The internal circulations on internal mass transfer rate of a single drop in nonlinear uniaxial extensional flow

doi:10.1016/j.cjche.2022.12.003

Chinese Journal of Chemical Engineering ›› 2023, Vol. 59 ›› Issue (7): 51-60.DOI: 10.1016/j.cjche.2022.12.003

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The internal circulations on internal mass transfer rate of a single drop in nonlinear uniaxial extensional flow

Anjun Liu¹, Jie Chen², Meng Guo^1,3, Chengmin Chen³, Meihong Yang¹, Chao Yang²

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. Jinan Key Laboratory of High Performance Industrial Software, Jinan Institute of Supercomputer Technology, Jinan 251013, China

Received:2022-08-24 Revised:2022-11-24 Online:2023-10-14 Published:2023-07-28
Contact: Jie Chen,E-mail:jchen@ipe.ac.cn;Meng Guo,E-mail:guomeng@sdas.org;Chao Yang,E-mail:chaoyang@ipe.ac.cn
Supported by:
This work was supported by the National Key Research and Development Program of China (2021YFC2902502); the National Natural Science Foundation of China (22078320, 22035007), the NSFC-EU project (31961133018); the Shandong Provincial Key Research and Development Program (2022CXGC020106); the Shandong Key Research and Development Program (International Cooperation Office) (2019GHZ018); the Shandong Province Postdoctoral Innovative Talents Support Plan (SDBX2020018) and the External Cooperation Program of BIC, Chinese Academy of Sciences (122111KYSB20190032). We would like to thank Professor M. Favelukis for helpful discussions regarding the application of velocity field.

The internal circulations on internal mass transfer rate of a single drop in nonlinear uniaxial extensional flow

Anjun Liu¹, Jie Chen², Meng Guo^1,3, Chengmin Chen³, Meihong Yang¹, Chao Yang²

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. Jinan Key Laboratory of High Performance Industrial Software, Jinan Institute of Supercomputer Technology, Jinan 251013, China

通讯作者: Jie Chen,E-mail:jchen@ipe.ac.cn;Meng Guo,E-mail:guomeng@sdas.org;Chao Yang,E-mail:chaoyang@ipe.ac.cn
基金资助:
This work was supported by the National Key Research and Development Program of China (2021YFC2902502); the National Natural Science Foundation of China (22078320, 22035007), the NSFC-EU project (31961133018); the Shandong Provincial Key Research and Development Program (2022CXGC020106); the Shandong Key Research and Development Program (International Cooperation Office) (2019GHZ018); the Shandong Province Postdoctoral Innovative Talents Support Plan (SDBX2020018) and the External Cooperation Program of BIC, Chinese Academy of Sciences (122111KYSB20190032). We would like to thank Professor M. Favelukis for helpful discussions regarding the application of velocity field.

Abstract

Abstract: The internal flow of a droplet in the nonlinear extensional flow field will exhibit more than two internal circulations with the variation of nonlinear intensity (E). In this paper, the effect of positions and sizes of internal circulations on internal mass transfer rate of a single spherical droplet in a nonlinear extensional flow field is studied and compared with that in a linear extensional flow field. The simulation results show that when E ≥ 0, there are two symmetrical internal circulations in the droplet, which is the same with that in a linear extensional flow. The limit value of mass transfer rate Sh is 15, which is equal to that in a linear extensional flow, no matter how large E is. When E ≤ -3/7, the number of internal flow circulation of a droplet increase to four and the transfer rate Sh increases. When E = -1, the maximum internal transfer rate Sh equals 30 which is twice of that in a linear extensional flow. The generation of new flow circulations in droplets and the circulation positions will enhance mass transfer when E ≤ -3/7, which provides a new idea for enhancing the internal mass transfer rate of droplets.

Key words: Internal mass transfer, Nonlinear extensional flow field, Spherical droplet, Internal circulations

摘要： The internal flow of a droplet in the nonlinear extensional flow field will exhibit more than two internal circulations with the variation of nonlinear intensity (E). In this paper, the effect of positions and sizes of internal circulations on internal mass transfer rate of a single spherical droplet in a nonlinear extensional flow field is studied and compared with that in a linear extensional flow field. The simulation results show that when E ≥ 0, there are two symmetrical internal circulations in the droplet, which is the same with that in a linear extensional flow. The limit value of mass transfer rate Sh is 15, which is equal to that in a linear extensional flow, no matter how large E is. When E ≤ -3/7, the number of internal flow circulation of a droplet increase to four and the transfer rate Sh increases. When E = -1, the maximum internal transfer rate Sh equals 30 which is twice of that in a linear extensional flow. The generation of new flow circulations in droplets and the circulation positions will enhance mass transfer when E ≤ -3/7, which provides a new idea for enhancing the internal mass transfer rate of droplets.

关键词: Internal mass transfer, Nonlinear extensional flow field, Spherical droplet, Internal circulations

Anjun Liu, Jie Chen, Meng Guo, Chengmin Chen, Meihong Yang, Chao Yang. The internal circulations on internal mass transfer rate of a single drop in nonlinear uniaxial extensional flow[J]. Chinese Journal of Chemical Engineering, 2023, 59(7): 51-60.

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The internal circulations on internal mass transfer rate of a single drop in nonlinear uniaxial extensional flow

The internal circulations on internal mass transfer rate of a single drop in nonlinear uniaxial extensional flow

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