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Numerical modeling of coalescence of two equal-sized droplets coated with particles 两个包覆粒子的等大小液滴聚结的数值模拟
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-11-18 DOI: 10.1016/j.ijmultiphaseflow.2025.105554
Hanlin Zhou , Ningjing Mao , Yong Liu , Hong Liang , Haihu Liu
Coalescence dynamics of two equal-sized droplets coated with a fixed number of particles is numerically investigated using the lattice Boltzmann color-gradient model coupled with particle dynamics. By varying particle distribution range, we first show that the addition of particles can retard droplet deformation, and even in the absence of particles in the growth region of liquid bridge, more particles distributed at the axial ends of droplets significantly hinder droplet deformation. This is mainly because high kinetic energy region, which is concentrated at the axial ends of the droplet, is inhibited by particles in this region. We then vary the viscosity ratio of ambient fluid to droplet and find that for a moderate viscosity ratio, decreasing the particle distribution range causes the droplet oscillation mode to shift from critically damped to overdamped. In the under-damped mode, droplets are able to reach steady state earlier with a decrease in particle distribution range, while an opposite trend is observed in the overdamped mode. We also demonstrate that in addition to introducing particles, the reduction of particle distribution range equally contributes to increasing apparent viscosity of the ambient fluid. Finally, it is found that as the contact angle decreases, the damping ratio of droplet oscillations increases due to increased viscous dissipations and thus the maximum kinetic energy that the droplet can achieve decreases. As the particle distribution range increases, the effect of particles on droplet oscillations weakens, gradually making total kinetic energy and droplet deformation evolution curves for different contact angles indistinguishable.
采用结合粒子动力学的晶格玻尔兹曼颜色梯度模型,对包覆固定数量粒子的两个等大小液滴的聚结动力学进行了数值研究。通过改变颗粒分布范围,我们首先发现颗粒的加入可以延缓液滴变形,即使在液桥生长区域没有颗粒的情况下,液滴轴端分布较多的颗粒也会显著阻碍液滴变形。这主要是因为集中在液滴轴端的高动能区域受到该区域颗粒的抑制。然后,我们改变环境流体与液滴的粘度比,发现在中等粘度比下,减小颗粒分布范围会导致液滴的振荡模式从临界阻尼转变为过阻尼。在欠阻尼模式下,液滴能够更早达到稳态,颗粒分布范围减小,而在过阻尼模式下则相反。我们还证明,除了引入颗粒外,颗粒分布范围的缩小同样有助于增加周围流体的表观粘度。最后发现,随着接触角的减小,由于黏性耗散的增加,液滴振荡的阻尼比增大,液滴能达到的最大动能减小。随着颗粒分布范围的增大,颗粒对液滴振荡的影响减弱,逐渐使不同接触角下的总动能和液滴变形演化曲线难以区分。
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引用次数: 0
Numerical investigation on the effect of physical properties of alternative fuels on in-nozzle cavitation in a full-scale injector for a two-stroke marine engine 二冲程船用发动机全尺寸喷油器内替代燃料物理特性对喷嘴内空化影响的数值研究
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-11-10 DOI: 10.1016/j.ijmultiphaseflow.2025.105523
Nicolai Arent Quist , Simon Matlok , Stefan Sajin-Henningsen , Kar Mun Pang , Thomas Schaldemose Norman , Stefan Mayer , Jens Honoré Walther
A large-eddy simulation (LES) coupled with the volume-of-fluid (VOF) method and different cavitation growth models are employed to investigate the effect of physical properties of methanol and ammonia fuel on in-nozzle cavitation in a full-scale dual-hole fuel injector of a large marine two-stroke engine. The numerical approach is evaluated for hydraulic oil using particle image velocimetry (PIV) measurements and shadowgraph images from experiments with a transparent replica of the nozzle. The LES results show an accurate prediction of mass flow rates at different cavitation numbers with discrepancies less than 5% in the transition region between non-choked and choked flow conditions. The qualitative appearance of cavitation formation resembles the shadowgraph images at two different cavitation numbers. At the cavitation number of 1.3, a good agreement on transverse velocity profiles is seen between the LES results and PIV measurements, while at a higher cavitation number of 2.1, discrepancies are seen in regions where cavitation structures exist. Subsequently, the effects of non-isothermal physical properties of two alternative fuels, methanol and ammonia, are investigated and compared to n-dodecane. A thermodynamic cooling effect is seen for methanol and ammonia due to a lower critical temperature and higher latent heat of vaporization. Two different cavitation growth rates, an inertia-controlled and a thermal-diffusion controlled, are evaluated for all three fuels and the results suggest that ammonia fuel is limited by thermal effects. Finally, a comparison of wall heat transfer for all three fuels shows that the heat transfer rates of methanol and ammonia are approximately two- and sevenfold compared to that of n-dodecane, respectively, with the highest heat flux in the proximity of the cavitation region where liquid is attached to the wall.
采用大涡模拟(LES)、流体体积法(VOF)和不同的空化增长模型,研究了甲醇和氨燃料的物理性质对大型船用二冲程发动机全尺寸双孔喷油器喷嘴内空化的影响。利用粒子图像测速(PIV)测量和透明喷管复制品实验的阴影图像,对液压油的数值计算方法进行了评估。结果表明,不同空化数下的质量流量预测精度较高,无堵塞流和堵塞流过渡区差异小于5%。空化形成的定性外观类似于两个不同空化数时的影图图像。当空化数为1.3时,LES结果与PIV测量结果在横向速度剖面上的一致性较好,而当空化数为2.1时,在存在空化结构的区域出现差异。随后,研究了两种替代燃料甲醇和氨的非等温物理性质的影响,并与正十二烷进行了比较。由于较低的临界温度和较高的汽化潜热,可以看到甲醇和氨的热力学冷却效应。对三种燃料进行了两种不同的空化生长速率(惯性控制和热扩散控制)评估,结果表明氨燃料受热效应的限制。最后,对所有三种燃料的壁面传热的比较表明,甲醇和氨的传热速率分别是正十二烷的两倍和七倍,在液体附着在壁面的空化区域附近的热流密度最高。
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引用次数: 0
A model for evaluating the amplitude of pressure wave impacts generated by the collapse of bubble cluster near a solid wall 固体壁面附近气泡团崩塌产生的压力波冲击振幅的评估模型
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-11-10 DOI: 10.1016/j.ijmultiphaseflow.2025.105533
Di Zhao , Yang Li , Fuqiang Deng , Lingxin Zhang , Xinsheng Cheng
Cavitation-induced erosion in underwater structures is primarily attributed to the high pressures generated during the collapse of cavitation bubbles. To explore the mechanisms of these pressure impacts, this study presents a detailed three-dimensional numerical study on the collapse of bubble clusters near a solid wall and put forward a model for the pressure wave impact evaluation. Simulations are performed on the OpenFOAM platform utilizing a direct numerical simulation approach. The Volume of Fluid (VOF) method is employed to accurately capture the interface between the two phases. The results show that the collapse of bubble clusters near the wall displays an asynchronous layer-by-layer collapse pattern. The wall is subjected to several pressure wave impacts, with the most significant arising from the pressure wave released after the complete collapse of the bubble cluster. The jet also impacts the wall when the standoff distance γc is small enough. At high vapor volume fractions, parametric studies reveal that the pressure wave impact induced by 5-layer bubble clusters is independent of the radius of the internal bubbles R0, and increases exponentially with driving pressure Δp0.50.6. Within the range of γc=13, the pressure wave impact can be considered proportional to γc1.61.5. And the pressure wave impact increases linearly with volume fraction αv when αv>0.238. We derived a theoretical formula for evaluating the amplitude of the pressure wave impact during bubble cluster collapse through the energy conversion mechanism. Moreover, The arrangements in dense spherical clusters have little effect on pressure wave impact at large stand-off distances, but become considerable when the cluster is very close to the wall, especially in sparse clusters. The geometric symmetry of bubble clusters may also exert a significant influence on the pressure wave impacts. This study can provide valuable insights for predicting cavitation damage for engineering applications.
水下结构物的空化侵蚀主要是由空化气泡崩塌时产生的高压引起的。为了探索压力波冲击的机理,本文对固体壁面附近气泡团破碎进行了详细的三维数值研究,并提出了压力波冲击评价模型。利用直接数值模拟方法在OpenFOAM平台上进行仿真。采用流体体积法(VOF)精确捕捉两相界面。结果表明,气泡团在壁面附近的崩塌呈现出一种非同步的逐层崩塌模式。壁面受到几种压力波的冲击,其中气泡团完全崩溃后释放的压力波影响最大。当距γ - c足够小时,射流也会撞击壁面。在高蒸汽体积分数下,参数研究表明,5层气泡团簇引起的压力波冲击与内部气泡半径R0无关,并随着驱动压力Δp0.5 ~ 0.6呈指数增长。在γc=1 ~ 3范围内,压力波的影响可以认为与γc−1.6 ~−1.5成正比。当αv>;0.238时,压力波冲击随体积分数αv呈线性增加。通过能量转换机制,推导出了气泡团崩塌过程中压力波冲击幅度的理论计算公式。此外,密集球形团簇的排列在较大的隔离距离下对压力波冲击的影响很小,但当团簇非常靠近壁面时,特别是在稀疏的团簇中,压力波的影响就变得相当大。气泡团簇的几何对称性也可能对压力波影响产生重要影响。该研究可为工程应用中的空化损伤预测提供有价值的见解。
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引用次数: 0
On the effects of ventilation rate and Froude number on air-layer drag reduction over an axisymmetric underwater vehicle 通风量和弗劳德数对轴对称水下航行器空气层减阻的影响
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-11-11 DOI: 10.1016/j.ijmultiphaseflow.2025.105527
Xiaohan Zheng , Zhijun Zhang , Guohua Tu , Chengwang Xiong , Muyang Wang , Shiping Wang
The aim of this study is to investigate the impact of Froude number, ventilation rate, and ventilation slit size on air-layer drag reduction (ALDR) in an axisymmetric underwater vehicle. Experiments were carried out in a recirculating water tunnel with a scaled-down SUBOFF submarine model, and the results were compared with numerical simulations performed using OpenFOAM. Five distinct air-layer morphologies are identified, distinguished by their symmetry and wake stability, which result in structures ranging from stable, symmetric layers to unstable, foam-like formations. The formation of these morphologies is governed by the interplay between buoyancy and inertia, with an increasing Froude number enhancing inertial forces over buoyancy to promote a transition from asymmetric to symmetric layers, while the ventilation rate primarily dictates the air layer coverage and the onset of instability. Moreover, larger slit sizes promote the formation of longer and thicker air layers, yet increased instability is observed at excessive ventilation rates. Optimal drag reduction occurs when low Froude numbers are paired with moderate ventilation rates, thereby facilitating the formation of a continuous and stable air layer. With further increases in ventilation rates, although wall shear stress is reduced over most of the surface, boundary layer separation is significantly enhanced, with a low-pressure region forming at the tail that considerably increases pressure drag. Consequently, the net drag reduction is weaker than expected at very high ventilation rates.
本文研究了轴对称水下航行器中弗劳德数、通风量和通风缝尺寸对空气层减阻性能的影响。采用按比例缩小的SUBOFF潜艇模型在循环水隧道中进行了实验,并与OpenFOAM软件的数值模拟结果进行了比较。五种不同的空气层形态被识别出来,以它们的对称性和尾流稳定性来区分,这导致结构范围从稳定的对称层到不稳定的泡沫状结构。这些形态的形成是由浮力和惯性之间的相互作用决定的,随着弗劳德数的增加,浮力上的惯性力增强,促进了从不对称层到对称层的过渡,而通风量主要决定了空气层的覆盖范围和不稳定的开始。此外,较大的狭缝尺寸促进了更长的和更厚的空气层的形成,但在过大的通风率下观察到不稳定性增加。当低弗劳德数与适度的通风量配对时,会出现最佳的减阻效果,从而促进形成连续稳定的空气层。随着通风量的进一步增加,虽然壁面剪切应力在大部分表面上减小,但边界层分离显著增强,在尾部形成一个低压区,大大增加了压力阻力。因此,在非常高的通风率下,净阻力减少比预期的要弱。
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引用次数: 0
High throughput measurement of bubble coalescence times using digital millifluidics 使用数字微流体的高通量气泡聚结时间测量
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-11-15 DOI: 10.1016/j.ijmultiphaseflow.2025.105544
Ange Combrouze , Alexandra Klimenko , Nicolas Passade-Boupat , Pascal Panizza , François Lequeux , Laurence Talini , Emilie Verneuil
Foams may form in oil mixtures, such as lubricants, as a result of air entrainment. The long lifetimes of those foams significantly impair the thermal properties of lubricants and increase power losses by engines (Zhan et al., 2022). In order to improve the efficiency of lubricants, we offer here to gain insights in the stability of bubbles in binary mixtures of miscible oils as a function of bubble size and liquid composition. To do so, using a micro-millifluidic set-up, we control the formation of bubbles in oil mixtures and study variations in their coalescence time. The set-up allows to easily vary the curvature of the bubbles over one decade, perform statistics over a large number of coalescence events and measure coalescence times that span more than three orders of magnitude.
泡沫可能在油混合物中形成,如润滑油,由于空气夹带。这些泡沫的长寿命显著损害了润滑油的热性能,增加了发动机的功率损失(Zhan et al., 2022)。为了提高润滑油的效率,我们在这里提供了关于气泡大小和液体成分在混相油二元混合物中的稳定性的信息。为此,我们使用微微流体装置控制油混合物中气泡的形成,并研究其聚结时间的变化。该装置可以很容易地在十年内改变气泡的曲率,对大量的聚结事件进行统计,并测量超过三个数量级的聚结时间。
{"title":"High throughput measurement of bubble coalescence times using digital millifluidics","authors":"Ange Combrouze ,&nbsp;Alexandra Klimenko ,&nbsp;Nicolas Passade-Boupat ,&nbsp;Pascal Panizza ,&nbsp;François Lequeux ,&nbsp;Laurence Talini ,&nbsp;Emilie Verneuil","doi":"10.1016/j.ijmultiphaseflow.2025.105544","DOIUrl":"10.1016/j.ijmultiphaseflow.2025.105544","url":null,"abstract":"<div><div>Foams may form in oil mixtures, such as lubricants, as a result of air entrainment. The long lifetimes of those foams significantly impair the thermal properties of lubricants and increase power losses by engines (<span><span>Zhan et al., 2022</span></span>). In order to improve the efficiency of lubricants, we offer here to gain insights in the stability of bubbles in binary mixtures of miscible oils as a function of bubble size and liquid composition. To do so, using a micro-millifluidic set-up, we control the formation of bubbles in oil mixtures and study variations in their coalescence time. The set-up allows to easily vary the curvature of the bubbles over one decade, perform statistics over a large number of coalescence events and measure coalescence times that span more than three orders of magnitude.</div></div>","PeriodicalId":339,"journal":{"name":"International Journal of Multiphase Flow","volume":"195 ","pages":"Article 105544"},"PeriodicalIF":3.8,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145569377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Experimental evidence of a double recirculation within the skirt of a skirt bubble 裙边气泡裙边内双重再循环的实验证据
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-11-08 DOI: 10.1016/j.ijmultiphaseflow.2025.105530
Mithun Ravisankar , Dongyue Wang , Omer Atasi , Dominique Legendre , Roberto Zenit
We investigate the dynamics of freely rising bubbles for a range of Eötvös and Morton numbers where a distinct skirt appears. This regime has not been studied in detail through experiments since the late 1970s. Using modern flow visualization techniques, such as high-speed photography and particle image velocimetry (PIV), we gain new insights by analyzing bubble shapes, terminal velocities, and drag forces, and compare our results with recent Direct Numerical Simulations (DNS) of skirt bubble behavior. Our findings confirm the existence of a maximum skirt length, beyond which the skirt becomes unstable. Notably, for the first time in experiments, we provide evidence of a secondary toroidal vortex inside the bubble skirt, observed in a moving frame of reference in agreement with the predictions from DNS.
我们研究了在Eötvös和Morton数范围内自由上升气泡的动力学,其中明显的裙子出现。自20世纪70年代末以来,还没有通过实验对这一机制进行过详细的研究。利用现代流动可视化技术,如高速摄影和粒子图像测速(PIV),我们通过分析气泡形状、终端速度和阻力获得了新的见解,并将我们的结果与最近的直接数值模拟(DNS)进行了比较。我们的发现证实了裙摆存在一个最大长度,超过这个长度裙摆就会变得不稳定。值得注意的是,在实验中,我们首次提供了在运动参考系中观察到的气泡裙内存在二次环形涡的证据,这与DNS的预测一致。
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引用次数: 0
High-energy droplet collisions in multi-interacting hollow cone sprays 多相互作用空心锥喷雾中的高能液滴碰撞
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-11-07 DOI: 10.1016/j.ijmultiphaseflow.2025.105525
Narendra Dev , Varun Kulkarni , Sivakumar Deivandren
Droplets collide in several complex spray environments ranging from sea sprays to combustion chambers, altering their size and velocity characteristics. The present work offers a systematic investigation of such collisions within the interacting region formed by three hollow-cone sprays, termed the combined spray, at two elevated liquid sheet Weber numbers (Wel). The integrated analysis employs Phase Doppler Interferometry (PDI) and microscopic high-speed backlit imaging to characterize the collision dynamics. PDI indicates a notable reduction (11%–15%) in Sauter Mean Diameter (SMD) at the onset of the interaction region. Images reveal frequent, high-energy droplet collisions, capturing structures associated with binary collision outcomes, namely reflexive and stretching separations, splashing, fingering, and stretching with digitations, along with complex multi-droplet collisions. These collisions produce numerous smaller satellite droplets at the expense of larger parent droplets, leading to a decrease in local SMD. Increasing Wel elevates the frequency of these outcomes, particularly highlighting stretching separation as the dominant mechanism. Furthermore, joint probability density functions from PDI and image-based analysis confirm that most satellite droplets predominantly exhibit axial motion, in contrast to the initial trajectories of parent droplets. The satellite droplets continue to move downstream, colliding with others, resulting in a cascade effect, producing finer droplets. Rescaled droplet size distributions, normalized by mean droplet diameter, are broader in the combined spray due to enhanced size reduction from collisions. These distributions are well captured by the compound gamma distribution, reflecting ligament-mediated breakup dynamics.
从海上喷雾到燃烧室,液滴在几种复杂的喷雾环境中发生碰撞,改变了它们的大小和速度特性。目前的工作提供了一个系统的研究这种碰撞在相互作用区域内形成的三个空心锥喷雾,称为组合喷雾,在两个升高的液体片韦伯数(Wel)。综合分析采用相位多普勒干涉(PDI)和显微高速背光成像来表征碰撞动力学。PDI表明,在相互作用区开始时,Sauter平均直径(SMD)显著降低(11%-15%)。图像显示了频繁的高能液滴碰撞,捕获了与二元碰撞结果相关的结构,即反射性和拉伸分离、飞溅、指指和数字拉伸,以及复杂的多液滴碰撞。这些碰撞以牺牲较大的母液滴为代价产生了许多较小的卫星液滴,导致局部SMD的减少。增加well增加了这些结果的频率,特别强调拉伸分离是主要机制。此外,来自PDI的联合概率密度函数和基于图像的分析证实,与母体液滴的初始轨迹相反,大多数卫星液滴主要表现为轴向运动。卫星液滴继续向下游移动,与其他液滴碰撞,产生级联效应,产生更细的液滴。重新标度的液滴尺寸分布,通过平均液滴直径归一化,在组合喷雾中更宽,因为碰撞增强了尺寸减小。这些分布被复合伽马分布很好地捕获,反映了韧带介导的断裂动力学。
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引用次数: 0
Volume-of-Fluid simulations of multiphase flows with high surface tension and curvature using a tensile force method with pressure jump correction 采用带压力跳变校正的张力法模拟高表面张力和曲率多相流的流体体积
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-11-12 DOI: 10.1016/j.ijmultiphaseflow.2025.105535
Dennis P.L. Thuy-Petrov , Niels G. Deen , Joris J.C. Remmers , Giulia Finotello
Accurate modeling of surface tension forces in Computational Fluid Dynamics (CFD) simulations of multiphase flow is crucial for applications such as droplet formation and jet breakup, especially for interfaces with high surface tension and curvature. This work integrates a Tensile Force (TF) method in a geometric Volume-of-Fluid (VOF) solver. Unlike the Continuum Surface Force (CSF) model, the TF method calculates the surface tension force directly at the interface location, thus reducing the smearing of the force around the interface. Combination with a Pressure Jump Correction (PJC) further reduces the magnitude of the forces at the interface. This lowers the intensity of problematic spurious currents and allows the simulation of multiphase flows with high surface tension and curvature, which is typically challenging for the CSF method. We validate the TF method through several simulation test cases. Results show that the TF method reduces spurious velocities by an order of magnitude compared to the CSF model. The TF accurately models capillary instability in cases where the CSF model fails. Additionally, the TF model is combined with Adaptive Mesh Refinement (AMR) and Large Eddy Simulation (LES) to simulate droplet breakup. Typical features of the bag-breakup regime are successfully reproduced. Diameters and velocities of secondary droplets are predicted with reasonable agreement to experimental data. Simulation of primary breakup of a liquid aluminium jet in the gas atomization process demonstrates the TF model in industrially relevant conditions.
在计算流体动力学(CFD)多相流模拟中,精确的表面张力建模对于液滴形成和射流破碎等应用至关重要,特别是对于具有高表面张力和曲率的界面。本工作将拉伸力(TF)方法集成到几何流体体积(VOF)求解器中。与连续表面力(CSF)模型不同,TF方法直接计算界面位置的表面张力,从而减少了界面周围力的涂抹。结合压力跳跃校正(PJC),进一步降低了界面上的力的大小。这降低了有问题的虚假电流的强度,并允许模拟具有高表面张力和曲率的多相流,这对于CSF方法来说通常是具有挑战性的。我们通过几个模拟测试用例验证了TF方法。结果表明,与CSF模型相比,TF方法将伪速度降低了一个数量级。在脑脊液模型失效的情况下,TF准确地模拟了毛细血管的不稳定性。此外,结合自适应网格细化(AMR)和大涡模拟(LES)方法对液滴破碎过程进行模拟。袋子破裂的典型特征被成功地再现了。对二次液滴直径和速度的预测与实验数据吻合较好。对铝液射流在气体雾化过程中的一次破碎进行了仿真,验证了TF模型在工业相关条件下的可行性。
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引用次数: 0
Genocchi wavelet method for the Stefan problem with dual moving interfaces 双运动界面Stefan问题的genochi小波方法
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-10-31 DOI: 10.1016/j.ijmultiphaseflow.2025.105503
Kalpana Kumari, Jaya Joshi, Rajeev
This paper addresses a two phase non-linear solidification process characterized by convective initial boundary condition, internal heat generation and surface radiation effects which arise in numerous thermal processes. We considered that the thermal properties such as thermal conductivity, specific heat and speed of phase change materials (PCM) are linearly varying with temperature. This leads to a highly non-linear problem in both solid and mushy zones. We employed the Genocchi wavelet collocation method to solve this complex moving interface problem. We defined the Genocchi Wavelet in interval [a, b], where (ab) with suitable transformations to approximate the solution of phase change model with moving domains. The temperature fields and interface locations are approximated by truncated Genocchi wavelet series. The collocation at appropriate collocation points leads to a system of nonlinear algebraic equations, which are solved numerically to obtain results for temperature distribution and moving phase separation fronts during the solidification process. The exact solution of this problem does not exist. Thus, the results obtained from this method are compared with analytical solution and solution obtained from finite difference method in a special case. The efficiency and accuracy of the proposed method is discussed, which shows that it is suitable for solving the advanced phase change systems under realistic thermal conditions. We explored the influence of convective boundary parameter, radiation parameter, internal heat generation rate,temperature dependent specific heat, speed of PCM and thermal conductivity in accelerating or delaying the phase-change process. It is observed that the specific heat as a function of temperature flow enhances the completion speed of the solidification process. The dimensionless parameter related to the radiation also contributes to the acceleration of the operational time of the solidification process.
本文研究了一种具有对流初始边界条件、内部产生热量和表面辐射效应的两相非线性凝固过程。我们认为相变材料(PCM)的导热系数、比热和速度等热性能随温度呈线性变化。这将导致固体和糊状区域的高度非线性问题。我们采用了genochi小波配置方法来解决这一复杂的移动界面问题。我们定义了区间[a, b]中的genochi小波,其中(a≠b)用适当的变换来近似具有移动域的相变模型的解。用截断的genochi小波序列逼近了温度场和界面位置。在适当的配点处进行配点将形成一个非线性代数方程组,并对其进行数值求解,得到了凝固过程中温度分布和相分离前沿运动的结果。这个问题的确切解决办法并不存在。在一个特殊情况下,将该方法与解析解和有限差分法的解进行了比较。讨论了该方法的效率和精度,表明该方法适用于实际热条件下的先进相变系统的求解。探讨了对流边界参数、辐射参数、内部生热率、温度相关比热、相变速度和导热系数对相变过程加速或延迟的影响。比热作为温度流动的函数,提高了凝固过程的完成速度。与辐射有关的无量纲参数也有助于加快凝固过程的操作时间。
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引用次数: 0
Applied machine learning for adiabatic gas–liquid flow pattern prediction in small diameter circular tubes: Effect of dimensionality reduction 应用机器学习预测小直径圆管内绝热气液流型:降维效应
IF 3.8 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-15 Epub Date: 2025-10-30 DOI: 10.1016/j.ijmultiphaseflow.2025.105508
Elham Mollaie, Rasool Mohammadi, Mohammad Ali Akhavan-Behabadi, Behrang Sajadi
This study attempts to establish versatile models, based on 30 flow pattern maps available in literature, employing machine learning (ML) methods, within range of database parameters, for adiabatic gas–liquid flow inside small-diameter tubes, from 0.53 to 5.16 mm. Support vector machines (SVM), artificial neural networks (ANN), and histogram-based gradient boosting (HGB) techniques are applied on two separate sets of carefully engineered input features, one with physical dimensional and one with dimensionless parameters, to see if dimensional reduction helps with providing better-performing models. The model training and testing procedure is conducted under a cross-validated study aiming to maximize the performance metric during hyperparameter tuning. The average accuracy of SVM, ANN, and HGB on test sets of data is reported as 0.9284, 0.9240, and 0.9620, respectively based on dimensional features. As for the dimensionless set, in the same order, values of 0.9115, 0.9115, and 0.9583 are obtained, indicating superior performance of HGB, along with acceptable results of ANN and SVM models. ANN models demonstrated faster prediction times than SVM and HGB, which makes ANN models more favorable for high-quantity prediction procedures. HGB models showed more robustness, while the SVM models showed the most prediction uncertainty amongst the models. Also, to visualize the model’s performance, several flow pattern maps are reconstructed with all models. Overall, due to the variety of flow behavior types in the database, employing sets of dimensionless numbers does not secure developing more general models and the performance for different input feature sets is roughly on par.
本研究试图基于文献中可用的30种流动模式图,在数据库参数范围内,采用机器学习(ML)方法,建立多功能模型,用于0.53至5.16 mm的小直径管内的绝热气液流动。支持向量机(SVM)、人工神经网络(ANN)和基于直方图的梯度增强(HGB)技术分别应用于两组精心设计的输入特征,一组具有物理维度,另一组具有无维度参数,以查看降维是否有助于提供性能更好的模型。模型的训练和测试过程是在交叉验证的研究下进行的,目的是在超参数调优期间最大化性能指标。基于维度特征,SVM、ANN和HGB在测试数据集上的平均准确率分别为0.9284、0.9240和0.9620。对于无量纲集,在相同的顺序下,得到0.9115、0.9115、0.9583的值,说明HGB的性能优越,ANN和SVM模型的结果也可以接受。与支持向量机和HGB相比,人工神经网络模型的预测速度更快,这使得人工神经网络模型更适合于高质量的预测过程。HGB模型具有较强的鲁棒性,而SVM模型的预测不确定性最大。此外,为了使模型的性能更直观,还用所有模型重构了若干流型图。总体而言,由于数据库中流动行为类型的多样性,使用无量纲数字集并不能确保开发更通用的模型,并且不同输入特征集的性能大致相同。
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International Journal of Multiphase Flow
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