Acta Physica Sinica, Volume. 68, Issue 21, 214703-1(2019)

Effect of surfactants on thin film spreading under influence of surface acoustic wave

Chun-Xi Li, Zhi-Xian Shi, Li-Yu Zhuang, and Xue-Min Ye*
Figures & Tables(13)
Schematic diagram of thin water film with surfactant on a SAW device: (a) Top view; (b) front view.放置在SAW器件上的含活性剂薄水膜示意图 (a)俯视图; (b)正视图
Spreading process when the drift of mass governs the film dynamics: (a) Film thickness; (b) surfactant concentration; (c) the position of the front xf and the rear xr of the liquid film; (d) maximal thickness and spreading radius of the liquid film.漂移流起主导作用, 考虑活性剂影响时水膜的铺展过程 (a)液膜厚度; (b)活性剂浓度; (c)液膜前缘xf与后缘xr; (d)最大厚度与铺展半径
Horizontal velocity contour within the film along with streamlines at different time: (a) t = 10; (b) t = 100.不同时刻下液膜内部的流线与水平方向分速度 (a) t = 10; (b) t = 100
Film profiles at different times during the drift governed spreading process with (blue line) and without (orange line) considering the effect of surfactant.漂移流主导时, 考虑活性剂影响和不考虑活性剂影响的液膜演化过程对比
Comparison between simulated and experimental[6] results for the variation of exponent n with dimensional time during the drift governed spreading process (the variation of the position of the front of the film with time accords to the power laws xf*~t*n).漂移流主导时, 幂指数n随时间t*的变化与Rezk等[6]的实验结果的对比(液膜前缘位置与时间满足规律xf*~t*n)
Comparison between simulated and experimental[7] results for the variation of dimensional velocity dxf*/dt* with U*2 during the drift governed spreading process漂移流主导时, 液膜前缘移动速度dxf*/dt*随U*2的变化与Rezk等[7]实验结果的对比
Spreading process when the equal effect of drift and the capillary stress is considered: (a) Film thickness; (b) surfactant concentration; (c) the position of the front xf and the rear xr of the liquid film; (d) maximal thickness and spreading radius of the liquid film.毛细力和漂移流作用相当, 考虑活性剂影响时水膜的铺展过程 (a)液膜厚度; (b)活性剂浓度; (c)液膜前缘xf与后缘xr; (d)液膜最大厚度hmax与铺展半径r
Film spreading when both the capillary stress and the drift govern the dynamics of the film with (blue line) and without (orange line) considering the effect of surfactant: (a) Maximal thickness of the liquid film; (b) spreading radius of the liquid film.考虑活性剂影响和不考虑活性剂影响的液膜演化过程对比 (a)液膜最大厚度; (b)液膜铺展半径
Comparison between simulated and experimental[8] results for the variation of velocity dxf/dt with θ3/We when both the capillary stress and the drift govern the dynamics of the film.漂移流和毛细力作用相当时, 液膜前缘移动速度的模拟结果和文献[8]的实验结果对比
Evolution of partially wetting film with different values of α: (a) Maximal thickness of the liquid film; (b) spreading radius of the liquid film.不同α下部分润湿薄液膜的铺展过程对比 (a)最大厚度; (b)铺展半径
Evolution of partially wetting film with different values of M: (a) Maximal thickness of the liquid film; (b) spreading radius of the liquid film.不同M下部分润湿薄液膜的铺展过程对比 (a)最大厚度; (b)铺展半径
  • Table 1. Order of magnitude estimates for dimensional parameters.

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    Table 1. Order of magnitude estimates for dimensional parameters.

    有量纲参数符号单位取值范围
    表面张力系数${\varSigma ^ * }$N·m2/mol 5 × 10–3
    液膜无活性剂时表面张力γ0*N/m0.072
    液体黏度μ*Pa·s0.001
    液体密度ρ*kg/m31000
    SAW速度振幅U*m/s0.1—0.26
    液膜最大厚度H*m10–7—9 × 10–6
    液膜特征长度L*m10–5—9 × 10–4
    临界胶束浓度Gm*mol/L0.0086
    初始时刻最大活性剂浓度G0*mol/L0.002—0.0086
    有量纲三相接触角θ*(º)3—28
    表面扩散系数Ds*m2/s 10–8—10–6
    黏性渗透长度${\delta ^ * }$m10–7
  • Table 2. Order of magnitude estimates for nondimensional parameters.

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    Table 2. Order of magnitude estimates for nondimensional parameters.

    无量纲参数定义取值范围
    无量纲预置液膜厚度hf0.1
    分离压稳定常数C0.5
    初始活性剂浓度的 最大值 G00.2—1
    厚度小量ε = (δ*/H*)1/30.22—1
    分离压与活性剂 浓度的相关系数 α–100—100
    无量纲三相接触角θ = θ*/120° 0.025—0.233
    Marangoni数$ M = \theta \varepsilon \varSigma ^ * G_m^ */{\rho ^ * }{\delta ^ * }{U^{ * 2} }$0.1—100
    Weber数We = ρ*U*2H*/γ0*10–5—5 × 10-3
    Reynolds数Re = ρ*U*δ*/μ*0.01—0.03
    Peclet数Pe = U*L*/Ds*1—1000
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Chun-Xi Li, Zhi-Xian Shi, Li-Yu Zhuang, Xue-Min Ye. Effect of surfactants on thin film spreading under influence of surface acoustic wave[J]. Acta Physica Sinica, 2019, 68(21): 214703-1

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Paper Information

Received: May. 23, 2019

Accepted: --

Published Online: Sep. 17, 2020

The Author Email:

DOI:10.7498/aps.68.20190791

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