基于Surface Evolver模拟液桥断裂距离
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国家自然科学基金资助项目(10902015),高等学校博士学科专项科研基金(20091101120001)


Rupture distance of liquid bridge based on Surface Evolver simulation
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    摘要:

    目的 研究面间液桥断裂距离随着液桥体积、球面半径和固 液接触角的变化规律。方法 利用Surface Evolver程序模拟介于球形表面和平面间一定体积液桥的拉伸、断裂的演变过程,从模拟结果中得到给定液桥体积、球面半径以及固体表面润湿性质这些参数下的液桥的断裂距离。结果 以Lian等和Willett等所给出公式为基础得到液桥断裂距离关于参数液体体积、球面半径和接触角的理论公式,模拟结果与理论预测结果比较,发现当固体表面为亲水性质时,模拟结果与理论结果整体上吻合很好(偏差<4.3%);当固体表面为疏水性质时,模拟结果随着疏水性质的增加与理论估计的偏差会增大。结论 Surface Evolver可以很好地模拟液桥准静态拉伸和断裂过程,从而得到液桥断裂距离。Lian等和Willett等所给出的理论公式是由亲水表面数据拟合出来的,这也是在疏水性质表面上本文所给液桥断裂距离的理论公式预测结果与模拟结果偏差增大的原因。

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    Objective To study the variation of rupture distance of liquid bridge with different liquid volume, spherical radius and solid-liquid contact angle. Methods The process of stretching and rupture of liquid bridge between a sphere and a plane was simulated by Surface Evolver program. The rupture distance of liquid bridge which depended on the liquid volume, radius of sphere and wetting property of surface was calculated from the simulation. Results The theoretical formula of rupture distance which was related to the liquid volume, spherical radius and contact angle was derived based on the formula given by Lian and Willett, et al. The simulation result was in agreement with the theoretical result when the solid surface was hydrophilic (error <4.3%); when the solid surface was hydrophobic, the error between the simulation and theoretical results showed to be greater with the hydrophobicity enhanced. Conclusions The quasi-static process of stretching and rupture of liquid bridge can be well simulated by Surface Evolver program and the rupture distance can be given accurately from the simulation result. The error between the simulation and theoretical results in rupture distance on the hydrophobic surface appeared significantly increasing, because the formula given by Lian and Willett, et al was derived from data based on the hydrophilic surface.

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于洋,王学卫,吴群.基于Surface Evolver模拟液桥断裂距离[J].医用生物力学,2011,26(5):436-440

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  • 收稿日期:2011-09-01
  • 最后修改日期:2011-09-25
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