过冷水-壁面接触面积对冰成核行为影响实验研究

doi:10.16183/j.cnki.jsjtu.2023.569

摘要/Abstract

摘要：

认知过冷水与固体表面接触对冰成核过程的影响对过冷物质储运以及防冰表面设计等工程应用非常关键,而接触面积变化对冰成核的影响尚不明确,尤其是当接触面积较大时.通过改变硅胶管和聚氯乙烯(PVC)纤维增强软管的长度改变过冷水与壁面接触面积的方式,研究了接触面积对结冰温度的影响.实验结果表明,接触面积变化将显著影响过冷水的结冰温度.根据所得变化规律建立了接触面积-过冷度预测模型,并利用实验结果对经典成核理论中的面积项进行了修正.修正后的成核率预测结果与实验中面积增长对成核的影响基本一致,且接触面积对成核率的影响并非目前认为的线性,而呈非线性.研究方法和所提出的模型为未来工程中过冷水的利用以及接触面积变化影响成核过程的进一步研究奠定了良好的基础.

关键词: 过冷水, 异质冰成核, 接触面积, 成核预测, 修正模型

Abstract:

Understanding the influence of the contact area between supercooled water and surface on the nucleation is critical for engineering applications such as anti-icing surface design and the supercooling preservation. However, the effect of contact area between supercooled water and surface on the nucleation still remains unclear, especially when the contact area is large. Therefore, the influence of the contact area on the freezing temperature of supercooled water inside the hose was experimentally studied by changing the length of silicone and polyvinyl chloride (PVC)-reinforced hoses. The results show that variations in contact area significantly affect the freezing temperature of supercooled water. Based on experimentally observed trends, a predictive model for contact area-supercooling relationship was developed. Furthermore, the area term in the classical nucleation theory (CNT) was modified using the experimental data. The modified nucleation rate predictions align well with the experimental findings regarding the influence of increasing contact area on nucleation. Notably, the effect of contact area on nucleation rate was found to be nonlinear, contrary to the commonly assumed linear relationship. The research methodology and the proposed model in this paper provide a solid foundation for future applications of supercooled water in engineering, as well as for further investigation into the role of contact area in nucleation phenomena.

Key words: supercooled water, heterogenous ice nucleation, contact area, prediction of nucleation, modified model

中图分类号:

陆晨律, 王利平, 孟航飞, 刘洪, 王福新. 过冷水-壁面接触面积对冰成核行为影响实验研究[J]. 上海交通大学学报, 2025, 59(8): 1145-1155.

LU Chenlü, WANG Liping, MENG Hangfei, LIU Hong, WANG Fuxin. Ice Nucleation Behavior in Supercooled Water with Varying Wall Contact Area[J]. Journal of Shanghai Jiao Tong University, 2025, 59(8): 1145-1155.

图/表 17

图1

图2

图3

图4

图5

图6

图7

图8

表1

图9

图10

表2

表3

表4

图11

表5

图12

参考文献 39

[1]	ROSENFELD D, WOODLEY W L. Deep convective clouds with sustained supercooled liquid water down to -37.5 ℃[J]. Nature, 2000, 405(6785): 440-442.
[2]	KALIKMANOV V I. Nucleation theory[M]. Dordrecht, Netherlands: Springer Netherlands, 2013.
[3]	KARTHIKA S, RADHAKRISHNAN T K, KALAICHELVI P. A review of classical and nonclassical nucleation theories[J]. Crystal Growth & Design, 2016, 16(11): 6663-6681.
[4]	HUANG H, YARMUSH M L, USTA O B. Long-term deep-supercooling of large-volume water and red cell suspensions via surface sealing with immiscible liquids[J]. Nature Communications, 2018, 9(1): 3201-3210. doi: 10.1038/s41467-018-05636-0 pmid: 30097570
[5]	LIU D, XU C, GUO C, et al. Sub-zero temperature preservation of fruits and vegetables: A review[J]. Journal of Food Engineering, 2020, 275: 109881.
[6]	HU R, ZHANG C, ZHANG X, et al. Research status of supercooled water ice making: A review[J]. Journal of Molecular Liquids, 2022, 347: 118334.
[7]	IRAJIZAD P, NAZIFI S, GHASEMI H. Icephobic surfaces: Definition and figures of merit[J]. Advances in Colloid and Interface Science, 2019, 269: 203-218. doi: S0001-8686(18)30331-2 pmid: 31096074
[8]	SHAMSEDDINE I, PENNEC F, BIWOLE P, et al. Supercooling of phase change materials: A review[J]. Renewable and Sustainable Energy Reviews, 2022, 158: 112172.
[9]	ANDERSON M W, BENNETT M, CEDENO R, et al. Understanding crystal nucleation mechanisms: Where do we stand? General discussion[J]. Faraday Discuss, 2022, 235: 219-272. doi: 10.1039/d2fd90021a pmid: 35789238
[10]	POWELL-PALM M J, KOH-BELL A, RUBINSKY B. Isochoric conditions enhance stability of metastable supercooled water[J]. Applied Physics Letters, 2020, 116(12): 123702.
[11]	WANG L, KONG W, WANG F, et al. Temperature-gradient effects on heterogeneous ice nucleation from supercooled water[J]. AIP Advances, 2019, 9(12): 125122.
[12]	WANG L, KONG W, BIAN P, et al. Suppression of ice nucleation in supercooled water under temperature gradients[J]. Chinese Physics B, 2021, 30(6): 068203.
[13]	SAITO A, OKAWA S, TOJIKI A, et al. Fundamental research on external factors affecting the freezing of supercooled water[J]. International Journal of Heat and Mass Transfer, 1992, 35(10): 2527-2536.
[14]	DALVI-ISFAHAN M, HAMDAMI N, XANTHAKIS E, et al. Review on the control of ice nucleation by ultrasound waves, electric and magnetic fields[J]. Journal of Food Engineering, 2017, 195: 222-234.
[15]	GUERREIRO B M, CONSIGLIO A N, RUBINSKY B, et al. Enhanced control over ice nucleation stochasticity using a carbohydrate polymer cryoprotectant[J]. ACS Biomaterials Science & Engineering, 2022, 8(5): 1852-1859.
[16]	WANG L, WANG F, LU C, et al. Nucleation in supercooled water triggered by mechanical impact: Experimental and theoretical analyses[J]. Journal of Energy Storage, 2022, 52: 104755.
[17]	ZHANG Z, LIU X Y. Control of ice nucleation: Freezing and antifreeze strategies[J]. Chemical Society Reviews, 2018, 47(18): 7116-7139. doi: 10.1039/c8cs00626a pmid: 30137078
[18]	LIU Y, MOEVIUS L, XU X, et al. Pancake bouncing on superhydrophobic surfaces[J]. Nature Physics, 2014, 10(7): 515-519. doi: 10.1038/nphys2980 pmid: 28553363
[19]	PRUPPACHER H R, KLETT J D. Microphysics of clouds and precipitation[M]. 2nd ed. Dordrecht, Netherlands: Springer Netherlands, 2010.
[20]	ICKES L, WELTI A, HOOSE C, et al. Classical nucleation theory of homogeneous freezing of water: Thermodynamic and kinetic parameters[J]. Physical Chemistry Chemical Physics, 2015, 17(8): 5514-5537. doi: 10.1039/c4cp04184d pmid: 25627933
[21]	ZHANG X, LIU X, WU X, et al. Experimental investigation and statistical analysis of icing nucleation characteristics of sessile water droplets[J]. Experimental Thermal and Fluid Science, 2018, 99: 26-34.
[22]	INADA T, TOMITA H, KOYAMA T. Ice nucleation in water droplets on glass surfaces: From micro-to macro-scale[J]. International Journal of Refrigeration, 2014, 40: 294-301.
[23]	ALTOHAMY A A, ELSEMARY I M M, ABDO S, et al. Encapsulation surface roughness effect on the performance of cool storage systems[J]. Journal of Energy Storage, 2020, 28: 101279.
[24]	王利平. 面向飞机结冰环境模拟的过冷大水滴可控发生原理研究[D]. 上海: 上海交通大学, 2021.
	WANG Liping. The principle of controllable generation of supercooled large water droplets for simulation of aircraft icing conditions[D]. Shanghai: Shanghai Jiao Tong University, 2021.
[25]	LI K, XU S, SHI W, et al. Investigating the effects of solid surfaces on ice nucleation[J]. Langmuir, 2012, 28(29): 10749-10754. doi: 10.1021/la3014915 pmid: 22741592
[26]	FU Q T, LIU E J, WILSON P, et al. Ice nucleation behaviour on sol-gel coatings with different surface energy and roughness[J]. Physical Chemistry Chemical Physics, 2015, 17(33): 21492-21500. doi: 10.1039/c5cp03243a pmid: 26220055
[27]	GURGANUS C, KOSTINSKI A B, SHAW R A. Fast imaging of freezing drops: No preference for nucleation at the contact line[J]. The Journal of Physical Chemistry Letters, 2011, 2(12): 1449-1454.
[28]	KAR A, BHATI A, LOKANATHAN M, et al. Faster nucleation of ice at the three-phase contact line: Influence of interfacial chemistry[J]. Langmuir, 2021, 37(43): 12673-12680.
[29]	YUDONG L, JIANGQING W, CHUANGJIAN S, et al. Nucleation rate and supercooling degree of water-based graphene oxide nanofluids[J]. Applied Thermal Engineering, 2017, 115: 1226-1236.
[30]	YOUNG S W, VAN SICKLEN W J. The mechanical stimulus to crystallization[J]. Journal of the American Chemical Society, 1913, 35(9): 1067-1078.
[31]	SHARDT N, ISENRICH F N, WASER B, et al. Homogeneous freezing of water droplets for different volumes and cooling rates[J]. Physical Chemistry Chemical Physics, 2022, 24(46): 28213-28221. doi: 10.1039/d2cp03896j pmid: 36413087
[32]	SEELEY L H, SEIDLER G T. Two-dimensional nucleation of ice from supercooled water[J]. Physical Review Letters, 2001, 87(5): 055702.
[33]	EBERLE P, TIWARI M K, MAITRA T, et al. Rational nanostructuring of surfaces for extraordinary icephobicity[J]. Nanoscale, 2014, 6(9): 4874-4881. doi: 10.1039/c3nr06644d pmid: 24667802
[34]	JUNG S, TIWARI M K, DOAN N V, et al. Mechanism of supercooled droplet freezing on surfaces[J]. Nature Communications, 2012, 3(1): 615.
[35]	ZOBRIST B, KOOP T, LUO B P, et al. Heterogeneous ice nucleation rate coefficient of water droplets coated by a nonadecanol monolayer[J]. The Journal of Physical Chemistry C, 2007, 111(5): 2149-2155.
[36]	COOPER S J, NICHOLSON C E, LIU J. A simple classical model for predicting onset crystallization temperatures on curved substrates and its implications for phase transitions in confined volumes[J]. The Journal of Chemical Physics, 2008, 129(12): 124715.
[37]	NIEDERMEIER D, SHAW R A, HARTMANN S, et al. Heterogeneous ice nucleation: Exploring the transition from stochastic to singular freezing behavior[J]. Atmospheric Chemistry and Physics, 2011, 11(16): 8767-8775.
[38]	FITZNER M, PEDEVILLA P, MICHAELIDES A. Predicting heterogeneous ice nucleation with a data-driven approach[J]. Nature Communications, 2020, 11(1): 4777. doi: 10.1038/s41467-020-18605-3 pmid: 32963232
[39]	SOSSO G C, CHEN J, COX S J, et al. Crystal nucleation in liquids: Open questions and future challenges in molecular dynamics simulations[J]. Chemical Reviews, 2016, 116(12): 7078-7116. doi: 10.1021/acs.chemrev.5b00744 pmid: 27228560

管道材质	a	b	c
硅胶	-13.525 11	-0.002 82	0.020 78
PVC	-13.368 30	0.002 38	0.028 76

管道材质	lg J₀	f
硅胶	0.441 52	0.014 73
PVC	0.771 53	0.017 85

A_exp/m²	T_MED/℃	A_V/m²	ln A_V
6.28×10^-3	-19.20	6.28×10^-3	-5.07
8.17×10^-3	-18.43	3.63×10⁰	1.29
1.01×10^-2	-15.75	5.30×10¹³	31.60
1.26×10^-2	-15.65	2.32×10¹⁴	33.08
2.51×10^-2	-13.90	1.34×10²⁸	64.77
6.28×10^-2	-13.67	2.36×10³⁰	69.94
1.01×10^-1	-13.93	6.99×10²⁷	64.11

A_exp/m²	T_MED/℃	A_V/m²	ln A_V
5.03×10^-3	-17.50	5.03×10^-3	-5.29
6.28×10^-3	-18.00	1.02×10^-4	-9.19
1.26×10^-2	-15.55	1.32×10⁶	14.10
2.51×10^-2	-13.95	1.30×10¹⁶	37.10
6.28×10^-2	-13.78	3.00×10¹⁷	40.24
1.01×10^-1	-13.90	7.31×10¹⁶	38.83

管道材质	u	v
硅胶	77.13	-0.53
PVC	42.62	-0.28