SCI和EI收录∣中国化工学会会刊

中国化学工程学报 ›› 2022, Vol. 41 ›› Issue (1): 230-245.DOI: 10.1016/j.cjche.2021.11.017

• Fluid Dynamics and Transport Phenomena • 上一篇    下一篇

External mass transfer from/to a single sphere in a nonlinear uniaxial extensional creeping flow

Anjun Liu1, Jie Chen2,3, Moshe Favelukis4, Meng Guo1, Meihong Yang1, Chao Yang2,3, Tao Zhang5, Min Wang5, Hao-yue Quan5   

  1. 1 Qilu University of Technology (Shandong Academy of Sciences), Shandong Computer Science Center(National Supercomputer Center in Jinan), Jinan 250101, China;
    2 CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
    3 School of Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, China;
    4 Department of Chemical Engineering, Shenkar College of Engineering and Design, Ramat-Gan, 5252626, Israel;
    5 Dynamic Machinery Institute of Inner Mongolia, Inner Mongolia, Hohhot 010010, China
  • 收稿日期:2021-06-22 修回日期:2021-11-09 出版日期:2022-01-28 发布日期:2022-02-25
  • 通讯作者: Jie Chen,E-mail address:jchen@ipe.ac.cn;Meng Guo,E-mail address:guomeng@sdas.org;Chao Yang,E-mail address:chaoyang@ipe.ac.cn
  • 基金资助:
    This paper is dedicated to Prof. Jiayong Chen at Institute of Process Engineering, Chinese Academy of Sciences. The authors are very grateful to Prof. Jiayong Chen for his support and helpful insight. This work was supported by the National Key Research and Development Program (2021YFC2902502), the National Natural Science Foundation of China (21938009, 91934301, 22078320), the Major Scientific and Technological Innovation Projects in Shandong Province (2019JZZY010302), the Shandong Key Research and Development Program (International Cooperation Office) (2019GHZ018), the Shandong Province Postdoctoral Innovative Talents Support Plan (SDBX2020018), the External Cooperation Program of BIC, Chinese Academy of Sciences (122111KYSB20190032), Chemistry and Chemical Engineering Guangdong Laboratory (1922006), and GHfund B(202107021062).

External mass transfer from/to a single sphere in a nonlinear uniaxial extensional creeping flow

Anjun Liu1, Jie Chen2,3, Moshe Favelukis4, Meng Guo1, Meihong Yang1, Chao Yang2,3, Tao Zhang5, Min Wang5, Hao-yue Quan5   

  1. 1 Qilu University of Technology (Shandong Academy of Sciences), Shandong Computer Science Center(National Supercomputer Center in Jinan), Jinan 250101, China;
    2 CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
    3 School of Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, China;
    4 Department of Chemical Engineering, Shenkar College of Engineering and Design, Ramat-Gan, 5252626, Israel;
    5 Dynamic Machinery Institute of Inner Mongolia, Inner Mongolia, Hohhot 010010, China
  • Received:2021-06-22 Revised:2021-11-09 Online:2022-01-28 Published:2022-02-25
  • Contact: Jie Chen,E-mail address:jchen@ipe.ac.cn;Meng Guo,E-mail address:guomeng@sdas.org;Chao Yang,E-mail address:chaoyang@ipe.ac.cn
  • Supported by:
    This paper is dedicated to Prof. Jiayong Chen at Institute of Process Engineering, Chinese Academy of Sciences. The authors are very grateful to Prof. Jiayong Chen for his support and helpful insight. This work was supported by the National Key Research and Development Program (2021YFC2902502), the National Natural Science Foundation of China (21938009, 91934301, 22078320), the Major Scientific and Technological Innovation Projects in Shandong Province (2019JZZY010302), the Shandong Key Research and Development Program (International Cooperation Office) (2019GHZ018), the Shandong Province Postdoctoral Innovative Talents Support Plan (SDBX2020018), the External Cooperation Program of BIC, Chinese Academy of Sciences (122111KYSB20190032), Chemistry and Chemical Engineering Guangdong Laboratory (1922006), and GHfund B(202107021062).

摘要: This work systematically simulates the external mass transfer from/to a spherical drop and solid particle suspended in a nonlinear uniaxial extensional creeping flow. The mass transfer problem is governed by three dimensionless parameters: the viscosity ratio (λ), the Peclet number (Pe), and the nonlinear intensity of the flow (E). The existing mass transfer theory, valid for very large Peclet numbers only, is expanded, by numerical simulations, to include a much larger range of Peclet numbers (1 ≤ Pe ≤ 105). The simulation results show that the dimensionless mass transfer rate, expressed as the Sherwood number (Sh), agrees well with the theoretical results at the convection-dominated regime (Pe > 103). Only when E > 5/4, the simulated Sh for a solid sphere in the nonlinear uniaxial extensional flow is larger than theoretical results because the theory neglects the effect of the vortex formed outside the particle on the rate of mass transfer. Empirical correlations are proposed to predict the influence of the dimensionless governing parameters (λ, Pe, E) on the Sherwood number (Sh). The maximum deviations of all empirical correlations are less than 15% when compared to the numerical simulated results.

关键词: External mass transfer, Nonlinear extensional flow, Sphere, Empirical correlation

Abstract: This work systematically simulates the external mass transfer from/to a spherical drop and solid particle suspended in a nonlinear uniaxial extensional creeping flow. The mass transfer problem is governed by three dimensionless parameters: the viscosity ratio (λ), the Peclet number (Pe), and the nonlinear intensity of the flow (E). The existing mass transfer theory, valid for very large Peclet numbers only, is expanded, by numerical simulations, to include a much larger range of Peclet numbers (1 ≤ Pe ≤ 105). The simulation results show that the dimensionless mass transfer rate, expressed as the Sherwood number (Sh), agrees well with the theoretical results at the convection-dominated regime (Pe > 103). Only when E > 5/4, the simulated Sh for a solid sphere in the nonlinear uniaxial extensional flow is larger than theoretical results because the theory neglects the effect of the vortex formed outside the particle on the rate of mass transfer. Empirical correlations are proposed to predict the influence of the dimensionless governing parameters (λ, Pe, E) on the Sherwood number (Sh). The maximum deviations of all empirical correlations are less than 15% when compared to the numerical simulated results.

Key words: External mass transfer, Nonlinear extensional flow, Sphere, Empirical correlation