黏性对液滴偏心撞击旋转壁面铺展特性的影响

doi:10.7527/S1000-6893.2024.29847

Abstract

Abstract:

Droplet impact on the rotating wall widely exists in the engineering field， such as rain ingestion and ice accretion occurring on aircraft engines， which will lead to efficiency loss and even safety problems. Therefore， it is of great significance to study the impact of liquid droplets on the rotating wall. An experimental set-up of droplet impacting on a rotating disc is built and experiments are conducted and recorded with a high-speed camera. The effects of the rotating speed and viscosity on the droplet spreading after off-axis impact are studied while the droplet size， impact velocity， surface tension and impact position remain unchanged. The evolution of droplet diameter data along the radial and tangential directions was quantitatively obtained by post-processing the recoded images. The experimental results show that the radial-tangential spreading dynamic follows four different regimes with the rotational Bond number and rotational Reynolds number： impact inertia force-adhesion force， impact inertia force-adhesion force/viscous force transition， impact inertia force/centrifugal force transition-adhesion force， and impact inertia force-viscous force. In the impact inertial force dominant regime for the radial spreading， the maximum radial spreading factor decreases with the Ohnesorge number and the rotational Bond number， and the radial spreading factor evolves with the dimensionless time t/（Oh·T） by a -1/3 pow-law. In the tangential adhesion force dominant regime， the tangential spreading rate of droplets exhibits a 2/3 pow-law with the dimensionless time t/（Oh·T）. In the tangential viscosity force dominant mode， maximal spreading factors are reached in the tangential direction.

Key words: droplet impact, rotating wall, viscosity, rotating speed, off-axis impact, spreading factor

CLC Number:

V219

Wen YANG, Xinxi ZHANG, Xiangyu WANG, Chuanyang LIU, Yunbo ZHANG. Effect of liquid viscosity on droplet spreading after off⁃axis impact on rotating wall[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(16): 129847.

Figures/Tables 21

Fig.1

Table 1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Fig.16

Fig.17

Fig.18

Fig.19

Fig.20

References 34

1	RAN Q H， SU D Y， LI P， et al. Experimental study of the impact of rainfall characteristics on runoff generation and soil erosion［J］. Journal of Hydrology， 2012， 424： 99-111.
2	严红，陈福振. 航空发动机燃油雾化特性研究进展［J］. 推进技术， 2020， 41（9）： 2038-2058.
	YAN H， CHEN F Z. Review on fuel atomization in aeroengine［J］. Journal of Propulsion Technology， 2020， 41（9）： 2038-2058 （in Chinese）.
3	ZABLE J L. Splatter during ink jet printing［J］. IBM Journal of Research and Development， 1977， 21（4）： 315-320.
4	GOHARDANI O. Impact of erosion testing aspects on current and future flight conditions［J］. Progress in Aerospace Sciences， 2011， 47（4）： 280-303.
5	NIKOLAIDIS T， PILIDIS P. The effect of water ingestion on an axial flow compressor performance［J］. Proceedings of the Institution of Mechanical Engineers， Part G： Journal of Aerospace Engineering， 2014， 228（3）： 411-423.
6	HAMED A， TABAKOFF W C， WENGLARZ R V. Erosion and deposition in turbomachinery［J］. Journal of Propulsion and Power， 2006， 22（2）： 350-360.
7	陈光. 雨水对飞机发动机的影响［J］. 航空发动机， 2013， 39（4）： 1-4.
	CHEN G. Influence of rain on aeroengine［J］. Aeroengine， 2013， 39（4）： 1-4 （in Chinese）.
8	杜雁霞，李明，桂业伟，等. 飞机结冰热力学行为研究综述［J］. 航空学报， 2017， 38（2）： 520706.
	DU Y X， LI M， GUI Y W， et al. Review of thermodynamic behaviors in aircraft icing process［J］. Acta Aeronautica et Astronautica Sinica， 2017， 38（2）： 520706 （in Chinese）.
9	LI L K， LIU Y， HU H. An experimental study on dynamic ice accretion process over the surfaces of rotating aero-engine spinners［J］. Experimental Thermal and Fluid Science， 2019， 109： 109879.
10	袁庆浩，樊江，白广忱. 航空发动机内部冰晶结冰研究综述［J］. 推进技术， 2018， 39（12）： 2641-2650.
	YUAN Q H， FAN J， BAI G C. Review on ice crystal icing in aeroengine［J］. Journal of Propulsion Technology， 2018， 39（12）： 2641-2650 （in Chinese）.
11	YARIN A L. DROP IMPACT DYNAMICS： Splashing， spreading， receding， bouncing…［J］. Annual Review of Fluid Mechanics， 2006， 38： 159-192.
12	JOSSERAND C， THORODDSEN S T. Drop impact on a solid surface［J］. Annual Review of Fluid Mechanics， 2016， 48： 365-391.
13	LAGUBEAU G， FONTELOS M A， JOSSERAND C， et al. Spreading dynamics of drop impacts［J］. Journal of Fluid Mechanics， 2012， 713： 50-60.
14	SANJAY V， CHANTELOT P， LOHSE D. When does an impacting drop stop bouncing？［J］. Journal of Fluid Mechanics， 2023， 958： A26.
15	BUKSH S， MARENGO M， AMIRFAZLI A. Impacting of droplets on moving surface and inclined surfaces［J］. Atomization and Sprays， 2020， 30（8）： 557-574.
16	ZHANG X， ZHU Z B， ZHANG C Y， et al. Reduced contact time of a droplet impacting on a moving superhydrophobic surface［J］. Applied Physics Letters， 2020， 117（15）： 151602.
17	MELO F， JOANNY J F， FAUVE S. Fingering instability of spinning drops［J］. Physical Review Letters， 1989， 63（18）： 1958-1961.
18	屈冲. 液滴与旋转壁面的冲击动力学研究［D］. 哈尔滨：哈尔滨工业大学， 2020： 26-37.
	QU C. A study of impact dynamics of droplet on the rotating substrate［D］.Harbin： Harbin Institute of Technology， 2020： 26-37 （in Chinese）.
19	PAN Y M， WANG Z B， ZHAO X Y， et al. On axisymmetric dynamic spin coating with a single drop of ethanol［J］. Journal of Fluid Mechanics， 2022， 951： A30.
20	WANG M W， CHOU F C. Fingering instability and maximum radius at high rotational bond number［J］. Journal of the Electrochemical Society， 2001， 148（5）： G283.
21	POVAROV O A， NAZAROV O I， IGNAT’EVSKAYA L A， et al. Interaction of drops with boundary layer on rotating surface［J］. Journal of Engineering Physics， 1976， 31（6）： 1453-1456.
22	YUAN X F， LI J Y， ZHANG B. Effects of surface tension on drop impact on a horizontal rotating disk［J］. Applied Mechanics and Materials， 2012， 268-270： 1084-1093.
23	CHOU F C， ZEN T S， LEE K W. An experimental study of a water droplet impacting on a rotating wafer［J］. Atomization and Sprays， 2009， 19（10）： 905-916.
24	LI J Y， YUAN X F， HAN Q， et al. Impact patterns and temporal evolutions of water drops impinging on a rotating disc［J］. Proceedings of the Institution of Mechanical Engineers， Part C： Journal of Mechanical Engineering Science， 2012， 226（4）： 956-967.
25	MOGHTADERNEJAD S， JADIDI M， JOHNSON Z， et al. Droplet impact dynamics on an aluminum spinning disk［J］. Physics of Fluids， 2021， 33（7）： 072103.
26	MOGHTADERNEJAD S， JADIDI M， HANSON J， et al. Dynamics of droplet impact on a superhydrophobic disk［J］. Physics of Fluids， 2022， 34（6）： 062104.
27	周易，金哲岩，杨志刚. 液滴撞击移动及旋转表面过程研究综述［J］. 浙江大学学报（工学版）， 2023， 57（10）： 2060-2076.
	ZHOU Y， JIN Z Y， YANG Z G. Review on droplets impact process on moving and rotating surfaces［J］. Journal of Zhejiang University （Engineering Science）， 2023， 57（10）： 2060-2076 （in Chinese）.
28	LI J X， ZHANG H， LIU Q F， et al. Dynamics of a single droplet with different viscosity impact onto a stainless-steel surface［J］. IOP Conference Series： Earth and Environmental Science， 2018， 188： 012028.
29	QIN M X， TANG C L， TONG S Q， et al. On the role of liquid viscosity in affecting droplet spreading on a smooth solid surface［J］. International Journal of Multiphase Flow， 2019， 117： 53-63.
30	KAI R G， FEUILLEBOIS F. Influence of surface roughness on liquid drop impact［J］. Journal of Colloid and Interface Science， 1998， 203（1）： 16-30.
31	EXTRAND C W， GENT A N. Retention of liquid drops by solid surfaces［J］. Journal of Colloid and Interface Science， 1990， 138（2）： 431-442.
32	ŠIKALO， TROPEA C， GANIĆ E N. Dynamic wetting angle of a spreading droplet［J］. Experimental Thermal and Fluid Science， 2005， 29（7）： 795-802.
33	岳浩. 视频检测中的相机标定方法研究［D］. 武汉：华中科技大学， 2012： 7-23.
	YUE H. Research on camera calibration method in video detection［D］.Wuhan： Huazhong University of Science and Technology， 2012： 7-23 （in Chinese）.
34	BARTOLO D， JOSSERAND C， BONN D. Retraction dynamics of aqueous drops upon impact on non-wetting surfaces［J］. Journal of Fluid Mechanics， 2005， 545： 329-338.

实验工质	实验温度T/℃	密度ρ/（kg·m^-3）	黏度μ/（Pa·s）	表面张力σ/（N·m^-1）	奥内佐格数Oh
水	22.1	997	9×10^-4	0.072	6.9×10^-4
G3W7	23.6	1 074	2.2×10^-3	0.070	1.6×10^-3
G5W5	24.5	1 120	5.7×10^-3	0.068	4.2×10^-3
G6W4	26.7	1 154	8.3×10^-3	0.067	6.1×10^-3
G7W3	27.1	1 178	1.64×10^-2	0.066	1.1×10^-2
G8W2	25.3	1 208	6.20×10^-2	0.065	4.5×10^-2
甘油	26.3	1 256	7.615×10^-1	0.062	5.6×10^-1

[1]	Tianxiang GAO, Zhenbing LUO, Xiangrong JING, Wenjie FENG, Yan ZHOU, Pan CHENG. Suppression of droplet impact freezing on superhydrophobic surfaces using dual synthetic jets [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(18): 131838-131838.
[2]	Junjie FU, Feng QU, Di SUN. Integrated design of waverider forebody and inward-turning inlet considering viscous effect under given flowfield distribution [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(14): 131451-131451.
[3]	Dazhi SHI, Weimin SANG, Shijie LI, Bo AN. Numerical simulation of water droplet impact characteristics on icing surfaces based on LBM [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S2): 729192-729192.
[4]	Shaokai ZHU, Dinghua HU, Qiang LI. Effects of vibration on spreading characteristics of droplet impacting on surface [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(16): 127911-127911.
[5]	Yatian ZHAO, Zhiyuan SHAO, Chao YAN, Xinghao XIANG. Comparative analysis of Reynolds stress and eddy viscosity models in separation flow prediction [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(11): 127619-127619.
[6]	WANG Xinguang, MAO Meiliang, HE Kun, CHEN Qi, WAN Zhao. Application of wall function to supersonic turbulence simulation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 126153-126153.
[7]	ZHANG Haoyuan, SUN Dong, QIU Bo, ZHU Yandan, WANG Anling. Influence of turbulent kinetic energy on shock wave/boundary layer interaction [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(7): 125504-125504.
[8]	WU Hangkong, WANG Dingxi, HUANG Xiuquan, XU Shenren. Influence of “frozen viscosity assumption” on solution and gradient accuracy of adjoint system [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(7): 125512-125512.
[9]	SHU Bowen, DU Yiming, GAO Zhenghong, XIA Lu, CHEN Shusheng. Numerical simulation of Reynolds stress model of typical aerospace separated flow [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(11): 526385-526385.
[10]	DONG Haitao, LIU Dingsong. Implicit scheme for viscosity item of Navier-Stokes equations with pseudo-viscosity method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(7): 2186-2196.
[11]	XIAO Hong, SHANG Yuhe, WU Di, SHI Yangyang. Nonlinear coupled constitutive relations and its validation for rarefied gas flows [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(7): 2091-2104.
[12]	WANG Zhen-qing;ZHOU Bo;LIANG Wen-yan;WANG Ji-bin;WANG Yong-jun. Tip Stress Field of Mode II Crowing Steadily in Elastic-Viscoplastic Materials [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2006, 27(3): 440-443.
[13]	SHI Feng;DUAN Yue-xin;ZENG Xiu-ni;LIANG Zhi-yong;ZHANG Zuo-guang. Rheological Behaviors and Viscosity Model of Bisphnol-A Epoxy/DDS Resin System [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2005, 26(5): 610-616.
[14]	He Long-de. ANALYTICAL EXPRESSION OF DISSIPATION INTEGRAL FOR KINETIC ENERGY INTEGRAL EQUATION [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1993, 14(1): 76-79.

Effect of liquid viscosity on droplet spreading after off⁃axis impact on rotating wall

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 21

References 34

Related Articles 14

Recommended Articles

Metrics

Comments