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FLM volume 980 Cover and Front matter FLM 第 980 卷 封面和封底
Pub Date : 2024-02-10 DOI: 10.1017/jfm.2024.130
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引用次数: 0
FLM volume 979 Cover and Front matter FLM 第 979 卷封面和封底
Pub Date : 2024-01-25 DOI: 10.1017/jfm.2024.89
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引用次数: 0
The influence of surface roughness on postcritical flow over circular cylinders revisited – CORRIGENDUM 再论表面粗糙度对圆柱体上临界后流动的影响 - CORRIGENDUM
Pub Date : 2024-01-25 DOI: 10.1017/jfm.2023.1045
Anil Pasam, D. Tudball Smith, John D. Holmes, David Burton, Mark C. Thompson
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引用次数: 0
The drag on a rising sphere along the axis in a short rotating cylinder of fluid: revisiting the data and theory 流体短旋转圆柱体中沿轴上升球体的阻力:重温数据和理论
Pub Date : 2024-01-12 DOI: 10.1017/jfm.2023.1093
M. Ungarish
Abstract We revisit the problem of a solid sphere rising slowly in a rotating short container filled with a slightly viscous fluid, with emphasis on the drag force. The data of the classical experiments of Maxworthy (J. Fluid Mech., vol. 31, 1968, pp. 643–655) and recent experiments of Kozlov et al. (Fluids, vol. 8 (2), 2023, paper 49), and the available geostrophic and quasi-geostrophic theories, are subjected to a novel scrutiny by combined reprocessing and comparisons. The measured drag is, consistently, about 20 % lower than the geostrophic prediction (assuming that flow is dominated by the Ekman layers, while in the inviscid cores the Coriolis acceleration is supported by the pressure gradient). The major objective is the interpretation and improvement of the gap between data and predictions. We show that the data cover a small range of relevant parameters (in particular the Taylor number $T$ and the height ratio $H$ of cylinder to particle diameter) that precludes a thorough and reliable assessment of the theories. However, some useful insights and improvements can be derived. The hypothesis that the discrepancy between data and the geostrophic prediction is due to inertial effects (not sufficiently small Rossby number $Ro$ in the experiments) is dismissed. We show that the major reason for the discrepancy is the presence of relatively thick Stewartson layers about the cylinder (Taylor column) attached to the sphere. The $1/3$ layer displaces the boundary condition of the angular velocity ($omega = 0$) outside the radius of the particle. This observation suggests a semi-empirical correction to the theoretical quasi-geostrophic predictions (which takes into account the Ekman layers and the $1/4$ Stewartson layers); the corrected drag is in fair agreement with the data. We demonstrate that the inertial terms are negligible for $Ro,T^{1/2} <0.4$. We consider curve-fit approximations, and point out some persistent gaps of knowledge that require further experiments and simulations.
摘要 我们重温了固体球体在充满轻微粘性流体的旋转短容器中缓慢上升的问题,重点是阻力。我们对 Maxworthy 的经典实验数据(《流体力学》,第 31 卷,1968 年,第 643-655 页)和 Kozlov 等人的最新实验数据(《流体》,第 8 卷(2),2023 年,第 49 号论文),以及现有的地转理论和准地转理论,进行了新颖的重新处理和比较。测得的阻力始终比地转预测值低约 20%(假设流动由 Ekman 层主导,而在不粘性核心,科里奥利加速度由压力梯度支持)。主要目标是解释和改进数据与预测之间的差距。我们表明,数据涵盖的相关参数(特别是泰勒数 $T$ 和圆柱体与颗粒直径的高度比 $H$)范围很小,因此无法对理论进行全面可靠的评估。不过,我们可以从中获得一些有用的启示和改进。数据与地转预测之间的差异是由于惯性效应(实验中的罗斯比数 $Ro$ 不够小)造成的这一假设被否定了。我们的研究表明,造成差异的主要原因是连接球体的圆柱体(泰勒柱)上存在相对较厚的斯图尔特松层。1/3$ 层将角速度的边界条件($omega = 0$)移到了粒子半径之外。这一观察结果表明,对理论上的准地转预测(考虑了埃克曼层和 1/4$ Stewartson 层)进行了半经验修正;修正后的阻力与数据相当吻合。我们证明,当 $Ro,T^{1/2} <0.4$ 时,惯性项可以忽略不计。我们考虑了曲线拟合近似,并指出了一些持续存在的知识空白,需要进一步的实验和模拟。
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引用次数: 0
Order–disorder transitions within deformable particle suspensions in planar Poiseuille flow 平面波瓦流中可变形颗粒悬浮液的有序-无序转变
Pub Date : 2024-01-12 DOI: 10.1017/jfm.2023.1052
Paul C. Millett
Abstract Three-dimensional simulations of the ordering of elastic capsule suspensions within planar Poiseuille flow channels are reported. The simulations utilize the immersed boundary method coupled with the lattice Boltzmann method to capture the complex flow-induced capsule deformations and hydrodynamic interactions within the suspensions. A parametric study is presented whereby the confinement ratio and the particle deformability are varied independently within a two-dimensional range relevant to this ordering phenomenon. The initial distribution of capsules is random, and the simulations evolve the system from a disordered state to an ordered one, while an order parameter that quantifies the fraction of capsules belonging to one-dimensional train assemblies is computed throughout time. A monotonic increase in ordering is observed with increasing deformability. However, an optimal confinement ratio is identified corresponding to a peak in the order parameter. This peak is attributed to the competition between increasing long-range capsule attractions and decreasing in-plane capsule density (with fixed volume fraction) as the confinement ratio increases. Simulations are also performed to understand how dispersity in capsule size and deformability impact the degree of ordering. It is shown that ordering is quite sensitive to dispersity in capsule size, and much less sensitive to dispersity in deformability. Overall, the results provide important insights for the design of microfluidic devices.
摘要 报告了弹性胶囊悬浮液在平面波瓦流道内排序的三维模拟。模拟利用沉浸边界法和晶格玻尔兹曼法来捕捉悬浮液中由流动引起的复杂胶囊变形和流体动力学相互作用。通过参数研究,可以在与这种有序现象相关的二维范围内独立改变约束比和颗粒变形能力。胶囊的初始分布是随机的,模拟将系统从无序状态演化为有序状态,同时在整个过程中计算量化属于一维列车组件的胶囊比例的有序参数。随着变形能力的增加,有序性也会单调增加。然而,与阶次参数峰值相对应的是一个最佳约束比。这个峰值是由于随着约束比的增加,长程胶囊吸引力的增加和平面内胶囊密度(固定体积分数)的减小之间的竞争造成的。我们还进行了模拟,以了解胶囊尺寸的分散性和可变形性如何影响有序程度。结果表明,有序性对胶囊尺寸的分散性相当敏感,而对变形性的分散性的敏感性要低得多。总之,研究结果为微流控设备的设计提供了重要启示。
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引用次数: 0
Reflection of a rightward-moving oblique shock of first family over a steady oblique shock wave 一族向右运动的斜冲击波对稳定斜冲击波的反射
Pub Date : 2024-01-12 DOI: 10.1017/jfm.2023.988
Miaomiao Wang, ZhongZiheng Xu, Ziniu Wu
Abstract The reflection of a rightward-moving oblique shock (RMOS) belonging to the first family, over an initially steady oblique shock wave (SOSW) produced by a wedge, is studied in this paper. To cover all possibilities, the problem is divided into a pre-shock reflection problem, for which the incident shock is assumed to reflect over the pre-interaction part of the SOSW, and a post-shock reflection problem, for which the incident shock is assumed to reflect over the post-interaction part. Such division, together with the definition of the equivalent problem defined on the reference frame co-moving with the nominal intersection point of the two shock waves, allows us to connect the reflection patterns with the six types of shock interference of Edney, which include type I–VI shock interferences depending on how an upstream oblique shock intersects a bow shock (types I and II are regular and Mach reflections of two shocks from the opposite sides; type III and type IV have two triple points or two Mach reflection configuration; type V and type VI are irregular and regular reflections of two shocks from the same side). We are thus able to identify all possible shock reflection types and find their transition conditions. Pre-shock reflection may yield IV, V and VI (of Edney's six types) shock interferences and post-shock reflection may yield I, II and III shock interferences. Pre- and post-shock reflections possibly occur at two different parts of the SOSW, and the complete reflection configuration may have one or both of them. Both transition condition study and numerical simulation are used to show how pre-shock reflection and post-shock reflection exist alone or coexist, leading to various types of combined pre-shock and post-shock reflections.
摘要 本文研究了由楔形产生的初始稳定斜冲击波(SOSW)对属于第一族的向右移动斜冲击波(RMOS)的反射问题。为了涵盖所有可能性,本文将问题分为冲击前反射问题和冲击后反射问题,前者假定入射冲击波在 SOSW 的作用前部分上反射,后者假定入射冲击波在作用后部分上反射。这样的划分,加上在与两个冲击波的标称交点同向运动的参照系上定义的等效问题的定义,使我们能够将反射模式与埃德尼的六种冲击波干涉类型联系起来,其中包括 I-VI 型冲击波干涉,这取决于上游斜冲击波与弓冲击波相交的方式(I 型和 II 型是两个冲击波从相反方向的规则和马赫反射;III型和IV型有两个三点或两个马赫反射构型;V型和VI型是来自同一侧的两个冲击波的不规则和规则反射)。因此,我们可以确定所有可能的冲击波反射类型,并找到它们的过渡条件。冲击前反射可能产生 IV、V 和 VI(埃德尼的六种类型)冲击干涉,冲击后反射可能产生 I、II 和 III 型冲击干涉。震前和震后反射可能发生在 SOSW 的两个不同部分,完整的反射结构可能有其中一个或两个。过渡条件研究和数值模拟均用于说明冲击前反射和冲击后反射如何单独存在或共存,从而导致各种类型的冲击前和冲击后组合反射。
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引用次数: 0
FLM volume 978 Cover and Front matter FLM 第 978 卷 封面和封底
Pub Date : 2024-01-10 DOI: 10.1017/jfm.2024.12
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引用次数: 0
Structural and stability characteristics of jets in crossflow – CORRIGENDUM 横流中喷流的结构和稳定性特征 - CORRIGENDUM
Pub Date : 2020-03-20 DOI: 10.1017/jfm.2020.156
D. Getsinger, L. Gevorkyan, T. Shoji, O. Smith, A. Karagozian
After extensive examination and testing, we have determined that erroneous jet flow rates were used in some of the experiments in the above-noted papers (Getsinger et al. 2014; Gevorkyan et al. 2016). This error only pertains to those experiments involving acetone planar laser-induced fluorescence (PLIF) imaging, in which the jet fluid is a mixture of helium, nitrogen and acetone vapour. For these acetone PLIF experiments, the flow rates of helium and nitrogen were prescribed in a manner that erroneously neglected the contribution of acetone vapour to the combined mixture flow rate. Therefore, our actual jet flow rates were higher than those stated in the two papers for such experiments. The identification of instabilities cited (convective instability versus absolute instability in the upstream shear layer, for example) is unchanged in the papers, as are the overall findings on mixing metrics and trends as well as jet structure. The overarching conclusions for the papers are also unchanged. However, many of the parameter values cited in the figures require correction. To correct the research record, we note the following for transverse jet experiments in the papers mentioned above involving acetone PLIF experiments only:
经过广泛的检查和测试,我们确定上述论文(Getsinger 等人,2014 年;Gevorkyan 等人,2016 年)中的某些实验使用了错误的喷射流速。这一错误仅与涉及丙酮平面激光诱导荧光(PLIF)成像的实验有关,在这些实验中,喷射流体是氦、氮和丙酮蒸汽的混合物。在这些丙酮平面激光诱导荧光成像实验中,氦气和氮气的流速被错误地忽略了丙酮蒸汽对混合流速的贡献。因此,我们在此类实验中的实际喷射流速高于两篇论文中所述的流速。论文中引用的不稳定性识别(例如对流不稳定性与上游剪切层中的绝对不稳定性)没有变化,关于混合指标和趋势以及射流结构的总体结论也没有变化。论文的总体结论也没有变化。不过,图中引用的许多参数值需要更正。为了更正研究记录,我们对上述论文中仅涉及丙酮 PLIF 实验的横向射流实验作如下说明:
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引用次数: 0
Vortex-induced vibration prediction via an impedance criterion 通过阻抗准则预测涡激振动
Pub Date : 2020-03-04 DOI: 10.1017/jfm.2020.104
D. Sabino, D. Fabre, J. Leontini, D. L. Jacono
The vortex-induced vibration of a spring-mounted, damped, rigid circular cylinder, immersed in a Newtonian viscous flow and capable of moving in the direction orthogonal to the unperturbed flow is investigated for Reynolds numbers $Re$ in the vicinity of the onset of unsteadiness ($15leqslant Releqslant 60$) using the incompressible linearised Navier–Stokes equations. In a first step, we solve the linear problem considering an imposed harmonic motion of the cylinder. Results are interpreted in terms of the mechanical impedance, i.e. the ratio between the vertical force coefficient and the cylinder velocity, which is represented as function of the Reynolds number and the driving frequency. Considering the energy transfer between the cylinder and the fluid, we show that impedance results provide a simple criterion allowing the prediction of the onset of instability of the coupled fluid-elastic structure case. A global stability analysis of the fully coupled fluid/cylinder system is then performed. The instability thresholds obtained by this second approach are found to be in perfect agreement with the predictions of the impedance-based criterion. A theoretical argument, based on asymptotic developments, is then provided to give a prediction of eigenvalues of the coupled problem, as well as to characterise the region of instability beyond the threshold as function of the reduced velocity $U^{ast }$, the dimensionless mass $m^{ast }$ and the Reynolds number. The influence of the damping parameter $unicode[STIX]{x1D6FE}$ on the instability region is also explored.
我们使用不可压缩的线性化纳维-斯托克斯方程,研究了一个浸没在牛顿粘性流中并能沿未扰动流的正交方向运动的安装有弹簧的阻尼刚性圆柱体在雷诺数 $Re$ 在不稳定性开始附近($15leqslant Releqslant 60$)的涡旋诱导振动。首先,我们考虑了气缸的强加谐波运动来解决线性问题。结果用机械阻抗来解释,即垂直力系数与气缸速度之间的比率,它是雷诺数和驱动频率的函数。考虑到圆柱体和流体之间的能量传递,我们发现阻抗结果提供了一个简单的标准,可以预测流体-弹性耦合结构的不稳定性。然后,我们对完全耦合的流体/气缸系统进行了全局稳定性分析。通过第二种方法获得的不稳定性阈值与基于阻抗准则的预测结果完全一致。然后,基于渐近发展的理论论证给出了耦合问题特征值的预测,并根据减速度 $U^{ast }$、无量纲质量 $m^{ast }$ 和雷诺数的函数描述了阈值以外不稳定区域的特征。此外,还探讨了阻尼参数 $unicode[STIX]{x1D6FE}$ 对不稳定区域的影响。
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引用次数: 12
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Journal of Fluid Mechanics
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