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SURFACE TENSION MODEL USING INTER-PARTICLE FORCE IN PARTICLE METHOD

机译:使用颗粒法中粒子力的表面张力模型

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Moving particle semi-implicit(MPS) method is widely used for the free surface flow analysis. In small scale problems, the surface tension is dominant. There are two approaches to calculate surface tension in particle methods. One is based on continuum mechanics governing equation which needs the normal vector and the curvature calculation. However, it requires complex formulation. The other is introducing inter-particle potential force. It is known that surface tension can be deduced from inter-molecular force. We propose inter-particle force whose potential is similar to the molecular potential. We reveal the inter-relation between this potential force and the surface tension coefficient used in continuum mechanics. The surface tension can be calculated using this inter-particle potential force. The oscillation cycle roughly agrees with the theoretical value. It is also important to introduce the contact angle to the solid wall, as well as the surface tension. The inter-particle force is also available to model the contact angle. The potential force ratio between fluid-fluid and fluid-wall can be derived from Young's equation. Using this theoretical ratio of potential force, a larger contact angle appears, if we give a smaller potential force ratio.
机译:移动粒子半隐式(MPS)方法广泛用于自由表面流动分析。在小规模问题中,表面紧张占主导地位。有两种方法可以在颗粒方法中计算表面张力。一个是基于需要正常矢量的连续式机械机械,曲率计算和曲率计算。但是,它需要复杂的配方。另一个正在引入粒子间势力。已知可以从分子间力推导出表面张力。我们提出粒子的粒​​子力,其潜力类似于分子潜力。我们揭示了这种潜在力与连续式力学中使用的表面张力系数之间的相互关系。可以使用这种粒子势力来计算表面张力。振荡周期大致同意理论值。将接触角与固体壁以及表面张力引入也很重要。颗粒互际力也可用于模拟接触角。流体流体和流体壁之间的潜在力比可以衍生自杨氏等式。使用这种潜在力的理论比例,如果我们提供较小的潜在力比,则出现较大的接触角。

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