Simulation and Experimental Research about Temperature Fields of PDMS Cooled by Liquid Nitrogen Jet Impingement

doi:10.3969/j.issn.1004-132X.2022.18.002

Abstract

Abstract: In order to explore the changes and distributions of the temperature of PDMS sample being impacted and cooled by the liquid nitrogen jet during the cryogenic micro-abrasive air jet machining the PDMS microchannels, this paper proposed a systematic research method of temperature that composed of temperature measurement experiments, Becks inverse estimation method fitting and APDL temperature field simulation. The errors between the final simulation results and the temperature measurement ones are only 1.735%. The simulations find that it will take 5.747 s for the surfaces to reach the obvious embrittlement temperature -147 ℃. PDMS may not reach a machinable embrittlement state at the moment of contact with liquid nitrogen， so it is necessary to pay attention to the pre-cooling time before machining. The simulation data was used to fit the cooling rate of PDMS to -147 ℃, and the cooling rate was used as a reference to predict the pre-cooling time required in the actual machining. By comparing the cooling rate, it is found that the cooling rate in the depth range of 0~100 μm from the surface of the PDMS specimen is 22.054% faster than that in the depth range of 0~1500 μm, and the cooling rate of the aluminum alloy workbench is about 22.311% higher than that of the adiabatic workbench.

Key words: , polydimethylsiloxane(PDMS), cryogenic micro-abrasive air jet, Becks inverse estimation method, APDL（ANSYS parametric design language） temperature field simulation

摘要： 为探究低温微磨料气射流加工聚二甲基硅氧烷（PDMS）微流道过程中PDMS试样受液氮射流冲击冷却的温度变化和分布，提出了测温实验Beck反求算法拟合APDL温度场仿真的系统研究方法，仿真结果与测温结果的误差仅1.735%。仿真发现，表面到达明显脆化温度-147 ℃需要5.747 s，说明PDMS无法在接触液氮的瞬间就达到可加工的脆化状态，有必要重视加工前的预冷却时间；又通过仿真数据拟合了PDMS冷却至-147 ℃的冷却速度，以冷却速度为参考预测了实际加工中所需的预冷却时间。对比冷却速度发现，距PDMS试样表面0~100 μm深度范围内的冷却速度比0~1500 μm深度范围内冷却速度快22.054%，PDMS试样放置在铝合金工作台上的冷却速度比绝热工作台上快22.311%。

关键词: 聚二甲基硅氧烷（PDMS）, 低温微磨料气射流, Beck反算法, APDL温度场仿真

CLC Number:

LIU Xu, SUN Yuli, ZHANG Guiguan, QIAN BingkunG, AO Hang, ZUO Dunwen. Simulation and Experimental Research about Temperature Fields of PDMS Cooled by Liquid Nitrogen Jet Impingement[J]. China Mechanical Engineering, 2022, 33(18): 2161-2171.

刘旭, 孙玉利, 张桂冠, 钱炳坤, 高航, 左敦稳. 液氮射流冲击冷却聚二甲基硅氧烷的温度场仿真和实验研究[J]. 中国机械工程, 2022, 33(18): 2161-2171.

References

［1］PREETI M, VIJAY G S, RAGHACENDRA K C, et al. Cryogenic Machining of Elastomers:a Review［J］. Machining Science and Technology, 2021, 25(3):477-525.
［2］KAKINUMA Y, KIDANI S, AOYAMA T. Ultra-precision Cryogenic Machining of Viscoelastic Polymers［J］. CIRP Annals— Manufacturing Technology, 2012, 61(1):79-82.
［3］张金豹,王永青,王凤彪,等.超低温条件下芳纶纤维复合材料的铣削加工性能［J］.机械工程材料, 2016, 40(10):65-69.
ZHANG Jinbao, WANG Yongqing, Wang Fengbiao, et al. Milling Property of Aramid Fiber Composite under Cryogenic Temperature Condition［J］. Materials for Mechanical Engineeringe, 2016, 40(10):65-69.
［4］SHIH A J, LEWIS M A, STRENKOWSKI J S. End Milling of Elastomers-fixture Design and Tool Effectiveness for Material Removal［J］. Journal of Manufacturing Science and Engineering, 2004, 126(1):115-123.
［5］LUO J, DDING H, SHIH A J. Induction-heated Tool Machining of Elastomers—Part 2:Chip Morphology, Cutting Forces, and Machined Surfaces［J］. Machining Science and Technology, 2005, 9(4):567-588.
［6］GETU H, SPELT J K, PAPINI M. Thermal Analysis of Cryogenically Assisted Abrasive Jet Micromachining of PDMS［J］. International Journal of Machine Tools and Manufacture, 2011, 51(9):721-730.
［7］娄元帅. PDMS低温微磨料气射流加工装置及实验研究［D］. 南京：南京航空航天大学, 2019.
LOU Yuanshuai. Research on Device and Experiment of Cryogenic Abrasive Air Jet Machining of PDMS［D］. Nanjing ：Nanjing University of Aeronautics and Astronautics, 2019.
［8］钱炳坤. 低温微磨料气射流加工微通道专用装置及实验研究［D］. 南京：南京航空航天大学, 2021.
QIAN Bingkun. Cryogenic Micro-abrasive Air Jet Machining Micro-channel Special Device and Experimental Research［D］. Nanjing： Nanjing University of Aeronautics and Astronautics, 2021.
［9］王岩, 陈俊杰. 对流换热系数测量及计算方法［J］. 液压与气动, 2016(4):14-20.
WANG Yan, CHEN Junjie. Measurement and Computation Methods of Convective Heat Transfer Coefficient［J］. Chinese Hydraulics & Pneumatics, 2016(4):14-20.
［10］常颖, 卢金栋, 靳菲, 等. 热成形中材料热物性参数对Beck反算KIHTC的影响［J］. 哈尔滨工业大学学报, 2015, 47(3):97-102.
CHANG Ying, LU Jindong, JIN Fei, et al. Influence of Thermal Properties on KIHTC in Hot Forming［J］. Journal of Harbin Institute of Technology, 2015,47(3):97-102.
［11］崔竞心. 基于第二类边界条件的导热系数反演方法研究［D］. 哈尔滨：哈尔滨工业大学, 2018.
CUI Jingxin. Research of Thermal Conductivity Inversion Method Based on the Second Kind of Boundary Conditions［D］. Harbin： Harbin Institute of Technology, 2018.
［12］WANG Y Q, DAI M H, LIU K, et al. Research on Surface Heat Transfer Mechanism of Liquid Nitrogen Jet Cooling in Cryogenic Machining［J］. Applied Thermal Engineering, 2020, 179:115607.
［13］刘佳欣. 超低温冷却加工切削区域温度场建模研究［D］. 大连：大连理工大学, 2020.
LIU Jiaxin. Modeling of Temperature Distribution at Cutting Area in Cryogenic Machining［D］. Dalian： Dalian University of Technology, 2020.
［14］SHAO X Y, PU L, TANG X, et al. Experimental Study of Transient Liquid Nitrogen Jet Impingement Boiling on Concrete Surface Using Inverse Conduction Problem Algorithm［J］. Process Safety and Environmental Protection, 2021, 147:45-54.
［15］SANTOS M V, SANSINENA M, CHIRIFE J, et al. Determination of Heat Transfer Coefficients in Plastic French Straws Plunged in Liquid Nitrogen［J］. Cryobiology, 2014, 69(3):488-495.
［16］LEQUIEN P, POULACHON G, OUTEIRO J C, et al. Hybrid Experimental/Modelling Methodology for Identifying the Convective Heat Transfer Coefficient in Cryogenic Assisted Machining［J］. Applied Thermal Engineering, 2018, 128:500-507.
［17］ZHANG G G, SUN Y L, QIAN B K, et al. Experimental Study on Mechanical Performance of Polydimethylsiloxane(PDMS) at Various Temperatures［J］. Polymer Testing, 2020, 90:106670.
［18］SANSINENA M, SANTOS M V, ZARITZKY N, et al. Numerical Simulation of Cooling Rates in Vitrification Systems Used for Oocyte Cryopreservation［J］. Cryobiology, 2011, 63(1):32-37.
［19］MARK E J. Physical Properties of Polymers Handbook［M］. Berlin：Springer, 2007:214.
［20］REESE W. Thermal Properties of Polymers at Low Temperatures［J］. Journal of Macromolecular Science, Part A, 1969, 3(7):1257-1295.
［21］WYPYVH G. Handbook of Polymers［M］. Toronto： ChemTec Publishing, 2012:328-332.
［22］CHUANG J N, DARR S R, DONG J, et al. Heat Transfer Enhancement in Cryogenic Quenching Process［J］. International Journal of Thermal Sciences, 2020, 147:106117.
［23］代钰莹. 低温液体地面泄漏液池汽化过程的实验研究［D］. 大连：大连理工大学, 2019.
DAI Yuying. Experimental Study on the Pool Vaporization Process of Cryogenic Liquid Leakage on Land［D］. Dalian ：Dalian University of Technology, 2019.
［24］ISSAM F, HAKIM A B, SAID A. Effect of Material and Geometric Parameters on Natural Convection Heat Transfer Over an Eccentric Annular-finned Tube［J］. International Journal of Ambient Energy, 2021, 42(8):929-939.
［25］李虹杨, 郑赟. 粗糙度对涡轮叶片流动转捩及传热特性的影响［J］.北京航空航天大学学报, 2016, 42(10):2038-2047.
LI Hongyang, ZHENG Yun. Effect of Surface Roughness on Flow Transition and Heat Transfer of Turbine Blade［J］. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10):2038-2047.
［26］王智慧. 湍流度和粗糙度对椭圆柱绕流流动及传热特性的影响研究［D］. 青岛：青岛科技大学, 2019.
WANG Zhihui. Influence of Turbulence and Surface Roughness on Flow and Heat Transfer of an Elliptical Cylinder［D］. Qingdao ：Qingdao University of Science & Technology, 2019.
［27］阮艺平. 铜表面物理化学特性对蒸汽冷凝传热特性的影响［D］. 上海：华东理工大学, 2012.
RUAN Yiping. Influence of Surface Physical and Chemical Properties on Heat Transfer Characteristics of Steam Condensation［D］. Shanghai：East China University of Science and Technology, 2012.
［28］SEARLE M, CROCKETT J, MAYNES D. Thermal Transport due to Liquid Jet Impingement on Superhydrophobic Surfaces with Isotropic Slip:Isoflux Wall［J］. International Journal of Heat and Mass Transfer, 2019, 140:518-532.
［29］ZHANG P, XU G H, Fu X, et al. Confined Jet Impingement of Liquid Nitrogen onto Different Heat Transfer Surfaces［J］. Cryogenics, 2010, 51(6):300-308.
［30］GRADEEN A G, SPELT J K, PAPINI M. Cryogenic Abrasive Jet Machining of Polydimethylsiloxane at Different Temperatures［J］. Wear, 2012， 274/275：335-344.
［31］ZHANG G G, SUN Y L, GAO H, et al. PDMS Material Embrittlement and Its Effect on Machinability Characteristics by Cryogenic Abrasive Air-jet Machining［J］. Journal of Manufacturing Processes, 2021, 67:116-127.
［32］MA Q, LIAO S L, MA Y C, et al. An Ultra-low-temperature Elastomer with Excellent Mechanical Performance and Solvent Resistance［J］. Advanced Materials, 2021，33（36）: 2102096.

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