均质斜面上滑动液滴SPH模拟和理论分析

Sliding Droplet on a Homogeneous Inclined Surface Based on SPH Simulations and Analytical Methods

  • 摘要: 本文使用光滑粒子流体动力学(SPH)模拟和理论推导相结合的方法研究液滴在均质斜面上的滑动行为。利用三维液滴在均质平板上滑动的实验数据对SPH模拟的准确性进行验证。通过液滴滑动摩擦方程建立均质斜面上液滴速度关于时间的解析式,并利用SPH模拟验证了其对于不同的固液气参数组合均成立。通过Voinov–Cox模型和Furmidge–Kawasaki方程建立了液滴滑动摩擦系数关于接触角的解析式,SPH模拟结果表明:其对于不同气液相参数组合均成立。通过该解析式可以预测液滴在不同固体表面上的滑动摩擦系数和速度,减少模拟和实验工作量。本工作对后续滑动液滴的研究有一定的指导意义。

     

    Abstract: This work integrates Smooth Particle Hydrodynamics (SPH) simulations and analytical methods to study the sliding behavior of a droplet on a homogeneous inclinded surface. At first, based on the experimental data of a 3D droplet on the homogeneous inclinded surface we validate the accuracy of SPH simulations. Furthermore, we derive the analytical expression of the droplet velocity with respect to time using droplet friction equation, and it is verified by SPH simulations that the analytical expression holds for different combinations of solid, droplet and gas phases. Subsequently, we derive the analytical expression of the droplet sliding friction coefficient with respect to contact angle using the Voinov-Cox model and Furmidge-Kawasaki equation, and it is verified that the analytical expression holds for different combinations of droplet and gas phases. Based on these analytical expressions, we can predict droplet sliding friction coefficient and droplet velocity on different wall characteristics and reduce the workload of simulation and experimentation. This work has great potential significance for the theoretical research and experimental study of droplets.

     

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