Numerical evaluation of virtual mass force coefficient of single solid particles in acceleration

doi:10.1016/j.cjche.2021.11.014

中国化学工程学报 ›› 2022, Vol. 41 ›› Issue (1): 210-219.DOI: 10.1016/j.cjche.2021.11.014

• Fluid Dynamics and Transport Phenomena • 上一篇下一篇

Numerical evaluation of virtual mass force coefficient of single solid particles in acceleration

Zai-Sha Mao¹, Chao Yang^1,2

1 CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2021-07-22 修回日期:2021-11-24 出版日期:2022-01-28 发布日期:2022-02-25
通讯作者: Zai-Sha Mao,E-mail address:zsmao@ipe.ac.cn
基金资助:
This work was financially supported by the National Key Research and Development Program (2020YFA0906804), the National Natural Science Foundation of China (22035007, 91934301), External Cooperation Program of BIC, Chinese Academy of Sciences (122111KYSB20190032), and Chemistry and Chemical Engineering Guangdong Laboratory, Shantou (No. 1922006).

Numerical evaluation of virtual mass force coefficient of single solid particles in acceleration

Zai-Sha Mao¹, Chao Yang^1,2

1 CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2021-07-22 Revised:2021-11-24 Online:2022-01-28 Published:2022-02-25
Contact: Zai-Sha Mao,E-mail address:zsmao@ipe.ac.cn
Supported by:
This work was financially supported by the National Key Research and Development Program (2020YFA0906804), the National Natural Science Foundation of China (22035007, 91934301), External Cooperation Program of BIC, Chinese Academy of Sciences (122111KYSB20190032), and Chemistry and Chemical Engineering Guangdong Laboratory, Shantou (No. 1922006).

摘要/Abstract

摘要： Virtual mass force is an indispensable component in the momentum balance involved with dispersed particles in a multiphase system. In this work the accelerating motion of a single solid particle is mathematically formulated and solved using the vorticity-stream function formulation in an orthogonal curvilinear coordinate system. The total drag coefficient was evaluated from the numerical simulation in a range of the Reynolds number (Re) from 10 to 200 and the dimensionless acceleration (A) between 2.0 to 2.0. The simulation demonstrates that the total drag is heavily correlated with A, and large deceleration even drops the drag force to a negative value. It is found that the value of virtual mass force coefficient (C_V) of a spherical particle is a variable in a wide range and difficult to be correlated with A and Re. However, the total drag coefficient (C_DV) is successfully correlated as a function of Re and A, and it increases as A is increased. The proposed correlation of total drag coefficient may be used for simulation of solid–liquid flow with better accuracy.

关键词: Total drag coefficient, Virtual mass force, Solid particle, Numerical simulation, Vorticity-stream function formulation

Abstract: Virtual mass force is an indispensable component in the momentum balance involved with dispersed particles in a multiphase system. In this work the accelerating motion of a single solid particle is mathematically formulated and solved using the vorticity-stream function formulation in an orthogonal curvilinear coordinate system. The total drag coefficient was evaluated from the numerical simulation in a range of the Reynolds number (Re) from 10 to 200 and the dimensionless acceleration (A) between 2.0 to 2.0. The simulation demonstrates that the total drag is heavily correlated with A, and large deceleration even drops the drag force to a negative value. It is found that the value of virtual mass force coefficient (C_V) of a spherical particle is a variable in a wide range and difficult to be correlated with A and Re. However, the total drag coefficient (C_DV) is successfully correlated as a function of Re and A, and it increases as A is increased. The proposed correlation of total drag coefficient may be used for simulation of solid–liquid flow with better accuracy.

Key words: Total drag coefficient, Virtual mass force, Solid particle, Numerical simulation, Vorticity-stream function formulation

Zai-Sha Mao, Chao Yang. Numerical evaluation of virtual mass force coefficient of single solid particles in acceleration[J]. 中国化学工程学报, 2022, 41(1): 210-219.

Zai-Sha Mao, Chao Yang. Numerical evaluation of virtual mass force coefficient of single solid particles in acceleration[J]. Chinese Journal of Chemical Engineering, 2022, 41(1): 210-219.

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Numerical evaluation of virtual mass force coefficient of single solid particles in acceleration

Numerical evaluation of virtual mass force coefficient of single solid particles in acceleration

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