In this paper, the dynamic behavior of a self-propelled droplet along a conical fiber is simulated by using an improved lattice Boltzmann color-gradient method. This method is developed on the basis of our recently developed density ratio model [Zhang et al., Int. Commun. Heat Mass Transfer, 137, 106284 (2022).], but a wetting boundary condition is added to account for the moving contact line on an arbitrary solid surface. First, this method is validated against the analytical droplet shapes and contact angles for droplets surrounded by matrix fluids of different densities on flat and spherical surfaces, and the spontaneous transport of a droplet on a conical fiber. This method is then adopted to systematically study the effects of the Bond number ( ), surface wettability ( ), cone hemi-angle ( ), and droplet volume on the droplet dynamic behavior. In each case, the results show that the droplet climbing velocity first increases and then decreases, and a velocity fluctuation is observed, which is due to that the apparent receding and advancing contact angles do not simultaneously reach the equilibrium contact angle. As droplet volume increases, the equilibrium droplet height monotonically increases. As or increases, the droplet climbing height and the wetting area both decrease. We also found that the equilibrium climbing height first increases and then decreases with , and its maximum is reached around .
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August 2023
Research Article|
August 22 2023
The dynamic behavior of a self-propelled droplet on a conical fiber: A lattice Boltzmann study
Jinggang Zhang (张静刚)
;
Jinggang Zhang (张静刚)
a)
(Writing – original draft, Writing – review & editing)
1
School of Building Services Science and Engineering, Xi'an University of Architecture and Technology
, Xi'an 710055, China
a)Authors to whom correspondence should be addressed: jinggangzhang@stu.xjtu.edu.cn and chenliguo@suda.edu.cn
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Hao Shen (申浩);
Hao Shen (申浩)
(Writing – original draft, Writing – review & editing)
2
School of Mechanical and Electric Engineering, Jiangsu Provincial Key Laboratory of Advanced Robotics, Soochow University
, Suzhou 215100, China
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Haihang Cui (崔海航);
Haihang Cui (崔海航)
(Methodology, Writing – review & editing)
1
School of Building Services Science and Engineering, Xi'an University of Architecture and Technology
, Xi'an 710055, China
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Li Chen (陈力)
;
Li Chen (陈力)
(Methodology, Writing – review & editing)
1
School of Building Services Science and Engineering, Xi'an University of Architecture and Technology
, Xi'an 710055, China
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Liguo Chen (陈立国)
Liguo Chen (陈立国)
a)
(Methodology, Writing – review & editing)
2
School of Mechanical and Electric Engineering, Jiangsu Provincial Key Laboratory of Advanced Robotics, Soochow University
, Suzhou 215100, China
a)Authors to whom correspondence should be addressed: jinggangzhang@stu.xjtu.edu.cn and chenliguo@suda.edu.cn
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a)Authors to whom correspondence should be addressed: jinggangzhang@stu.xjtu.edu.cn and chenliguo@suda.edu.cn
Physics of Fluids 35, 082119 (2023)
Article history
Received:
June 25 2023
Accepted:
August 06 2023
Citation
Jinggang Zhang, Hao Shen, Haihang Cui, Li Chen, Liguo Chen; The dynamic behavior of a self-propelled droplet on a conical fiber: A lattice Boltzmann study. Physics of Fluids 1 August 2023; 35 (8): 082119. https://doi.org/10.1063/5.0164908
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