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首页> 外文期刊>Applied Mathematical Modelling >Exact and approximate expressions for resistance coefficients of a colloidal sphere approaching a solid surface at intermediate Reynolds numbers
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Exact and approximate expressions for resistance coefficients of a colloidal sphere approaching a solid surface at intermediate Reynolds numbers

机译：在中间雷诺数下接近固体表面的胶体球的阻力系数的精确和近似表达式

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摘要

A mathematical model has been developed to describe the force of liquid flow acting on a colloidal spherical particle as it approaches a solid surface at intermediate-Reynolds-number-flow regime. The model has incorporated bispherical coordinates to determine a stream function for the flow disturbed by the sphere. The stream function was then used to derive the flow force on the particle as a function of the inter-surface separation distance. The force equation was related to the modified Stokes equation to obtain an exact analytical expression for the correction factor to the Stokes law. Finally, a rational approximation is presented, which is in good agreement with the exact numerical result, and can be readily applied to more general particle-surface interactions involving short-range hydrodynamics associated with colloidal particles in the near vicinity of a large solid collector surface at intermediate Reynolds number of the supporting flow.
机译：已经开发出数学模型来描述当液体在中间雷诺数流动状态下接近固体表面时作用在胶体球形颗粒上的液体的作用力。该模型已合并双球坐标，以确定球体干扰的流的流函数。然后使用流函数得出表面间分离距离的函数，作用在粒子上的流动力。力方程与修改后的Stokes方程相关，以获得针对Stokes律的校正因子的精确解析表达式。最后，提出了一个合理的近似值，它与精确的数值结果很好地吻合，并且可以容易地应用于涉及大的固体收集器表面附近的与胶体粒子相关的短程流体动力学的更一般的粒子-表面相互作用。在中间雷诺数的支持流。

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  • 来源
    《Applied Mathematical Modelling》 |2007年第4期|p.763-769|共7页
  • 作者

    Anh V. Nguyen; Geoffrey M. Evans;

  • 作者单位

    Discipline of Chemical Engineering, School of Engineering, The University of Newcastle University Drive, Callaghan NSW 2308, Australia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 应用数学;
  • 关键词

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