inner radiated waves or the generation of standing waves in between the demi-hulls, that can have a direct effect on the operating profile of the vessel. The response of twin hull vessels in waves can be strongly affected by these resonant phenomena. Also, some of these behaviors can be exploited in the framework of wave energy conversion systems. The present analysis is carried out by using an open-source, linear, Boundary Element Method (BEM), based on the Green function approach. Mathematical backgrounds of the added mass and damping coefficients computation for a floating body under harmonic vertical oscillation are provided as well as details of the numerical discretization used in the BEM. A panel mesh sensitivity study is carried out and the numerical prediction is validated by comparison against available experimental data, another CFD solution obtained by a high-fidelity viscous solver based on the open-source libraries Open-FOAM and approximate analytic formulations. The effect of the beam ratio and the length-to-beam ratio on the resonant phenomena has been analyzed. This has been achieved by systematic variations of the geometric dimensions of the hull, focusing on the trends of the hydrodynamic coefficients, the amplitude of the radiated waves, and the location of the resonant frequencies over the analyzed range.
我们分析了在强制垂直运动中发生振荡的双壳船舶中,由尺寸比引起的间隙共振所产生的三维效应。这些影响会导致相关后果,如内部辐射波放大或在双壳之间产生驻波,从而对船舶的运行剖面产生直接影响。双壳船在波浪中的响应会受到这些共振现象的强烈影响。此外,在波浪能转换系统的框架中也可以利用其中的一些行为。本分析采用基于格林函数方法的开源线性边界元素法(BEM)进行。提供了计算谐波垂直振荡下浮体的附加质量和阻尼系数的数学背景,以及 BEM 中使用的数值离散化细节。通过与现有实验数据、基于开源库 Open-FOAM 的高保真粘性求解器获得的另一种 CFD 解法以及近似解析公式进行比较,对数值预测进行了验证。分析了梁比和长梁比对共振现象的影响。这是通过系统地改变船体的几何尺寸来实现的,重点是流体力学系数的变化趋势、辐射波的振幅以及共振频率在分析范围内的位置。
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引用次数: 0
Transient MHD Fluid Flow Past a Moving Vertical Surface in a Velocity Slip Flow Regime 速度滑移流态下流体流经移动垂直面的瞬态多流体力学流动
Pub Date : 2024-03-06 DOI: 10.37394/232013.2024.19.10
Ighoroje W. A. Okuyade, T. M. Abbey
The problem of unsteady MHD fluid flow past a moving vertical surface in a slip flow regime is presented. The model is built on the assumption that the flow is naturally convective with oscillating time-dependent and exponentially decaying suction and permeability, double-diffusion, viscous dissipation, and temperature gradient-dependent heat source, and non-zero tangential velocity at the wall; the fluid is viscous, incompressible, Newtonian, chemically reactive, and magnetically susceptible; the surface is porous, and electrically conductive, and thermally radiative. The governing partial differential equations are highly coupled and non-linear. For easy tractability, the equations are reduced to one-dimensional using the one-dimensional unsteady flow theory. The resulting equations are non-dimensionalized and solved using the time-dependent perturbation series solutions, and the Modified Homotopy Perturbation Method (MHPM). The solutions of the concentration, temperature, velocity, rates of mass and heat diffusion, and wall shear stress are obtained, computed, and presented graphically and quantitatively, and analyzed. The results among others, show that the increase in the: Schmidt number increases the fluid concentration, velocity, the rate of heat transfer to the fluid, and the stress on the wall, but decreases the rate of mass transfer to the fluid; Magnetic field parameter decreases the fluid velocity and stress on the wall; Slip parameter increases the flow velocity, but decreases the stress on the wall; Permeability parameter increases the flow velocity and the stress on the wall. These results are benchmarked with the reports in existing literature and they agree.
本文提出了在滑移流动状态下流经移动垂直表面的非稳态 MHD 流体流动问题。该模型基于以下假设建立:流体为自然对流,吸力和渗透率随时间变化且呈指数衰减,具有双扩散、粘性耗散和随温度梯度变化的热源,壁面切向速度不为零;流体为粘性、不可压缩、牛顿式、化学反应性和易磁性流体;表面为多孔、导电和热辐射表面。控制偏微分方程是高度耦合和非线性的。为了便于理解,利用一维非稳态流理论将方程简化为一维方程。由此产生的方程被非一维化,并使用时变扰动序列解法和修正同调扰动法(MHPM)进行求解。对浓度、温度、速度、质量和热扩散率以及壁面剪应力进行了求解、计算、图解和定量分析。结果表明,施密特数的增加会增加流体的温度、速度和壁面剪应力:施密特数增加了流体浓度、流速、流体传热速率和壁面应力,但降低了流体传质速率;磁场参数降低了流体流速和壁面应力;滑移参数增加了流速,但降低了壁面应力;渗透性参数增加了流速和壁面应力。这些结果与现有文献中的报告进行了比对,结果一致。
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引用次数: 0
Propagation of Waves in a Fluid in a Thin Elastic Cylindrical Shell 流体中的波在薄弹性圆柱壳中的传播
Pub Date : 2024-03-06 DOI: 10.37394/232013.2024.19.11
Durdimurod Durdiyev, I. Safarov, M. Teshaev
The oscillatory process of a viscoelastic shell of a cylindrical tipe filled with a liquid is considered. Unlike other works, this paper focuses on the viscoelastic properties of a cylindrical shell and a liquid. Differential equations for joint vibrations of a shell and liquid are obtained by the equations of a thin shell that satisfies the Kirchhoff–Love hypotheses, and the equations of motion of a viscous liquid obey the Navier–Stokes equation. After simple transformations, the integro-differential equations are reduced to ordinary differential equations and solved using Godunov's orthogonal run method combined with Muller's method. Based on the developed algorithm, natural frequencies and corresponding vibration modes were obtained. For steady-state oscillations, all eigenvalues and eigenmodes turned out to be complex. For the first time, it was found that the damping coefficient branches out after certain values of wave numbers. It was found that the motion in a cylindrical shell is localized on the surface of the shell. At slow localization, starting from a certain wave number, the natural oscillations become aperiodic.
本文考虑了充满液体的圆柱形管状粘弹性壳体的振荡过程。与其他著作不同的是,本文重点研究了圆柱形壳体和液体的粘弹性能。壳体和液体联合振动的微分方程由满足基尔霍夫-洛夫假设的薄壳方程求得,粘性液体的运动方程服从纳维-斯托克斯方程。经过简单变换后,将积分微分方程还原为常微分方程,并使用戈杜诺夫正交运行法结合穆勒法进行求解。根据所开发的算法,得到了固有频率和相应的振动模式。对于稳态振荡,所有特征值和特征模态都是复数。首次发现阻尼系数在波数达到一定值后会出现分支。研究发现,圆柱形壳体中的运动在壳体表面局部化。在缓慢局部化时,从某个波数开始,自然振荡会变成非周期性的。
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引用次数: 0
Unsteady Compressed Williamson Fluid Flow Behavior under the Influence of a Fixed Magnetic Field (Numerical Study) 固定磁场影响下的非稳态压缩威廉姆森流体流动行为(数值研究)
Pub Date : 2024-02-29 DOI: 10.37394/232013.2024.19.8
A. El Harfouf, Rachid Herbazi, S. Mounir, H. Mes-Adi, A. Wakif
A numerical investigation is conducted into a two-dimensional mathematical model of magnetized unsteady incompressible Williamson fluid flow over a sensor surface with fixed thermal conductivity and external squeezing accompanied by viscous dissipation effect. Based on the flow geometry under consideration, the current flow model was created. The momentum equation takes into consideration the magnetic field when describing the impact of Lorentz forces on flow behavior. The energy equation takes varying thermal conductivity into account while calculating heat transmission. The extremely complex nonlinear, unstable governing flow equations for the now under investigation are coupled in nature. Due to the inability of analytical or direct methods, the Runge-Kutta scheme (RK-4) via similarity transformations approach is used to tackle the physical problem under consideration. The physical behavior of various control factors on the flow phenomena is described using graphs and tables. For increasing values of the Weissenberg parameter and the permeable velocity parameter, the temperature boundary layer thickens. As the permeable velocity parameter and squeezed flow index increased, the velocity profile shrank. The velocity profile grows as the magnetic number rises. Squeezed flow magnifying increases the Nusselt number's magnitude. Furthermore, the extremely complex nonlinear complex equations that arise in fluid flow issues are quickly solved by RK-4. The current findings in this article closely align with the findings that have been reported in the literature.
对传感器表面上的磁化非稳态不可压缩威廉姆森流体流动的二维数学模型进行了数值研究,该模型具有固定的热导率和外部挤压,并伴有粘性耗散效应。根据所考虑的流动几何形状,建立了电流流动模型。在描述洛伦兹力对流动行为的影响时,动量方程考虑到了磁场。能量方程在计算热传导时考虑了不同的热传导率。目前正在研究的极其复杂的非线性、不稳定控制流动方程是耦合性质的。由于无法使用分析或直接方法,因此采用 Runge-Kutta 方案 (RK-4) 通过相似性变换的方法来解决所考虑的物理问题。各种控制因素对流动现象的物理行为通过图表和表格进行了描述。随着韦森伯格参数和渗透速度参数值的增加,温度边界层变厚。随着渗透速度参数和挤压流指数的增加,速度剖面缩小。速度剖面随着磁数的增加而增大。挤压流放大了努塞尔特数的大小。此外,流体流动问题中出现的极其复杂的非线性复杂方程可以通过 RK-4 快速求解。本文目前的研究结果与文献报道的结果非常吻合。
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引用次数: 0
A study for an Optimization of Cutting Fluids in Machining Operations by TOPSIS and Shannon Entropy Methods 采用 TOPSIS 和香农熵法优化加工操作中的切削液的研究
Pub Date : 2024-02-29 DOI: 10.37394/232013.2024.19.9
Pankaj Prasad Dwivedi, Dilip Kumar Sharma
Cutting fluids are used in machining processes to increase the quality of machined surfaces, extend the life of tools, and lessen the effect of friction and heat on contact surfaces. The least costly, least hazardous to the environment, and least poisonous lubricant would be the perfect choice. It should also be resistant to low temperatures, have high lubricating qualities, be recyclable, and have stability against oxidation, hydrolysis, and heat. Its viscosity should also fall between the ideal range and not exceed it. Taking the needed properties of the cutting fluids into consideration, for the machining process choosing the best cutting fluid is essential. Five types of cutting fluids are examined in this paper that are often used in machining operations: canola oil, mineral oil, synthetic ester, PAG (Polyalkylene Glycol), and TMPTO (trimethylolpropane trioleate). In this study, the Multicriteria decision-making (MCDM) techniques were used to identify the best choice of cutting fluids based on several parameters, such as low temperature, toxicity, lubricating ability, hydrolytic stability, thermal stability, viscosity index, oxidative stability, and cost. The most popular TOPSIS methods and Shannon's Entropy were utilized to choose these cutting fluids optimally. The TOPSIS approach is used to calculate the final ranking, and Shannon’s entropy method is utilized to calculate the weight of the criterion. According to the result with the more lucid rating, PAG cutting fluid was shown to be the most effective, followed by synthetic ester in second place, as well as last place achieved by vegetable-based canola oil.
切削液用于加工过程,可提高加工表面的质量,延长刀具的使用寿命,并减少接触表面的摩擦和热量影响。成本最低、对环境危害最小、毒性最小的润滑油是最佳选择。此外,它还应耐低温、润滑性强、可回收利用,并具有抗氧化、抗水解和抗热的稳定性。其粘度也应介于理想范围之间,而不应超过理想范围。考虑到切削液所需的特性,在加工过程中选择最佳切削液至关重要。本文研究了机械加工中常用的五种切削液:菜籽油、矿物油、合成酯、PAG(聚烷基乙二醇)和 TMPTO(三羟甲基丙烷三油酸酯)。本研究采用多标准决策(MCDM)技术,根据低温、毒性、润滑能力、水解稳定性、热稳定性、粘度指数、氧化稳定性和成本等参数确定切削液的最佳选择。利用最流行的 TOPSIS 方法和香农熵来优化选择这些切削液。TOPSIS 方法用于计算最终排名,香农熵方法用于计算标准的权重。根据更清晰的评级结果,PAG 切削液被证明是最有效的,其次是合成酯,最后是植物性菜籽油。
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引用次数: 0
Design and Experimentation of a Hydrokinetic Turbine for Electricity Generation in Closed Pipes 用于封闭管道发电的水动力涡轮机的设计与实验
Pub Date : 2024-02-23 DOI: 10.37394/232013.2024.19.7
Javier Armañanzas, Marina Alcalá, Juan Pablo Fuertes, Javier Leon, Alexia Torres, Miguel Gil
In the present research work, a device for electrical energy generation to be used in water pipelines has been designed, simulated, and tested. To achieve this, a study of the most influential parameters involved in the experiment has been carried out and both, the turbine model and the geometry of the experimental test pipe, have been selected through CFD simulations. Next, the Design of Experiments (DOE) has been used to obtain the configuration with a higher energy extraction from running water. Finally, the turbine and the test pipe section have been manufactured by 3D printing and the experimental tests have been carried out with the optimal configuration to validate the results obtained in the CFD simulations. To simulate the exchange of energy between the water and the turbine, the CFD software SIMULIA XFlow has been used.
在本研究工作中,设计、模拟和测试了一种用于输水管道的发电装置。为此,我们对实验中影响最大的参数进行了研究,并通过 CFD 仿真选择了涡轮机模型和实验测试管道的几何形状。接着,利用实验设计(DOE)获得了从流水中提取更多能量的配置。最后,通过三维打印技术制造了涡轮机和试验管道部分,并使用最佳配置进行了实验测试,以验证 CFD 模拟获得的结果。为了模拟水和涡轮机之间的能量交换,我们使用了 CFD 软件 SIMULIA XFlow。
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引用次数: 0
Numerical Analysis on Stagnation Point Flow of Micropolar Nanofluid with Thermal Radiations over an Exponentially Stretching Surface 带有热辐射的微极性纳米流体在指数拉伸表面上的停滞点流动数值分析
Pub Date : 2024-02-01 DOI: 10.37394/232013.2024.19.4
Feras M. Al Faqih, K. Rafique, Sehar Aslam, Mohammed Z. Swalmeh
Several industrial developments such as polymer extrusion in metal spinning and continuous metal casting include energy transmission and flow over a stretchy surface. In this paper, the stagnation point flow of micropolar nanofluid over a slanted surface is presenting also considering the influence of thermal radiations. Buongiorno’s nanoliquid model is deployed to recover the thermophoretic effects. By using similarity transformations, the governing boundary layer equations are transformed into ordinary differential equations. The Keller-box approach is used to solve transformed equations numerically. The numerical outcomes are presented in tabular and graphical form. A comparison of the outcomes attained with previously published results is done after providing the entire formulation of the Keller-Box approach for the flow problem under consideration. It has been found that the reduced sherwood number grows for increasing values of radiation parameter while, reduced Nusselt number and skin friction coefficient decreases. Furthermore, the skin-friction coefficient increases as the inclination factor increases, but Nusselt and Sherwood's numbers decline.
一些工业发展,如金属纺丝中的聚合物挤压和连续金属铸造,都包括能量传输和在拉伸表面上的流动。本文还考虑了热辐射的影响,介绍了微极性纳米流体在斜面上的停滞点流动。采用 Buongiorno 的纳米液体模型来恢复热辐射效应。通过相似变换,将边界层方程转换为常微分方程。采用 Keller-box 方法对转换后的方程进行数值求解。数值结果以表格和图形形式呈现。在提供了针对所考虑的流动问题的 Keller-Box 方法的整个表述之后,将所取得的结果与之前公布的结果进行了比较。结果发现,随着辐射参数值的增大,谢伍德数减小,而努塞尔特数减小,皮肤摩擦系数减小。此外,随着倾角系数的增大,皮肤摩擦系数也会增大,但努塞尔特数和谢伍德数却会减小。
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引用次数: 0
期刊
WSEAS TRANSACTIONS ON FLUID MECHANICS
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