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Thermal Performance Comparative Study of Orthogonally and Axially Grooved Heat Pipes Under Different Gravity and Heat Sink Temperature Operating Conditions 不同重力和散热器温度工况下正交与轴向开槽热管热性能对比研究
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-10-13 DOI: 10.1007/s12217-025-10205-4
Samah Maalej, Imène Saâd, Jed Mansouri, Mohamed Chaker Zaghdoudi

This study deals with the thermal performance of a flat copper heat pipe with a capillary structure composed of orthogonal grooves filled with water, so-called flat orthogonally grooved heat pipe. The orthogonal grooves are created using a CNC machine and filled using an automated filling apparatus. Under optimal operating conditions (thermosyphon position and cold source temperature of 40 °C), experimental results show that flat orthogonally grooved heat pipes effective thermal conductivity is approximately three times that of copper. Similarly, it is found that the flat orthogonally grooved heat pipe has lower thermal resistance than the flat axially grooved heat pipe studied in a previous work. Furthermore, a heat transfer analysis demonstrates that flat axially grooved heat pipe outperforms the flat orthogonally grooved heat pipe by up to 50% in evaporation, whereas the flat orthogonally grooved heat pipe performs up to 35% better than the flat axially grooved heat pipe in condensation. Based on a dimensionless analysis, heat transfer correlations for evaporation and condensation are proposed. The gap between evaporation and condensation heat transfer coefficients calculated by the correlations and those determined experimentally varies between ± 10% and ± 20%. Finally, a model based on energy conservation equations is proposed to predict the temperature distribution along the flat orthogonally grooved heat pipe. The distributions in wall temperature obtained from the model are consistent with experimental measurements.

本文研究了一种由充满水的正交槽组成的毛细管结构的扁平铜热管的热性能,即所谓的扁平正交槽热管。所述正交槽使用数控机床创建,并使用自动填充设备填充。在最佳工作条件下(热虹吸位置和冷源温度为40℃),实验结果表明,平面正交槽热管的有效导热系数约为铜管的3倍。同样地,我们发现平面正交槽热管的热阻比先前研究的平面轴向槽热管的热阻低。此外,传热分析表明,平面轴向沟槽热管的蒸发性能比平面正交沟槽热管高出50%,而平面正交沟槽热管的冷凝性能比平面轴向沟槽热管高出35%。在无量纲分析的基础上,提出了蒸发和冷凝的传热关系式。由相关性计算的蒸发和冷凝换热系数与实验测定值之间的差距在±10%到±20%之间。最后,提出了基于能量守恒方程的平面正交槽热管温度分布预测模型。模型计算得到的壁面温度分布与实验测量值吻合较好。
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引用次数: 0
Liquid-Vapor Interface Configuration Calculation for On-Orbit Propellant Management in Microgravity 微重力在轨推进剂管理的液-气界面构型计算
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-10-13 DOI: 10.1007/s12217-025-10210-7
Zhaozhen Guo, Yulong Yan, Mingle Deng

Accurate prediction of liquid-vapor interface configurations is mission-critical for autonomous on-orbit propellant management, particularly during microgravity refueling operations where precise fluid control dictates mission success. In such environments, the systematic and rigorous evaluation of hydrostatic interfaces plays a vital role in ensuring optimal performance during liquid management and spacecraft attitude control. These fluid interfaces are primarily governed by residual gravitational effects, contact angles, and the geometric configurations of the containers. This paper investigates the characteristics of liquid-vapor interfaces within axisymmetric containers through a combination of theoretical analysis and numerical simulations. The dimensionless governing equations for hydrostatic surfaces in spherical coordinates are derived theoretically, based on the variational principle and the virtual work principle. A novel algorithm has been developed to compute liquid-vapor interface configurations in axisymmetric containers including ellipsoidal and Cassini tanks. The algorithm is validated by theoretical analysis and comparisons of numerical simulations and experimental data. Meanwhile, the impacts of various parameters on the liquid-vapor interface configurations are further analyzed in detail. Notably, the proposed method demonstrates significantly enhanced computational efficiency compared to conventional approaches. Furthermore, the algorithm can adaptively adjust its input parameters to predict hydrostatic interfaces under varying conditions. This methodology establishes a reliable foundation for real-time analysis of sloshing dynamics and liquid reorientation, thereby enabling autonomous decision-making during critical on-orbit refueling servicing phases.

对于自主在轨推进剂管理,特别是在微重力加油操作中,精确的流体控制决定了任务的成功与否。在这种环境下,系统、严格地评估流体静力界面对于保证液体管理和航天器姿态控制的最佳性能起着至关重要的作用。这些流体界面主要受剩余重力效应、接触角和容器的几何构型的支配。本文采用理论分析和数值模拟相结合的方法研究了轴对称容器内液-气界面的特性。基于变分原理和虚功原理,从理论上推导了球面静压曲面的无量纲控制方程。提出了一种计算椭球罐和卡西尼罐等轴对称容器液-气界面构型的新算法。通过理论分析和数值模拟与实验数据的对比,验证了该算法的有效性。同时,进一步详细分析了各参数对液-气界面构型的影响。值得注意的是,与传统方法相比,该方法显着提高了计算效率。此外,该算法还可以自适应调整输入参数来预测不同条件下的流体静力界面。该方法为晃动动力学和液体重定向的实时分析奠定了可靠的基础,从而实现了关键在轨加油服务阶段的自主决策。
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引用次数: 0
Electrothermoconvective Oscillatory Flows of a Low Conducting Liquid in Alternating Electric Field 交变电场中低导电性液体的电热对流振荡流动
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-10-13 DOI: 10.1007/s12217-025-10212-5
Oleg O. Nekrasov, Boris L. Smorodin

Electrothermal convection in a horizontal capacitor of a low conducting liquid heated from above is theoretically studied using multi-mode Galerkin expansions. Under the alternating electric field the model exhibits oscillatory convection patterns. The synchronous oscillations appear at the electroconvection threshold. They transform into quasiperiodic oscillations at higher electric driving force. Further growth of the electric Rayleigh number leads to chaotic oscillations. The region of coexistence of chaotic and synchronous oscillations is found.

用多模伽辽金展开理论研究了从上方加热的低导电性液体的水平电容器中的电热对流。在交变电场作用下,模型呈现振荡对流模式。同步振荡出现在电对流阈值处。它们在较高的电驱动力下转变为准周期振荡。电瑞利数的进一步增长导致混沌振荡。找到了混沌与同步振荡共存的区域。
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引用次数: 0
Heat Transfer Enhancement in Air by Means of Acoustics in Microgravity Conditions 微重力条件下声学增强空气传热的研究
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-10-07 DOI: 10.1007/s12217-025-10203-6
Alex Drago-González, Ioana El Kraye Ziade, Yago Ferreiro, Ricard González-Cinca

On Earth, electronic circuits dissipate heat through convective flows driven by gravity, transferring energy from devices to the environment. In microgravity, the absence of buoyancy disrupts this mechanism, causing heat accumulation and potential damage. Here, we present an experimental study on enhancing heat transfer in air in microgravity via acoustic actuation. The setup consists of a test cell and subsystems for heat generation, acoustic actuation, and data acquisition. Experiments were conducted in five drops at the ZARM Drop Tower in Bremen (Germany), each providing 9.3 seconds of microgravity. Thermocouple data and high-speed videos were recorded per drop. We analyzed temperature evolution at different positions from the heat source and heat distribution inside the test cell using the Background Oriented Schlieren technique. Qualitative and quantitative results show that acoustic actuation distributes heat over larger regions, strengthening with increased pressure amplitude. Temperature increased when actuated at resonance frequency, with heat transfer along the actuation direction increasing at a rate of 0.44 K/s. Results confirm that acoustic actuation improves heat transfer in microgravity, likely due to convection-like flows induced by acoustic streaming. This study provides a foundation for new cooling techniques applicable to satellites and spacecraft.

在地球上,电子电路通过重力驱动的对流散热,将能量从设备转移到环境中。在微重力环境下,浮力的缺乏破坏了这一机制,导致热量积聚和潜在的损害。在这里,我们提出了一个实验研究在微重力下通过声驱动加强空气中的传热。该装置由一个测试单元和用于热产生、声驱动和数据采集的子系统组成。实验在不莱梅(德国)的ZARM下降塔进行了五次下降,每次提供9.3秒的微重力。每滴记录热电偶数据和高速视频。利用背景取向纹影技术从热源角度分析了不同位置的温度演变和测试单元内部的热量分布。定性和定量结果表明,声驱动将热量分配到更大的区域,并随着压力振幅的增加而增强。以共振频率驱动时,温度升高,沿驱动方向的换热速率为0.44 K/s。结果证实,声驱动改善了微重力下的传热,可能是由于声流引起的对流流动。该研究为应用于卫星和航天器的新型冷却技术奠定了基础。
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引用次数: 0
Impact of + Gz Acceleration Stress on Accuracy of Colour-coded Number Recognition in Pilots + Gz加速度应力对飞行员彩色编码数字识别准确性的影响
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-10-04 DOI: 10.1007/s12217-025-10204-5
Karol Stasiak, Rafał Lewkowicz, Piotr Zieliński, Marek Prost

Colour vision, particularly in modern so-called glass cockpits, plays a crucial role in ensuring flight safety. In this study, we investigated how exposure to high G-forces affects visual perception and performance in colour-coded number recognition tasks among pilots. Ten men fast-jet pilots (ages 28–45 years) were tested in a human centrifuge while reading digitalised plates from an Ishihara test displayed on a screen. Generated accelerations ranged from + 3 to + 7 Gz, increasing in nine intervals of 0.5 G with a rapid onset rate of 1 G·s−1. During each 15-s acceleration plateau, three colour plates were displayed. Colour vision in the blue-yellow and red-green axes was tested in two separate sessions. The accuracy of predicting the correct reading of the colour plates based on the + Gz level was 81% for the blue-yellow axis and 76% for the red-green axis. The first impairment in colour perception occurred at + 5.5 Gz and affected both colour axes. The reading time is slightly affected by increasing G levels, with no apparent relationship to colour processing. Sequential changes in colour perception were observed. A high sensitivity threshold of the Ishihara test likely hindered the detection of subtle changes in colour vision among pilots under high G-forces. Despite its limitations, our study provides useful insights for future research on colour vision under high-G conditions.

彩色视觉,特别是在现代所谓的玻璃驾驶舱中,对确保飞行安全起着至关重要的作用。在这项研究中,我们调查了暴露在高重力下如何影响飞行员在彩色编码数字识别任务中的视觉感知和表现。10名男性快速喷气机飞行员(年龄在28-45岁之间)在人体离心机中接受了测试,同时阅读屏幕上显示的石原测试的数字化图版。产生的加速度范围为+ 3 ~ + 7 Gz,以9个0.5 G的间隔增加,快速起始率为1 G·s−1。在每个15-s的加速平台期间,显示三个彩色板。蓝黄轴和红绿轴的色觉在两个单独的环节中进行测试。基于+ Gz水平预测色板正确读数的准确度,蓝黄轴为81%,红绿轴为76%。色觉的第一次损伤发生在+ 5.5 Gz,并影响到两个色轴。阅读时间受到G水平增加的轻微影响,与颜色处理没有明显的关系。观察到颜色感知的顺序变化。石原试验的高灵敏度阈值可能阻碍了在高重力下飞行员色觉的细微变化的检测。尽管有其局限性,但我们的研究为未来高g条件下的色觉研究提供了有用的见解。
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引用次数: 0
Numerical Investigation of Motion Behavior Interference of Double Quasi-spherical Bubbles in Ultrasonic Standing Wave Fields 超声驻波场中双准球形气泡运动行为干扰的数值研究
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-10-01 DOI: 10.1007/s12217-025-10208-1
Hao Ni, Lu Wang, Mingjun Pang

The intervention of an ultrasonic field can effectively control the kinematic behavior of bubbles, leading to an increase in the efficiency of mass and heat transfer between liquid and gas phases. Since bubbles rarely appear individually in liquid, the mechanism of multiple bubble motion affected by the ultrasonic standing wave must be thoroughly understood. The authors numerically investigated the motion process of centroid of double quasi-spherical bubbles in ultrasonic standing wave fields and the corresponding alteration of the velocity field. The effects of sound pressure amplitude, acoustic frequency and bubble radius on double quasi-spherical bubble motion were fully analyzed. It was found that the above three variables have an important effect on the double bubble motion and the surrounding flow field. When the secondary Bjerknes force is the attractive force between two bubbles, three types of motion pattern are recognized: two bubbles approaching towards each other and then coalescing into one bubble, two bubbles travelling along the same direction and then coalescing into one bubble, and two bubbles remaining in levitation respectively without coalescence. When two bubbles move together in ultrasonic standing wave fields, the appearance of the secondary Bjerknes force breaks the equilibrium relationship between the time-averaged primary Bjerknes force and buoyancy force acting on each bubble, the centroid motion of bubbles changes from levitation to rising or from rising to sinking. When two bubbles coalesce into a single bubble, its motion follows the motion law of a single bubble.

超声场的介入可以有效地控制气泡的运动行为,从而提高液相和气相之间的传质和传热效率。由于气泡在液体中很少单独出现,因此必须彻底了解超声驻波对多气泡运动的影响机制。数值研究了双准球形气泡质心在超声驻波场中的运动过程及相应的速度场变化。充分分析了声压幅值、声频和气泡半径对双准球形气泡运动的影响。研究发现,上述三个变量对双泡运动和周围流场有重要影响。当次级比约克力为两个气泡之间的引力时,可以识别出三种运动模式:两个气泡相互靠近并合并为一个气泡,两个气泡沿同一方向运动并合并为一个气泡,两个气泡分别保持悬浮状态而不合并。当两个气泡在超声驻波场中共同运动时,次级比约克内力的出现打破了作用在每个气泡上的时间平均主比约克内力与浮力之间的平衡关系,气泡质心运动由悬浮变为上升或由上升变为下沉。当两个气泡合并成一个气泡时,其运动遵循单个气泡的运动规律。
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引用次数: 0
Experimental Study on Performance Enhancement in Gradient Wick Vapor Chambers 梯度灯芯蒸汽室性能增强的实验研究
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-09-30 DOI: 10.1007/s12217-025-10211-6
Da Jiang, Naipu Bian, Liang Wang, Dan Hua, Feng Yao

The high-efficiency vapor chamber (VC) is an effective solution for the thermal management of high-heat-flux electronic devices. To further improve the VC performance, this work proposes a gradient wick VC. A systematic experimental investigation of gradient wick VCs is conducted to evaluate their thermal performance enhancement compared to conventional wickless designs. Through comprehensive testing, the gradient wick VC demonstrates superior thermal characteristics, including 33% faster stabilization rates and significant reductions in steady-state temperature (32.5% on evaporator, 7% on condenser surfaces) under identical operating conditions. The research reveals three key operational dependencies: (1) thermal resistance increases with heat source eccentricity, though this effect diminishes at higher heat fluxes; (2) resistance grows with smaller heat source areas but stabilizes above 8 W/cm²; and (3) gravity-assisted orientation achieves up to 56% lower resistance than anti-gravity operation within 2 ~ 10 W/cm² range. The chamber reaches its heat transfer limit at 400 W (120 W/cm²), beyond which performance degrades substantially. These findings provide critical design guidelines for implementing gradient wick VCs in practical thermal management systems, particularly highlighting their improved temperature response, gravity adaptability, and area-dependent performance characteristics.

高效蒸汽室(VC)是解决高热流密度电子器件热管理的有效方法。为了进一步提高VC的性能,本文提出了一种梯度灯芯VC。系统的实验研究了梯度灯芯vc与常规无灯芯设计相比对热性能的提高。通过综合测试,梯度灯芯VC表现出优异的热特性,在相同的操作条件下,稳定率提高33%,稳态温度显著降低(蒸发器表面下降32.5%,冷凝器表面下降7%)。研究揭示了三个关键的操作依赖关系:(1)热阻随热源偏心增大而增大,但这种影响在高热通量时减小;(2)热源面积越小,电阻越大,但稳定在8w /cm²以上;(3)在2 ~ 10 W/cm²范围内,重力辅助定位比反重力定位阻力降低56%。该腔室在400w (120w /cm²)时达到其传热极限,超过该极限性能将大幅下降。这些发现为在实际热管理系统中实施梯度灯芯VCs提供了关键的设计指南,特别是突出了其改进的温度响应、重力适应性和面积相关性能特征。
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引用次数: 0
The Mass Transfer Within the Lacunar-canalicular System of Rats Under Simulated Microgravity 模拟微重力条件下大鼠腔管系统内的传质
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-09-15 DOI: 10.1007/s12217-025-10206-3
Baochuan Xiong, Bolun Liu, Xiankang Wang, Jinduo Ye, Lilan Gao, Xuejin Li, Chunqiu Zhang

Microgravity causes disuse osteoporosis in astronauts, lacking effective treatments. The mass transfer within the lacunar-canalicular system (LCS), essential for maintaining bone balance, makes studying molecular Weight solute transfer in LCS under microgravity vital for clinical solutions. In this study, a tail-suspended rat model was used to simulate microgravity on Earth. Rats were injected with fluorescent tracers of three molecular weights as the transport Mass, and the gray values of osteocytes at lacunae were detected in LCS by laser scanning confocal microscopy to represent the concentration of fluorescent tracers. Under microgravity, the gray values in lacunae farther from the Haversian canal were lower, with this trend observed in all molecular Weight fluorescent tracers. As gravity decreased, gray values in the lacunae also declined, with the most significant reductions seen in lacunae farther from the Haversian canal. For fluorescent tracers of 479 Da, 20 kDa and 150 kDa, gray values in deep lacunae decreased by 16.532%, 18.181% and 34.688%, respectively. The larger the molecular weight of the fluorescent tracers, the greater the decrease in gray values of osteocytes in all layers surrounding the Haversian canal, especially in deeper lacunae. Larger molecules face more difficulty penetrating the LCS and reaching deeper lacunae, with microgravity having a more significant effect on these molecules. Microgravity impairs mass transfer within the LCS, particularly reducing the delivery of essential components to deeper lacunae, which may lead to bone loss and induce osteoporosis. This study offers new insights for the clinical treatment of microgravity-induced osteoporosis.

微重力会导致宇航员的废用性骨质疏松症,缺乏有效的治疗方法。腔隙-管系统(LCS)内的质量传递对于维持骨平衡至关重要,因此研究微重力下LCS内的分子量溶质传递对于临床解决方案至关重要。本研究采用悬尾大鼠模型模拟地球微重力环境。给大鼠注射3个分子量的荧光示踪剂作为运输质量,用激光扫描共聚焦显微镜检测LCS陷窝处骨细胞的灰度值,代表荧光示踪剂的浓度。在微重力下,离哈弗氏管较远的陷窝的灰色值较低,所有分子量荧光示踪剂均有此趋势。随着重力的减小,陷窝的灰度值也下降,在远离哈弗森运河的陷窝中下降最明显。对479、20、150 kDa的荧光示踪剂,深陷窝灰度值分别降低了16.532%、18.181%和34.688%。荧光示踪剂分子量越大,哈弗氏管周围各层骨细胞的灰色值下降越大,尤其是在更深的腔隙中。较大的分子更难穿透LCS并到达更深的腔隙,微重力对这些分子的影响更大。微重力会损害LCS内的质量传递,特别是减少向更深的腔隙输送必需成分,这可能导致骨质流失并诱发骨质疏松症。本研究为微重力所致骨质疏松症的临床治疗提供了新的思路。
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引用次数: 0
Linear Stability of Marangoni Convection in a Thin Film under Vertical Vibrations 垂直振动下薄膜中马兰戈尼对流的线性稳定性
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-09-08 DOI: 10.1007/s12217-025-10201-8
Ivan Volodin, Alexey Alabuzhev

We investigate the linear stability of an incompressible, viscous liquid thin film placed on a solid substrate subjected to vertical harmonic vibrations in the presence of gravity and a negative temperature gradient. The substrate oscillates with a finite frequency, compared to the viscous time and large amplitude, compared to the film thickness. By separating the governing equations into oscillatory (fast) and time-averaged (slow) components, we obtain an analytical solution for the oscillatory fields and represent their velocity structure through isolines of stream function. Averaging over the fast time scale yields a set of amplitude equations that describe the slow evolution of the free deformable surface. The stability analysis reveals that gravity and surface tension stabilise the interface, while van der Waals attraction and the imposed thermal gradient destabilise. Vertical vibrations may stabilise the surface: at low frequencies even large amplitudes fail to suppress the long-wave instability for moderate and high Marangoni numbers, whereas at moderate to high frequencies sufficiently strong vibrations stabilise the film across the entire wavenumber spectrum. For a huge values of Marangoni number small vibrations are ineffective, but when Marangoni number is small complete stabilisation is achieved at moderate frequencies for all amplitudes considered. Results obtained in limiting cases are consistent with the previous studies for isothermal and non-vibrated cases.

我们研究了在重力和负温度梯度下放置在固体基片上的不可压缩粘性液体薄膜在垂直谐波振动下的线性稳定性。基片振荡的频率有限,相对于粘滞时间和振幅大,相对于薄膜厚度。通过将控制方程分解为振荡(快)分量和时均(慢)分量,我们得到了振荡场的解析解,并通过流函数等值线表示了它们的速度结构。在快速时间尺度上进行平均,可以得到一组描述自由变形表面缓慢演化的振幅方程。稳定性分析表明,重力和表面张力使界面稳定,而范德华引力和施加的热梯度使界面不稳定。垂直振动可以稳定表面:在低频时,即使大振幅也无法抑制中高马兰戈尼数的长波不稳定性,而在中高频率时,足够强的振动可以稳定整个波数谱的薄膜。当马兰戈尼数很大时,小振动是无效的,但当马兰戈尼数很小时,在考虑的所有振幅的中频下都实现了完全稳定。在极限情况下得到的结果与以前在等温和非振动情况下的研究结果一致。
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引用次数: 0
Mass Transfer Simulation In An Inclined Two-Layer Porous Channel By The Lattice Boltzmann Method 用晶格玻尔兹曼方法模拟倾斜两层多孔通道中的传质
IF 1.3 4区 工程技术 Q2 ENGINEERING, AEROSPACE Pub Date : 2025-08-27 DOI: 10.1007/s12217-025-10200-9
Ivan Volodin, Alexey Alabuzhev

The study numerically investigates the mass transfer in an inclined two-layer porous channel in the gravitational field. The lower region of the channel is occupied by a porous medium, while the upper region consists of a pure fluid. The initial concentration distribution is such that the impurity is localized in the central part of the porous domain. The upper and lower walls of the channel are solid and no-flux boundary condition for the concentration is applied. Periodic boundary conditions are applied for the velocity field on the side walls, and the flow is driven by the longitudinal component of the velocity induced by the gravitational field and channel inclination. For the concentration field two boundary condition types are examined on the side walls: periodic boundary conditions, and a non-periodic characterized by a vanishing concentration at the left wall and a constant flux condition at the right wall. The problem is solved for constant porosity and permeability coefficients, with the Schmidt number fixed at (varvec{Sc = 10^3 }). The study focuses on the diffusion of an impurity into a viscous pure fluid for various Darcy numbers (varvec{Da}). The simulations are conducted using the Lattice Boltzmann Method (LBM) on a D2Q9 lattice. A modified multiple relaxation-time (MRT) LBM scheme was introduced for the mass transfer simulation in porous media. The effectiveness and applicability of the proposed scheme for such classes of problems are substantiated through the presented results. For the periodic boundary conditions, it is shown that the integral concentration within the domain is conserved, and the concentration profiles both inside and outside the porous layer converge toward the average value. In contrast, under non-periodic boundary conditions, the impurity is gradually washed out of the domain. The obtained numerical results also demonstrate that the type of boundary condition imposed on the concentration field at the side walls has a negligible effect on the velocity field. At a higher Darcy number (varvec{Da = 10^{-2} }), the evolution of the impurity is more pronounced, and the system reaches a steady state more rapidly. For lower Darcy numbers ((varvec{ Da = 10^{-3} }) and (varvec{Da = 10^{-4}})), the impurity evolution rate outside the porous matrix is approximately the same, whereas within the porous matrix, the evolution is more intense for larger Darcy numbers.

本文用数值方法研究了倾斜双层多孔通道在引力场作用下的传质问题。通道的下部区域由多孔介质占据,而上部区域由纯流体组成。初始浓度分布使得杂质局限于多孔区域的中心部分。通道上下壁为固体,采用无通量边界条件进行浓缩。侧壁上的速度场采用周期边界条件,流动由引力场和通道倾角引起的速度纵向分量驱动。对于浓度场,在侧壁检查了两种边界条件类型:周期性边界条件和以左壁浓度消失和右壁恒定通量条件为特征的非周期性边界条件。在孔隙度和渗透率系数恒定的情况下,施密特数固定为(varvec{Sc = 10^3 })。研究的重点是杂质扩散到粘性纯流体的各种达西数(varvec{Da})。利用晶格玻尔兹曼方法(LBM)在D2Q9晶格上进行了模拟。提出了一种改进的多松弛时间(MRT) LBM格式,用于多孔介质的传质模拟。通过给出的结果证实了所提出的方案对这类问题的有效性和适用性。在周期边界条件下,区域内的积分浓度守恒,多孔层内外的浓度曲线向平均值收敛。相反,在非周期边界条件下,杂质逐渐被洗出域。数值结果还表明,施加在侧壁浓度场上的边界条件类型对速度场的影响可以忽略不计。达西数(varvec{Da = 10^{-2} })越高,杂质的演化越明显,体系达到稳态的速度越快。当达西数较低((varvec{ Da = 10^{-3} })和(varvec{Da = 10^{-4}}))时,孔隙基质外的杂质演化速率大致相同,而当达西数较大时,孔隙基质内的杂质演化速率更为剧烈。
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Microgravity Science and Technology
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