氧化铝纳米流体液滴瞬态蒸发速率的演化特性分析

doi:10.16085/j.issn.1000-6613.2021-1808

摘要/Abstract

摘要：

以氧化铝纳米流体液滴为研究对象，本文建立了基于任意拉格朗日-欧拉（ALE）法的液滴蒸发瞬态模型，对液滴蒸发过程中蒸汽浓度、纳米颗粒浓度、温度等进行多物理场耦合，并考虑了Marangoni流对液滴蒸发的影响，同时研究还结合蒸发实验可视化结果，分析了氧化铝纳米流体液滴的瞬态蒸发速率随时间的演化规律，讨论了颗粒体积分数和基板温度对蒸发模式的影响。结果表明，在液滴蒸发过程开始时，纳米流体液滴保持定接触半径蒸发模式，气液界面面积逐渐减小，瞬态蒸发速率也呈逐渐减小的趋势；当颗粒体积分数增大至26%时，瞬态蒸发速率曲线达到驻点；蒸发接近完全时，由于Marangoni流影响了内部流场、强化了内部传热，且液滴在已沉积在基板上的颗粒表面形成液膜，瞬态蒸发速率迅速增大。

关键词: 蒸发, 数值模拟, 传热, 纳米流体, 液滴

Abstract:

The applications of nanofluid droplet evaporation play an important role in inkjet printing, chip manufacturing and medical diagnosis. An arbitrary Lagrangian-Euler (ALE) method was applied to transiently simulate the evaporation period of alumina nanofluid droplets. The physical fields of vapor concentration, nanoparticle concentration, temperature gradient and flow direction during the evaporation process were coupled and the effect of Marangoni flow inside the droplets was taken into consideration. Meanwhile, according to the visualization images of evaporation experiments, the evolution behavior of the transient evaporation rates of nanofluid droplets and the effects of particle concentration along with substrate temperature on the evaporation modes were analyzed and discussed, respectively. The results demonstrated that at the beginning of the evaporation process, the nanofluid droplets remained in the evaporation mode with constant contact radius, and the transient evaporation rates decreased gradually with the decrease of the gas-liquid interface area. In the middle stage of evaporation process, when the particle concentration increased to 26%, the transient evaporation rate curve reached the stationary point. Due to the influence of Marangoni flow on the internal flow field of the droplets, the internal heat transfer of droplets was enhanced as the evaporation process reached to the end. Moreover, the droplets formed a liquid film on the surface of the particles which had been deposited on the substrate, the transient evaporation rates of droplets raised rapidly therefore.

Key words: evaporation, numerical simulation, heat transfer, nanofluid, droplets

中图分类号:

TQ026.4

李钰璨, 胡定华, 刘锦辉. 氧化铝纳米流体液滴瞬态蒸发速率的演化特性分析[J]. 化工进展, 2022, 41(7): 3493-3501.

LI Yucan, HU Dinghua, LIU Jinhui. Evolution characteristics of transient evaporation rate of Al₂O₃ nanofluid droplet[J]. Chemical Industry and Engineering Progress, 2022, 41(7): 3493-3501.

图/表 11

图1 纳米流体液滴蒸发模型示意图

图2 纳米流体液滴网格划分结果

表1 网格无关性验证

网格数	最大单元尺寸/μm	蒸发速率最大相对偏差/%
18639	7.5	—
27779	5	1.03
34874	4	0.071

图3 实验装置图

图4 纯水液滴瞬态蒸发速率随时间的变化关系

图5 纳米流体液滴和纯水液滴的瞬态蒸发速率随时间变化关系

图6 瞬态蒸发速率与纳米颗粒体积分数的关系

图7 蒸发过程中液滴内部颗粒浓度分布的变化

图8 液滴内部温度场及流场分布

图9 不同基板温度条件下液滴的瞬态蒸发速率随时间变化关系

图10 不同基板温度条件下颗粒体积分数变化

参考文献 39

1	李英琪. 纳米流体动态润湿行为主动调控的力学机理研究[D]. 合肥: 中国科学技术大学, 2017.
	LI Yingqi. Mechanical mechanisms of active control of the dynamic wetting of nanofluid[D]. Hefei: University of Science and Technology of China, 2017.
2	CHOI S U S, EASTMAN J A. Enhancing thermal conductivity of fluids with nanoparticles[M]// SIGINER D A, WANG H P, Eds. Developments and applications of non-newtonian flows. New York: ASME, 1995, 66: 99-105.
3	李强. 纳米流体强化传热机理研究[D]. 南京: 南京理工大学, 2004.
	LI Qiang. Investigation on enhanced heat transfer of nanofluids[D]. Nanjing: Nanjing University of Science and Technology, 2004.
4	HU Z S, DONG J X. Study on antiwear and reducing friction additive of nanometer titanium borate[J]. Wear, 1998, 216(1): 87-91.
5	DIMITROV A S, NAGAYAMA K. Steady-state unidirectional convective assembling of fine particles into two-dimensional arrays[J]. Chemical Physics Letters, 1995, 243(5/6): 462-468.
6	RATHOD M K, BANERJEE J. Experimental investigations on latent heat storage unit using paraffin wax as phase change material[J]. Experimental Heat Transfer, 2014, 27(1): 40-55.
7	DEEGAN R D, BAKAJIN O, DUPONT T F, et al. Contact line deposits in an evaporating drop[J]. Physical Review E, 2000, 62(1): 756-765.
8	TRUEMAN R E, LAGO DOMINGUES E, EMMETT S N, et al. Auto-stratification in drying colloidal dispersions: a diffusive model[J]. Journal of Colloid and Interface Science, 2012, 377(1): 207-212.
9	LI Yingqi, WANG Fengchao, LIU He, et al. Nanoparticle-tuned spreading behavior of nanofluid droplets on the solid substrate[J]. Microfluidics and Nanofluidics, 2015, 18(1): 111-120.
10	LEBEDEV-STEPANOV P, VLASOV K. Simulation of self-assembly in an evaporating droplet of colloidal solution by dissipative particle dynamics[J]. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2013, 432: 132-138.
11	黄豆豆. 基于液滴蒸发的颗粒自组装机理及控制研究[D]. 北京: 北京林业大学, 2016.
	HUANG Doudou. Research on the mechanism and control of the particles self-assembly based on the droplet evaporation[D]. Beijing: Beijing Forestry University, 2016.
12	HU H, LARSON R G. Evaporation of a sessile droplet on a substrate[J]. The Journal of Physical Chemistry B, 2002, 106(6): 1334-1344.
13	陈剑楠, 欧阳小龙, 张震, 等. 一种研究液滴流动蒸发换热的数值方法[J]. 工程热物理学报, 2016, 37(3): 637-642.
	CHEN Jiannan, OUYANG Xiaolong, ZHANG Zhen, et al. A numerical model for simulating the droplet flow and evaporation[J]. Journal of Engineering Thermophysics, 2016, 37(3): 637-642.
14	TANGUY S, MÉNARD T, BERLEMONT A. A level set method for vaporizing two-phase flows[J]. Journal of Computational Physics, 2007, 221(2): 837-853.
15	谢驰宇, 张建影, 王沫然. 液滴在固体平表面上均匀蒸发过程的格子Boltzmann模拟[J]. 应用数学和力学, 2014, 35(3): 247-253.
	XIE Chiyu, ZHANG Jianying, WANG Moran. Lattice boltzmann simulation of droplet evaporation on flat solid surface[J]. Applied Mathematics and Mechanics, 2014, 35(3): 247-253.
16	HU H, LARSON R G. Analysis of the microfluid flow in an evaporating sessile droplet[J]. Langmuir, 2005, 21(9): 3963-3971.
17	杨开. 液滴和弯液面蒸发动力学特性的ALE模拟[D]. 上海: 上海交通大学, 2014.
	YANG Kai. Numerical simulation on hydrodynamic characteristics of sessile droplet and meniscus evaporation using arbitrary Lagrangian-Eulerian formulation[D]. Shanghai: Shanghai Jiao Tong University, 2014.
18	CAZABAT A M, GUÉNA G. Evaporation of macroscopic sessile droplets[J]. Soft Matter, 2010, 6(12): 2591.
19	SEMENOV S, STAROV V M, RUBIO R G, et al. Instantaneous distribution of fluxes in the course of evaporation of sessile liquid droplets: computer simulations[J]. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010, 372(1/2/3): 127-134.
20	GERKEN W J, THOMAS A V, KORATKAR N, et al. Nanofluid pendant droplet evaporation: experiments and modeling[J]. International Journal of Heat and Mass Transfer, 2014, 74: 263-268.
21	SEFIANE K, BENNACER R. Nanofluids droplets evaporation kinetics and wetting dynamics on rough heated substrates[J]. Advances in Colloid and Interface Science, 2009, 147/148: 263-271.
22	TRYBALA A, OKOYE A, SEMENOV S, et al. Evaporation kinetics of sessile droplets of aqueous suspensions of inorganic nanoparticles[J]. Journal of Colloid and Interface Science, 2013, 403: 49-57.
23	SOBAC B, BRUTIN D. Thermal effects of the substrate on water droplet evaporation[J]. Physical Review E, 2012, 86(2): 021602.
24	王宇, 潘振海. 水平及竖直基底上微小固着液滴的蒸发特性分析[J]. 化工进展, 2021, 40(7): 3632-3644.
	WANG Yu, PAN Zhenhai. Analysis of evaporation characteristics of small water droplets sessile on horizontal and vertical substrates[J]. Chemical Industry and Engineering Progress, 2021, 40(7): 3632-3644.
25	MOGHIMAN M, ASLANI B. Influence of nanoparticles on reducing and enhancing evaporation mass transfer and its efficiency[J]. International Journal of Heat and Mass Transfer, 2013, 61: 114-118.
26	PAK B C, CHO Y I. Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles[J]. Experimental Heat Transfer, 1998, 11(2): 151-170.
27	金铭, 胡定华, 李强, 等. Al₂O₃纳米流体液滴蒸发特性的数值模拟研究[J]. 化工学报, 2019, 70(11): 4199-4206.
	JIN Ming, HU Dinghua, LI Qiang, et al. Simulation of Al₂O₃nanofluid droplet evaporation characteristics[J]. CIESC Journal, 2019, 70(11): 4199-4206.
28	ANYFANTAKIS M, GENG Z, MOREL M, et al. Modulation of the coffee-ring effect in particle/surfactant mixtures: the importance of particle-interface interactions[J]. Langmuir, 2015, 31(14): 4113-4120.
29	胡定华, 刘诗雨. Al₂O₃纳米流体液滴撞击壁面的动力学行为数值研究[J]. 浙江大学学报(工学版), 2021, 55(5): 991-998.
	HU Dinghua, LIU Shiyu. Numerical study on dynamic behaviors of Al₂O₃ nanofluid droplet impacting on solid wall[J]. Journal of Zhejiang University (Engineering Science), 2021, 55(5): 991-998.
30	HAMILTON R L, CROSSER O K. Thermal conductivity of heterogeneous two-component systems[J]. Industrial & Engineering Chemistry Fundamentals, 1962, 1(3): 187-191.
31	TANVIR S, QIAO Li. Surface tension of Nanofluid-type fuels containing suspended nanomaterials[J]. Nanoscale Research Letters, 2012, 7(1): 226.
32	YANG Kai, HONG Fangjun, CHENG Ping. A fully coupled numerical simulation of sessile droplet evaporation using arbitrary Lagrangian-Eulerian formulation[J]. International Journal of Heat and Mass Transfer, 2014, 70: 409-420.
33	SEMENOV S, STAROV V M, RUBIO R G. Evaporation of pinned sessile microdroplets of water on a highly heat-conductive substrate: computer simulations[J]. The European Physical Journal Special Topics, 2013, 219(1): 143-154.
34	董佰扬, 单彦广, 翁志浩. 基于动态接触角的固着液滴蒸发过程模拟[J]. 动力工程学报, 2020, 40(12): 1002-1007.
	DONG Baiyang, SHAN Yanguang, WENG Zhihao. Simulation of sessile droplet evaporation based on dynamic contact angle[J]. Journal of Chinese Society of Power Engineering, 2020, 40(12): 1002-1007.
35	DUNN G J, WILSON S K, DUFFY B R, et al. A mathematical model for the evaporation of a thin sessile liquid droplet: comparison between experiment and theory[J]. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2008, 323(1/2/3): 50-55.
36	BHARDWAJ R, FANG Xiaohua, ATTINGER D. Pattern formation during the evaporation of a colloidal nanoliter drop: a numerical and experimental study[J]. New Journal of Physics, 2009, 11(7): 075020.
37	ROUTH A F, ZIMMERMAN W B. The diffusion coefficient of a swollen microgel particle[J]. Journal of Colloid and Interface Science, 2003, 261(2): 547-551.
38	SEMENOV S, STAROV V, RUBIO R G, et al. Computer simulations of quasi-steady evaporation of sessile liquid droplets[C]//Trends in Colloid and Interface Science ⅩⅩⅣ, 2011, 138: 115-120.
39	MAHBUBUL I M, SAIDUR R, AMALINA M A. Latest developments on the viscosity of nanofluids[J]. International Journal of Heat and Mass Transfer, 2012, 55(4): 874-885.

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