On the spreading behavior of a droplet on a circular cylinder using the lattice Boltzmann method

doi:10.1088/1674-1056/ad3b7f

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 64702-064702.doi: 10.1088/1674-1056/ad3b7f

On the spreading behavior of a droplet on a circular cylinder using the lattice Boltzmann method

Fan Yang(杨帆)^1,2,†, Hu Jin(金虎)¹, and Mengyao Dai(戴梦瑶)¹

1 School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;
2 Shanghai Key Laboratory of Multiphase Flow and Heat Transfer in Power Engineering, Shanghai 200093, China

收稿日期:2023-12-12 修回日期:2024-03-08 接受日期:2024-04-07 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Fan Yang E-mail:usstyf@126.com

On the spreading behavior of a droplet on a circular cylinder using the lattice Boltzmann method

Fan Yang(杨帆)^1,2,†, Hu Jin(金虎)¹, and Mengyao Dai(戴梦瑶)¹

1 School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;
2 Shanghai Key Laboratory of Multiphase Flow and Heat Transfer in Power Engineering, Shanghai 200093, China

Received:2023-12-12 Revised:2024-03-08 Accepted:2024-04-07 Online:2024-06-18 Published:2024-06-18
Contact: Fan Yang E-mail:usstyf@126.com

摘要/Abstract

摘要： The study of a droplet spreading on a circular cylinder under gravity was carried out using the pseudo-potential lattice Boltzmann high-density ratios multiphase model with a non-ideal Peng-Robinson equation of state. The calculation results indicate that the motion of the droplet on the cylinder can be divided into three stages: spreading, sliding, and aggregating. The contact length and contact time of a droplet on a cylindrical surface can be affected by factors such as the wettability gradient of the cylindrical wall, the Bond number, and droplet size. Furthermore, phase diagrams showing the relationship between Bond number, cylinder wall wettability gradient, and contact time as well as maximum contact length for three different droplet sizes are given. A theoretical foundation for additional research into the heat and mass transfer process between the droplet and the cylinder can be established by comprehending the variable rules of maximum contact length and contact time.

关键词: lattice Boltzmann methods, droplet, circular cylinder, wettability gradient

Abstract: The study of a droplet spreading on a circular cylinder under gravity was carried out using the pseudo-potential lattice Boltzmann high-density ratios multiphase model with a non-ideal Peng-Robinson equation of state. The calculation results indicate that the motion of the droplet on the cylinder can be divided into three stages: spreading, sliding, and aggregating. The contact length and contact time of a droplet on a cylindrical surface can be affected by factors such as the wettability gradient of the cylindrical wall, the Bond number, and droplet size. Furthermore, phase diagrams showing the relationship between Bond number, cylinder wall wettability gradient, and contact time as well as maximum contact length for three different droplet sizes are given. A theoretical foundation for additional research into the heat and mass transfer process between the droplet and the cylinder can be established by comprehending the variable rules of maximum contact length and contact time.

Key words: lattice Boltzmann methods, droplet, circular cylinder, wettability gradient

中图分类号: (Multiphase flows)

47.61.Jd

61.30.Pq (Microconfined liquid crystals: droplets, cylinders, randomly confined liquid crystals, polymer dispersed liquid crystals, and porous systems) 47.11.Qr (Lattice gas) 02.60.Cb (Numerical simulation; solution of equations)

Fan Yang(杨帆), Hu Jin(金虎), and Mengyao Dai(戴梦瑶). On the spreading behavior of a droplet on a circular cylinder using the lattice Boltzmann method[J]. 中国物理B, 2024, 33(6): 64702-064702.

Fan Yang(杨帆), Hu Jin(金虎), and Mengyao Dai(戴梦瑶). On the spreading behavior of a droplet on a circular cylinder using the lattice Boltzmann method[J]. Chin. Phys. B, 2024, 33(6): 64702-064702.

参考文献

[1] Sayyari J M, Naghedifar A S and Esfahani J A 2020 J. Braz. Soc. Mech. Sci. Eng. 42 142
[2] Xu B, Min S Q, Pan D, Ni J C and Zhang Y J 2023 Colloids Surf. A 675 131974
[3] Li S P, Lai S J, Zhang R H and Guo Z G 2023 Chem. Eng. J. 470 143659
[4] Liu K Q, Fang K J, Chen W C, Zhang C M, Sun L Y and Zhu J L 2023 Int. J. Biol. Macromol. 224 1252
[5] Wang M Y, Shi F R, Zhao H Z, Sun F Y, Fang K J, Miao D G, Zhao Z H, Xie R Y and Chen W C 2022 J. Cleaner Prod. 362 132333
[6] Abolghasemibizaki M, McMasters R L and Mohammadi R 2018 J. Colloid Interface Sci. 521 17
[7] Huang C, Qian L J, Lv L, Huo B J, Zhu W and Wang Y S 2023 Exp. Therm. Fluid Sci. 144 110867
[8] Jin Z Y, Zhang H H and Yang Z G 2017 Int. J. Heat Mass Transfer 113 318
[9] Liu X, Min J C, Zhang X, Hu Z F and Wu X M 2021 Int. J. Multiphase Flow 141 103675
[10] Lu Y, Wang X M, Liu W P, Li E Z, Cheng F Q and Miller J D 2019 Fuel 253 273
[11] Wang Y L 2020 Appl. Surf. Sci. 516 146155
[12] Wang Y L, Wang Y X and Wang S R 2020 J. Colloid Sci. 578 207
[13] Li X X, Li H W, Zheng D and Wang Y X 2021 Colloids Surf. A 618 126493
[14] Luo J, Wu S Y, Xiao L and Chen Z L 2021 Int. J. Multiphase Flow 143 103774
[15] Luo J, Wu S Y, Xiao L and Chen Z L 2021 Int. J. Mech. Sci. 197 106333
[16] Shi K W, Huang J X and Duan X L 2024 Int. J. Therm. Sci. 196 108726
[17] Gai S L, Peng Z B, Moghtaderi B, Yu J L and Doroodchi E 2022 Comput. Fluids 246 105616
[18] Chai Z H, Guo X Y, Wang L and Shi B C 2019 Phys. Rev. E 99 023312
[19] Yang F, Yang H C, Yan Y H, Guo X Y, Dai R and Liu C Q 2017 J. Mech. Sci. Technol. 31 3053
[20] Wang N N, Liu H H and Zhang C H 2017 J. Rheol. 61 741
[21] Huang H B, Yang X, Krafczyk M and Lu X Y 2012 J. Fluid Mech. 692 369
[22] Huang H B, Yang X and Lu X Y 2014 Phys. Fluids 26 053302
[23] Shan X and Chen H 1993 Phys. Rev. E 47 1815
[24] Chen W Y, Yang F, Yan Y H, Guo X Y, Dai R and Cai X S 2018 J. Mech. Sci. Technol. 32 2637
[25] Gunstensen A K, Rothman D H, Zaleski S and Zanetti G 1991 Phys. Rev. A 43 4320
[26] Yang F, Shao X S, Wang Y, Lu Y S and Cai X S 2021 Eur. J. Mech. B. Fluids 86 90
[27] He X, Chen S and Doolen G D 1998 J. Comput. Phys. 146 282
[28] Sun M Y, Ang L, Zhang X J, Fei Y X, Zhu L and Huang Z 2023 J. Power Sources 587 233700
[29] Swift M R, Orlandini E, Osborn W R and Yeomans J M 1996 Phys. Rev. E 54 5041
[30] Gong J M, Oshima N and Tabe Y 2019 Comput. Math. Appl. 78 1166
[31] Zhumatay N, Kabdenova B, Monaco E and Rojas-solorzano L R 2021 Eur. J. Mech. B. Fluids 86 198
[32] Tilehboni S E M, Fattahi E, Afrouzi H H and Farhadi M 2015 J. Mol. Liq. 212 544
[33] An S Y, Zhan Y T, Mahani H and Niasar V 2022 Fuel 329 125294
[34] An X, Dong B, Li W Z, Zhou X and Sun T 2021 Comput. Math. Appl. 92 76
[35] Lin D J, Wang L, Wang X D and Yan W M 2019 Int. J. Heat Mass Transfer 132 1105
[36] Zhang L Z, Wang Y B, Gao S R, Lin D J, Yang Y R, Wang X D and Lee D J 2021 J. Taiwan Inst. Chem. Eng. 126 359
[37] Zhang L Z, Xu S Y, Wang Y F, Yang Y R, Zheng S F, Gao S R, Wang X D and Lee D J 2022 Langmuir 38 11860
[38] Zhang L Z, Chen X, Yang Y R and Wang X D 2023 Langmuir 39 6375
[39] Chen L, Gao M, Liang J, Wang D M, Hao L and Zhang L X 2022 Eng. Appl. Comp. Fluid 16 1796
[40] Gong S and Cheng P 2015 Int. J. Heat Mass Transfer 80 206
[41] Arsalan H, Abdolrahman D, Sajad R and Keivan M 2023 Theor. Comput. Fluid Dyn. 37 83
[42] Li Q, Luo K H and Li X J 2013 Phys. Rev. E 87 053301
[43] Yao J, Wang J F, Dong Q M, Wang D B, Zhang W, Xu H J and Zuo L 2022 Appl. Therm. Eng. 211 118517
[44] Zhang K X, Zhao J Y, Chen S, Wang Y X and Liu Y 2019 Appl. Surf. Sci. 486 337

On the spreading behavior of a droplet on a circular cylinder using the lattice Boltzmann method

On the spreading behavior of a droplet on a circular cylinder using the lattice Boltzmann method

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