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Coupling method for internal nozzle flow and the spray formation for viscous liquids 粘性液体内部喷嘴流动与喷雾形成的耦合方法
Q4 Engineering Pub Date : 2019-03-31 DOI: 10.2495/CMEM-V7-N2-130-141
R. Ravendran, B. Endelt, J. Christiansen, P. Jensen, Martin Theile, I. Najjar
Understanding the disturbances introduced by cavitation inside spray nozzles is important, when simulating the spray formation of highly viscous liquids. In this paper, a new model for cavitation-induced primary break-up is proposed, which is able to map the influence of cavitating nozzle flow on spray formation. Detailed experimental and numerical investigations of the viscous nozzle flow have been performed in order to develop an improved primary break-up model [1]. The proposed model describes the transition from the flow inside the nozzle, modelled using a homogeneous equilibrium model (HEM) method, to the first primary droplets modelled using a Eulerian–Lagrangian method. Thus, providing the boundary conditions for the calculation of the secondary break-up and spray formation. The nozzle exit is divided into a definite number of patches. Liquid momentum and vapor volume fraction from each patch are used to initialize the primary droplets. The model has been implemented in the open-source CFD software package OpenFOAM and validation has been done using high-speed shadow graphic imaging. The simulated spray tip penetration and spray cone angle at the near-nozzle region show a good agreement with the experiment results.
在模拟高粘性液体的喷雾形成时,了解喷嘴内空化引起的扰动是很重要的。本文提出了一种新的空化初生破裂模型,该模型能够反映空化喷嘴流动对喷雾形成的影响。为了建立一个改进的初级破裂模型[1],对粘性喷嘴流动进行了详细的实验和数值研究。所提出的模型描述了从喷嘴内流动的过渡,使用均匀平衡模型(HEM)方法建模,到使用欧拉-拉格朗日方法建模的第一初级液滴。从而为二次破碎和喷雾形成的计算提供了边界条件。喷嘴出口被划分为一定数量的补丁。每个斑块的液体动量和蒸汽体积分数用于初始化初级液滴。该模型已在开源CFD软件包OpenFOAM中实现,并使用高速阴影图形成像进行了验证。模拟的喷嘴突防和近喷嘴区域的锥角与实验结果吻合较好。
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引用次数: 3
The effect of numerical parameters on eddies in oceanic overflows: a laboratory and numerical study 数值参数对海洋溢流涡旋的影响:实验室和数值研究
Q4 Engineering Pub Date : 2019-03-31 DOI: 10.2495/CMEM-V7-N2-142-153
Shanon M. Reckinger, Thomas H. Gibson, Fred Hohman, T. Morrison, Scott J. Reckinger, M. Carvalho
Overflows in the ocean occur when dense water flows down a continental slope into less dense ambient water. It is important to study idealized and small-scale models, which allow for confidence and control of parameters. The work presented here is a direct qualitative and quantitative comparison between physical laboratory experiments and lab-scale numerical simulations. Physical parameters are varied, including the Coriolis parameter, the inflow density, and the inflow volumetric flow rate. Laboratory experiments are conducted using a rotating square tank and high-resolution camera mounted on the table in the rotating reference frame. Video results are digitized in order to compare directly to numerical simulations. The MIT General Circulation Model (MITgcm), a three-dimensional ocean model, is used for the direct numerical simulations corresponding to the specific laboratory experiments. It was found that the MITgcm was not a good match to laboratory experiments when physical parameters fell within the high eddy activity regime. However, a more extensive resolution study is needed to understand this fully. The MITgcm simulations did provide a good qualitative and quantitative match to laboratory experiments run in a low eddy activity regime. In all cases, the MITgcm simulations had more eddy activity than the laboratory experiments.
当密度较大的水沿着大陆斜坡流入密度较小的周围水时,就会发生海洋溢流。研究理想模型和小尺度模型是很重要的,因为它们允许对参数进行置信度和控制。这里提出的工作是物理实验室实验和实验室规模的数值模拟之间的直接定性和定量比较。物理参数是变化的,包括科里奥利参数、流入密度和流入体积流量。实验室实验采用旋转方形槽和高分辨率摄像机,安装在旋转参照系的工作台上。视频结果被数字化,以便直接与数值模拟进行比较。MIT环流模式(MITgcm)是一种三维海洋模式,用于与具体实验室实验相对应的直接数值模拟。发现当物理参数落在高涡活度范围内时,MITgcm与实验室实验不太匹配。然而,需要更广泛的分辨率研究来充分理解这一点。MITgcm模拟确实提供了很好的定性和定量匹配实验室实验运行在低涡旋活动状态。在所有情况下,MITgcm模拟比实验室实验有更多的涡流活动。
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引用次数: 0
An analytical study of the early stages of unsteady free convective flow from a differentially heated rotating sphere at large Grashof numbers 大格拉什夫数差热旋转球体非定常自由对流初期的分析研究
Q4 Engineering Pub Date : 2018-07-01 DOI: 10.2495/CMEM-V7-N1-57-67
S. D’Alessio
This research investigates the unsteady free convective flow of a viscous incompressible fluid from a differentially heated rotating sphere. The flow is assumed to remain laminar and to possess equatorial and azimuthal symmetry. The governing Navier-Stokes and energy equations are posed in terms of a scaled stream function vorticity formulation and are solved subject to no-slip and specified surface temperature conditions. At t = 0 an impulsive heat flux is applied in the form of a jump in surface temperature. An asymptotic solution valid for large Grashof numbers and small times following the impulsive startup is constructed. Two small parameters have been identified and based on this the flow variables are expanded in a double series in powers of these parameters. The non-zero leading-order terms in the asymptotic expansions have been determined analytically and the corresponding heat transfer coefficient has been found. Future work will involve obtaining numerical solutions.
本文研究了粘性不可压缩流体在差热旋转球体中的非定常自由对流流动。假定气流保持层流,并具有赤道和方位角对称性。控制Navier-Stokes方程和能量方程以尺度流函数涡度公式表示,并在无滑移和指定表面温度条件下求解。在t = 0时,以表面温度跳跃的形式施加脉冲热通量。构造了一个对脉冲启动后的大格拉西夫数和小时间有效的渐近解。确定了两个小参数,并在此基础上将流动变量展开为这些参数幂的双级数。用解析法确定了渐近展开式中的非零首阶项,并求出了相应的换热系数。今后的工作将包括求得数值解。
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引用次数: 1
Micro/nano flows: vorticity generation 微/纳米流动:涡度的产生
Q4 Engineering Pub Date : 2018-07-01 DOI: 10.2495/CMEM-V7-N1-68-78
T. Moulden
Vortical structures have been observed to develop in electrically driven fluid motion at the micro/nano scale, but no coherent theory has been put foreword in the literature to explain such a development. The present paper gives several results in a theory based upon the classical field equations. In particular, it is shown that the origin of vorticity production resides in the applied electric field interacting with any ion concentration gradients present in the fluid as defined by the vorticity equation. This is in addition to any viscous layer vorticity diffusion that may also exist in the flow.
在微/纳米尺度上,在电驱动的流体运动中已经观察到涡状结构的发展,但在文献中没有提出连贯的理论来解释这种发展。本文给出了基于经典场方程的理论的几个结果。特别指出,涡度产生的根源在于外加电场与由涡度方程定义的流体中存在的任何离子浓度梯度相互作用。这是除了可能存在于流动中的任何粘性层涡度扩散之外。
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引用次数: 0
Non-linear behaviour of structural walls 结构墙的非线性行为
Q4 Engineering Pub Date : 2018-07-01 DOI: 10.2495/CMEM-V7-N1-14-21
Salima Djehaichia, R. Lassoued
The vulnerability of reinforced concrete structures, which were built in the 1970s, under the effects of an earthquake is one of the major concerns of researchers, because the designs of these structures have been based on regulations, which are no longer valid. The parameters taken into account in this study to idealize the regulatory shortcomings are: low ratio of reinforcement, type of reinforcement and moderate resistance of concrete. The analysis to test these altered structures with one or both of the above parameters is carried out in the non-linear domain from the perspective of analysing their behaviour in an earthquake. In this paper, the modelling strategy is based on finite elements combined with a discretization of the shear wall most stressed by successive thin layers. The estimation of level of performance is achieved using capacity curves under increasing incremental loads; a non-linear characteristic force-displacement relationship can be determined. The results of the numerical model are compared with those of the Algerian seismic code (RPA). Through this comparison, it was found that there is an improvement in terms of displacement, shearing action and ductility. The introduction of confining as a local model makes it possible to refine the numerical model and improve the total behaviour of the structure. A parametric analysis is carried out to highlight the obvious weakness of structures designed and built in the 1970s.
20世纪70年代建造的钢筋混凝土结构在地震作用下的脆弱性是研究人员关注的主要问题之一,因为这些结构的设计是基于不再有效的法规。在本研究中理想化的调节缺陷考虑的参数是:低配筋率,配筋类型和混凝土的中等阻力。从分析这些结构在地震中的行为的角度来看,用上述一个或两个参数来测试这些变化结构的分析是在非线性领域进行的。在本文中,建模策略是基于有限元与连续薄层剪力墙的离散化相结合。使用增量负载下的容量曲线来估计性能水平;可以确定非线性特征力-位移关系。数值模拟的结果与阿尔及利亚地震规范(RPA)的结果进行了比较。通过比较,发现在位移、剪切作用和延性方面都有改善。引入约束作为局部模型使得改进数值模型和改善结构的总体性能成为可能。进行了参数分析,以突出20世纪70年代设计和建造的结构的明显弱点。
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引用次数: 0
Assessment of complex variable basis functions in the approximation of ideal fluid flow problems 理想流体流动问题近似中复变基函数的评定
Q4 Engineering Pub Date : 2018-07-01 DOI: 10.2495/CMEM-V7-N1-45-56
B. Wilkins, T. Hromadka, A. Johnson, Randy Boucher, H. D. McInvale, S. Horton
Solving potential problems, such as those that occur in the analysis of steady-state heat transfer, electrostatics, ideal fluid flow, and groundwater flow, is important in several fields of engineering, science, and applied mathematics. Numerical solution of the relevant governing equations typically involves using techniques such as domain methods (including finite element, finite difference, or finite volume), or boundary element methods (using either real or complex variables). In this paper, the Complex Variable Boundary Element method (“CVBEM”) is examined with respect to the use of different types of basis functions in the CVBEM approximation function. Four basis function families are assessed in their solution success in modeling an important benchmark problem in ideal fluid flow; namely, flow around a 90 degree bend. Identical problem domains are used in the examination, and identical degrees of freedom are used in the CVBEM approximation functions. Further, a new computational modeling error is defined and used to compare the results herein; specifically, M = E / N where M is the proposed computational error measure, E is the maximum difference (in absolute value) between approximation and boundary condition value, and N is the number of degrees of freedom used in the approximation.
解决潜在的问题,例如在分析稳态传热、静电学、理想流体流动和地下水流动时出现的问题,在工程、科学和应用数学的几个领域都是重要的。相关控制方程的数值解通常涉及使用诸如域方法(包括有限元、有限差分或有限体积)或边界元方法(使用实变量或复变量)等技术。本文研究了复杂变量边界元法(CVBEM)在CVBEM近似函数中不同类型基函数的使用。评价了四个基函数族对理想流体流动中一个重要基准问题的求解成功程度;也就是说,绕90度弯道流动。在检验中使用了相同的问题域,并且在CVBEM近似函数中使用了相同的自由度。此外,定义了一个新的计算建模误差,并将其用于比较本文的结果;其中M = E / N,其中M为提出的计算误差度量,E为近似值与边界条件值之间的最大差值(绝对值),N为近似值所使用的自由度数。
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引用次数: 5
35 years of advancements with the complex variable boundary element method 复杂变量边界元法35年来的进展
Q4 Engineering Pub Date : 2018-07-01 DOI: 10.2495/CMEM-V7-N1-1-13
N. Demoes, G. Bann, B. Wilkins, T. Hromadka, Randy Boucher
The Complex Variable Boundary Element Method, or CVBEM, was first published in Journal of Numerical Methods in Engineering in year 1984 by authors Hromadka and Guymon [1]. Since that time, several papers and books have been published that present various aspects of the numerical technique as well as advances in the computational method such as extension to three or higher dimensions for arbitrary geometries, nonhomogeneous domains, extension to use of a Hilbert Space setting as well as collocation methods, inclusion of the time derivative via coupling to generalized Fourier series techniques, examination of various families of basis functions including complex monomials, the product of complex polynomials with complex logarithm functions (i.e., the usual CVBEM basis functions), Laurent series expansions, reciprocal of complex monomials, other complex variable analytic functions including exponential and others, as well as linear combinations of these families. Other topics studied and developed include rotation of complex logarithm branch-cuts for extension of the problem computational domain to the exterior of the problem geometry, depiction of computational error in achieving problem boundary conditions by means of the approximate boundary technique, mixed boundary value problems, flow net development and visualization, display of flow field trajectory vectors in two and three dimensions for use in depicting streamlines and flow paths, among other topics. The CVBEM approach has also been extended to solving partial differential equations such as Laplace’s equation, Poisson’s equation, unsteady flow equation, and the wave equation, among other formulations that include sources, sinks and combinations of these equations with mixed boundary conditions. In the current paper, a detailed examination is made of the performance between four families of basis functions in order to assess computational efficiency in problem solving of two dimensional potential problems in a high aspect ratio geometric problem domain. Two selected problems are presented as case studies to demonstrate the different levels of success by each of the four families of examined basis functions. All four families involve basis functions that solve the governing partial differential equation, leaving only the goodness of fit in matching boundary conditions of the boundary value problem as the computational optimization goal. The modeling technique is implemented in computer programs Mathematica and MATLAB. Recommendations are made for future research directions and lessons learned from the current study effort.
复杂变量边界元法(CVBEM)由Hromadka和Guymon于1984年首次发表在《Journal of Numerical Methods in Engineering》上[1]。从那时起,已经出版了一些论文和书籍,介绍了数值技术的各个方面以及计算方法的进展,例如任意几何的三维或更高维度的扩展,非齐次域,希尔伯特空间设置的扩展以及搭配方法,通过与广义傅里叶级数技术的耦合包含时间导数,考察各种基函数族,包括复单项式,复多项式与复对数函数的乘积(即通常的CVBEM基函数),洛朗级数展开式,复单项式的倒数,其他复变量解析函数,包括指数和其他,以及这些族的线性组合。研究和开发的其他主题包括复对数分支切割的旋转,将问题计算域扩展到问题几何的外部,通过近似边界技术描述实现问题边界条件的计算误差,混合边界值问题,流网的开发和可视化,用于描绘流线和流路的二维和三维流场轨迹向量的显示,在其他话题中。CVBEM方法还被扩展到求解偏微分方程,如拉普拉斯方程、泊松方程、非定常流动方程和波动方程,以及其他公式,包括源、槽和混合边界条件下这些方程的组合。在本文中,为了评估在高纵横比几何问题域中求解二维潜在问题的计算效率,对四种基函数族之间的性能进行了详细的研究。两个选定的问题作为案例研究提出,以证明四个检验基函数族中的每一个的不同程度的成功。这四个族都涉及求解控制偏微分方程的基函数,只留下边值问题的匹配边界条件的拟合优度作为计算优化目标。建模技术在计算机程序Mathematica和MATLAB中实现。最后对今后的研究方向提出了建议,并从目前的研究工作中总结了一些经验教训。
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引用次数: 2
CFD and experimental approach on three phase gas-liquid-solid Newtonian fluid flow in horizontal pipes 水平管道中三相气液固牛顿流体流动的CFD与实验方法
Q4 Engineering Pub Date : 2018-07-01 DOI: 10.2495/CMEM-V7-N1-33-44
Rasel A. Sultan, Serag Alfarek, M. A. Rahman, S. Zendehboudi
This study analyses three dimensional fluid flow through horizontal pipelines with three-phase gasliquid-solid Newtonian fluids by Computational Fluid Dynamics (CFD) simulation. Validating the simulation with experimental data, the study aims to develop a versatile acceptable simulation model that can be used further for different applied cases. An experimental setup is developed in our laboratory to determine slug flow (air-water) through a horizontal pipeline. Air as gas, water as liquid and silica as solid particle is used in this work. ANSYS Fluent version 16.2 is employed to perform the simulation. The Eulerian multiphase model with the Reynolds Stress Model (RSM) turbulence closure is adopted to analyse multiphase fluid flow. Parameters are selected from experimental works to validate the simulation. After a good agreement with experimental data, sensitivity analysis is conducted to observe the three phase fluid flow characteristics through horizontal flow. Pressure gradient (pressure drop per unit length) and in situ concentration profile are used as primary parameters. This article provides a clear relationship between the different parameters of three-phase fluid flow through a horizontal pipeline.
采用计算流体力学(CFD)方法,分析了三相气-固牛顿流体在水平管道中的三维流动。通过对实验数据的验证,研究旨在建立一个通用的可接受的仿真模型,可以进一步用于不同的应用案例。在我们的实验室建立了一个实验装置,以确定通过水平管道的段塞流(空气-水)。在这项工作中使用空气作为气体,水作为液体,二氧化硅作为固体颗粒。采用ANSYS Fluent 16.2版本进行仿真。采用带有雷诺应力模型(RSM)湍流闭合的欧拉多相模型来分析多相流体的流动。从实验中选取参数,对仿真结果进行验证。在与实验数据吻合较好后,进行灵敏度分析,通过水平流动观察三相流体的流动特性。压力梯度(单位长度压降)和原位浓度剖面作为主要参数。本文给出了三相流体在水平管道中流动的不同参数之间的明确关系。
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引用次数: 3
Use of equivalent celerity to estimate maximum pressure increase in serial pipes during water hammer - numerical simulations in MATLAB 利用等效速度估计串联管道在水击过程中的最大压力增长——MATLAB数值模拟
Q4 Engineering Pub Date : 2018-07-01 DOI: 10.2495/CMEM-V7-N1-22-32
A. Malesińska, M. Rogulski, P. Puntorieri, G. Barbaro, B. Kowalska
Pipe lines are useful for transporting water for drinking, irrigation and for fire-ing over long distances, this pipe lines are called “Transmission line” and are used to carry conveying raw or treated water from a well field or remote storage (large lake, reservoir, etc.,) facility to a treatment plant and/or distribution storage tank. In water-carrying piping systems, dangerous phenomena may occur. One such phenomenon is water hammer. The water hammer has always been an area of study, which has captivated the minds of researchers due to its complex and challenging phenomena. Modeling the phenomenon in real conditions is extremely difficult. Due to the dimensions of the piping systems, conducting research at real scales is impossible. However, thanks to the development of numerical methods, the study of water hammer and its effects can be performed using simulation programs. Unfortunately, the simulation results are not always consistent with the actual course of the phenomenon. One of the parameters that describes the nature of the course of a water hammer is the velocity of propagation of the pressure wave, c, which is called celerity. The transient surge pressure, p, may be calculated from the pressure celerity c, and the sudden change in fluid flow velocity, ∆ v. In a piping system, the value of the pressure wave celerity is not equal to the individual celerity, c, for a single pipeline. Therefore for piping systems for ∆p calculations the equivalent celerity shell be used. This article presents value of the equivalent celerity calculated from equations derived using linear analysis of natural vibrations of the system. For implement of the equations, an algorithm in MATLAB has been developed that allows one to easily calculate the equivalent celerity, ce, for N pipelines connected in series with varying diameter, length and material composition.
管道用于长距离运输饮用水、灌溉用水和消防用水,这种管道被称为“输电线”,用于将未经处理或处理过的水从井场或远程储存(大型湖泊、水库等)设施输送到处理厂和/或分配储罐。在输水管道系统中,可能会发生危险现象。其中一种现象就是水锤。水锤一直是一个研究领域,由于其复杂而具有挑战性的现象,一直吸引着研究人员的注意力。在实际条件下对这种现象进行建模是极其困难的。由于管道系统的尺寸,在实际尺度上进行研究是不可能的。然而,由于数值方法的发展,水锤及其影响的研究可以通过模拟程序进行。不幸的是,模拟结果并不总是与现象的实际过程相一致。描述水击过程性质的参数之一是压力波的传播速度c,称为速度。瞬态喘振压力p可由压力速度c和流体流速的突变∆v计算得到。在管道系统中,压力波速度的值不等于单个管道的单个速度c。因此,对于计算∆p的管道系统,应使用等效速度壳。本文给出了用系统固有振动的线性分析推导出的方程计算出的等效速度值。为了实现这些方程,在MATLAB中开发了一种算法,可以方便地计算N条不同直径、长度和材料组成串联连接的管道的等效速度ce。
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引用次数: 1
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International Journal of Computational Methods and Experimental Measurements
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