Millikelvin温区烧结式换热器流动与传热特性数值模拟研究

喻凡; 王倩; 崔文慧; 刘琦; 王少刚

doi:10.11949/0438-1157.20260230

您当前的位置：

首页 >

文章列表页 >

Millikelvin温区烧结式换热器流动与传热特性数值模拟研究

专辑：低温科学与技术进展 | 更新时间：2026-06-29

- Millikelvin温区烧结式换热器流动与传热特性数值模拟研究
- Numerical study of flow and heat transfer performance of porous-media heat exchanger in millikelvin temperature regime
- 化工学报 2026年
- 作者机构：
  
  中山先进低温技术研究院，广东中山 528400
- 作者简介：
  
  喻凡(1992—)，男，博士，助理研究员， yufan@ziac.cn
  王倩(1992—)，女，博士，高级工程师， wangqian@ziac.cn
- 基金信息：
  
  广东省人才专项(2024TQ08A329)
- DOI：10.11949/0438-1157.20260230
  中图分类号： TK172
- 收稿：2026-02-14，
  
  修回：2026-06-26，
  
  录用：2026-06-29，
- 稿件说明：
移动端阅览
喻凡, 王倩, 崔文慧, 等. Millikelvin温区烧结式换热器流动与传热特性数值模拟研究[J/OL]. 化工学报, 2026.

YU Fan, WANG Qian, CUI Wenhui, et al. Numerical study of flow and heat transfer performance of porous-media heat exchanger in millikelvin temperature regime[J/OL]. CIESC Journal, 2026.
喻凡, 王倩, 崔文慧, 等. Millikelvin温区烧结式换热器流动与传热特性数值模拟研究[J/OL]. 化工学报, 2026. DOI： 10.11949/0438-1157.20260230.

YU Fan, WANG Qian, CUI Wenhui, et al. Numerical study of flow and heat transfer performance of porous-media heat exchanger in millikelvin temperature regime[J/OL]. CIESC Journal, 2026. DOI： 10.11949/0438-1157.20260230.

摘要

液氦与固体界面之间的Kapitza热阻在毫开尔文温区对多孔介质换热器（PMHEs）的流动与传热性能具有重要影响。为探究Kapitza热阻对烧结多孔介质换热器传热效率的影响规律，建立了一个局部热非平衡模型，该模型综合考虑了轴向导热、黏性耗散效应以及Kapitza热阻随温度的变化特性，用于描述多孔介质区域中的传热行为；烧结金属多孔介质内的流体流动采用Brinkman-Forchheimer方程进行模拟。结果表明，该模型能够有效捕捉液氦与固体界面处的温度跳跃现象。基于上述模型，分析了不同工况下的温度和压力变化规律，揭示了其背后的传热机理。此外，研究了Kapitza热阻和轴向导热对传热性能的影响，并系统探讨了流量、传热面积和烧结参数等因素对流动传热性能的影响机制。

Abstract

Kapitza thermal resistance at the interfaces between liquid helium and solid components significantly affects the flow and heat transfer performance of porous-media heat exchangers (PMHEs) in the millikelvin temperature regime. ‌To explore the influence law of Kapitza thermal resistance on the heat transfer efficiency of sintered porous media heat exchangers‌

a clear understanding of its impact is essential for enhancing interfacial heat transfer efficiency in sintered heat exchangers. In this work

‌a local thermal non-equilibrium model is established‌

which comprehensively considers ‌axial heat conduction‌

viscous dissipation effect and the variation characteristics of Kapitza thermal resistance with temperature

‌to describe the heat transfer behavior in the porous media region‌. Fluid flow within the sintered sponges is described using the Brinkman-Forchheimer equations. ‌The results show that the proposed model can effectively capture the temperature jump phenomenon at the interface between liquid helium and solid‌. Based on the above model

‌the variation laws of temperature and pressure under different working conditions are analyzed

and the underlying heat transfer mechanism is revealed‌. Furthermore

‌the effects of Kapitza thermal resistance and axial heat conduction on heat transfer performance are investigated

and the influence mechanism of parameters such as flow rate

heat transfer area and sintering parameters on flow and heat transfer performance is systematically discussed‌. Additionally

the effects of flow rate

heat transfer area

and sintering parameters are systematically studied. Based on these findings

a predictive model for the outlet temperature of the concentrated phase and the cooling power is developed by incorporating viscous dissipation

axial heat conduction

and the temperature dependence of Kapitza thermal resistance.

关键词

Keywords

references

Zheng M W , Li J G , Guo H W , et al . Experimental study on a dry dilution refrigerator driven by a high-power linear compressor [J ] . Cryogenics , 2024 , 138 : 103802 .

Zheng M W , Quan J , Wang N L , et al . A brief review of dilution refrigerator development for space applications [J ] . Journal of Low Temperature Physics , 2019 , 197 ( 1 ): 1 - 9 .

Zu H , Dai W , de Waele A T A M . Development of dilution refrigerators: a review [J ] . Cryogenics , 2022 , 121 : 103390 .

Gong H , Ma X T , Meng S N , et al . Regulation strategy and analysis of the ultra-low temperature heat and mass transfer capacity of 3He-4He mixture in the mixing chamber of dilution refrigerator [J ] . Applied Thermal Engineering , 2024 , 248 : 123342 .

Fu B S , Yi L , Zhou J . Dilution refrigerator and its heat transfer problems [J ] . Acta Physica Sinica , 2021 , 70 ( 23 ): 230202 .

Frossati G . Experimental techniques: Methods for cooling below 300 mK [J ] . Journal of Low Temperature Physics , 1992 , 87 ( 3 ): 595 - 633 .

Takano Y . Cooling power of the dilution refrigerator with a perfect continuous counterflow heat exchanger [J ] . Review of Scientific Instruments , 1994 , 65 ( 5 ): 1667 - 1674 .

Uhlig K . 3He/4He dilution refrigerator precooled by Gifford–McMahon cooler II. Measurements of the vibrational heat leak [J ] . Cryogenics , 2002 , 42 ( 9 ): 569 - 575 .

Swartz E T , Pohl R O . Thermal boundary resistance [J ] . Reviews of Modern Physics , 1989 , 61 ( 3 ): 605 - 668 .

Ramiere A , Volz S , Amrit J . Thermal resistance at a solid/superfluid helium interface [J ] . Nature Materials , 2016 , 15 ( 5 ): 512 - 516 .

Chen J , Xu X F , Zhou J , et al . Interfacial thermal resistance: Past, present, and future [J ] . Reviews of Modern Physics , 2022 , 94 ( 2 ): 025002 .

Oda Y , Fujii G , Nagano H . Practical design of a heat exchanger for dilution refrigeration 1 [J ] . Cryogenics , 1978 , 18 ( 2 ): 73 - 78 .

Krusius M , Paulson D N , Wheatley J C . Properties of sintered copper powders and their application in a nuclear refrigerator with precise temperature control [J ] . Cryogenics , 1978 , 18 ( 12 ): 649 - 655 .

Radebaugh R , Siegwarth J D . Dilution refrigerator technology [J ] . Cryogenics , 1971 , 11 ( 5 ): 368 - 384 .

Keith V , Ward M G . A recipe for sintering submicron silver powders [J ] . Cryogenics , 1984 , 24 ( 5 ): 249 - 250 .

Robertson R J , Guillon F , Harrison J P . Properties of sintered submicron copper and silver powders and their relation to low temperature heat exchangers [J ] . Canadian Journal of Physics , 1983 , 61 ( 2 ): 164 - 176 .

Rogacki K , Kubota M , Syskakis E G , et al . Well-characterized sintered submicrometer copper powder for low temperature heat exchangers [J ] . Journal of Low Temperature Physics , 1985 , 59 ( 5 ): 397 - 412 .

Nakagawa H , Miseki Y , Akoshima M . Gas adsorption, thermal and structural properties of sinters made of fine silver powder for ultra-low-temperature heat exchangers [J ] . Cryogenics , 2019 , 102 : 1 - 8 .

Pan Z J , Wei L J , Zheng M W , et al . A research on silver powder sinters for dilution refrigerator heat exchangers [J ] . IOP Conference Series: Materials Science and Engineering , 2022 , 1240 ( 1 ): 012050 .

Ghahremannezhad A , Vafai K . Thermal and hydraulic performance enhancement of microchannel heat sinks utilizing porous substrates [J ] . International Journal of Heat and Mass Transfer , 2018 , 122 : 1313 - 1326 .

Oda Y , Fujii G , Ono T , et al . Practical design of heat exchangers for dilution refrigerators: part 2 [J ] . Cryogenics , 1983 , 23 ( 3 ): 139 - 147 .

Rosenbaum R , Breuer A . Practical model for the design of step heat exchangers [J ] . Review of Scientific Instruments , 1982 , 53 ( 6 ): 897 - 904 .

Mitra I , Balasundaran G P , Ghosh I . Microchannel counter-current heat exchanger analysis highlighting equitability of conventional heat transfer theory in both macro and micro domains [J ] . Applied Thermal Engineering , 2022 , 216 : 119054 .

Vera M , Quintero A E . On the role of axial wall conduction in mini/micro counterflow heat exchangers [J ] . International Journal of Heat and Mass Transfer , 2018 , 116 : 840 - 857 .

Pan Z J , Zheng M W , Wei L J , et al . Theoretical analysis of the heat exchanger of a dilution refrigerator for space applications [J ] . Cryogenics , 2023 , 130 : 103645 .

Fagaly R L , Paulson D N . Dilution refrigerator performance [J ] . Cryogenics , 1992 , 32 ( 8 ): 711 - 714 .

Pradhan J , Das N K , Chakrabarti A . Transient phenomena initiating phase transition in dilution refrigerator [J ] . Cryogenics , 2014 , 63 : 69 - 76 .

Pradhan J , Das N K , Chakraborty A . Thermo-dynamical process simulation of dilution refrigerator [J ] . Cryogenics , 2013 , 57 : 158 - 165 .

Guan X , Fan J , Bian Y B , et al . An efficient numerical method for modeling silver powder heat exchanger in dilution refrigerator [J ] . Cryogenics , 2024 , 141 : 103891 .

Shang X S , Shao W , Wang R , et al . Numerical and thermal resistance analysis on the cryogenic porous medium heat exchanger with liquid channel [J ] . International Journal of Thermal Sciences , 2024 , 204 : 109217 .

Shang X S , Gong H , Zeng X X , et al . Effects of geometric structures on the sub-Kelvin porous media heat exchanger [J ] . International Journal of Refrigeration , 2024 , 160 : 207 - 216 .

Shang X S , Miao Z , Cao H Q , et al . Modeling on cryogenic heat exchangers considering variable properties, axial heat conduction and viscous heating [J ] . International Journal of Refrigeration , 2023 , 146 : 381 - 389 .

Frossati G . Obtaining ultralow temperatures by dilution of 3 He into 4 He [J ] . Le Journal de Physique Colloques , 1978 , 39 ( C6 ): C6-1578-C6 - 1589 .

Johnson R C , Little W A . Experiments on the kapitza resistance [J ] . Physical Review , 1963 , 130 ( 2 ): 596 - 604 .

Kapitza P L . Heat transfer and superfluidity of helium II [J ] . Physical Review , 1941 , 60 ( 4 ): 354 - 355 .

Chai L , Xia G D , Wang H S . Numerical study of laminar flow and heat transfer in microchannel heat sink with offset ribs on sidewalls [J ] . Applied Thermal Engineering , 2016 , 92 : 32 - 41 .

Pati S , Borah A , Boruah M P , et al . Critical review on local thermal equilibrium and local thermal non-equilibrium approaches for the analysis of forced convective flow through porous media [J ] . International Communications in Heat and Mass Transfer , 2022 , 132 : 105889 .

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

LTNE条件下界面对流传热系数对部分填充多孔介质通道传热特性的影响

平行流道PCHE芯体热-力耦合分析多尺度方法

微重力下液态金属钠沸腾传热特性模拟研究

长焰煤热解过程中孔的演变及其对挥发分传质影响

相变悬浮液射流冲击变形状多孔层覆盖壁面的热分析