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Modeling and Simulation of Elastohydrodynamic Lubrication in Spur Gears 正齿轮弹流体动力润滑建模与仿真
Q2 Mathematics Pub Date : 2024-01-23 DOI: 10.37934/cfdl.16.6.120130
Rafael Ramirez, Andrés Rodríguez, Jonathan Fabregas, Heriberto Maury
An analysis using computational modeling by finite elements of the phenomenon of elastohydrodynamic lubrication (EHL) was carried out for a transmission system of pinion gear in a crankcase with partial filling lubrication. The analysis utilized tribological studies describing the contact behavior characteristics of solid surfaces with the lubrication film caused by dragging and splashing. Furthermore, the characteristics of the Reynolds-Hertz model for this type of phenomena are described, as well as the equations of elastic deformation and elastic displacements along with the geometry of the non-concordant bodies in contact. This was done by modeling the Lagrangian-Eulerian type for non-Newtonian fluid, implementing multiphysics coupling methods. The pressure profile of the lubricant films, the temperature reached by the lubricant, and the von Mises stress at the contact were obtained, showing a good approximation with the related results, indicating a range of 30 MPa to 900 MPa of pressure in the lubricant film and von Mises stress ranging from 30 MPa to 100 MPa in the contact area of the gear tooth.
利用有限元计算模型对曲轴箱中的小齿轮传动系统的弹性流体动力润滑(EHL)现象进行了分析。分析利用了摩擦学研究,描述了固体表面与由拖曳和飞溅引起的润滑膜的接触行为特征。此外,还描述了此类现象的雷诺-赫兹模型的特征,以及弹性变形和弹性位移方程,以及接触的非和谐体的几何形状。这是通过对非牛顿流体进行拉格朗日-欧勒式建模,并采用多物理场耦合方法实现的。获得了润滑油膜的压力曲线、润滑油达到的温度以及接触处的 von Mises 应力,显示出与相关结果的良好近似性,表明润滑油膜的压力范围为 30 兆帕至 900 兆帕,齿轮齿接触区域的 von Mises 应力范围为 30 兆帕至 100 兆帕。
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引用次数: 0
Investigation of Magneto Hydrodynamics Properties of Reiner–Philippoff Nanofluid with Gyrotactic Microorganism in a Porous Medium 多孔介质中带有陀螺仪微生物的莱纳-菲利波夫纳米流体的磁流体力学特性研究
Q2 Mathematics Pub Date : 2024-01-23 DOI: 10.37934/cfdl.16.6.119
S.K. Prasanna Lakshmi, Sreedhar Sobhanapuram, S.V.V Rama Devi
Investigation of Magneto Hydrodynamics Properties of Reiner–Philippoff Nanofluid with Gyrotactic Microorganism in a Porous Medium Nanofluids have many potential applications in engineering, medicine, and biotechnology due to their enhanced thermal, electrical, and optical properties. However, the flow and heat transfer characteristics of nanofluids are influenced by various factors, such as the type and size of nanoparticles, the base fluid, the magnetic field, the radiation, the chemical reaction, and the presence of microorganisms. Therefore, it is important to study the effects of these factors on the nanofluid flow and heat transfer using mathematical models and numerical methods. One of the mathematical models that can describe the nanofluid flow is the Reiner-Philippoff model, which is a classical non-Newtonian fluid model that accounts for the shear-thinning behaviour of some fluids. The Reiner-Philippoff model has been used to study the nanofluid flow over a stretching sheet, which is a simplified model of many industrial processes involving stretching or shrinking surfaces. However, most of the previous studies have neglected the effects of the Arrhenius reaction, thermal radiation, viscous dissipation, and bio-convection on the nanofluid flow over a stretching sheet. The objective of this paper is to fill this gap by conducting a numerical investigation of the effects of the Arrhenius reaction, thermal radiation, viscous dissipation, and bio-convection on a Reiner-Philippoff nanofluid of MHD flow through a stretching sheet. This also considers the effects of thermophoresis and Brownian motion, which are two mechanisms that govern the transport of nanoparticles in nanofluids. The article utilized a similarity transformation to reduce the governing partial differential equations into ordinary differential equations, which are then solved by using the MATLAB computational tool bvp4c technique. The paper also employs a hybrid numerical solution method using Runge-Kutta fourth order with a shooting technique and an optimization technique using the Bayesian regularization method for Runge-Kutta to improve the accuracy of the prediction outcomes. The main finding of this paper is that the Arrhenius reaction, thermal radiation, viscous dissipation, and bio-convection have significant effects on the velocity, temperature, concentration, and motile microorganism profiles of the nanofluid flow over a stretching sheet. The paper also discusses how these effects can be controlled by varying the relevant parameters. This provides graphical results for the profiles of velocity, temperature, concentration, and motile microorganisms for different values of these parameters. The study also compares its results with some existing results in the literature and finds good agreement.
多孔介质中带有陀螺接触微生物的 Reiner-Philippoff 纳米流体的磁流体动力学特性研究 纳米流体具有增强的热、电和光学特性,因此在工程、医学和生物技术领域有许多潜在的应用。然而,纳米流体的流动和传热特性受到多种因素的影响,如纳米粒子的类型和尺寸、基质流体、磁场、辐射、化学反应以及微生物的存在。因此,利用数学模型和数值方法研究这些因素对纳米流体流动和传热的影响非常重要。Reiner-Philippoff 模型是能够描述纳米流体流动的数学模型之一,它是一种经典的非牛顿流体模型,考虑了某些流体的剪切稀化行为。Reiner-Philippoff 模型被用于研究纳米流体在拉伸片上的流动,这是许多涉及拉伸或收缩表面的工业过程的简化模型。然而,之前的大多数研究都忽略了阿伦尼乌斯反应、热辐射、粘性耗散和生物对流对纳米流体在拉伸片上流动的影响。本文旨在通过数值研究阿伦尼乌斯反应、热辐射、粘性耗散和生物对流对流经拉伸片的 MHD 雷诺-菲利波夫纳米流体的影响,填补这一空白。文章还考虑了热泳和布朗运动的影响,这两种机制制约着纳米粒子在纳米流体中的传输。文章利用相似变换将支配偏微分方程还原为常微分方程,然后使用 MATLAB 计算工具 bvp4c 技术对其进行求解。该论文还采用了一种混合数值求解方法,即使用 Runge-Kutta 四阶拍摄技术和使用 Runge-Kutta 贝叶斯正则化方法的优化技术,以提高预测结果的准确性。本文的主要发现是,阿伦尼乌斯反应、热辐射、粘性耗散和生物对流对拉伸片上纳米流体流动的速度、温度、浓度和活动微生物剖面有显著影响。本文还讨论了如何通过改变相关参数来控制这些影响。这提供了不同参数值下的速度、温度、浓度和活动微生物剖面图结果。该研究还将其结果与文献中的一些现有结果进行了比较,并发现两者具有很好的一致性。
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引用次数: 0
A Numerical Comparison of 2D and 3D CFD Modelling for Contraction and Expansion Geometries with an Emphasis on Solid Particles Erosion 针对收缩和膨胀几何形状的二维和三维 CFD 建模数值比较,重点关注固体颗粒的侵蚀问题
Q2 Mathematics Pub Date : 2024-01-23 DOI: 10.37934/cfdl.16.6.157168
Meftah Hrairi, Faical Baghdadi, Waqar Asraar
In this study, erosion patterns and magnitude are compared between the outputs of 2D and 3D CFD models in contraction and expansion geometries. ANSYS Fluent software was used to model a circular cross-section geometry with a contraction and the results were compared to published experimental data. The simulation findings showed that there is good agreement between the 2D and 3D CFD models and the experimental data in terms of fluid flow properties such as velocity profiles and magnitude. It also demonstrated that the 2D and 3D CFD models' representations of erosion patterns and magnitudes are equivalent. The 3D CFD simulations were able to provide more information than the 2D CFD simulations, particularly in terms of erosion distribution over the entire geometry.
本研究比较了收缩和膨胀几何形状下二维和三维 CFD 模型输出的侵蚀模式和侵蚀程度。使用 ANSYS Fluent 软件模拟了一个收缩的圆形截面几何体,并将模拟结果与已公布的实验数据进行了比较。模拟结果表明,二维和三维 CFD 模型与实验数据在流体流动特性(如速度剖面和大小)方面有很好的一致性。模拟结果还表明,二维和三维 CFD 模型对侵蚀模式和侵蚀程度的描述是等效的。与二维 CFD 模拟相比,三维 CFD 模拟能够提供更多信息,尤其是在整个几何形状的侵蚀分布方面。
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引用次数: 0
Impact of Activation Energy, Diffusion Thermo, Thermal Diffusion and Hall Current on MHD Casson Fluid Flow with Inclined Plates 活化能、热扩散、热扩散和霍尔电流对带有倾斜板的 MHD 卡松流体流动的影响
Q2 Mathematics Pub Date : 2024-01-23 DOI: 10.37934/cfdl.16.6.90108
Subhan Kanchi, Prabhakara Rao Gaddala, Shobalatha Gurram
This research article deals with the impact of Activation energy and Hall current on an electrically conducting nanofluid flow past a continuously stretching surface with Diffusion thermo and thermal diffusion has been explored. Transverse magnetic field with the assumption of small Reynolds number is implemented vertically. Appropriate similarity transformations are utilized to transform the governing partial differential equations into the non-linear ordinary differential equations. Numerical solutions for the dimensionless velocity, temperature and nanoparticle concentration are computed with the help of the shooting method. The impact of each of the Activation energy, Hall current parameter, Brownian motion parameter, thermophoresis parameter and magnetic parameter on velocity, concentration and temperature, is discussed through graphs. The skin friction coefficient along the x−and z−directions, the local Nusselt number and the Sherwood number are calculated numerically to look into the inside behavior of the emerging parameters.
本研究文章探讨了活化能和霍尔电流对流经具有热扩散和热扩散的连续拉伸表面的导电纳米流体的影响。在小雷诺数假设下,横向磁场被垂直施加。利用适当的相似变换,将支配偏微分方程转换为非线性常微分方程。在射流法的帮助下,计算了无量纲速度、温度和纳米粒子浓度的数值解。通过图表讨论了活化能、霍尔电流参数、布朗运动参数、热泳参数和磁性参数对速度、浓度和温度的影响。沿 x 和 z 方向的皮肤摩擦系数、局部努塞尔特数和舍伍德数均通过数值计算得出,以研究新出现参数的内部行为。
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引用次数: 0
MHD Hybrid Nanofluid Flow Past A Stretching/Shrinking Wedge With Heat Generation/Absorption Impact MHD 混合纳米流体流过拉伸/收缩楔块时的热量产生/吸收影响
Q2 Mathematics Pub Date : 2024-01-23 DOI: 10.37934/cfdl.16.6.146156
Nurul Amira Zainal, Iskandar Waini, Najiyah Safwa Khashi’ie, Roslinda Nazar, Ioan Pop
Heat transfer is commonly utilized in diverse industrial applications, including the manufacturing of paper, the cooling of electrical devices, and the synthesis of new substances. Hence, this study aims to investigate the effect of heat generation/absorption on the steady magnetohydrodynamic (MHD) flow and heat transfer of Al2O3-Cu/H2O hybrid nanofluids over a permeable stretching/shrinking wedge. By using similarity transformation techniques, the governing equations of the hybrid nanofluids are transformed into similarity equations. The similarity equations are numerically solved using the MATLAB software's built-in bvp4c package. The findings show that hybrid nanofluids are seen to improve thermal efficiency in comparison to conventional fluid. In relation to heat transfer rate, the increase of magnetic parameters from 0.00 to 0.10 and 0.15 contributes approximately 12.3% and 18.8%, respectively. Meanwhile, as the heat generation parameter increases, the heat transfer rate decreases leading to an inefficient thermal system. The findings of this study are anticipated to contribute to the knowledge base of scientists and researchers in the field.
热传递通常用于各种工业应用,包括造纸、电气设备冷却和新物质合成。因此,本研究旨在探讨热量产生/吸收对 Al2O3-Cu/H2O 混合纳米流体在可渗透的拉伸/收缩楔上的稳定磁流体动力(MHD)流动和热量传递的影响。通过使用相似性转换技术,混合纳米流体的控制方程被转换为相似性方程。利用 MATLAB 软件内置的 bvp4c 软件包对相似方程进行了数值求解。研究结果表明,与传统流体相比,混合纳米流体提高了热效率。在传热率方面,磁性参数从 0.00 增加到 0.10 和 0.15 分别提高了约 12.3% 和 18.8%。同时,随着发热参数的增加,热传导率降低,导致热系统效率低下。预计这项研究的结果将为该领域的科学家和研究人员的知识库做出贡献。
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引用次数: 0
Numerical Simulations of Chemically Dissipative MHD Mixed Convective Non-Newtonian Nanofluid Stagnation Point Flow over an Inclined Stretching Sheet with Thermal Radiation Effects 具有热辐射效应的倾斜拉伸片上化学耗散 MHD 混合对流非牛顿纳米流体停滞点流动的数值模拟
Q2 Mathematics Pub Date : 2024-01-11 DOI: 10.37934/cfdl.16.5.3758
Gopinathan Sumathi Mini, Prathi Vijaya Kumar, Mohammed Ibrahim Shaik
The study of non-Newtonian nanofluid stagnation point flow over an inclined stretching sheet with thermal radiation effects aims to understand how the fluid's non-Newtonian behavior, nanoparticles, the inclined sheet, and thermal radiation affect velocity profiles, temperature distribution, shear stress, and heat transfer rates. It might be used in materials processing, chemical engineering, and energy systems, where understanding fluid behavior in complicated settings is essential for process optimization and system efficiency. The flow problem is reflected in a set of partial differential equations (PDEs) that serve as the governing equations. After appropriate reformatting into Ordinary Differential Equations (ODEs). Mathematica's NDSolve technique is implemented to do a numerical treatment of the dimensionless equations once they have been translated. The upsides of this strategy lie in its ability to automatically track errors and select the best algorithm. Various dimensionless parameters effects on velocity, temperature, and nanoparticle concentration have been studied, and the results are graphically shown. These include the Casson parameter, Brownian motion and thermophoresis, chemical reaction parameter, thermal radiation, viscous dissipation, and mixed convection parameter. The Casson parameter slows down the velocity and speeds up the distributions of temperature and concentration. The skin friction coefficient increases rapidly with increasing tilt and thermophoretic impact amplitudes. The insights were cross-referenced with previous inquiries in order to validate their veracity. All indications are that it complies rigorously and is highly accurate.
研究具有热辐射效应的倾斜拉伸片上的非牛顿纳米流体停滞点流动,旨在了解流体的非牛顿行为、纳米颗粒、倾斜片和热辐射如何影响速度曲线、温度分布、剪应力和传热速率。它可用于材料加工、化学工程和能源系统,在这些领域,了解复杂环境中的流体行为对于优化工艺和提高系统效率至关重要。流动问题反映在一组偏微分方程 (PDE) 中,这些偏微分方程是控制方程。经过适当重新格式化为常微分方程 (ODE)。一旦这些无量纲方程被转换,将使用 Mathematica 的 NDSolve 技术对其进行数值处理。这种策略的优点在于能够自动跟踪误差并选择最佳算法。研究了各种无量纲参数对速度、温度和纳米粒子浓度的影响,并以图表形式显示了结果。这些参数包括卡松参数、布朗运动和热泳、化学反应参数、热辐射、粘性耗散和混合对流参数。卡松参数减慢了速度,加快了温度和浓度的分布。表皮摩擦系数随着倾斜度和热泳冲击振幅的增加而迅速增大。这些见解与之前的研究进行了交叉对比,以验证其真实性。所有迹象都表明,它严谨合规,准确性极高。
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引用次数: 0
A Computational Study for Evaluating the Performance of Twisted Double Tube Heat Exchangers Fitted with Twisted Tape 评估装有扭曲带的扭曲双管热交换器性能的计算研究
Q2 Mathematics Pub Date : 2024-01-11 DOI: 10.37934/cfdl.16.5.2136
riyam ali, Khudheyer Salim
Twisted double-tube heat exchangers are promising in improving the heat transfer efficiency on the tube side, decreasing the pressure drop on the shell side, and reducing the size of the equipment. Although offering immense potential, examining heat transfer enhancement techniques inside a heat exchanger. In this study, The thermal-hydraulic characteristics of twisted double-tube heat exchangers fitted with twisted tape inserted have been numerically studied. The Naiver-stokes, energy, and turbulence equations were used to model the fluid flow and heat transfer while the turbulence was with a k- ε model. ANSYS Fluent 23.1 was used to solve the governing equations. The effect of major design elements such as mass flow rate, varied pitches of twisted double tubes and twisted tape inserts was investigated. The hot water was used in the inner tube and the cold water in the outer tube to create a counter-flow apparatus. The Length of the heat exchanger was 1 meter, and the outer and inner diameter was 0.054 and 0.018 m respectively. The thickness of the two tubes was 0.004 m. The twisted ratio of the tubes was tested for =5, 10, and 15 while the twist ratio of the tape was 4, 6, and 8. The findings demonstrated that the utilization of a double twisted tube heat exchanger with a twisted tape insert resulted in enhanced heat transfer in comparison to a plain tube heat exchanger. The numerical analysis revealed that as the twisting ratio drops, the Nusselt number, pressure drop, and overall heat transfer coefficient increase.
扭曲双管热交换器在提高管侧传热效率、减少壳侧压降和缩小设备尺寸方面大有可为。尽管双管热交换器潜力巨大,但仍需研究热交换器内部的传热增强技术。在这项研究中,对插入扭曲带的扭曲双管热交换器的热液压特性进行了数值研究。采用 Naiver-stokes、能量和湍流方程来模拟流体流动和传热,湍流则采用 k- ε 模型。ANSYS Fluent 23.1 用于求解控制方程。研究了主要设计元素的影响,如质量流量、不同间距的扭曲双管和扭曲带插入件。内管使用热水,外管使用冷水,形成逆流装置。热交换器的长度为 1 米,内外直径分别为 0.054 米和 0.018 米。两根管子的厚度为 0.004 米。管子的扭曲比测试为 =5、10 和 15,而胶带的扭曲比为 4、6 和 8。研究结果表明,与普通管式热交换器相比,使用带扭曲插入带的双扭曲管式热交换器可提高传热效率。数值分析表明,随着扭曲率的下降,努塞尔特数、压降和整体传热系数都会增加。
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引用次数: 0
Advancing Interceptor Design: Analyzing the Impact of Extended Stern Form on Deep-V Planing Hulls 推进拦截舰设计:分析扩展艉轴形式对深 V 型船体的影响
Q2 Mathematics Pub Date : 2024-01-11 DOI: 10.37934/cfdl.16.5.5977
Samuel Samuel, Rizal Kurnia Praja, Deddy Chrismianto, Muhammad Luqman Hakim, Ahmad Fitriadhy, Aldias Bahatmaka
The deep-v planing hull is designed to operate at high speeds because most of the hull’s weight is supported by the hydrodynamic lift acting on the hull base. Planing hull form characteristics such as deadrise angle, chines, and extended stern significantly affect the ship’s hydrodynamic performance. The addition of the interceptor is an innovation to reduce the total resistance of the ship by controlling the trim angle. However, the form of the ship’s stern is not always the same; thus, it needs to be studied based on the form of the ship’s stern. The extended stern form refers to modifying the hull geometry at the rear, particularly the stern extension beyond its conventional length. This research aimed to analyze the hydrodynamic performance of the interceptor at the extended stern angle. Furthermore, Computational Fluid Dynamics (CFD) simulations were performed to analyze the effect of the extended stern form. A numerical model of the deep-V planing hull with variations of the stern extension was developed, and the flow behavior around the hull was analyzed using CFD techniques. Simulations were conducted under various operating conditions, including different speeds and interceptor strokes. The results indicated that the extended stern's different forms could affect the ship's resistance, trim, and heave. The reduction in resistance was seen at moderate speeds, thereby reducing steep trim angles. The greater the extended stern angle, the more significant the reduction in ship resistance at Fr 0.58 by 26%. Likewise, the combination of interceptor and extended stern experienced a decrease in resistance in the semi-displacement phase with a percentage of 33% resistance, 66% trim, and 47% heave. The interceptor stroke (d) depended on the boundary layer (h). The extended stern with angles of 10°, 20°, and 30° were found to have d/h ratios of 0.38, 0.37, and 0.34. However, it should be noted that extending the stern without interceptors and with interceptors at high speeds could result in a dangerous increase in resistance on high-speed vessel.
深 v 型刨削船体设计用于高速航行,因为船体的大部分重量都由作用在船体底部的水动力升力支撑。刨削船体的形状特征(如上翘角、下弦和加长的船尾)对船舶的水动力性能有很大影响。增加拦截器是通过控制修整角来减少船舶总阻力的一种创新。然而,船尾的形式并不总是相同的,因此需要根据船尾的形式进行研究。扩展船尾形式指的是修改船体尾部的几何形状,特别是船尾扩展到常规长度之外。本研究旨在分析拦截艇在扩展船尾角度下的水动力性能。此外,还进行了计算流体动力学(CFD)模拟,以分析加长船尾形式的影响。开发了艉部延伸变化的深 V 型刨削船体的数值模型,并使用 CFD 技术分析了船体周围的流动行为。模拟在不同的操作条件下进行,包括不同的速度和拦截冲程。结果表明,加长船尾的不同形式会影响船舶的阻力、倾角和波浪。在中速航行时,阻力会减小,从而减小陡峭的修整角。加长船尾的角度越大,在 Fr 0.58 时船舶阻力减少的幅度就越大,减少了 26%。同样,在半位移阶段,拦截器和加长艉轴的组合阻力也有所减少,阻力百分比为 33%,微调百分比为 66%,倾斜百分比为 47%。拦截器行程(d)取决于边界层(h)。角度为 10°、20° 和 30°的扩展船尾的 d/h 比率分别为 0.38、0.37 和 0.34。然而,应该注意的是,在高速航行时,不带拦截器和带拦截器的扩展船尾可能会导致高速船阻力增加,从而造成危险。
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引用次数: 0
Numerical Assessment of Tsunami Forces on Vertical Wall Structures: Impact of Inundation Depth and Incident Fluid Velocity 海啸力对垂直墙结构的数值评估:淹没深度和入射流体速度的影响
Q2 Mathematics Pub Date : 2024-01-11 DOI: 10.37934/cfdl.16.5.7890
Emad Hussein, Farhan Lafta Rashid, Najah Al Maimuri, Ali Basem, Hayder Ibrahim Mohammed
This study evaluates the tsunami forces exerted on a terrestrial structure caused by a collision-induced tsunami. Conventionally, assessing these forces relies on the inundation depth of the colliding tsunami passing without the presence of the terrestrial structure. However, it is essential to consider the inundation depth and incident fluid velocity, as both significantly influence the resulting tsunami forces. In this research, ANSYS Fluent 17.2 is employed to simulate excitation sources using a Defined Function (UDF) code within a C++ framework. The dynamic meshing technique is adopted to replicate the interactions between the bore pressure of the tsunami and an idealised vertical wall structure across three distinct water levels. Computational Fluid Dynamics (CFD) modelling demonstrates the proposed methodology's capability to offer precise impact pressure distributions concerning geographical and temporal aspects. The findings reveal specific instances: at a water depth of 10 m, the maximum Froude number is attained at 3.5 and 6.9 seconds, corresponding to a maximum pressure value of 3.9x105 Pa at 3.85 seconds for a water flow velocity of 20 m/sec. Similarly, for a water depth of 12 m, the most significant Froude number is observed at 3.95 and 6.9 seconds, with a peak pressure value of 1.8x105 Pa at 4.6 seconds, associated with a water flow velocity of 15 m/s. Additionally, at a water depth of 14 m, the maximum Froude number is reached at 4.95 and 7.1 seconds, accompanied by a maximum pressure value of 7.4x104 Pa at 4.85 seconds for a water flow velocity of 10 m/s.
本研究评估了碰撞引发的海啸对陆地结构造成的海啸力。通常情况下,评估这些作用力依赖于碰撞海啸在没有地面结构存在的情况下通过的淹没深度。然而,必须考虑淹没深度和入射流体速度,因为两者都会对所产生的海啸力产生重大影响。本研究采用 ANSYS Fluent 17.2 在 C++ 框架内使用定义函数(UDF)代码模拟激振源。采用动态网格技术来复制海啸孔压与理想化垂直墙体结构在三个不同水位之间的相互作用。计算流体动力学(CFD)建模展示了所提出的方法在地理和时间方面提供精确冲击压力分布的能力。研究结果揭示了一些具体实例:在水深 10 米处,最大弗劳德数在 3.5 秒和 6.9 秒时达到,对应于 20 米/秒的水流速度,在 3.85 秒时的最大压力值为 3.9x105 帕。同样,水深为 12 米时,在 3.95 秒和 6.9 秒时观测到最显著的 Froude 数,在 4.6 秒时达到 1.8x105 帕的压力峰值,水流速度为 15 米/秒。此外,在水深 14 米处,4.95 秒和 7.1 秒时达到最大 Froude 数,4.85 秒时的最大压力值为 7.4x104 帕,水流速度为 10 米/秒。
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引用次数: 0
Investigation of Vertical Axis Wind Turbine Performance with Savonius Rotor on Air Ejector Dimensions using Computational Fluid Dynamics 利用计算流体动力学研究带有萨沃尼乌斯转子的垂直轴风力涡轮机在空气喷射器尺寸上的性能
Q2 Mathematics Pub Date : 2024-01-11 DOI: 10.37934/cfdl.16.5.121134
Ismail, Rinawati, Imam Muzaki
This study evaluates the tsunami forces exerted on a terrestrial structure caused by a collision-induced tsunami. Conventionally, assessing these forces relies on the inundation depth of the colliding tsunami passing without the presence of the terrestrial structure. However, it is essential to consider the inundation depth and incident fluid velocity, as both significantly influence the resulting tsunami forces. In this research, ANSYS Fluent 17.2 is employed to simulate excitation sources using a Defined Function (UDF) code within a C++ framework. The dynamic meshing technique is adopted to replicate the interactions between the bore pressure of the tsunami and an idealised vertical wall structure across three distinct water levels. Computational Fluid Dynamics (CFD) modelling demonstrates the proposed methodology's capability to offer precise impact pressure distributions concerning geographical and temporal aspects. The findings reveal specific instances: at a water depth of 10 m, the maximum Froude number is attained at 3.5 and 6.9 seconds, corresponding to a maximum pressure value of 3.9x105 Pa at 3.85 seconds for a water flow velocity of 20 m/sec. Similarly, for a water depth of 12 m, the most significant Froude number is observed at 3.95 and 6.9 seconds, with a peak pressure value of 1.8x105 Pa at 4.6 seconds, associated with a water flow velocity of 15 m/s. Additionally, at a water depth of 14 m, the maximum Froude number is reached at 4.95 and 7.1 seconds, accompanied by a maximum pressure value of 7.4x104 Pa at 4.85 seconds for a water flow velocity of 10 m/s.
本研究评估了碰撞引发的海啸对陆地结构造成的海啸力。通常情况下,评估这些作用力依赖于碰撞海啸在没有地面结构存在的情况下通过的淹没深度。然而,必须考虑淹没深度和入射流体速度,因为两者都会对所产生的海啸力产生重大影响。本研究采用 ANSYS Fluent 17.2 在 C++ 框架内使用定义函数(UDF)代码模拟激振源。采用动态网格技术来复制海啸孔压与理想化垂直墙体结构在三个不同水位之间的相互作用。计算流体动力学(CFD)建模展示了所提出的方法在地理和时间方面提供精确冲击压力分布的能力。研究结果揭示了一些具体实例:在水深 10 米处,最大弗劳德数在 3.5 秒和 6.9 秒时达到,对应于 20 米/秒的水流速度,在 3.85 秒时的最大压力值为 3.9x105 帕。同样,水深为 12 米时,在 3.95 秒和 6.9 秒时观测到最显著的 Froude 数,在 4.6 秒时达到 1.8x105 帕的压力峰值,水流速度为 15 米/秒。此外,在水深 14 米处,4.95 秒和 7.1 秒时达到最大 Froude 数,4.85 秒时的最大压力值为 7.4x104 帕,水流速度为 10 米/秒。
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CFD Letters
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