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

Anjun Liu; Jie Chen; Moshe Favelukis; Meng Guo; Meihong Yang; Chao Yang; Tao Zhang; Min Wang; Hao-yue Quan

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

Fluid Dynamics and Transport Phenomena | Updated：2026-01-06

- External mass transfer from/to a single sphere in a nonlinear uniaxial extensional creeping flow
- External mass transfer from/to a single sphere in a nonlinear uniaxial extensional creeping flow
- 中国化学工程学报（英文版） 2022年41卷第1期页码：230-245
- Affiliations：
  
  1. Qilu University of Technology (Shandong Academy of Sciences), Shandong Computer Science Center(National Supercomputer Center in Jinan),Jinan,China,250101
  2. CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences,Beijing,China,100190
  3. School of Chemical Engineering, University of Chinese Academy of Sciences,Beijing,China,100049
  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,China,010010
- Author bio：
- Funds：
- DOI：
  中图分类号：
- 纸质出版：2022
- Accepted：
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Anjun Liu, Jie Chen, Moshe Favelukis, 等. External mass transfer from/to a single sphere in a nonlinear uniaxial extensional creeping flow[J]. 中国化学工程学报（英文版）, 2022,41(1):230-245.

Anjun Liu, Jie Chen, Moshe Favelukis, Meng Guo, Meihong Yang, Chao Yang, Tao Zhang, Min Wang, Hao-yue Quan. External mass transfer from/to a single sphere in a nonlinear uniaxial extensional creeping flow[J]. Chinese Journal of Chemical Engineering, 2022, 41(1): 230-245.
Anjun Liu, Jie Chen, Moshe Favelukis, 等. External mass transfer from/to a single sphere in a nonlinear uniaxial extensional creeping flow[J]. 中国化学工程学报（英文版）, 2022,41(1):230-245. DOI：

Anjun Liu, Jie Chen, Moshe Favelukis, Meng Guo, Meihong Yang, Chao Yang, Tao Zhang, Min Wang, Hao-yue Quan. External mass transfer from/to a single sphere in a nonlinear uniaxial extensional creeping flow[J]. Chinese Journal of Chemical Engineering, 2022, 41(1): 230-245. DOI：

摘要

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 (

)

the Peclet number (

)

and the nonlinear intensity of the flow (

). 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 ≤

≤ 10

). The simulation results show that the dimensionless mass transfer rate

expressed as the Sherwood number (

)

agrees well with the theoretical results at the convection-dominated regime (

). Only when

5/4

the simulated

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 (

) on the Sherwood number (

). The

maximum deviations of all empirical correlations are less than 15% when compared to the numerical simulated results.

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