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两异径湿球颗粒间静态液桥力的近似解析公式及数值评测
Approximate analytical formula and numerical evaluation of static liquid bridge force between two wet balls of different radii
投稿时间:2021-08-20  修订日期:2021-10-25
DOI:
中文关键词:  液桥  毛细力  异径球颗粒  接触角
英文关键词:Liquid bridge  Capillary force  Particles of different radii  Contact angle
基金项目:中央高校基本科研业务费专项资金项目"固沙插草阻力影响因素及其机理的DEM数值与试验研究"
作者单位邮编
李艳洁 北京林业大学 工学院 100083
邱洋平 北京林业大学 工学院 
徐泳 中国农业大学 理学院 
黄文彬 中国农业大学 理学院 
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中文摘要:
      针对异径球形湿颗粒间液桥力,以Young-Laplace公式为基础,结合环形近似法并引入等效半径,在宽松设定的条件下推导出了简化的近似解析公式。此公式形式简洁,且当两球半径相等时,可回归到pitoisPitois等径球液桥力公式。本文对此近似解析公式进行参数敏感度分析,发现随着颗粒间距的增大,液桥力对颗粒半径的敏感度降低。此外,将本文近似解析公式与他人的实验和理论结果进行对比发现:该近似解析公式与上述实验和数值结果相当吻合,表明该近似解析公式可以较准确地计算接触角较小时的异径球颗粒间的液桥力,因而适于湿颗粒系统的数值模拟。
英文摘要:
      For the liquid bridge force between spherical wet particles of different radii, based on Young-Laplace formula, combined with toroidal approximation method and introducing harmonic radius, a simplified approximate analytical formula is derived under loose setting conditions. This formula is simple in form, and when the radii of the two balls are equal, it can be regressed to the Pitois liquid bridge force formula between equal radii balls. It is found that the sensitivity of liquid bridge force to particle radius decreases with the increase of distance between two particles. In addition, by comparing the approximate analytical formula with the experimental and theoretical results of others, it is found that the approximate analytical formula is quite consistent with the above experimental and numerical results, which shows that the approximate analytical formula can accurately calculate the liquid bridge force between spherical particles of different radii with small contact angles, so it is applicable for the numerical simulation of wet particle system.
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