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Study of the motion and interaction of micro-swimmers with different scales in Poiseuille flow 不同尺度的微型游泳者在普瓦赛流中的运动和相互作用研究
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-11-05 DOI: 10.1016/j.euromechflu.2024.11.001
Tingting Qi (亓婷婷) , Jianzhong Lin (林建忠) , Zhenyu Ouyang (欧阳振宇)
We conducted numerical simulations using the immersed boundary–lattice Boltzmann method to investigate the motion and interaction of microswimmers of different scales in Poiseuille flow. The squirmers self-propelling via generating surface waves were used as the model for microswimmers. The movement of two squirmers with different scale ratios (0.6–1.5), swimming Reynolds numbers (0.1–2.0), swimming strength (1–7), and blockage ratios (0.125–0.25) in Poiseuille flow was studied. Five classical motion patterns were identified: periodic tumbling, steady motion, periodic oscillation, damped oscillation, and chaotic motion modes. Initially, we examined the interaction between a pair of squirmers of the same scale and elucidated the causes of their different motion pattern transitions using the pressure distribution, direction angle, and swimming velocity of the squirmers. We investigated the variation of transport velocity with blockage ratio and swimming strength. A pair of squirmers with small ratios tended to migrate in a stable motion pattern, while those with large ratios showed a high tendency to change their motion patterns. Pushers with an increasing swimming Reynolds number were adsorbed to the wall and migrated stably along the wall.
我们采用沉浸边界-晶格玻尔兹曼法进行了数值模拟,研究了不同尺度的微游泳在波瓦流中的运动和相互作用。微游子的模型是通过产生表面波而自我推进的蠕虫。研究了两只具有不同尺度比(0.6-1.5)、游动雷诺数(0.1-2.0)、游动强度(1-7)和阻塞比(0.125-0.25)的蠕动器在 Poiseuille 流中的运动。确定了五种经典运动模式:周期性翻滚、稳定运动、周期性振荡、阻尼振荡和混沌运动模式。我们首先研究了一对相同尺度蠕虫之间的相互作用,并利用蠕虫的压力分布、方向角和游动速度阐明了它们不同运动模式转换的原因。我们研究了运输速度随阻塞率和游动强度的变化。一对阻塞率较小的蠕虫倾向于以稳定的运动模式迁移,而阻塞率较大的蠕虫则表现出较高的运动模式变化趋势。游动雷诺数增大的蠕动者被吸附在壁上,并沿壁稳定迁移。
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引用次数: 0
Vertical concentration distribution of fine settling particles in a pulsatile laminar open channel flow 脉动层流明渠流中细小沉降颗粒的垂直浓度分布
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-11-01 DOI: 10.1016/j.euromechflu.2024.10.015
Subham Dhar , Nanda Poddar , Kajal Kumar Mondal
Sedimentation in river and drainage systems frequently increases flood risks, making the study of particle dispersion crucial for effective flood damage control. In the present research, the transport of fine settling particles in a laminar, periodic flow through an open channel is analytically investigated using the multi-scale homogenization method. To investigate how settling velocity affects the dispersion process of fine particles in a tidal wetland, Dhar et al. (2022) studied the dispersion coefficient and mean concentration of the settling particles applying the method of moments. The mean and transverse real concentration distributions of settling particles are analytically derived from the governing equation, and the influence of settling velocity, oscillation Reynolds number, and Schmidt number on the dispersivity and concentration profile of the settling particles is investigated. The results show a vertical non-uniformity of longitudinal concentration distribution due to the introduction of settling velocity. It is also observed that the sedimentation effect for purely oscillatory flow is negligibly small compared to that of the steady and oscillatory flow with a nonzero mean. Pulsatile behavior is observed in the difference rate profile between Taylor’s mean and present mean concentration. The study sheds light on the behavior of settling particles and can be useful for understanding sedimentation and wastewater treatment processes.
河流和排水系统中的沉积物经常会增加洪水风险,因此研究颗粒的分散对有效控制洪水灾害至关重要。本研究采用多尺度均质化方法,对流经明渠的层流、周期性流动中细小沉降颗粒的输运进行了分析研究。为了研究沉降速度如何影响潮汐湿地中细颗粒的扩散过程,Dhar 等人(2022 年)采用矩量法研究了沉降颗粒的扩散系数和平均浓度。根据控制方程分析得出了沉降颗粒的平均浓度分布和横向实际浓度分布,并研究了沉降速度、振荡雷诺数和施密特数对沉降颗粒的分散性和浓度分布的影响。结果表明,由于引入了沉降速度,纵向浓度分布出现了垂直不均匀性。同时还观察到,与平均值不为零的稳定流和振荡流相比,纯振荡流的沉降效应小得可以忽略不计。在泰勒平均浓度和当前平均浓度之间的差率曲线中观察到了脉动行为。这项研究揭示了沉降颗粒的行为,有助于理解沉降和废水处理过程。
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引用次数: 0
Fully developed flow of a higher-gradient nanofluid in a vertical channel: Mixed and natural convection 高梯度纳米流体在垂直通道中的完全流动:混合对流和自然对流
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-10-31 DOI: 10.1016/j.euromechflu.2024.10.013
A. Borrelli , G. Giantesio , M.C. Patria
In the present work, we study the steady Poiseuille flow and heat transfer of a viscous fluid containing nano-sized particles in a vertical channel. The two walls of the infinitely long channel are kept at different constant temperatures. Particles and fluid may have different densities, and account is taken of the thermal expansivity of the fluid by invoking the Boussinesq approximation.
The momentum equation describing the fluid differs from the Navier–Stokes equations by containing a bi-Laplacian term of the velocity, as proposed by Fried and Gurtin. The higher-order terms in the momentum equation require additional boundary conditions (strong, weak, general adherence). Several velocity profiles are presented also for real nanofluid suspensions. The found velocities are compared with the velocity of nanofluids relative to the Buongiorno model.
在本研究中,我们研究了含有纳米级颗粒的粘性流体在垂直通道中的稳定波瓦流和热传导。无限长通道的两壁保持不同的恒定温度。粒子和流体可能具有不同的密度,并通过引用布森斯克近似值考虑了流体的热膨胀性。描述流体的动量方程与纳维-斯托克斯方程不同,它包含一个速度的双拉普拉斯项,这是由弗里德和古尔丁提出的。动量方程中的高阶项需要额外的边界条件(强、弱、一般粘附)。研究还给出了实际纳米流体悬浮液的几种速度曲线。所发现的速度与 Buongiorno 模型中纳米流体的速度进行了比较。
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引用次数: 0
Annular Newtonian Poiseuille flow with pressure-dependent wall slip 随压力变化的壁面滑移的环状牛顿泊伊流
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-10-28 DOI: 10.1016/j.euromechflu.2024.10.012
Kostas D. Housiadas , Evgenios Gryparis , Georgios C. Georgiou
We investigate the effect of pressure-dependent wall slip on the steady Newtonian annular Poiseuille flow employing Navier’s slip law with a slip parameter that varies exponentially with pressure. The dimensionless governing equations and accompanying auxiliary conditions are solved analytically up to second order by implementing a regular perturbation scheme in terms of the small dimensionless pressure-dependence slip parameter. An explicit formula for the average pressure drop, required to maintain a constant volumetric flowrate, is also derived. This is suitably post-processed by applying a convergence acceleration technique to increase the accuracy of the original perturbation series. The effects of pressure-dependent wall slip are more pronounced when wall slip is weak. However, as the slip coefficient increases, these effects are moderated and eventually eliminated as the perfect slip case is approached. The results show that the average pressure drop remains practically constant until the Reynolds number becomes sufficiently large. It is worth noting that all phenomena associated with pressure-dependent wall slip are amplified as the annular gap is reduced.
我们采用纳维尔滑移定律,利用随压力呈指数变化的滑移参数,研究了随压力变化的壁面滑移对稳定的牛顿环形波瓦耶流的影响。通过实施一种以小的无量纲压力相关滑移参数为条件的规则扰动方案,对无量纲控制方程和伴随的辅助条件进行二阶解析求解。此外,还得出了保持恒定容积流量所需的平均压降的明确公式。通过采用收敛加速技术对其进行适当的后处理,以提高原始扰动序列的精度。当壁面滑移较弱时,与压力相关的壁面滑移的影响更为明显。然而,随着滑移系数的增大,这些影响逐渐减弱,并在接近完美滑移情况时最终消除。结果表明,在雷诺数足够大之前,平均压降实际上保持不变。值得注意的是,所有与压力相关的壁面滑移现象都会随着环形间隙的减小而放大。
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引用次数: 0
A two-dimensional numerical characterization on the droplet dynamics in the electric field by VOSET method 用 VOSET 方法对电场中液滴动力学进行二维数值表征
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-10-26 DOI: 10.1016/j.euromechflu.2024.10.014
Yanning Wang , Na Zhou , Peng Yu , Hong Lu , Lin Miao , Xiaoyan Chen , Dongliang Sun
A coupled volume-of-fluid and level set (VOSET) model is extended to the simulation of electro-hydrodynamic (EHD) flow. The good accuracy of proposed model is validated by comparing with previous results. Although the electrostrictive force might be greater than the Coulomb and dielectric forces under certain conditions, it has no influence on droplet dynamic behaviors except the pressure distribution. The electro-coalescence of droplet pair is systematically investigated. In addition to the coalescence and repulsion, two droplets might neither coalesce nor repulse with the repulsive hydrodynamic force and attractive electric force strike a balance. The electro-coalescence of two droplets always happens as long as the electric conductivity ratio is smaller than the permittivity ratio. The critical permittivity ratio separating the coalescence and repulsion of droplets increases as the increase of electric conductivity ratio. The electro-coalescence time of two droplets decreases as the permittivity ratio and electric capillary number increase. Nevertheless, the electro-coalescence time shows different variation tendency as the increase of electric conductivity ratio with different permittivity ratios and electric capillary numbers.
流体容积和液面集(VOSET)耦合模型被扩展用于电流体动力(EHD)流动的模拟。通过与之前的结果进行比较,验证了所提出模型的良好准确性。虽然在某些条件下,电致伸缩力可能大于库仑力和介电力,但除了压力分布外,它对液滴的动态行为没有影响。系统研究了液滴对的电凝聚。除了凝聚和排斥之外,在排斥性流体动力和吸引力电场力的平衡下,两液滴可能既不凝聚也不排斥。只要电导比小于介电比,两液滴就会发生电凝聚。分离液滴凝聚和排斥的临界介电比随着电导比的增大而增大。两个液滴的电凝聚时间随着介电比和电毛细管数的增加而缩短。然而,在不同的导电率和毛细管数下,电凝聚时间随导电率的增加而呈现出不同的变化趋势。
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引用次数: 0
Coating flow of a liquid film with colloidal particles on a vertical fiber 带有胶体颗粒的液膜在垂直纤维上的涂布流动
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-10-22 DOI: 10.1016/j.euromechflu.2024.10.009
Garima Singh, Naveen Tiwari
A thin liquid film of colloidal suspension is considered which is spreading down on a vertical cylinder under the effect of gravity. A precursor film model is employed at the three-phase contact line to relieve the stress singularity. The curvature pressure leads to the formation of a capillary ridge at the contact-line. Bulk and surface colloids are assumed to be present in the liquid film. The interfacial pattern is governed by the film evolution equation, obtained by simplifying mass and momentum balance equations within the lubrication assumption, while rapid vertical diffusion is assumed for the advection–diffusion equation of the bulk concentration. Fluid viscosity and diffusivity are considered to be functions of the particle volume fraction. The effects of the bulk and surface colloids on the spreading film dynamics are systematically studied. The presence of bulk colloids leads to the thinning of the capillary ridge for smaller inlet bulk colloid concentrations. On the other hand, a larger inlet bulk concentration leads to the formation of a secondary advancing front behind the capillary ridge in the film profile. A reduced contact point velocity is observed with an increase in the upstream bulk concentration. Surface concentration is found to result in a hump-like structure behind the capillary ridge in the upstream direction due to solutal Marangoni stress. The Marangoni stress also hinders the surface-tension-driven spreading, resulting in a smaller contact line velocity. Reducing the Bond number results in unstable film profiles, which lead to a wave-like structure in the region with no bulk concentration gradients.
研究考虑了胶体悬浮液薄膜在重力作用下在垂直圆柱体上向下扩散的问题。在三相接触线上采用了前驱膜模型来缓解应力奇异性。曲率压力导致在接触线处形成毛细管脊。假设液膜中存在块状胶体和表面胶体。界面形态由薄膜演化方程控制,该方程是通过简化润滑假设中的质量和动量平衡方程得到的,而体积浓度的平流-扩散方程则假设为快速垂直扩散。流体粘度和扩散率被认为是颗粒体积分数的函数。系统研究了大量胶体和表面胶体对铺展薄膜动力学的影响。对于较小的入口体积胶体浓度,体积胶体的存在会导致毛细管脊变薄。另一方面,较高的入口胶体浓度会在薄膜剖面的毛细管脊后面形成一个次级推进锋。随着上游胶体浓度的增加,接触点速度降低。由于溶质马兰戈尼应力的作用,发现表面浓度会在上游方向的毛细管脊后形成驼峰状结构。马兰戈尼应力还阻碍了表面张力驱动的扩散,导致接触线速度变小。降低邦德数会导致不稳定的薄膜剖面,从而在没有体积浓度梯度的区域形成波状结构。
{"title":"Coating flow of a liquid film with colloidal particles on a vertical fiber","authors":"Garima Singh,&nbsp;Naveen Tiwari","doi":"10.1016/j.euromechflu.2024.10.009","DOIUrl":"10.1016/j.euromechflu.2024.10.009","url":null,"abstract":"<div><div>A thin liquid film of colloidal suspension is considered which is spreading down on a vertical cylinder under the effect of gravity. A precursor film model is employed at the three-phase contact line to relieve the stress singularity. The curvature pressure leads to the formation of a capillary ridge at the contact-line. Bulk and surface colloids are assumed to be present in the liquid film. The interfacial pattern is governed by the film evolution equation, obtained by simplifying mass and momentum balance equations within the lubrication assumption, while rapid vertical diffusion is assumed for the advection–diffusion equation of the bulk concentration. Fluid viscosity and diffusivity are considered to be functions of the particle volume fraction. The effects of the bulk and surface colloids on the spreading film dynamics are systematically studied. The presence of bulk colloids leads to the thinning of the capillary ridge for smaller inlet bulk colloid concentrations. On the other hand, a larger inlet bulk concentration leads to the formation of a secondary advancing front behind the capillary ridge in the film profile. A reduced contact point velocity is observed with an increase in the upstream bulk concentration. Surface concentration is found to result in a hump-like structure behind the capillary ridge in the upstream direction due to solutal Marangoni stress. The Marangoni stress also hinders the surface-tension-driven spreading, resulting in a smaller contact line velocity. Reducing the Bond number results in unstable film profiles, which lead to a wave-like structure in the region with no bulk concentration gradients.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"109 ","pages":"Pages 271-283"},"PeriodicalIF":2.5,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142536098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effects of offset jet width on periodic flow in a dual jet 偏移射流宽度对双射流中周期性流动的影响
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-10-20 DOI: 10.1016/j.euromechflu.2024.10.005
Tanmoy Mondal
The primary aim of this work is to investigate the impact of the offset jet width on the unsteady flow characteristics of a turbulent dual jet, which consists of a wall jet and an offset jet. A computational fluid dynamics code is developed to solve the unsteady Reynolds-averaged Navier–Stokes (URANS) equations. The width of the offset jet is varied while keeping the width of the wall jet constant at the separation distance between the two jets. When the ratio of the offset jet width (w) to the separation distance (d) is w/d=0.5, the flow field exhibits a periodic vortex shedding phenomenon. Conversely, when w/d=0.4, the flow field remains steady. The shedding phenomenon is discernible even when w/d=2. The instantaneous velocity components display sinusoidal oscillations at 0.5w/d2. Applying the fast Fourier transform to these sinusoidal signals yields a distinct frequency peak at the vortex shedding frequency. Within the range of 0.5w/d2, the shedding frequency decreases as the width of the offset jet increases. This trend continues until it reaches a constant value at w/d=1.4. This indicates that the width of the offset jet has a notable influence on the shedding phenomenon within the range of 0.5w/d1.4. For 1.4<w/d2, the shedding frequency remains unaffected by the offset jet width variation. Depending on the value of w/d, the shedding phenomenon is characterized by three flow regimes: a steady flow regime (forw/d0.4), an outer share layer-influenced shedding regime (for w/d=0.51.4), and an outer shear layer-free shedding regime (for w/d>1.4).
这项工作的主要目的是研究偏置射流宽度对湍流双射流(由壁面射流和偏置射流组成)非稳态流动特性的影响。开发了一种计算流体动力学代码,用于求解雷诺平均纳维-斯托克斯(URANS)非稳态方程。偏置射流的宽度是变化的,而壁面射流的宽度在两个射流的分离距离上保持不变。当偏置射流宽度(w)与分离距离(d)之比为 w/d=0.5 时,流场呈现周期性涡流脱落现象。相反,当 w/d=0.4 时,流场保持稳定。即使当 w/d=2 时,也能看到脱落现象。瞬时速度分量在 0.5≤w/d≤2 时显示正弦振荡。对这些正弦信号进行快速傅里叶变换后,会在涡流脱落频率处产生一个明显的频率峰。在 0.5≤w/d≤2 的范围内,脱落频率随着偏移射流宽度的增加而降低。这一趋势一直持续到 w/d=1.4 时达到恒定值。这表明在 0.5≤w/d≤1.4 的范围内,偏置射流的宽度对脱落现象有显著影响。对于 1.4<w/d≤2,脱落频率不受偏置射流宽度变化的影响。根据 w/d 值的不同,脱落现象有三种流态:稳定流态(w/d≤0.4 时)、受外共享层影响的脱落态(w/d=0.5-1.4 时)和无外剪切层的脱落态(w/d>1.4 时)。
{"title":"Effects of offset jet width on periodic flow in a dual jet","authors":"Tanmoy Mondal","doi":"10.1016/j.euromechflu.2024.10.005","DOIUrl":"10.1016/j.euromechflu.2024.10.005","url":null,"abstract":"<div><div>The primary aim of this work is to investigate the impact of the offset jet width on the unsteady flow characteristics of a turbulent dual jet, which consists of a wall jet and an offset jet. A computational fluid dynamics code is developed to solve the unsteady Reynolds-averaged Navier–Stokes (URANS) equations. The width of the offset jet is varied while keeping the width of the wall jet constant at the separation distance between the two jets. When the ratio of the offset jet width (<span><math><mi>w</mi></math></span>) to the separation distance (<span><math><mi>d</mi></math></span>) is <span><math><mrow><mi>w</mi><mo>/</mo><mi>d</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></math></span>, the flow field exhibits a periodic vortex shedding phenomenon. Conversely, when <span><math><mrow><mi>w</mi><mo>/</mo><mi>d</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>4</mn></mrow></math></span>, the flow field remains steady. The shedding phenomenon is discernible even when <span><math><mrow><mi>w</mi><mo>/</mo><mi>d</mi><mo>=</mo><mn>2</mn></mrow></math></span>. The instantaneous velocity components display sinusoidal oscillations at <span><math><mrow><mn>0</mn><mo>.</mo><mn>5</mn><mo>≤</mo><mi>w</mi><mo>/</mo><mi>d</mi><mo>≤</mo><mn>2</mn></mrow></math></span>. Applying the fast Fourier transform to these sinusoidal signals yields a distinct frequency peak at the vortex shedding frequency. Within the range of <span><math><mrow><mn>0</mn><mo>.</mo><mn>5</mn><mo>≤</mo><mi>w</mi><mo>/</mo><mi>d</mi><mo>≤</mo><mn>2</mn></mrow></math></span>, the shedding frequency decreases as the width of the offset jet increases. This trend continues until it reaches a constant value at <span><math><mrow><mi>w</mi><mo>/</mo><mi>d</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>4</mn></mrow></math></span>. This indicates that the width of the offset jet has a notable influence on the shedding phenomenon within the range of <span><math><mrow><mn>0</mn><mo>.</mo><mn>5</mn><mo>≤</mo><mi>w</mi><mo>/</mo><mi>d</mi><mo>≤</mo><mn>1</mn><mo>.</mo><mn>4</mn></mrow></math></span>. For <span><math><mrow><mn>1</mn><mo>.</mo><mn>4</mn><mo>&lt;</mo><mi>w</mi><mo>/</mo><mi>d</mi><mo>≤</mo><mn>2</mn></mrow></math></span>, the shedding frequency remains unaffected by the offset jet width variation. Depending on the value of <span><math><mrow><mi>w</mi><mo>/</mo><mi>d</mi></mrow></math></span>, the shedding phenomenon is characterized by three flow regimes: a steady flow regime (for<span><math><mrow><mi>w</mi><mo>/</mo><mi>d</mi><mo>≤</mo><mn>0</mn><mo>.</mo><mn>4</mn></mrow></math></span>), an outer share layer-influenced shedding regime (for <span><math><mrow><mi>w</mi><mo>/</mo><mi>d</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>−</mo><mn>1</mn><mo>.</mo><mn>4</mn></mrow></math></span>), and an outer shear layer-free shedding regime (for <span><math><mrow><mi>w</mi><mo>/</mo><mi>d</mi><mo>&gt;</mo><mn>1</mn><mo>.</mo><mn>4</mn></mrow></math></span>).</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"109 ","pages":"Pages 253-270"},"PeriodicalIF":2.5,"publicationDate":"2024-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142536099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Surface wave damping by a Robin boundary condition at a permeable seabed 透水海床罗宾边界条件的面波阻尼作用
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-10-18 DOI: 10.1016/j.euromechflu.2024.10.010
Jan Erik H. Weber
We investigate the damping of inviscid surface gravity waves when they propagate over a permeable seabed. Traditionally, this problem is solved by considering the wave motion in the upper water layer interacting with the Darcy flow in the porous bottom layer through matching of the solutions at the permeable interface. The novel approach in this study is that we describe the interaction between the upper fluid layer and the permeable bottom layer by the application of a Robin boundary condition. By varying the magnitude of the Robin parameter R, we can model the bottom structure of the fluid layer from rigid to completely permeable. In the case when the bottom is a porous medium where Darcy’s law applies, or composed by densely packed vertical Hele-Shaw cells, R is small, and can by determined by comparison with analytical results for a two-layer structure. In this case the wave damping is small. For larger values of R, the damping increases, and for very large R, the wave is almost critically damped. For the nonlinear transport in spatially damped shallow-water waves, increasing bottom permeability (larger R), reduces the magnitude of the horizontal Stokes drift velocity, while the drift profile tends to become parabolic with height. The vertical Stokes drift in the limit of large permeability is linear with height, with a magnitude that is larger than the horizontal drift. It is suggested that the implementation of a permeable bottom bed in some cases could prevent shorelines from damaging erosion by incoming surface waves.
我们研究了不粘性表面重力波在透水海床上传播时的阻尼问题。传统上,解决这一问题的方法是考虑上水层中的波浪运动与多孔底层中的达西流之间的相互作用,通过在渗透界面上进行匹配求解。本研究的新方法是通过应用罗宾边界条件来描述上层流体层与渗透底层之间的相互作用。通过改变罗宾参数 R 的大小,我们可以模拟流体层从刚性到完全渗透的底部结构。当底层为适用达西定律的多孔介质或由密集的垂直海尔-肖单元组成时,R 值很小,可通过与两层结构的分析结果进行比较来确定。在这种情况下,波的阻尼很小。R 值越大,阻尼越大,当 R 值非常大时,波的阻尼几乎达到临界值。对于空间阻尼浅水波的非线性输运,增加底部渗透率(R 越大)会减小水平斯托克斯漂移速度的大小,同时漂移剖面随高度的增加呈抛物线趋势。在渗透率较大的情况下,垂直斯托克斯漂移与高度呈线性关系,漂移幅度大于水平漂移。这表明,在某些情况下,采用透水性底床可以防止海岸线被涌入的表面波侵蚀。
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引用次数: 0
Exploring the influence of flexibility on rotor performance in turbulent flow environments 探索湍流环境中灵活性对转子性能的影响
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-10-16 DOI: 10.1016/j.euromechflu.2024.10.002
Marwa Fakhfekh , Wael Ben Amira , Malek Abid , Aref Maalej
Flexibility plays a crucial role in the design and performance of modern rotors. Its impact on rotor performance and its ability to adapt to external flow disturbances are well-established. In this study, we employ numerical simulations to explore the behavior of a flexible rotor submerged in a turbulent flow, aiming to forecast the influence of its flexibility on performance metrics. The rotational motion of the rotor and the forces imposed by the flow induce deformations in the blades, including bending and twisting. These deformations not only disrupt the flow patterns (vortices) in the turbulent wake but also modify the aerodynamic profiles, thereby affecting essential performance aspects such as thrust, drag, and lift. Our objective is to uncover the relationships between blade deformations, rotation frequencies, and rotor performance in a turbulent flow with a Reynolds number, Re=O(104), and for a tip speed ratio in the range [0,18]. We demonstrate that the mean blade bending angle can be effectively expressed using a modified Cauchy number, revealing a scaling law. We also examined how the aerodynamic performance of the rotor blade is affected by variations in the tip speed ratio, either amplifying or reducing it. Through this research, we advance our understanding of the interplay between rotor flexibility, deformation, and performance, contributing to the optimization of rotor design and operational efficiency.
灵活性在现代转子的设计和性能中起着至关重要的作用。它对转子性能的影响及其适应外部流动干扰的能力已得到公认。在本研究中,我们采用数值模拟来探索浸没在湍流中的柔性转子的行为,旨在预测其柔性对性能指标的影响。转子的旋转运动和气流施加的力会导致叶片变形,包括弯曲和扭曲。这些变形不仅会破坏湍流尾流中的流动模式(涡),还会改变气动外形,从而影响推力、阻力和升力等基本性能。我们的目标是揭示雷诺数为 Re=O(104)、叶尖速比范围为 [0,18] 的湍流中叶片变形、旋转频率和转子性能之间的关系。我们证明了平均叶片弯曲角可以用修正的考奇数有效表示,并揭示了一个缩放规律。我们还研究了叶尖速度比的变化如何影响转子叶片的气动性能,要么放大,要么缩小。通过这项研究,我们加深了对转子柔韧性、变形和性能之间相互作用的理解,有助于优化转子设计和提高运行效率。
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引用次数: 0
A novel transformation free nonuniform higher order compact finite difference scheme for solving incompressible flows on circular geometries 用于求解圆形几何体上不可压缩流动的新型无变换非均匀高阶紧凑有限差分方案
IF 2.5 3区 工程技术 Q2 MECHANICS Pub Date : 2024-10-16 DOI: 10.1016/j.euromechflu.2024.10.004
Swapan K. Pandit, Pradip Das
This paper presents a newly developed higher order compact scheme that is designed on a polar grid by using an implicit form of first order derivatives on nonuniform grids. These derivatives are formulated compactly and implicitly with a relationship of the coefficients in terms of the unknown variables. The proposed scheme is free from transformation technique and third order accurate in space. The objective is to solve Stokes equations and Navier–Stokes equations on curvilinear grids using the polar nature of the coordinate system. Our newly developed scheme is used to solve several problems namely, a problem having an analytical solution, Stokes flow with different orientations of the lids for the half filled annular and wedge cavity, the lid driven polar cavity flow and flow past an impulsively started circular cylinder. Our newly developed scheme is used to analyze the flow structures for the flow governed by different physical control parameters: the cavity radius ratio, the cavity angle and the ratio of the upper and lower lid speeds with rotating coaxial cylinders and Reynolds number for the impulsively started circular cylinder. The Stokes equations and the Navier–Stokes equations are efficiently solved with Dirichlet as well as Neumann boundary conditions. The efficacy and robustness of our proposed scheme are shown through its applicability in all the complex fluid flow problems.
本文介绍了一种新开发的高阶紧凑方案,该方案通过在非均匀网格上使用一阶导数的隐含形式,在极坐标网格上进行设计。这些导数是根据未知变量的系数关系以紧凑和隐含的方式计算的。所提出的方案无需转换技术,在空间上具有三阶精度。我们的目标是利用坐标系的极性来求解曲线网格上的斯托克斯方程和纳维-斯托克斯方程。我们新开发的方案用于解决几个问题,即有解析解的问题、半填满环形和楔形空腔不同方向盖子的斯托克斯流动、盖子驱动的极性空腔流动和经过脉冲启动圆柱体的流动。我们新开发的方案用于分析受不同物理控制参数支配的流动结构:空腔半径比、空腔角度、旋转同轴圆柱体的上下盖速度比以及脉冲启动圆柱体的雷诺数。利用 Dirichlet 和 Neumann 边界条件有效地求解了斯托克斯方程和 Navier-Stokes 方程。我们提出的方案适用于所有复杂的流体流动问题,显示了它的有效性和稳健性。
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European Journal of Mechanics B-fluids
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