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A new analytical solution for agglomerate growth undergoing Brownian coagulation

机译：布朗凝聚过程中团聚体生长的新分析解决方案

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摘要

We proposed a new analytical solution for a population balance equation for fractal-like agglomerates. The new analytical solution applies to agglomerates with any mass fractal dimensions. Two well-known numerical methods, including the Taylor-series expansion method of moments and the quadrature method of moments, were selected as references. The reliability of the analytical solution with three mass fractal dimensions of 1.0, 2.0, and 3.0 in the continuum-slip regime was verified. The accuracy of the new analytical solution is affected by both the Knudsen number and the mass fractal dimension. The new analytical solution can be further improved in accuracy by introducing a correction factor to the originally derived mathematical formula. The new analytical solution was finally confirmed to possess potential for replacing the numerical solution in the continuum-slip regime.
机译：我们为分形状团聚体的人口平衡方程提出了一种新的解析解。新的分析解决方案适用于任何质量分数维的团块。选择了两种著名的数值方法，包括矩量的泰勒级数展开法和矩量的正交方法，作为参考。验证了在连续滑移状态下具有三个质量分形维数1.0、2.0和3.0的分析溶液的可靠性。新分析解决方案的准确性受克努森数和质量分形维数的影响。通过将校正因子引入最初导出的数学公式，可以进一步提高新的分析解决方案的准确性。最终证实了新的解析解具有取代连续滑态数值解的潜力。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第10期|5497-5509|共13页
  • 作者

    Mingzhou Yu; Yueyan Liu; Guodong Jin; Hanhui Jin;

  • 作者单位

    China Jiliang University, Hangzhou 310028, China,The State Key Laboratory of Nonlinear Mechanics, Chinese Academy of Sciences, Beijing 100090, China,Zhejiang University, Hangzhou, China (HH) China Jiliang University, Hangzhou, China;

    China Jiliang University, Hangzhou 310028, China;

    The State Key Laboratory of Nonlinear Mechanics, Chinese Academy of Sciences, Beijing 100090, China;

    Institute of Fluid Engineering, Zhejiang University, Hangzhou 310017, China;

  • 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
  • 关键词

    Agglomerate; Population balance equation; Analytical solution; Brownian coagulation; Continuum-slip regime;

    机译：凝聚;人口平衡方程;分析溶液;布朗凝血;连续滑移制度;

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