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Investigation of magnetic spring stiffness characteristics in magnetic resonance linear compressors for pulse tube cryocoolers 脉管制冷机用磁共振直线压缩机磁弹簧刚度特性研究
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-14 DOI: 10.1016/j.cryogenics.2026.104287
Zhouhang Hu , Xuan Yu , Zhenxing Li , Mingsheng Tang , Huiming Zou , Jun Shen
Magnetic resonance linear compressors play a critical role in the miniaturization and reliability enhancement of miniature cryocoolers. In this study, a finite element analysis system is employed to investigate the mechanism of the magnetic spring effect in magnetic resonance linear compressors. Furthermore, the magnetic spring force of the linear compressor was measured through experimental testing. The experimental results are compared with simulation outcomes, validating the reliability of the simulation model. The magnetic spring effect caused by electromagnetic–mechanical coupling in magnetic resonance linear motors is studied through finite element simulation and experimental verification. The results reveal asymmetric stiffness characteristics, stroke dependence, and frequency independence in magnetic spring behavior. Quantitative analysis of stiffness nonlinearity across displacement ranges is conducted via static and dynamic magnetic spring tests. Experimental data demonstrate: under static conditions, magnetic spring stiffness increases from 28.9 N/mm to 37.4 N/mm (an increase of 29.4 %) during compression (0 to +7.4 mm), and from 21.5 N/mm to 34.1 N/mm (an increase of 58.6 %) during expansion (-15 mm to 0 mm). Dynamic conditions show resonant frequency increasing with stroke magnitude, validating displacement-dependent stiffness. At 7 mm stroke, the relative error between theoretical equivalent stiffness (24.6 N/mm) and frequency-scanned measured value (24.5 N/mm) is merely 0.58 %, confirming the feasibility of predicting dynamic stiffness using static test results. Furthermore, the integration of the magnetic resonance linear motor into the pulse tube cryocooler demonstrates the feasibility of applying magnetic resonance linear motors in miniature cryocoolers.
磁共振线性压缩机对微型制冷机的小型化和可靠性的提高起着至关重要的作用。本文采用有限元分析系统对磁共振线性压缩机的磁弹簧效应机理进行了研究。通过实验测试,测量了直线压缩机的磁弹簧力。将实验结果与仿真结果进行了比较,验证了仿真模型的可靠性。通过有限元仿真和实验验证,研究了磁共振直线电机中电磁-机械耦合引起的磁弹簧效应。结果揭示了磁弹簧的非对称刚度特性、行程依赖性和频率依赖性。通过静态和动态磁弹簧试验,定量分析了各位移范围内的刚度非线性。实验数据表明:在静态条件下,在压缩(0 ~ +7.4 mm)过程中,磁弹簧刚度从28.9 N/mm增加到37.4 N/mm(增加29.4%);在膨胀(-15 mm ~ 0 mm)过程中,磁弹簧刚度从21.5 N/mm增加到34.1 N/mm(增加58.6%)。动态条件显示共振频率随行程大小增加,验证了位移相关刚度。在7mm行程时,理论等效刚度(24.6 N/mm)与频率扫描测量值(24.5 N/mm)之间的相对误差仅为0.58%,证实了利用静态测试结果预测动态刚度的可行性。此外,将磁共振直线电机集成到脉冲管制冷机中,证明了将磁共振直线电机应用于微型制冷机的可行性。
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引用次数: 0
Assessing non-darcy effects in porous materials: A comparative study of forchheimer and reynolds number criteria 评估多孔材料中的非达西效应:福希海默和雷诺数标准的比较研究
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-12 DOI: 10.1016/j.cryogenics.2026.104278
R.M.A. Spijkers, D.H. Oude Veldhuis, S. Vanapalli
Dry-shippers are cryogenic transport containers designed for the shipment of biomedical samples, in which liquid nitrogen is absorbed in a porous lining to comply with aviation safety regulations. There is a demand for improved lining materials, due to challenges related to cleaning and structural durability. Addressing these challenges and selecting new materials requires a comprehensive understanding of permeability and its accurate characterization. When a dry-shipper is initially at room temperature, charging it with liquid nitrogen causes substantial evaporation. The resulting volumetric expansion, by a factor exceeding 175, leads to a significant increase in gas flow velocity, and the associated viscous drag may influence the wicking behavior of the porous lining. Accurate modeling of this gas flow through porous media requires the incorporation of both the Klinkenberg and Forchheimer corrections, which account for gas slippage and inertial effects, respectively. These effects are typically predicted using the Knudsen and Reynolds numbers. However, our experimental findings demonstrate that both corrections are required, even in conditions where the Forchheimer correction is not predicted by conventional Reynolds number criteria. To investigate this discrepancy, the permeability of a porous lining material was experimentally characterized by measuring the pressure drop over a sample while varying nitrogen gas flow rates. The pressure gradient was modeled using the Darcy-Forchheimer equation, modified to include the Klinkenberg correction. Characteristic material parameters were obtained via curve fitting, using a Runge-Kutta method to integrate the pressure gradient. The analysis yielded an intrinsic permeability of 4.31 ± 0.22 1014 m2, a Forchheimer parameter of 1.58 ± 0.04 108 m1, and a Klinkenberg parameter of 55.8 ± 2.1 kPa. These results demonstrate that the Forchheimer number is a more reliable indicator of the onset of form drag in porous media than Reynolds number-based criteria, particularly for materials with complex microstructures. This highlights the importance of rigorously assessing inertial effects in porous materials with irregular pore geometries.
干式运输箱是为运输生物医学样品而设计的低温运输容器,其中液氮被吸收在多孔衬里中,以符合航空安全法规。由于与清洁和结构耐久性相关的挑战,有对改进衬里材料的需求。解决这些挑战和选择新材料需要全面了解磁导率及其准确表征。当干式托运人最初处于室温时,向其充入液氮会导致大量蒸发。由此产生的体积膨胀,超过175倍,导致气体流速显著增加,并且相关的粘性阻力可能影响多孔衬砌的排芯行为。对这种气体在多孔介质中的流动进行精确建模,需要结合Klinkenberg和Forchheimer修正,这两种修正分别考虑了气体滑移和惯性效应。这些效应通常用克努森数和雷诺数来预测。然而,我们的实验结果表明,即使在传统雷诺数标准无法预测Forchheimer校正的情况下,这两种校正也是必需的。为了研究这种差异,通过测量样品在不同氮气流速下的压降,对多孔衬里材料的渗透率进行了实验表征。压力梯度是用Darcy-Forchheimer方程建模的,该方程经过修改,包含了Klinkenberg校正。采用龙格-库塔法对压力梯度进行积分,通过曲线拟合得到材料特征参数。分析结果表明,其固有磁导率为4.31±0.22 10−14 m2, Forchheimer参数为1.58±0.04 108 m−1,Klinkenberg参数为55.8±2.1 kPa。这些结果表明,与基于雷诺数的标准相比,Forchheimer数是多孔介质中形态阻力开始的更可靠指标,特别是对于具有复杂微观结构的材料。这突出了严格评估具有不规则孔隙几何形状的多孔材料中的惯性效应的重要性。
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引用次数: 0
Comparison of hybrid Er3Ni/stainless steel screen with HoCu2/stainless steel screen in pulse tube cryocooler as regenerator materials Er3Ni/不锈钢杂化筛网与HoCu2/不锈钢筛网作为脉冲管制冷机蓄热材料的比较
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-22 DOI: 10.1016/j.cryogenics.2026.104294
Wenting Wu , Wang Yin , Hejun Hui , Kongkuai Ying , Zhenhua Jiang , Yinong Wu , Shaoshuai Liu
A two-stage Stirling-type pulse tube cryocooler (SPTC) can not only provide a cryogenic environment in the liquid hydrogen temperature region for space exploration payloads, but also serves as a precooler to supply pre-stage cooling for Joule-Thomson (JT) cryocoolers. The development of space exploration technology has placed higher requirements on two-stage SPTCs. One of the reasons limiting the performance improvement of two-stage SPTCs is the low regenerator efficiency at low temperatures. Selecting appropriate regenerator materials and filling schemes is an important means to improve the regenerator efficiency. In this paper, the regenerator efficiency of the second regenerator and the cooling performance of two-stage SPTCs with magnetic materials were investigated by simulations and experiments. Simulation results indicate that although magnetic materials lead to higher pressure drop loss, the irreversible heat transfer loss in the regenerator is significantly reduced due to the use of magnetic materials, and the irreversible heat transfer loss with Er3Ni is lower than that with HoCu2. When the cooling temperature is 15 K, the proportion of irreversible heat transfer loss in the cold-end PV power with Er3Ni and HoCu2 are 36.42% and 42.59%, respectively. Subsequently, a test platform for a thermal-coupled two-stage SPTC was built to test the influence of Er3Ni and HoCu2 on the cooling performance in the 10–30 K temperature range. According to experimental results, the cryocooler achieves a no-load temperature of 9.04 K when Er3Ni is used as the regenerator material, which is lower than the 10.40 K no-load temperature obtained with HoCu2. Cooling capacities obtained with Er3Ni and HoCu2 are 0.70 W and 0.57 W when the cooling temperature is 15 K; and the cooling capacities at 30 K are 2.79 W and 2.76 W, respectively.
两级斯特林式脉冲管制冷机(SPTC)不仅可以为空间探测有效载荷提供液氢温度区域的低温环境,还可以作为预冷器为焦耳-汤姆逊(JT)制冷机提供预冷。空间探索技术的发展对两级sptc提出了更高的要求。限制两级sptc性能提高的原因之一是低温回热效率低。选择合适的再生材料和充填方案是提高再生效率的重要手段。本文通过仿真和实验研究了二级蓄热器的蓄热效率和磁性材料两级sptc的冷却性能。仿真结果表明,尽管磁性材料导致了较高的压降损失,但磁性材料的使用显著降低了蓄热器内的不可逆换热损失,且Er3Ni的不可逆换热损失低于HoCu2。当冷却温度为15 K时,Er3Ni和HoCu2冷端光伏发电的不可逆传热损失比例分别为36.42%和42.59%。随后,建立了热耦合两级SPTC的测试平台,测试了Er3Ni和HoCu2在10-30 K温度范围内对冷却性能的影响。实验结果表明,以Er3Ni为蓄热材料时制冷机的空载温度为9.04 K,低于以HoCu2为蓄热材料时的空载温度10.40 K。当冷却温度为15 K时,Er3Ni和HoCu2的制冷量分别为0.70 W和0.57 W;30k时的制冷量分别为2.79 W和2.76 W。
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引用次数: 0
Experimental measurement of VL(L)E for R14+R32 binary mixture and theoretical assessment of cryogenic refrigeration performance R14+R32二元混合物VL(L)E的实验测量及低温制冷性能的理论评价
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-07 DOI: 10.1016/j.cryogenics.2026.104277
Yunxiao Wang , Yuqing Zhao , Shaohua Lv , Yanxing Zhao , Xueqiang Dong , Maoqiong Gong
Mixed refrigerant throttle refrigeration holds significant application potential in space, such as for Martian carbon dioxide freeze-trapping and cryogenic freezers on space stations. These scenarios impose stringent requirements on temperature control precision and temperature uniformity. Mixed refrigerants exhibiting vapor-liquid-liquid equilibrium have fewer degrees of freedom, enabling more precise control over refrigeration temperatures. Furthermore, their phase change process closely approximates isothermal evaporation, resulting in a more uniform temperature distribution. Tetrafluoromethane (R14)+difluoromethane (R32), a nonpolar-polar mixture, is a promising VLLE working fluid, but its practical utilization is limited by scarce experimental phase equilibrium data. In this study, the vapor–liquid (liquid) equilibrium characteristics of the R14+R32 binary mixture were experimentally investigated at 173.150–213.150 K. The experimental data were fitted and the binary interaction parameters were regressed using two thermodynamic models: the Peng-Robinson equation of state combined with the van der Waals mixing rule (PR-vdW), and the PR equation of state combined with the modified Huron-Vidal second-order mixing rule and the nonrandom two-liquid activity coefficient model (PR-MHV2-NRTL). For the PR-vdW model, the maximum average absolute relative deviation of pressure (AARDp) and average absolute deviation of vapor-phase composition (AADy) were 3.03% and 0.0092, respectively. For the PR-MHV2-NRTL model, the corresponding values were 1.65% and 0.0103. Further investigation was conducted on the refrigeration performance of R14+R32. The results showed that the mixture achieved a maximum exergy efficiency of 44%. This highlights its potential for high-precision cryogenic systems and extraterrestrial applications, such as stratospheric and Martian environments. This work provides the first comprehensive experimental dataset and thermodynamic assessment for the R14+R32 mixture, enabling accurate design of next-generation cryogenic refrigeration systems.
混合制冷剂节流制冷在空间中具有重要的应用潜力,例如用于火星上的二氧化碳冷冻捕获和空间站上的低温冷冻机。这些场景对温度控制精度和温度均匀性提出了严格的要求。混合制冷剂表现出气-液-液平衡,具有更少的自由度,能够更精确地控制制冷温度。此外,它们的相变过程非常接近等温蒸发,从而使温度分布更加均匀。四氟甲烷(R14)+二氟甲烷(R32)作为一种非极性-极性混合物,是一种很有前途的VLLE工质,但其实际应用受到缺乏相平衡实验数据的限制。在173.150 ~ 213.150 K的温度下,实验研究了R14+R32二元混合物的气液(液)平衡特性。采用结合范德华混合规则的彭氏-罗宾逊状态方程(PR- vdw)和结合改进的休伦-维达尔二阶混合规则和非随机双液活度系数模型(PR- mhv2 - nrtl)两种热力学模型对实验数据进行拟合,并对二元相互作用参数进行回归。PR-vdW模型的最大平均绝对相对压力偏差(AARDp)和气相组成平均绝对偏差(AADy)分别为3.03%和0.0092。PR-MHV2-NRTL模型对应的值分别为1.65%和0.0103。对R14+R32的制冷性能进行了进一步的研究。结果表明,该混合料的最高火用效率为44%。这突出了它在高精度低温系统和地外应用(如平流层和火星环境)方面的潜力。这项工作为R14+R32混合物提供了第一个全面的实验数据集和热力学评估,为下一代低温制冷系统的精确设计提供了可能。
{"title":"Experimental measurement of VL(L)E for R14+R32 binary mixture and theoretical assessment of cryogenic refrigeration performance","authors":"Yunxiao Wang ,&nbsp;Yuqing Zhao ,&nbsp;Shaohua Lv ,&nbsp;Yanxing Zhao ,&nbsp;Xueqiang Dong ,&nbsp;Maoqiong Gong","doi":"10.1016/j.cryogenics.2026.104277","DOIUrl":"10.1016/j.cryogenics.2026.104277","url":null,"abstract":"<div><div>Mixed refrigerant throttle refrigeration holds significant application potential in space, such as for Martian carbon dioxide freeze-trapping and cryogenic freezers on space stations. These scenarios impose stringent requirements on temperature control precision and temperature uniformity. Mixed refrigerants exhibiting vapor-liquid-liquid equilibrium have fewer degrees of freedom, enabling more precise control over refrigeration temperatures. Furthermore, their phase change process closely approximates isothermal evaporation, resulting in a more uniform temperature distribution. Tetrafluoromethane (R14)+difluoromethane (R32), a nonpolar-polar mixture, is a promising VLLE working fluid, but its practical utilization is limited by scarce experimental phase equilibrium data. In this study, the vapor–liquid (liquid) equilibrium characteristics of the R14+R32 binary mixture were experimentally investigated at 173.150–213.150 K. The experimental data were fitted and the binary interaction parameters were regressed using two thermodynamic models: the Peng-Robinson equation of state combined with the van der Waals mixing rule (PR-vdW), and the PR equation of state combined with the modified Huron-Vidal second-order mixing rule and the nonrandom two-liquid activity coefficient model (PR-MHV2-NRTL). For the PR-vdW model, the maximum average absolute relative deviation of pressure (AARD<em>p</em>) and average absolute deviation of vapor-phase composition (AAD<em>y</em>) were 3.03% and 0.0092, respectively. For the PR-MHV2-NRTL model, the corresponding values were 1.65% and 0.0103. Further investigation was conducted on the refrigeration performance of R14+R32. The results showed that the mixture achieved a maximum exergy efficiency of 44%. This highlights its potential for high-precision cryogenic systems and extraterrestrial applications, such as stratospheric and Martian environments. This work provides the first comprehensive experimental dataset and thermodynamic assessment for the R14+R32 mixture, enabling accurate design of next-generation cryogenic refrigeration systems.</div></div>","PeriodicalId":10812,"journal":{"name":"Cryogenics","volume":"155 ","pages":"Article 104277"},"PeriodicalIF":2.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145924503","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
Optimizing hydrogen adsorption capacity in porous carbon through CNN and SHAP analysis 通过CNN和SHAP分析优化多孔碳的吸氢能力
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-19 DOI: 10.1016/j.cryogenics.2026.104291
Chen Huang , Junting Zhao , Yu Zhang , Linghui Gong
Based on nitrogen adsorption isotherms at 77 K, this study develops a one-dimensional convolutional neural network (1D-CNN) model to predict the hydrogen adsorption capacity of porous carbons. A dataset comprising 859 adsorption data points from 116 porous carbon structures was constructed. The model achieved a high predictive accuracy, with a coefficient of determination (R2) of 0.9511 on the test set. Using synthetic isotherms generated via the Langmuir equation, optimal structural parameters were identified, revealing that porous carbons with parameters a = 100 and b = 830 exhibit superior hydrogen uptake below 1 bar. Non-local density functional theory (NLDFT) analysis further demonstrated that pores below 10.25 Å play a critical role in hydrogen adsorption at 77 K. SHapley Additive exPlanations (SHAP) analysis highlighted that only a small subset of structural features—mainly within relative pressure (P/P0) ranges of 0.08–0.27 and 0.80–0.92—significantly influences hydrogen adsorption. This work provides both a reliable predictive model and interpretable insights into the pore-level mechanisms governing hydrogen storage in porous carbon materials.
基于77 K时的氮气吸附等温线,本文建立了一维卷积神经网络(1D-CNN)模型来预测多孔碳的吸氢能力。构建了包含116个多孔碳结构的859个吸附数据点的数据集。该模型具有较高的预测精度,在测试集上的决定系数(R2)为0.9511。利用Langmuir方程生成的合成等温线,确定了最佳结构参数,表明参数a = 100和b = 830的多孔碳在1 bar以下具有较好的吸氢性能。非局部密度泛函理论(NLDFT)分析进一步表明,10.25 Å以下的孔隙对77 K下的氢吸附起关键作用。SHapley加性解释(SHAP)分析强调,只有一小部分结构特征——主要在相对压力(P/P0) 0.08-0.27和0.80 - 0.92范围内——显著影响氢吸附。这项工作既提供了可靠的预测模型,也为多孔碳材料中储氢的孔级机制提供了可解释的见解。
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引用次数: 0
Study of the voltage limiting method of combining nonlinear resistors and pulse capacitors for superconducting inductive pulse power supply 超导感应脉冲电源中非线性电阻与脉冲电容组合限压方法的研究
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-16 DOI: 10.1016/j.cryogenics.2026.104290
Junpeng Gu , Haitao Li , Zhenyu Liu , Xue Ai , Shanhui Mi , Ningze Ma
The inductive pulse power supply based on superconducting energy storage has the advantages of low primary power demand, high energy storage density, and low resistance loss, making it have great application prospects in fields such as electromagnetic propulsion and directional energy equipment. However, how to limit the voltage of the opening switch in a superconducting inductive pulse power supply (SPPS) remains an inherent technical challenge. This study proposes a voltage limiting method for the opening switch using a combination of ZnO nonlinear resistors and pulse capacitors. During the discharge stage of superconducting inductors, pulse capacitors can be used to limit the sudden changes in the voltage of the opening switch, while ZnO nonlinear resistors can be used to limit the maximum voltage of the opening switch. Simulations and experiments were conducted using an SPPS circuit constructed with a high-temperature superconducting pulse power transformer (HTSPPT) to demonstrate the combined voltage limiting method. At the same time, the feasibility of using ZnO nonlinear resistors for voltage limiting in liquid nitrogen environment was verified. The results show that the combination of ZnO nonlinear resistors and pulse capacitors can significantly limit the opening switch voltage in SPPS circuits, and ZnO nonlinear resistors can still maintain stable voltage limiting performance in liquid nitrogen environments.
基于超导储能的感应脉冲电源具有一次功率需求低、储能密度高、电阻损耗低等优点,在电磁推进、定向能设备等领域具有很大的应用前景。然而,如何限制超导感应脉冲电源(SPPS)的开路开关电压仍然是一个固有的技术挑战。本研究提出一种利用ZnO非线性电阻与脉冲电容相结合的限压方法。在超导电感放电阶段,脉冲电容器可用于限制开路开关电压的突然变化,ZnO非线性电阻器可用于限制开路开关的最大电压。利用高温超导脉冲电源变压器(HTSPPT)构成的SPPS电路进行了仿真和实验,验证了该组合限压方法。同时,验证了ZnO非线性电阻器在液氮环境下限压的可行性。结果表明,ZnO非线性电阻器与脉冲电容的组合能显著限制SPPS电路的开断开关电压,且ZnO非线性电阻器在液氮环境下仍能保持稳定的限压性能。
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引用次数: 0
Properties of filamentary MgB2 superconducting wires commercially produced by ex-situ and in-situ process 非原位法和原位法生产的MgB2超导体丝的性能
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-16 DOI: 10.1016/j.cryogenics.2026.104288
P. Kováč, J. Kováč
Today, km-long MgB2 wires are commercially produced using the Power-in-Tube (PIT) process; however, commercial companies that also conduct measurements of basic properties often lack more detailed characterizations. Therefore, more detailed studies are usually done by research institutes or universities. We have measured the low-temperature properties of two commercial MgB2 wires, manufactured by ex-situ and in-situ processes, and compared their behaviour from the point of application. It was demonstrated that a higher critical temperature of 39 K for ex-situ wires provides a larger temperature window for applications. On the other hand, in-situ made wires have higher engineering current densities at lower temperatures and higher magnetic fields. Consequently, ex-situ wires are more suitable for higher working temperatures and low magnetic fields, and in-situ ones for higher magnetic fields and temperatures ≤ 20 K. In addition, lower AC losses are measured for in-situ wire due to the smaller amount of magnetic materials (Ni and Monel) and also the application of short pitch twisting, which is not possible for ex-situ wire.
如今,千米长的MgB2电线已采用管内供电(PIT)工艺进行商业化生产;然而,同样进行基本属性测量的商业公司往往缺乏更详细的特征描述。因此,更详细的研究通常由研究机构或大学进行。我们已经测量了两种商用MgB2线的低温性能,通过非原位和原位工艺制造,并从应用角度比较了它们的行为。结果表明,非原位线的临界温度为39 K,为应用提供了更大的温度窗口。另一方面,原位制造的导线在较低的温度和较高的磁场下具有较高的工程电流密度。因此,非原位导线更适合高工作温度和低磁场,原位导线更适合高磁场和温度≤20 K。此外,由于使用较少的磁性材料(Ni和Monel)以及短节距扭转,原位线的交流损耗也较低,这在非原位线中是不可能的。
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引用次数: 0
Investigation of the levitation and drag force parameters of the electrodynamic maglev based on Halbach array of HTS bulks on aluminium rail 基于铝轨上HTS本体Halbach阵列的电磁悬浮浮阻力参数研究
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-09 DOI: 10.1016/j.cryogenics.2026.104280
U.Kemal Ozturk , Ali Suat Yıldız , Murat Abdioglu
This study aims to investigate the performance parameters of high-temperature superconducting (HTS) bulks and permanent magnets (PMs) as magnetic field sources in electrodynamic suspension (EDS) systems, with the goal of enhancing the currently low magnetic lift force and reducing the high drag force in such systems. A numerical analysis is conducted on an EDS system utilizing Halbach arrays of HTS and PM bulks. The H-formulation within the Partial Differential Equation (PDE) module is employed to simulate the flux-trapping performance of the HTS bulks, with results verified by experimental data from the literature. The lift and drag forces between the arrays and an aluminium rail are investigated using the Rotating Machinery-Magnetic module of COMSOL. It is observed that increasing the width of the central sample in the array results in a higher peak value of the vertical magnetic flux density and a broader peak profile, indicating a more extended effective magnetic field region across the rail surface. The HTS-based system exhibits significantly higher lift force and loading capacity compared to its PM-based counterpart. Specifically, a Halbach array composed of three HTS bulks (10 mm, 70 mm, 10 mm widths; HTS#10-70-10) achieves a better lift force representing a 211.5 % increase over the PM array. Furthermore, the lift-to-drag ratio (LDR) of the HTS array improves by 17.2 %. The results indicate that the HTS arrays offer superior performance in terms of both lift force and energy efficiency, highlighting their potential for enhancing the applicability of HTS-EDS systems in real-scale applications. This study features the advantages of HTS-based systems in achieving higher loading capacities and more efficient operation conditions compared to the PM arrays.
本研究旨在研究高温超导体(HTS)和永磁体(pm)在电动悬架(EDS)系统中作为磁场源的性能参数,以提高目前该系统中低磁升力和降低高阻力。对利用HTS和PM体的Halbach阵列的EDS系统进行了数值分析。利用偏微分方程(PDE)模块中的h -公式模拟了HTS体的通量捕获性能,并通过文献中的实验数据验证了结果。利用COMSOL公司的旋转机械-磁力模块研究了阵列与铝导轨之间的升力和阻力。可以观察到,增加阵列中中心样品的宽度导致垂直磁通密度的峰值更高,峰值轮廓更宽,表明有效磁场区域在轨道表面上的扩展更大。与基于pm的系统相比,基于hts的系统具有更高的升力和负载能力。具体来说,由三个HTS块(10毫米、70毫米、10毫米宽度;HTS#10-70-10)组成的Halbach阵列获得了更好的升力,比PM阵列增加了21.5%。此外,HTS阵列升阻比(LDR)提高了17.2%。结果表明,HTS阵列在升力和能源效率方面都具有优异的性能,突出了其在实际应用中增强HTS- eds系统适用性的潜力。与PM阵列相比,基于hts的系统在实现更高的负载能力和更有效的运行条件方面具有优势。
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引用次数: 0
Investigation of the dual-diameter inertance tube of a pulse tube cryocooler operating at super-high frequencies 超高频工作脉冲管制冷机双直径惰性管的研究
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2026-01-19 DOI: 10.1016/j.cryogenics.2026.104293
Geyang Li , Tianshi Feng , Menglin Liang , Yanen Li , Qingjun Tang , Yuhong Zhang , Houlei Chen , Yue Xue Ma
Increasing the operating frequency is a key strategy for the miniaturization of the pulse tube cryocoolers. In the pursuit of high frequency and compact system designs, maintaining the phase relationship between the pressure and mass flow within the regenerator is essential for sustaining the cooling performance of the cryocoolers. However, at super-high operating frequencies, precise control of the phase angle becomes increasingly challenging when using the inertance tube and reservoir as the phase shifter. In this paper, a three-dimensional model of the inertance tube and reservoir was developed to investigate the critical internal flow parameters at super-high frequencies. The mass flow amplitude and the phase angle along the tube were compared for single-diameter and dual-diameter inertance tube configurations at 150 Hz. Experimental validation was conducted to evaluate the impact of these configurations on the pulse tube cryocooler’s performance. The results demonstrate that employing a dual-diameter inertance tube as the phase shifter significantly enhances the cooling performance in super-high frequency cryocoolers.
提高工作频率是实现脉冲管制冷机小型化的关键策略。在追求高频和紧凑的系统设计中,保持蓄热器内压力和质量流之间的相位关系对于维持制冷机的冷却性能至关重要。然而,在超高工作频率下,当使用惯性管和储液器作为移相器时,精确控制相角变得越来越具有挑战性。本文建立了惯性管和储层的三维模型,研究了超高频下的临界内部流动参数。比较了150 Hz条件下单直径和双直径惯性管配置的质量流幅值和沿管相位角。实验验证了这些配置对脉冲管制冷机性能的影响。结果表明,采用双直径惯性管作为移相器可以显著提高超高频制冷机的制冷性能。
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引用次数: 0
Prediction of boil-off gas in cryogenic tanks using a multi-zone thermodynamic model: filling height effects 用多区热力学模型预测低温储罐中蒸发气体:填充高度效应
IF 2.1 3区 工程技术 Q3 PHYSICS, APPLIED Pub Date : 2026-03-01 Epub Date: 2025-12-08 DOI: 10.1016/j.cryogenics.2025.104256
Min Seok Kim, Min-Seok Kim, Jang Hyun Lee
This study presents a comprehensive modelling and validation framework for accurate prediction of boil-off gas (BOG) in open-vent (quasi-isobaric) cryogenic liquid tanks containing LNG, LH2, or LN2. A multi-zone thermodynamic model (M–TDM) partitions the tank into vapour, interfacial, and liquid zones and couples them through a thermal-resistance network that resolves zone-specific, time-varying heat ingress as the instantaneous filling height evolves.
Whereas conventional TDM models estimate BOG with emphasis on total heat input and latent heat, the proposed M–TDM provides a more detailed treatment by explicitly modelling convective heat-transfer coefficients and effective contact areas, and by decomposing heat ingress into wall–to–liquid, wall–to–vapour, and interfacial components.
To verify the model’s predictive capability, experimental validation was conducted under open-vent operation using a horizontal Type-C LN2 tank at three initial filling ratios (50%, 65%, and 80%), allowing quantitative comparison of time-dependent BOG rates. The M–TDM accurately reproduces the measured BOG trends with average errors below 5.4%, while achieving substantial computational efficiency—reducing the runtime from approximately 2.5 h (as required by SINDA/FLUINT) to about 10 s.
In particular, the results highlight that BOG generation is more strongly governed by the evolving wetted surface area and interfacial heat-transfer dynamics than by the initial fill level alone, offering new physical insights into cryogenic tank behavior. These findings demonstrate that the M–TDM, when combined with experimental validation and physical interpretation of filling-height effects, serves not merely as a numerical tool but as a physically grounded, experimentally supported methodology for insulation design, BOG management, and cryogenic system optimization.
本研究提出了一个全面的建模和验证框架,用于准确预测含有LNG、LH2或LN2的开放式(准等压)低温液体罐中的蒸发气体(BOG)。多区域热力学模型(M-TDM)将储罐划分为蒸汽区、界面区和液体区,并通过热阻网络将它们耦合起来,该网络可以根据瞬时填充高度的变化解决特定区域的时变热输入问题。传统的TDM模型在估算BOG时强调总热输入和潜热,而M-TDM模型通过明确模拟对流换热系数和有效接触面积,并将热输入分解为壁面-液体、壁面-蒸汽和界面组分,提供了更详细的处理。为了验证模型的预测能力,实验验证在开式操作下进行,使用卧式c型LN2罐在三种初始填充比例(50%,65%和80%)下进行,允许定量比较随时间变化的BOG率。M-TDM精确地再现了BOG的测量趋势,平均误差低于5.4%,同时实现了可观的计算效率——将运行时间从大约2.5小时(SINDA/FLUINT要求的)减少到大约10秒。特别是,研究结果强调,BOG的产生更强烈地受到不断变化的湿表面积和界面传热动力学的影响,而不是仅仅受到初始填充水平的影响,这为低温罐的行为提供了新的物理见解。这些发现表明,当M-TDM与实验验证和充填高度效应的物理解释相结合时,它不仅可以作为数值工具,而且可以作为物理基础的、实验支持的方法,用于隔热设计、BOG管理和低温系统优化。
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Cryogenics
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