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Effects of form-induced velocity in rough-wall turbulent channel flows 粗糙壁湍流通道中形状诱导速度的影响
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-10-11 DOI: 10.1080/14685248.2022.2131799
S. C. Mangavelli, J. Yuan
Wall roughness induces form-induced (or dispersive) velocity and pressure perturbations inside the roughness sublayer of a wall-bounded turbulent flow. This work discusses the role played by the form-induced velocity in influencing turbulence statistics and structure, using existing direct numerical simulation data of transient half channels in response to an impulse acceleration (Mangavelli et al. Effects of surface roughness topography in transient channel flows. J Turbul 2021;22:434–460). Focuses are given to (i) reshaping of turbulent coherent motions by the rate-of-strain of the mean velocity, and (ii) contributions of different velocity sources to turbulent pressure fluctuations. Half-channel flows in both fully-developed and non-equilibrium, transient states are discussed. Results show that form-induced velocity gradients not only form an important source of turbulent pressure in an equilibrium flow, but also lead to turbulence production and potentially direct structural change of turbulent eddies in a non-equilibrium flow under acceleration.
壁面粗糙度在壁面有界湍流的粗糙度亚层内引起形式诱导的(或色散的)速度和压力扰动。这项工作讨论了形式诱导速度在影响湍流统计和结构方面所起的作用,利用响应脉冲加速度的瞬态半通道的现有直接数值模拟数据(Mangavelli et al.)。瞬态沟道流动中表面粗糙度形貌的影响。[J]中国生物医学工程学报,2021;22:434-460。重点是(i)通过平均速度的应变率重塑湍流相干运动,以及(ii)不同速度源对湍流压力波动的贡献。讨论了完全发育和非平衡状态下的半通道流动。结果表明,形式诱导的速度梯度不仅是平衡流动中湍流压力的重要来源,而且在非平衡流动中加速作用下导致湍流的产生并可能直接导致湍流涡流的结构变化。
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引用次数: 0
Detailed evaluation of a heat exchanger in terms of effectiveness and second law 根据有效性和第二定律对热交换器进行详细评估
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-10-03 DOI: 10.1080/14685248.2022.2134571
E. Turgut, Uğurcan Yardımcı
In this study, experiments were conducted to investigate the effects of semicircular strip turbulators placed in the inner tube of a concentric heat exchanger on its exergy loss rate (E*) and effectiveness (e). The Reynolds number (Re), pitch (p), diameter (d), thickness (t) and arrangement style (a) were the design parameters for the study. The changes in these parameters had significant effects on exergy loss rate and effectiveness compared to the results found with the smooth empty tube. The results of the study are given graphically as the change in the exergy loss rate and the change in effectiveness with the number of transfer units (NTU). The largest exergy loss rate and effectiveness values were found to be 0.263 and 0.556, respectively. It was concluded that the effectiveness of the heat exchanger increased with increasing NTU, while the exergy loss rate is decreased. Since the increase in effectiveness will mean an increase in heat transfer, it can also cause an increase in irreversibility. For this reason, multi-performance characteristics have been determined since evaluating the effectiveness together with the exergy loss rate caused by irreversibility will provide more realistic results. Thus, the optimum parameter combination was found, where the maximum effectiveness and the smallest exergy loss rate values were obtained. Finally, the artificial neural network (ANN) model of the study was created and the hyperparameters of the model were determined by the Bayesian optimisation method. In the created ANN model, MSE and R values of effectiveness and exergy loss rate were found as 5.3238e-04, 2.18177e-06 and 0.963, 0.998, respectively. According to these results, it has been confirmed that the proposed ANN model can be used successfully in the modelling of the heat exchanger.
本研究通过实验研究了在同心换热器内管内放置半圆形带式紊流器对其火用损失率(E*)和效率(E)的影响。实验的设计参数为雷诺数(Re)、节距(p)、直径(d)、厚度(t)和布置方式(a)。与光滑空管相比,这些参数的变化对火用损失率和效率有显著影响。研究结果以图形形式表示了火用损失率和效率随传递单元数的变化。最大的火用损失率和有效性值分别为0.263和0.556。结果表明,随着NTU的增加,换热器的效率提高,而火用损失率降低。由于效率的提高意味着传热的增加,它也会导致不可逆性的增加。因此,确定了多性能特征,因为将有效性与不可逆性引起的火用损失率一起评估将提供更真实的结果。从而找到最优的参数组合,获得最大的有效性值和最小的火用损失率值。最后,建立了本研究的人工神经网络模型,并采用贝叶斯优化方法确定了模型的超参数。在所建立的ANN模型中,有效性和火用损失率的MSE和R值分别为5.3238e-04、2.18177e-06和0.963、0.998。结果表明,所提出的人工神经网络模型可以成功地用于换热器的建模。
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引用次数: 1
Effect of slip length on flow dynamics and heat transport in two-dimensional Rayleigh–Bénard convection 滑移长度对二维rayleigh - bsamadard对流流动动力学和热传输的影响
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-09-30 DOI: 10.1080/14685248.2022.2128360
Maojing Huang, Xiaozhou He
We report a direct numerical simulation (DNS) study of the heat transport and temperature profiles of the plume ejecting and impacting regions in the two-dimensional turbulent Rayleigh–Bénard (RB) convection with slippery plates and horizontally periodic boundary conditions. The numerical study is conducted in the parameter range of Rayleigh number from to and the slip length b from 0 (NS) to ∞ (FS) for the top and bottom plates. Two distinct flow patterns can be seen depending on b, namely convection roll state and zonal flow, which affect the Nusselt number and the Reynolds number . We show that the zonal flow occurs when the normalised slip length , where is the thermal boundary layer thickness for the no-slip (NS) plates. and increase with increasing , and can reach the optimum before the generation of the zonal flow. It is observed that with the effective scaling exponent for the convection roll state, and for the zonal flow. Furthermore, for the convection roll state, the power-law scaling of the local heat flux is in the plume ejecting region, while in the plume impacting region, for varying slip length . The DNS data with different slippery plates for both plume ejecting and impacting regions agree well with the predicted temperature profiles by Huang et al. (J Fluid Mech. 2022;943:A2).
本文采用直接数值模拟(DNS)方法研究了光滑板和水平周期边界条件下二维湍流rayleigh - b纳德(RB)对流中羽流喷射和冲击区的热输运和温度分布。对顶板和底板在瑞利数为、滑移长度b为0 (NS)到∞(FS)的参数范围内进行了数值研究。根据b可以看到两种不同的流动模式,即对流滚转状态和纬向流动,它们影响努塞尔数和雷诺数。我们表明,当归一化滑移长度(其中为无滑移(NS)板的热边界层厚度)时,纬向流动发生。且随增大而增大,在纬向流产生前达到最优。观察到对流滚转状态和纬向流动的有效标度指数。对流滚转状态下,随着滑差长度的变化,局部热通量的幂律标度分别出现在羽流喷射区和羽流冲击区。不同滑板对羽流喷射和冲击区域的DNS数据与Huang et al. (J Fluid Mech. 2022;943:A2)预测的温度剖面吻合较好。
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引用次数: 0
Drag reduction using velocity control in Taylor–Couette flows 泰勒-库埃特流中使用速度控制的减阻
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-08-06 DOI: 10.1080/14685248.2022.2109653
O. Khawar, M. F. Baig, S. Sanghi
Direct numerical simulation of Taylor–Couette flow subject to opposition control is investigated at Reynolds number (Re) of 3000. The idea is to impose exact opposite velocities of the detection plane at the walls to counteract near-wall stream-wise vortices. In this study, various velocity control strategies, namely wall-normal, axial, combined and blowing only, have been investigated from the viewpoint of skin-friction drag reduction. Further, the effects of skipping spatial points in azimuthal and axial directions and in time have been investigated from a drag reduction point of view. Based on the emergence of a virtual wall that hinders the vertical transport of momentum (i.e. on reduction of Reynolds shear stress production as well as sweep ejection events), flow physics has been explained via statistical analysis of fluctuations, Reynolds shear stresses, and near-wall coherent structures. The spatial density of near-wall vortical structures shows a marked reduction, followed by quadrant contribution analysis of Reynolds shear stresses reveals a decrease in ejection and sweep events, leading to reduced production of Reynolds shear stresses and skin-friction drag.
研究了雷诺数为3000时的泰勒-库埃特流的直接数值模拟。这个想法是在壁上施加与探测平面完全相反的速度,以抵消近壁上的流向涡。在本研究中,从表面摩擦减阻的角度研究了不同的速度控制策略,即壁面法向、轴向、联合和仅吹气。此外,从减阻的角度研究了空间点在方位角和轴向以及时间上的跳跃效应。基于虚拟壁面的出现,阻碍了动量的垂直传输(即减少了雷诺剪切应力的产生以及扫射事件),流动物理已经通过波动、雷诺剪切应力和近壁相干结构的统计分析得到了解释。近壁涡旋结构的空间密度明显减小,随后的雷诺剪应力象限贡献分析显示,喷射和扫掠事件减少,导致雷诺剪应力和表面摩擦阻力的产生减少。
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引用次数: 1
Turbulence modulation by finite-size particles of different diameters and particle–fluid density ratios in homogeneous isotropic turbulence 均匀各向同性湍流中不同直径的有限大小颗粒和颗粒-流体密度比的湍流调制
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-08-03 DOI: 10.1080/14685248.2022.2096223
Jie Shen, Cheng Peng, Jianzhao Wu, K. Chong, Zhiming Lu, Lian-Ping Wang
In this paper, the influence of particle-fluid density ratio and particle diameter on the turbulence modulation by finite-size particles in forced homogeneous isotropic turbulence is investigated. Results show that the presence of finite-size particles always attenuate the turbulence, and the attenuation is larger for particles with larger density when the particle diameter is fixed. But the attenuation is smaller for particles with larger diameter if the density is fixed, and the weaker attenuation is due to the wake fluctuation when the particle Reynolds number is large enough. The turbulence kinetic energy is attenuated at the large scales and augmented at the small scales. The radial dissipation profiles show that the region affected by the particles with same diameter is identical, but the dissipation near the particle surface is larger if the density is larger due to larger slip velocity and particle Reynolds number. For particles with same density, smaller particles have smaller dissipation near the particle surface but the influence region is larger, and the combined effect leads to the result that the contribution of dissipation in the influence region of smaller particles to the total dissipation is larger. The influence region mainly depends on the particle diameter.
本文研究了在强迫均匀各向同性湍流中,颗粒-流体密度比和颗粒直径对有限尺寸颗粒湍流调制的影响。结果表明,有限尺寸颗粒的存在总是会衰减湍流,当颗粒直径固定时,密度较大的颗粒衰减更大。但是,如果密度固定,直径较大的颗粒的衰减较小,而当颗粒雷诺数足够大时,由于尾流波动,衰减较弱。湍流动能在大尺度上衰减,在小尺度上增强。径向耗散剖面表明,受相同直径颗粒影响的区域是相同的,但由于滑移速度和颗粒雷诺数较大,如果密度较大,则颗粒表面附近的耗散较大。对于相同密度的颗粒,较小颗粒在颗粒表面附近的耗散较小,但影响区域较大,综合效应导致较小颗粒影响区域的耗散对总耗散的贡献较大。影响区域主要取决于颗粒直径。
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引用次数: 3
Drag reduction by a superhydrophobic surface with longitudinal grooves: the effects of the rib surface curvature 具有纵向凹槽的超疏水表面的减阻:肋面曲率的影响
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-07-14 DOI: 10.1080/14685248.2022.2094936
J. Yao, C. J. Teo
We have investigated the effects of rib surface curvature of a superhydrophobic wall in both laminar and turbulent channel flows. Direct numerical simulation is performed for laminar flows and large eddy simulation is performed for turbulent flows. The parametric study shows that a convex rib surface leads to a lower flow ratethan a flat rib for all Reynolds numbers. A concave rib surface firstly increases and then decreases the flow rate as the curvature angle becomes larger, where an optimal curvature angle exists to maximise flow rate. The value of the optimal curvature angle varies with the Reynolds number. A curved rib surface can modify the distribution of the mean velocity and turbulent statistics near the SH wall. Analysis shows that the overall effect of a curved rib surface on the flow rate is the combination of the wetted area augmentation and the change to the spanwise flow interaction, which depends on the curvature angle and the Reynolds number. The SH wall does not change the fundamental structures of near-wall vortices in turbulent flows. The ridge-groove pattern formed by the curved rib surface can provide additional drag reduction similar to that arising from the surface riblets.
我们研究了超疏水壁肋面曲率对层流和湍流通道流动的影响。层流采用直接数值模拟,湍流采用大涡模拟。参数化研究表明,在任何雷诺数下,凸肋面都比平肋面流速小。凹肋面流速随着曲率角的增大先增大后减小,存在一个最优曲率角使流量最大化。最优曲率角随雷诺数的变化而变化。一个弯曲的肋面可以改变SH壁面附近平均速度和湍流统计的分布。分析表明,弯曲肋面对流量的总体影响是湿润面积增大和展向流动相互作用变化的结合,而展向流动相互作用的变化取决于曲率角和雷诺数。SH壁面不改变湍流中近壁面涡的基本结构。由弯曲肋面形成的脊槽模式可以提供类似于表面肋面所产生的额外减阻。
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引用次数: 0
In memoriam, Marcel Lesieur (1945-2022) 纪念Marcel Lesieur(1945-2022)
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-07-03 DOI: 10.1080/14685248.2022.2081293
Ugo Piomelli, O. Métais
It is with great regret that we announce the death of Marcel Lesieur, who passed away on March 22, 2022, at the age of seventy-six. Professor Lesieur was a world leader in the field of turbulence, and the founding editor of this journal. Marcel Lesieur graduated from the École Polytechnique and obtained a Ph.D. from the University of Nice. After a period at the Centre National de la Recherche Scientifique (CNRS), he became a professor of fluid mechanics at the Institut Polytechnique de Grenoble. He retired in 2007, and, at the time of his death was Professor Emeritus. At the Laboratoire des écoulements géophysiques et industriels (LEGI) of Grenoble, he established a research group that carried out ground-breaking research on turbulent flows. Members of his research team occupy prestigious positions at Universities, in industry, and in research centres worldwide. His studies focussed on the simulation and modelling of turbulent flows. They spanned theoretical developments, applications to canonical flows and to more realistic configurations. Using the Eddy-Damped Quasi-Normal Markovian theory he developed advanced subgrid-scale models that were later extended to complex geometries. He carried out novel direct and large-eddy simulations of turbulent flows in a variety of configurations relevant to mechanical, environmental, and aerospace engineering, oceanography and meteorology. Among them are stratified and rotating flows, transitional and turbulent boundary layers, and transport of passive scalars. He authored two books; the first one, “Turbulence in Fluids: Stochastic and Numerical Modelling” (1987) was the first treatise on the subject since those by Townsend (1956) and Hinze (1959); it is now on its fourth edition. The second, “Large-Eddy Simulations of Turbulence”, with O. Métais and P. Comte (2005), was probably the first book to be published on this subject. In recognition of his work, Professor Lesieur received several prizes, including the CNRS bronze medal, the Seymour Cray-France prize and the Marcel Dassault Grand Prize from the Académie des Sciences. He was also elected to the Académie des Sciences in 2003. In the editorial sphere, Marcel Lesieur had the vision to predict the potential of onlineonly journals. This vision was realized in 2000, with the first issue of this journal, which he founded. At the time, the possibility of including colour figures and animations in a journal
我们怀着极大的遗憾宣布马塞尔·勒西厄去世,他于2022年3月22日去世,享年76岁。Lesieur教授是湍流领域的世界领导者,也是本刊的创刊编辑。Marcel Lesieur毕业于École巴黎综合理工学院,并获得尼斯大学博士学位。在法国国家科学研究中心(CNRS)工作一段时间后,他成为法国格勒诺布尔理工学院流体力学教授。他于2007年退休,去世时是名誉教授。他在格勒诺布尔大学的“ 身体与工业实验室”(LEGI)建立了一个研究小组,对湍流进行了开创性的研究。他的研究团队成员在世界各地的大学、工业和研究中心担任着重要职位。他的研究重点是湍流的模拟和建模。它们跨越了理论发展、规范流的应用和更现实的配置。利用涡流阻尼拟正态马尔可夫理论,他发展了先进的亚网格尺度模型,后来扩展到复杂的几何形状。他在与机械、环境、航空航天工程、海洋学和气象学相关的各种配置中进行了新颖的直接和大涡湍流模拟。其中包括层状和旋转流动、过渡和湍流边界层以及被动标量的输运。他写了两本书;第一部《流体中的湍流:随机和数值模拟》(1987年)是继汤森(1956年)和欣泽(1959年)之后关于这一主题的第一篇论文;现在已经是第四版了。第二本书,《湍流的大涡模拟》,由O. m . m . samtais和P. Comte合著(2005),可能是关于这个主题的第一本出版的书。为了表彰他的工作,莱西厄教授获得了多个奖项,包括法国国家科学研究院铜奖、西摩·克雷-弗朗斯奖和法国科学院颁发的马塞尔·达索大奖。他还于2003年当选为法国科学院院士。在编辑领域,Marcel Lesieur有远见地预测了纯在线期刊的潜力。这一愿景在2000年通过他创办的《华尔街日报》创刊号得以实现。当时,在日记中加入彩色人物和动画的可能性很小
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引用次数: 0
Laminar-to-Turbulent Transition of Pipe Flows Triggered by Wall-Mounted, Ring-Type Obstacles 壁挂式环型障碍物引发的管道流动层流到湍流的过渡
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-07-03 DOI: 10.1080/14685248.2022.2092121
F. Durst, M. Breuer, B. Ünsal, K. Haddad
The literature stresses the inherent stability of laminar pipe flows with parabolic velocity profiles and this paper refers to the relevant publications summarizing this work. To cause such flows to turn into their turbulent state requires laminar pipe flows to be triggered externally. Ring-type, wall-mounted obstacles can be used for this purpose, and investigations in this area are of particular interest to the authors’ work, summarized in this paper. In the investigations presented here, however, a special triggering technique was employed that allowed laminar pipe flows to be exposed to obstacle disturbances for only about 30 ms. Individual puffs and slugs could be produced in this way. Comparisons with fixed wall-mounted obstacles showed that the properties of both types of turbulent slugs were the same. Theoretical derivations are described to provide the required obstacle height as a function of the Reynolds number, to trigger fully developed laminar pipe flows to turn into their turbulent state. Corresponding experimental investigations were also performed as described. Very good agreement between the theoretical and experimental results was obtained. All this demonstrates that a relatively simple ‘ad hoc theory’ can derive the required height of ring-type, wall-inserted obstacles to trigger laminar pipe flows with parabolic velocity profiles to turn turbulent. Other ways to trigger laminar pipe flows to turn turbulent were also investigated by employing blowers and plenum chambers and varying the lengths and diameters of pipes. It is demonstrated, in a somewhat qualitative way, that the maintenance of laminar pipe flows requires all components of a test rig to be matched to each other to maintain pipe flows laminar.
文献强调了具有抛物线速度剖面的层流管流的固有稳定性,本文参考了总结这项工作的相关出版物。为了使这种流动转变为湍流状态,需要从外部触发层流管流。环形壁装障碍物可用于此目的,本文总结了作者对该领域的研究特别感兴趣。然而,在本文介绍的研究中,采用了一种特殊的触发技术,使层流管道流仅能暴露在障碍物扰动下约30毫秒。通过这种方式可以产生单独的抽吸和堵塞。与固定壁装障碍物的比较表明,两种类型的湍流蛞蝓的特性相同。理论推导被描述为提供所需的障碍物高度作为雷诺数的函数,以触发完全发展的层流管流转变为其湍流状态。还按照描述进行了相应的实验研究。理论结果与实验结果吻合良好。所有这些都表明,一个相对简单的“特设理论”可以推导出环形壁插入障碍物的所需高度,以触发具有抛物线速度剖面的层流管道流动,使其变成湍流。通过使用鼓风机和充气室以及改变管道的长度和直径,还研究了触发层流管道流动变为湍流的其他方法。以某种定性的方式证明,管道层流的维护需要试验台的所有部件相互匹配,以保持管道层流。
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引用次数: 0
Non-isothermal flow past a heated circular cylinder in subcritical regime: a numerical investigation based on large-eddy simulation 亚临界状态下加热圆柱的非等温流动:基于大涡模拟的数值研究
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-06-06 DOI: 10.1080/14685248.2022.2083626
G. Tian, Zuoli Xiao
Compressible flow past a heated circular cylinder at subcritical Reynolds number of 3900 is numerically investigated by using the large-eddy simulation method. Rigorous validations of the numerical model are carefully performed under isothermal conditions on the basis of available experimental data. The calculated mean flow and Reynolds stresses show good agreement with the published experimental data. The effects of temperature difference between the cylinder surface and the freestream on the flow statistics and thermal characteristics are further studied in detail by setting two kinds of wall temperature boundary conditions. It is manifested that increasing the wall temperature leads to the augmentation of skin friction drag, suppression of turbulent intensity, enhancement of flow mixing and extension of recirculation zone. In addition, it is found that the variations of thermo-physical properties pose a slight effect on the wall heat flux before the boundary layer separates from the cylinder surface. It is worth noting that the recirculation bubble length can be used as a distance scaling parameter to weaken the temperature dependence of the flow and thermal statistics. These results provide a more detailed insight into the statistical difference in the wake region of cylinder when the temperature effect is taken into account.
采用大涡模拟方法,对亚临界雷诺数3900加热圆柱的可压缩流动进行了数值模拟。根据现有的实验数据,在等温条件下对数值模型进行了严格的验证。计算的平均流量和雷诺应力与已发表的实验数据吻合较好。通过设置两种壁面温度边界条件,进一步研究了圆柱表面与自由流之间温差对流动统计和热特性的影响。结果表明,壁面温度的升高会增大壁面摩擦阻力,抑制湍流强度,增强流动混合,扩大再循环区。此外,还发现在边界层与圆柱体表面分离之前,热物理性质的变化对壁面热流密度的影响较小。值得注意的是,再循环气泡长度可以作为距离标度参数,以削弱流量和热统计对温度的依赖性。这些结果为考虑温度效应时圆柱尾迹区域的统计差异提供了更详细的见解。
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引用次数: 2
Turbulence characteristics in a weir-orifice-slot combined fishway with an identical layout 相同布置的堰孔槽组合鱼道中的湍流特性
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2022-05-31 DOI: 10.1080/14685248.2022.2071431
Z. Dong, Jianli Tong, Zhou Huang
A combined fishway containing notched weir, central orifice and vertical slot with an identical layout was designed, and its turbulence characteristics were experimentally studied. An acoustic Doppler velocimetry (ADV) was used to measure three-dimensional velocity. Flow regime, average velocity, turbulence intensity, Reynolds stress, power frequency-spectrum, correlation function, turbulence scale were analysed. The experimental results showed the combined fishway was of remarkable three-dimensional flow structures. Longitudinal velocity exhibited obvious extreme value region on the horizontal plane. Extreme values of longitudinal turbulence intensity were concentrated mainly on the mixing region between weir flow and orifice jet, as well as the vertical slot wall jet region, extreme value region of transverse turbulence intensity occurred on the central plane of orifice jet, and extreme values of vertical turbulence intensity were scattered. Reynolds stress extreme value occurred mainly in the convergent zone of multiple jets. Dominant frequency of power frequency-spectrum was highest for notched weir and lowest for vertical slot. Longitudinal velocity fluctuation exhibited a correlation with time, which was characterised by dominant frequency. Turbulence scales showed eddy structures were related to flow zones.
设计了一种由缺口堰、中心孔和垂直槽组成的相同布置的组合式鱼道,并对其湍流特性进行了实验研究。声学多普勒测速仪(ADV)用于测量三维速度。分析了流态、平均速度、湍流强度、雷诺应力、功率频谱、相关函数、湍流尺度。实验结果表明,组合鱼道具有显著的三维流动结构。纵向速度在水平面上表现出明显的极值区。纵向湍流强度极值主要集中在堰流与孔口射流的混合区,以及垂直槽壁射流区,横向湍流强度极值区出现在孔口射流的中心面,垂直湍流强度极值分散。雷诺应力极值主要出现在多股射流的收敛区。缺口堰的功率频谱主频最高,垂直槽的主频最低。纵向速度波动表现出与时间的相关性,其特征是主频。湍流尺度显示涡流结构与流动区有关。
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引用次数: 2
期刊
Journal of Turbulence
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