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On adjustable undular bore profiles based on the modified steady KdV–Burgers equation 基于修正稳态KdV–Burgers方程的可调圆形孔剖面
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-05-04 DOI: 10.1080/00221686.2023.2201340
Sixue Cheng, Hai-jiang Liu
In this study, a speed parameter is introduced into the steady Korteweg–de Vries (KdV)–Burgers equation which enables the theoretical undular bore profiles to be adjustable with a proper combination of the speed parameter and the viscous damping parameter. A new criterion for identifying the above two bores is then proposed with respect to these two parameters, whose influence on the undular bore profile is then discussed. For the theoretical solution with a small damping, error after introducing the variable speed parameter is limited. A large speed parameter corresponds to a wide range of acceptable dampings. From the energy perspective, it is confirmed that the speed parameter also denotes the nonlinearity effect. In addition, comparison between the theoretical and experimental results shows the superiority of the present model over the traditional model, which also reveals the physical meanings of the present model.
在稳态Korteweg-de Vries (KdV) -Burgers方程中引入了一个速度参数,通过适当结合速度参数和粘性阻尼参数,实现了理论波状孔轮廓的可调。然后根据这两个参数提出了识别上述两个孔的新准则,并讨论了它们对波纹孔剖面的影响。对于阻尼较小的理论解,引入变速参数后的误差是有限的。较大的速度参数对应于较大的可接受阻尼范围。从能量角度证实了转速参数也表示非线性效应。此外,通过理论与实验结果的对比,表明了该模型相对于传统模型的优越性,也揭示了该模型的物理意义。
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引用次数: 1
General shallow water equations (GSWEs) 一般浅水方程(GSWEs)
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-05-04 DOI: 10.1080/00221686.2023.2224756
D. Pokrajac
Shallow water equations (SWEs) have been traditionally derived by integrating fundamental flow equations over a flow profile above a single point in a horizontal or nearly horizontal plane, with the main assumptions that the profile thickness is much smaller than other two dimensions and it contains only water. This paper presents the derivation of generalized SWEs (GSWEs) obtained for a finite plan area, allowing for the presence of phases other than water, such as air, grains, vegetation, and debris, which can be either stationary or mobile. The derivation provides a rigorous basis for various applications of layer-averaged models and opens numerous research questions, some of which are highlighted in the paper.
浅水方程(SWEs)传统上是通过在水平或近水平平面上的单个点以上的流动剖面上积分基本流动方程推导出来的,主要假设剖面厚度比其他两个维度小得多,并且只包含水。本文介绍了有限平面区域的广义SWEs (GSWEs)的推导,允许存在除水以外的阶段,如空气、颗粒、植被和碎屑,这些阶段可以是静止的,也可以是移动的。这一推导为层平均模型的各种应用提供了严格的基础,并提出了许多研究问题,其中一些问题在本文中得到了重点讨论。
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引用次数: 0
Effects of bed obstacles on the behaviour of inclined dense jets 床层障碍物对倾斜密集射流行为的影响
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-03-04 DOI: 10.1080/00221686.2023.2180442
A. Azadi, B. Firoozabadi, A. A. Ashnani, Shayan Habibi
ABSTRACT Coral reefs around the discharge areas of desalination plants have effects on the distribution and dilution of discharged saline jet. In the present study, effects of bed obstacles with different heights on the behaviour of inclined negatively buoyant jets (INBJs), including dilution and spatial characteristics, are experimentally investigated using the light attenuation (LA) optical method. Present experiments show that as the confinement induced by the bed and obstacle intensifies, the maximum normalized jet centreline dilution decreases up to 40%. As the jet approaches the obstacle, spreading along the inner and outer edges of the jet increases. The present results also show that upstream of the maximum height point, the jet is not considerably sensitive to the bed obstacle since the momentum dominates the jet behaviour. However, the jet dilution in regions downstream the maximum height point reduces when the obstacle is present.
海水淡化厂排放区周围的珊瑚礁对排放的盐水射流的分布和稀释有影响。在本研究中,使用光衰减(LA)光学方法,实验研究了不同高度的床层障碍物对倾斜负浮力射流(INBJs)行为的影响,包括稀释和空间特性。目前的实验表明,随着床和障碍物引起的约束的加剧,最大归一化射流中心线稀释度降低了40%。随着射流接近障碍物,沿射流内外边缘的扩散增加。目前的结果还表明,在最大高度点的上游,射流对床层障碍物不太敏感,因为动量主导了射流的行为。然而,当存在障碍物时,最大高度点下游区域的射流稀释度会降低。
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引用次数: 0
Erosion time scale in pipes below dikes for turbulent and laminar flow 湍流和层流条件下堤坝下方管道的侵蚀时间尺度
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-03-04 DOI: 10.1080/00221686.2023.2180443
G. Hoffmans
ABSTRACT This article discusses the piping erosion time, where pipes start to erode in aquifers underneath dikes and dams until they reach their critical values. The magnitude of the piping erosion time significantly determines the risk of failure of water defences. The time-scale equation is based on a sediment mass balance equation and appropriate bedload transport predictors, assuming the erosion process to be continuous. We argue that the flow is laminar for pipes in sandy aquifers and turbulent for pipes in gravel aquifers. We then account for aquifer composition in examining pipe erosion by discussing different bedload transport predictors for each flow regime. To estimate the turbulence intensity, we have used and modified the Einstein bedload transport theory. The time-scale relation includes the effects of meander bends and has been tested for some experiments on a small scale and on a large scale.
摘要本文讨论了管道侵蚀时间,即管道在堤坝下的含水层中开始侵蚀,直到达到临界值。管道侵蚀时间的大小在很大程度上决定了水防御系统失效的风险。时间尺度方程基于泥沙平衡方程和适当的推移质输运预测因子,假设侵蚀过程是连续的。我们认为,沙质含水层中的管道流动是层流,砾石含水层中管道流动是湍流。然后,我们通过讨论每个流态的不同推移质输送预测因子,在检查管道侵蚀时考虑含水层成分。为了估计湍流强度,我们使用并修改了爱因斯坦推移质输运理论。时间尺度关系包括曲流弯曲的影响,并已在小尺度和大尺度的一些实验中进行了测试。
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引用次数: 0
Water mixing in rectangular storage tanks: small-scale versus field tests 矩形储罐中的水混合:小规模与现场试验
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-03-04 DOI: 10.1080/00221686.2022.2161960
Alexandre Da Silva Pinheiro, L. Monteiro, Maria Do Céu De Sousa Teixeira De Almeida, D. Covas
ABSTRACT Mixing and renewal processes are crucial for maintaining adequate drinking water quality in storage tanks. This paper studies the influence of baffle structures and of fill-and-draw cycles on water mixing and renewal in rectangular cross-section tanks through laboratory tracer tests carried out in two small-scale tanks (with and without baffles) and compares with results from a full-scale test. This study shows that the use of baffles inhibits water mixing and keeps older water pockets in small recirculation zones, though baffles allow faster water renewal than in open tanks for lower flow rates. High water volume variation in fill-and-draw cycles (between 50% to 80%) promotes water renewal, independently of the tank configuration (i.e. cross-section and the existence of baffles). Despite the existing baffle structure in the full-scale rectangular tank with 20% water volume variation, the high flow rates allowed a rapid renewal of the stored water.
混合和更新过程对于保持储罐中足够的饮用水质量至关重要。本文通过在两个小型水箱(带挡板和不带挡板)中进行的室内示踪试验,研究了挡板结构和灌拔循环对矩形截面水箱中水的混合和更新的影响,并与全尺寸试验结果进行了比较。这项研究表明,挡板的使用抑制了水的混合,并使旧的水袋保持在小的再循环区域,尽管挡板比开放的水箱流速更低,可以更快地更新水。在注水和取水循环中,高水量变化(在50%到80%之间)促进了水的更新,与水箱的配置(即横截面和挡板的存在)无关。尽管在全尺寸矩形水箱中有20%的水容量变化的挡板结构,但高流量允许储存的水快速更新。
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引用次数: 0
Closure to “Air demand prediction and air duct design optimization method for spillway tunnel” “泄洪洞空气需求预测与风道设计优化方法”
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-03-04 DOI: 10.1080/00221686.2022.2161962
J. Lian, Xin Eric Wang, Dongming Liu
where Co is the so-called choking number (Crispino et al., 2019; Stahl & Hager, 1999), F the approach Froude number, Y∗ = Ht/h0 the sequent depth ratio for pressurized flows for a rectangular tunnel, Ht the tunnel height and h0 the water depth. When Eqs (1) and (2) are applied, the detailed parameters of the spillway tunnel of Jinping-I dam are listed in Table C1, in which s is the gate opening percentage, hgate the height of gate opening, hc the water depth of the contraction section downstream the gate (Henry, 1977), B the tunnel width, Hteq = A/B the equivalent tunnel height and A ≈ 206m2 the sectional area Figure C1 Comparison of β: (a) prototype observations, (b) Eq. (1), (c) the model of the original article
其中,Co是所谓的阻塞数(Crispino et al.,2019;Stahl&Hager,1999),F是接近弗劳德数,Y*=Ht/h0是矩形隧道加压流的顺序深度比,Ht是隧道高度,h0是水深。当应用等式(1)和(2)时,锦屏一号大坝泄洪洞的详细参数如表C1所示,其中s为闸门开启百分比,hgate为闸门开启高度,hc为闸门下游收缩段的水深(Henry,1977),B为隧洞宽度,Hteq=A/B等效隧道高度,A≈206m2截面面积图C1β的比较:(A)原型观测,(B)方程。(1),(c)原始文章的模型
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引用次数: 0
Air demand prediction and air duct design optimization method for spillway tunnel By JIJIAN LIAN, XIAOQUN WANG and DONGMING LIU, J. Hydraulic Res., 59(3), 2021, 448–461, https://doi.org/10.1080/00221686.2020.1780499 泄洪洞空气需求预测与风道设计优化方法——连继建,王晓群,刘东明,水利研究,59(3),2021,448–461,https://doi.org/10.1080/00221686.2020.1780499
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-03-04 DOI: 10.1080/00221686.2022.2161430
G. Crispino, C. Gisonni
The Authors presented a fascinating research work on the air demand in spillways. The investigation was based on the air demand observations along the spillway tunnel of the Jinping-I dam, in China. Prototypal and 3D numerical model data of the total air demand, Q air , along the spillway tunnel
作者介绍了一项关于空气需求的引人入胜的研究工作。这项调查是根据中国锦屏一号大坝泄洪洞沿线的空气需求观测结果进行的。泄洪洞沿线总空气需求Q空气的原型和3D数值模型数据
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引用次数: 0
Importance of turbulent diffusion in transverse mixing in rivers 湍流扩散在河流横向混合中的重要性
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-03-04 DOI: 10.1080/00221686.2023.2180441
L. E. Schwab, C. Rehmann
ABSTRACT An expression for the transverse mixing coefficient in a rectangular channel is derived to evaluate the importance of transverse turbulent diffusion. Although some formulas for the transverse mixing coefficient account for both turbulent diffusion and shear dispersion, most calculations of the transverse dispersion coefficient do not include the effect of transverse turbulent diffusion on shear dispersion. Both vertical and transverse turbulent diffusion contribute appreciably to transverse shear dispersion, and the direct contribution of transverse turbulent diffusion to transverse mixing is important for a range of conditions commonly observed in natural channels. A comparison of predicted and measured transverse mixing coefficients supports including turbulent diffusion in analyses of transverse mixing – both in its effect on shear dispersion and as a direct mechanism of transport.
推导了矩形通道中横向混合系数的表达式,以评估横向湍流扩散的重要性。尽管一些横向混合系数的公式同时考虑了湍流扩散和剪切分散,但大多数横向分散系数的计算都不包括横向湍流扩散对剪切分散的影响。垂直和横向湍流扩散都对横向剪切分散有明显的贡献,而横向湍流扩散对横向混合的直接贡献对于在自然通道中常见的一系列条件来说是重要的。预测和测量的横向混合系数的比较支持在横向混合分析中包括湍流扩散——无论是对剪切分散的影响还是作为一种直接的传输机制。
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引用次数: 0
Large eddy simulation of flows past an array of square cylinders 流过方圆柱阵列的大涡流模拟
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-03-04 DOI: 10.1080/00221686.2022.2161957
Hongbao Huang, Jianmin Zhang, J. Meng
ABSTRACT The flows past an array of square cylinders occur in wide range of applications. To study these flows, we conducted three-dimensional large-eddy simulations for flows past an array of the circular shape formed by multiple smaller square cylinders, where the Reynolds number defined by the array diameter was 1994. We conducted simulations with different solid volume fractions (SVFs) of the square cylinder array ( ). The effects of these configurations on flow characteristics were analyzed. Periodic drag fluctuation was observed when the SVF was small since the distance between the square cylinder was large, and the vortex shedding occurred with impact from other cylinders. No significant fluctuation in the drag was observed over time when the SVF was large. The minimum distance between the square cylinders was used to measure the degree of vortex shedding and reflect the relationship between the square cylinder position and the drag fluctuation.
摘要流经一系列方形圆柱体的流动有着广泛的应用。为了研究这些流动,我们对经过由多个较小的方形圆柱体形成的圆形阵列的流动进行了三维大涡模拟,其中由阵列直径定义的雷诺数为1994。我们使用方柱阵列的不同固体体积分数(SVF)进行了模拟()。分析了这些配置对流动特性的影响。当SVF较小时,由于方形圆柱体之间的距离较大,观察到周期性的阻力波动,并且旋涡脱落是在其他圆柱体的冲击下发生的。当SVF较大时,没有观察到阻力随时间的显著波动。方柱之间的最小距离用于测量涡流脱落程度,并反映方柱位置与阻力波动之间的关系。
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引用次数: 1
Pre-aerated classic hydraulic jump downstream a partly-stepped chute 经预曝气的经典水力跳跃,沿半阶梯式溜槽顺流而下
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2023-03-04 DOI: 10.1080/00221686.2022.2161961
Ruidi Bai, Rongcai Tang, F. Murzyn, Han Wang
ABSTRACT Study of hydraulic jumps following aerated supercritical flow has been limited, although this is a common scenario in stilling basins preceded by open-channel spillways. New experiments were performed in a concrete stilling basin model downstream of a sloping stepped chute, where hydraulic jumps were generated on the horizontal stilling basin bed and characterized by bubbly approach flow with Froude numbers 7.6 and 9.3 and Reynolds numbers in the order of 105. Measurements were focused on the jump toe oscillations, jump roller length, and air–water flow property distributions. Comparison of the results with literature data under non-aerated inflow conditions suggested overall insignificant pre-aeration effects on the investigated air–water flow properties, although some comparative analyses were subject to scale effects. The streamwise evolution of air flux suggested that the pre-entrained air did not intrude deeply into the jet-shear layer beyond 1/5 to 1/3 roller length from the jump toe.
尽管在明渠溢洪道之前的静力池中,水力跃变是一种常见的情况,但对加气超临界流后水力跃变的研究仍然有限。在倾斜阶梯溜槽下游的混凝土消力池模型中进行了新的实验,在水平消力池床上产生水力跳跃,其特征为气泡接近流,弗劳德数为7.6和9.3,雷诺数为105。测量的重点是跳趾振荡、跳辊长度和空气-水流动特性分布。将未加气入流条件下的结果与文献数据进行比较,结果表明,尽管一些比较分析受到尺度效应的影响,但预曝气对所研究的空气-水流动特性的影响总体上不显著。气流通量的顺流演化表明,预夹带气流在距跳趾1/5 ~ 1/3滚轴长度范围内没有深入到急流切变层。
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引用次数: 0
期刊
Journal of Hydraulic Research
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