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Reconsideration on the maximum deformation of droplets impacting on solid surfaces 重新考虑液滴撞击固体表面的最大变形问题
Pub Date : 2025-01-16 DOI: 10.1002/dro2.163
Zhifeng Hu, Haojiang Ran, He Shan, Fuqiang Chu, Zuankai Wang, Ruzhu Wang

Droplet impact on solid surfaces is widely involved in diverse applications such as spray cooling, self-cleaning, and hydrovoltaic technology. Maximum solid‒liquid contact area yielded by droplet spreading is one key parameter determining energy conversion between droplets and surfaces. However, for the maximum deformation of impact droplets, the contact length and droplet width are usually mixed indiscriminately, resulting in unignored prediction errors in the maximum contact area. Herein, we investigate and highlight the difference between the maximum contact length and maximum droplet width. The maximum droplet width is never smaller than the maximum contact length, and the difference appears once the contact angle exceeds 90° (which becomes more significant on superhydrophobic surfaces), regardless of impact velocities, liquid viscosities, and system scales (from macroscale to nanoscale). A theoretical model analyzing the structure of the spreading rim is proposed to demonstrate and quantitatively predict the above difference, agreeing well with experimental results. Based on molecular dynamics simulations, the theoretical analysis is further extended to the scenario of nanodroplets impacting on solid surfaces. Reconsideration on the maximum deformation of impact droplets underscores the often-overlooked yet significant difference between maximum values of contact length and droplet width, which is crucial for applications involving droplet‒interface interactions.

液滴对固体表面的冲击广泛涉及各种应用,如喷雾冷却、自清洁和水力发电技术。液滴扩散产生的最大固液接触面积是决定液滴与表面能量转换的关键参数之一。然而,对于冲击液滴的最大变形,通常将接触长度和液滴宽度混在一起,导致最大接触面积的预测误差不可忽视。在此,我们研究并强调了最大接触长度和最大液滴宽度之间的差异。无论撞击速度、液体粘度和系统尺度(从宏观尺度到纳米尺度)如何,最大液滴宽度永远不会小于最大接触长度,一旦接触角超过90°(在超疏水表面上变得更加明显),差异就会出现。提出了一种理论模型,分析了扩轮缘的结构,对上述差异进行了论证和定量预测,与实验结果吻合较好。在分子动力学模拟的基础上,进一步将理论分析扩展到纳米液滴撞击固体表面的场景。重新考虑撞击液滴的最大变形强调了接触长度最大值和液滴宽度之间经常被忽视但重要的差异,这对于涉及液滴界面相互作用的应用至关重要。
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引用次数: 0
Advances in precise cell manipulation 精确细胞操作的进展
Pub Date : 2025-01-09 DOI: 10.1002/dro2.149
Yuan Ma, Zhenwei Liang, Yiqing Chen, Jiadao Wang

Research on cells and organ-like tissues is critical in the fields of molecular biology, genetic analysis, proteomics analysis, tissue engineering, and others. In recent years, advancements in precise cell manipulation technologies have made precise positioning and batch processing of cells feasible. Various methods are used for cell recognition, positioning, manipulation, and assembly, often introducing external fields such as electric, magnetic, acoustic, or optical fields into the liquid environment to interact with cells, applying forces to induce cell movement and rearrangement. Alternatively, three-dimensional (3D) bioprinting technology is employed for precise cell positioning and assembly. This review will comprehensively assess the status, principles, advantages, disadvantages, and prospects of these precise cell manipulation technologies, covering single-cell manipulation, multicellular assembly, and biological 3D printing techniques.

细胞和器官样组织的研究在分子生物学、遗传分析、蛋白质组学分析、组织工程等领域至关重要。近年来,精密细胞操作技术的进步使细胞的精确定位和批量处理成为可能。用于细胞识别、定位、操作和组装的方法多种多样,通常在液体环境中引入外部场,如电场、磁场、声学或光学场,与细胞相互作用,施加力诱导细胞运动和重排。另外,三维(3D)生物打印技术用于精确的细胞定位和组装。本文将全面评估这些精确细胞操作技术的现状、原理、优缺点和前景,包括单细胞操作、多细胞组装和生物3D打印技术。
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引用次数: 0
Programmable optical window bonding enabled 3D printing of high-resolution transparent microfluidic devices for biomedical applications 可编程光学窗口键合实现了用于生物医学应用的高分辨率透明微流体装置的3D打印
Pub Date : 2025-01-06 DOI: 10.1002/dro2.153
Mengguang Ye, Yuxiang Xue, Hongyu Zhao, Patricia Hazelton, Yuxuan Ji, Glen McHale, Xianfeng Chen

Traditional technologies for manufacturing microfluidic devices often involve the use of molds for polydimethylsiloxane (PDMS) casting generated from photolithography techniques, which are time-consuming, costly, and difficult to use in generating multilayered structure. As an alternative, 3D printing allows rapid and cost-effective prototyping and customization of complex microfluidic structures. However, 3D-printed devices are typically opaque and are challenging to create small channels. Herein, we introduce a novel “programmable optical window bonding” 3D printing method that incorporates the bonding of an optical window during the printing process, facilitating the fabrication of transparent microfluidic devices with high printing fidelity. Our approach allows direct and rapid manufacturing of complex microfluidic structure without the use of molds for PDMS casting. We successfully demonstrated the applications of this method by fabricating a variety of microfluidic devices, including perfusable chips for cell culture, droplet generators for spheroid formation, and high-resolution droplet microfluidic devices involving different channel width and height for rapid antibiotic susceptibility testing. Overall, our 3D printing method demonstrates a rapid and cost-effective approach for manufacturing microfluidic devices, particularly in the biomedical field, where rapid prototyping and high-quality optical analysis are crucial.

传统的微流控器件制造技术通常涉及使用由光刻技术产生的聚二甲基硅氧烷(PDMS)铸件的模具,这种技术耗时,成本高,并且难以用于生成多层结构。作为替代方案,3D打印允许快速和具有成本效益的原型和定制复杂的微流体结构。然而,3d打印设备通常是不透明的,并且很难创建小通道。在此,我们介绍了一种新的“可编程光学窗口键合”3D打印方法,该方法在打印过程中结合光学窗口的键合,有助于制作具有高打印保真度的透明微流体器件。我们的方法允许直接和快速制造复杂的微流体结构,而无需使用模具进行PDMS铸造。我们成功地展示了这种方法的应用,通过制造各种微流控装置,包括用于细胞培养的可渗透芯片,用于球体形成的液滴发生器,以及用于快速抗生素敏感性测试的高分辨率液滴微流控装置,包括不同通道宽度和高度。总体而言,我们的3D打印方法展示了一种快速且具有成本效益的制造微流体装置的方法,特别是在生物医学领域,快速原型和高质量光学分析至关重要。
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引用次数: 0
Synergistic effect in liquid metal heartbeat with high-efficiency energy conversion 具有高效能量转换的液态金属心跳协同效应
Pub Date : 2025-01-06 DOI: 10.1002/dro2.161
Shutong Wang, Sicheng Wang, Binbin Zhou, Dongmei Ren, Zhenwei Yu

The phenomenon of liquid metal “heartbeat” oscillation presents intriguing applications in microfluidic devices, drug delivery, and miniature robotics. However, achieving high vibrational kinetic energy outputs in these systems remains challenging. In this study, we developed a graphite ring electrode with V-shaped inner wall that enables wide-ranging control over the oscillation performance based on droplet size and the height of the V-shape. The mechanism driving the heartbeat is defined as a dynamic process involving the transformation of the oxide layer. Through electrochemical analysis, we confirmed three distinct states of the heartbeat and introduced a novel model to elucidate the role of the V-shaped structure in initiating and halting the oscillations. A comprehensive series of experiments explored how various factors, such as droplet volume, voltage, tilt angle, and V-shape height, affect heartbeat performance, achieving a significant conversion from surface energy to vibrational kinetic energy as high as 4732 J m−2 s−1. The increase in energy output is attributed to the synergistic effect of the V-shape height and droplet size on the oscillations. These results not only advance our understanding of liquid metal droplet manipulation but also pave the way for designing high-speed microfluidic pumping systems.

液态金属“心跳”振荡现象在微流体装置、药物输送和微型机器人中有着有趣的应用。然而,在这些系统中实现高振动动能输出仍然具有挑战性。在这项研究中,我们开发了一种v形内壁的石墨环电极,可以根据液滴大小和v形高度对振荡性能进行广泛控制。驱动心跳的机制被定义为涉及氧化层转化的动态过程。通过电化学分析,我们确认了心跳的三种不同状态,并引入了一个新的模型来阐明v形结构在启动和停止振荡中的作用。一系列综合实验探索了液滴体积、电压、倾斜角度和v形高度等各种因素如何影响心跳性能,实现了从表面能到振动动能的显著转换,最高可达4732 J m−2 s−1。能量输出的增加归因于v形高度和液滴尺寸对振荡的协同作用。这些结果不仅促进了我们对液态金属液滴操纵的理解,而且为设计高速微流体泵送系统铺平了道路。
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引用次数: 0
Effect of preheated air temperature on a liquid ammonia flash spray in a swirl combustor 预热空气温度对旋流燃烧室液氨闪蒸喷雾的影响
Pub Date : 2025-01-06 DOI: 10.1002/dro2.159
Jiawen Liu, Meng Zhang, Zhenhua An, Jinhua Wang, Zuohua Huang

Ammonia is a suitable carbon-free alternative fuel for power equipment. Direct combustion of liquid ammonia has the potential to reduce system costs and heat loss of gas turbine (GT). However, its tendency to flash and the high latent heat of vaporization can lead to combustion deterioration. Previous research suggests that stabilizing a liquid ammonia flame requires swirling and preheated air. So far, the influence mechanism of preheated air on liquid ammonia swirl spray remains inadequately explored. To fill this research gap, this study conducted a large eddy simulation (LES) to investigate the effect of preheated air temperature (Ta${T}_{mathrm{a}}$) on a liquid ammonia flash spray in a swirl combustor. The influence of Ta${T}_{mathrm{a}}$ on the spray morphology and the axial velocity, diameter, and temperature distributions of the droplets were investigated to understand the spray characteristics. Besides, the effects of Ta${T}_{mathrm{a}}$ on the evaporation characteristics, the properties, and the possible ignition performance of the mixture were studied. The results show that with the increase of Ta${T}_{mathrm{a}}$, the heating capacity of air is enhanced, leading to a greater proportion of droplets reaching flash boiling conditions. This greatly optimizes the evaporation process, resulting in more complete evaporation and significantly smaller volume. The bulk air flow velocity is increased, causing the expansion of the inner recirculation zone (IRZ), and the gaseous temperature and mixture concentration distribution are optimized. In addition, the low gaseous ammonia concentration makes ignition difficulty at Ta${T}_{mathrm{a}}$ = 300 K. The high |

氨是一种适合于电力设备的无碳替代燃料。液氨直接燃烧具有降低燃气轮机系统成本和热损失的潜力。然而,它的闪蒸倾向和汽化潜热高会导致燃烧恶化。先前的研究表明,稳定液态氨火焰需要旋转和预热空气。到目前为止,对预热空气对液氨旋流喷雾的影响机理还没有充分的探讨。为了填补这一研究空白,本研究通过大涡模拟(LES)研究了预热空气温度(T a ${T}_{ mathm {a}}$)对旋流燃烧室液氨闪蒸喷雾的影响。研究了T a ${T}_{ maththrm {a}}$对喷雾形貌及液滴轴向速度、直径和温度分布的影响。此外,还研究了t_a ${T}_{ math_m {a}}$对混合物的蒸发特性、性能和可能的着火性能的影响。结果表明:随着t_a ${T}_{ mathm {a}}$的增大,空气的热容量增强,液滴达到闪沸状态的比例增大;这大大优化了蒸发过程,使蒸发更彻底,体积更小。提高了整体气流速度,扩大了内循环区,优化了气体温度和混合物浓度分布。此外,由于气氨浓度低,在T a ${T}_{ maththrm {a}}$ = 300 K时点火困难。较高的| τ |$ |tau |$值(τ $tau $为剪应力)和较大的内循环带面积导致了较大的R - e - gM$ RegionM$和一个更小的Re $在T a ${T}_{ mathm {a}}$ = 300 K与T ${T}_{ maththrm {a}}$ = 500 K的情况相比。
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引用次数: 0
Effect of gas flow rate on bubble formation on superhydrophobic surface 气体流速对超疏水表面气泡形成的影响
Pub Date : 2025-01-05 DOI: 10.1002/dro2.148
Daniel O'Coin, Hangjian Ling

We experimentally studied the effect of gas flow rate Q on the bubble formation on a superhydrophobic surface (SHS). We varied Q in the range of 0.001 < Q/Qcr < 0.35, where Qcr is the critical value for a transition from the quasi-static regime to the dynamic regime. The bubble geometrical parameters and forces acting on the bubble were calculated. We found that as Q increase, the bubble detached volume (Vd) increased. After proper normalization, the relationship between Vd and Q generally agreed with those observed for bubbles detaching from hydrophilic and hydrophobic surfaces. Furthermore, we found that Q had a minor impact on bubble shape and the duration of bubble necking due to the negligible momentum of injected gas compared to surface tension and hydrostatic pressure. Lastly, we explained the primary reason for the larger Vd at higher flow rates, which was increased bubble volume during the necking process. Our results enhanced the fundamental understanding of bubble formation on complex surfaces and could provide potential solutions for controlling bubble generation and extending the application of SHS for drag reduction, anti-fouling, and heat and mass transfer enhancement.

实验研究了气体流速Q对超疏水表面气泡形成的影响。我们在0.001 <的范围内改变Q;Q /查收我们& lt;0.35,其中Qcr是从准静态状态过渡到动态状态的临界值。计算了气泡的几何参数和作用在气泡上的力。我们发现,随着Q的增大,气泡分离体积(Vd)增大。经过适当的归一化后,Vd和Q之间的关系与从亲水和疏水表面分离的气泡之间的关系基本一致。此外,我们发现Q对气泡形状和气泡颈缩持续时间的影响很小,因为与表面张力和静水压力相比,注入气体的动量可以忽略不计。最后,我们解释了在高流速下Vd较大的主要原因,即缩颈过程中气泡体积的增加。我们的研究结果增强了对复杂表面上气泡形成的基本认识,并可能为控制气泡的产生和扩展SHS在减阻、防污和强化传热传质方面的应用提供潜在的解决方案。
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引用次数: 0
Droplet menisci recognition by deep learning for digital microfluidics applications 液滴半月板识别的深度学习在数字微流体中的应用
Pub Date : 2025-01-05 DOI: 10.1002/dro2.151
Negar Danesh, Matin Torabinia, Hyejin Moon

This paper demonstrates the use of deep learning, specifically the U-Net model, to recognize the menisci of droplets in an electrowetting-on-dielectric (EWOD) digital microfluidic (DMF) device. Accurate recognition of droplet menisci would enable precise control over the movement of droplets to improve the performance and reliability of an EWOD DMF system. Furthermore, important information such as fluid properties, droplet characteristics, spatial position, dynamic behavior, and reaction kinetics of droplets during DMF manipulation can be understood by recognizing the menisci. Through a convolutional neural network utilizing the U-Net architecture, precise identification of droplet menisci is achieved. A diverse dataset is prepared and used to train and test the model. As a showcase, details of training and the optimization of hyperparameters are described. Experimental validation demonstrated that the trained model achieves a 98% accuracy rate and a 0.92 Dice score, which confirms the model's high performance. After the successful recognition of droplet menisci, post-processing techniques are applied to extract essential information such as the droplet and bubble size and volume. This study shows that the trained U-Net model is capable of discerning droplet menisci even in the presence of background image interference and low-quality images. The model can detect not only simple droplets, but also compound droplets of two immiscible liquids, droplets containing gas bubbles, and multiple droplets of varying sizes. Finally, the model is shown to detect satellite droplets as small as 2% of the size of the primary droplet, which are byproducts of droplet splitting.

本文演示了使用深度学习,特别是U-Net模型来识别电介质上电润湿(EWOD)数字微流控(DMF)装置中的液滴半月板。准确识别液滴半月板可以精确控制液滴的运动,从而提高EWOD DMF系统的性能和可靠性。此外,通过识别半月板,可以了解DMF操作过程中流体性质、液滴特性、空间位置、动力学行为和反应动力学等重要信息。利用U-Net结构的卷积神经网络,实现了液滴半月板的精确识别。准备了一个多样化的数据集,并使用它来训练和测试模型。作为演示,描述了训练和超参数优化的细节。实验验证表明,训练后的模型准确率达到98%,Dice得分为0.92,证实了模型的高性能。在成功识别液滴半月板后,应用后处理技术提取液滴和气泡的大小、体积等重要信息。本研究表明,所训练的U-Net模型能够在背景图像干扰和低质量图像存在的情况下识别液滴半月板。该模型不仅可以检测简单液滴,还可以检测两种不混溶液体的复合液滴、含有气泡的液滴以及不同大小的多个液滴。最后,该模型被证明可以探测到小至原液滴大小的2%的卫星液滴,这是液滴分裂的副产品。
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引用次数: 0
Water-proofing mechanism of coupling structures observed in ladybird elytra and its bionic application 瓢虫鞘翅偶联结构的防水机理及其仿生应用
Pub Date : 2025-01-05 DOI: 10.1002/dro2.162
Jie Zhang, Hao Yang, Jiannan Cai, Junhao Shi, Yuquan Zheng, Hamed Rajabi, Jieliang Zhao, Jianing Wu

Ladybirds (Coccinella septempunctata) are adept at living in humid conditions as their elytra can effectively shield their bodies from raindrops. However, due to technical difficulties in examining the delicate structure, the understanding of the water-proofing mechanism of the coupling structure and its impact on the dome-like elytra response to the raindrops remain elusive. In this combined experimental and theoretical study, we showed that the coupling structure on the ladybird elytra can ward off the raindrops traveling at a velocity of 6 m/s, which generates an impact force equivalent to 600 times the body weight. The waterproofing mechanism relies on the deformability of the elytra and their microstructures, which collectively impedes the formation of microchannels for liquids. The enhanced water-proofing capabilities enabled by the coupling structures are validated through experimental testing on comparative 3D-printed models, showing the effectiveness of these structures in improving water resistance. Subsequently, we showcased a water-proofing device, which substantially improved the efficiency of solar panels in converting solar energy. This multidisciplinary study not only advances our understanding of the biomechanics of coupling systems in insects but also inspires the design of water-proofing deployable structures.

七星瓢虫(Coccinella七星瓢虫)擅长在潮湿的环境中生活,因为它们的鞘翅可以有效地保护身体免受雨滴的伤害。然而,由于检测这种精致结构的技术困难,对耦合结构的防水机制及其对圆顶状鞘翅对雨滴响应的影响的理解仍然是难以捉摸的。在实验与理论相结合的研究中,我们发现瓢虫鞘翅上的耦合结构可以抵挡速度为6 m/s的雨滴,而雨滴的冲击力相当于其体重的600倍。防水机制依赖于鞘翅的可变形性及其微观结构,它们共同阻碍了液体微通道的形成。通过对比3d打印模型的实验测试,验证了耦合结构增强的防水能力,显示了这些结构在提高防水性能方面的有效性。随后,我们展示了一个防水装置,大大提高了太阳能电池板转换太阳能的效率。这项多学科研究不仅促进了我们对昆虫耦合系统生物力学的理解,而且还启发了防水可展开结构的设计。
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引用次数: 0
Design and preparation of a simplified microdroplet generation device for nanoliter volume collection and measurement with liquid microjunction–surface sampling probe–mass spectrometry 用于液体微结-表面采样探针-质谱法纳升体积采集与测量的简化微液滴生成装置的设计与制备
Pub Date : 2025-01-05 DOI: 10.1002/dro2.158
Daniel O. Reddy, Lishen Zhang, Thomas R. Covey, Richard D. Oleschuk

Given recent interest in laboratory automation and miniaturization, the microdroplet research space has expanded across research disciplines and sectors. In turn, the microdroplet field is continually evolving and seeking new methods to generate microdroplets, especially in ways that can be integrated into diverse (microfluidic) workflows. Herein, we present a convenient, low-cost, and re-usable microdroplet generation device, termed as the “NanoWand,” which enables microdroplet formation in the nanoliter volume range through modulated surface energy and roughness, that is, an open surface energy trap (oSET), using commercially available and readily assembled coating and substrate materials. A wand-like shape is excised from a microscope glass cover slip via laser-micromachining and rendered hydrophobic; a circle is then cut-out from the hydrophobically modified wand's tip using laser-micromachining to create the oSET. By adjusting the size of the oSET with laser-micromachining, the volume of the microdroplet can be similarly controlled. Using liquid microjunction–surface sampling probe–mass spectrometry (LMJ-SSP-MS), specific NanoWand droplet capture volumes were estimated to be 117 ± 23.6 nL, 198 ± 30.3 nL, and 277 ± 37.1 nL, corresponding to oSET diameters of 0.75, 1.00, and 1.25 mm, respectively. This simple approach provides a user-friendly way to form and transfer microdroplets that could be integrated into different liquid handling applications, especially when combined with the LMJ-SSP and ambient ionization MS as a powerful and rapid analytical tool.

鉴于最近对实验室自动化和小型化的兴趣,微滴研究空间已经扩展到研究学科和部门。反过来,微液滴领域也在不断发展,并寻求新的方法来产生微液滴,特别是可以集成到各种(微流体)工作流程中的方法。在此,我们提出了一种方便、低成本、可重复使用的微液滴生成装置,称为“NanoWand”,它可以通过调制表面能和粗糙度,即开放表面能阱(oSET),在纳升体积范围内形成微液滴,使用商业上可获得且易于组装的涂层和衬底材料。通过激光微加工从显微镜玻璃盖片上切除棒状形状,并使其疏水;然后使用激光微加工从疏水改性棒的尖端切割出一个圆圈,以创建oSET。通过激光微加工调整oSET的尺寸,微液滴的体积也可以得到类似的控制。利用液体微结-表面采样探针-质谱(LMJ-SSP-MS),估计纳米微滴和液滴的特异性捕获体积分别为117±23.6 nL、198±30.3 nL和277±37.1 nL,对应的oSET直径分别为0.75、1.00和1.25 mm。这种简单的方法提供了一种用户友好的方式来形成和转移微滴,可以集成到不同的液体处理应用中,特别是当与LMJ-SSP和环境电离质谱相结合时,作为一种强大而快速的分析工具。
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引用次数: 0
Numerical simulations and experimental verifications at micro-, meso-, and macroscales of droplet evaporation: A comprehensive review with special focus on saline droplets 液滴蒸发的微观、中观和宏观尺度的数值模拟和实验验证:以盐水液滴为重点的综合综述
Pub Date : 2025-01-05 DOI: 10.1002/dro2.147
Youchen Ning, Yunhua Gan, Chuanshuai Dong, Ronghui Qi

Evaporation of saline droplets significantly impacts industrial processes such as water and gas treatment. Simulations, with advantages in describing temperature, concentration, and velocity distribution inside the droplet, receive increasing attentions. This paper summarized research on numerical simulations of droplet evaporation at micro-, meso-, and macroscales, emphasizing saline or multicomponent droplets. Accurate description of physics at phase interfaces and within proves to be critical for modeling. While recent studies have investigated on interface motion and temperature distribution, the coupling effect of internal concentration and flow distribution is still rarely considered. Among numerical methods, the lattice Boltzmann method is suitable for droplet scale due to its ability to handle non-continuum behavior. Bridging multiscale models remains a challenge, particularly in describing Marangoni and capillary flows. Experimental approaches to the effects of external physical fields (electric, magnetic, convection, and laser) and substrate properties on evaporation were also reviewed. Visualizing evaporation under various conditions can validate macroscopic models, while experiments with different substrates can validate molecular scale simulations, as substrate properties primarily affect evaporation by affecting capillary flow at the droplet bottom. This paper comprehensively reviewed numerical research on droplet evaporation, and analyzed the advantages, limitations, and development directions of various numerical methods.

盐滴的蒸发对水和气体处理等工业过程产生重大影响。模拟以其在描述液滴内部温度、浓度和速度分布方面的优势而受到越来越多的关注。本文综述了液滴蒸发在微观、中观和宏观尺度上的数值模拟研究,重点介绍了盐水液滴或多组分液滴的蒸发过程。准确描述相界面和相界面内部的物理特性对建模至关重要。虽然目前的研究对界面运动和温度分布进行了研究,但很少考虑内部浓度和流量分布的耦合效应。在数值方法中,晶格玻尔兹曼方法因其处理非连续介质行为的能力而适用于液滴尺度。桥接多尺度模型仍然是一个挑战,特别是在描述Marangoni和毛细管流动方面。综述了外部物理场(电场、磁场、对流和激光)和衬底性质对蒸发影响的实验方法。不同条件下的蒸发可视化可以验证宏观模型,而不同底物的实验可以验证分子尺度的模拟,因为底物性质主要通过影响液滴底部的毛细管流动来影响蒸发。本文对液滴蒸发的数值研究进行了综述,分析了各种数值方法的优点、局限性和发展方向。
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引用次数: 0
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Droplet
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