Study on the packed volume and the void ratio of idealized human red blood cells using a finite-discrete element method

doi:10.1007/s10483-019-2473-6

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (5): 737-750.doi: https://doi.org/10.1007/s10483-019-2473-6

• 论文 • 上一篇

Study on the packed volume and the void ratio of idealized human red blood cells using a finite-discrete element method

Dong XU¹, Chunning JI¹, A. MUNJIZA², E. KALIVIOTIS³, E. AVITAL², J. WILLAMS^1,2

1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
2. School of Engineering & Material Science, Queen Mary University of London, Mile End Rd., London E1 4NS, U. K;
3. Faculty of Engineering and Technology, Cyprus University of Technology, Limassol 3041, Cyprus

收稿日期:2018-06-27 修回日期:2018-10-25 出版日期:2019-05-01 发布日期:2019-05-01
通讯作者: Chunning JI E-mail:cnji@tju.edu.cn
基金资助:
Project supported by the Engineering and Physical Sciences Research Council (EPSRC) Turbulence Consortium Grant (No. EP/G069581/1) and the Marie Curie International Incoming Fellowship (No. PIIF-GA-253453)

Study on the packed volume and the void ratio of idealized human red blood cells using a finite-discrete element method

Dong XU¹, Chunning JI¹, A. MUNJIZA², E. KALIVIOTIS³, E. AVITAL², J. WILLAMS^1,2

1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
2. School of Engineering & Material Science, Queen Mary University of London, Mile End Rd., London E1 4NS, U. K;
3. Faculty of Engineering and Technology, Cyprus University of Technology, Limassol 3041, Cyprus

Received:2018-06-27 Revised:2018-10-25 Online:2019-05-01 Published:2019-05-01
Contact: Chunning JI E-mail:cnji@tju.edu.cn
Supported by:
Project supported by the Engineering and Physical Sciences Research Council (EPSRC) Turbulence Consortium Grant (No. EP/G069581/1) and the Marie Curie International Incoming Fellowship (No. PIIF-GA-253453)

摘要/Abstract

摘要： Numerical simulations are performed to examine the packing behavior of human red blood cells (RBCs). A combined finite-discrete element method (FDEM) is utilized, in which the RBCs are modeled as no-friction and no-adhesion solid bodies. The packed volume and the void ratio of a large number of randomly packed RBCs are clarified, and the effects of the RBC shape, the mesh size, the cell number, and the container size are investigated. The results show that the packed human RBCs with normal shape have a void ratio of 28.45%, which is slightly higher than that of the flat or thick cells used in this study. Such information is beneficial to the further understanding on the geometric features of human RBCs and the research on RBC simulations.

关键词: generalized potential, non-inertial reference frame, nonholonomic nonpotential system, Gauss’s variational principle, Noether’s theorem, Noether’s inverse theorem, red blood cell (RBC), packed volume, discrete element method, void ratio

Abstract: Numerical simulations are performed to examine the packing behavior of human red blood cells (RBCs). A combined finite-discrete element method (FDEM) is utilized, in which the RBCs are modeled as no-friction and no-adhesion solid bodies. The packed volume and the void ratio of a large number of randomly packed RBCs are clarified, and the effects of the RBC shape, the mesh size, the cell number, and the container size are investigated. The results show that the packed human RBCs with normal shape have a void ratio of 28.45%, which is slightly higher than that of the flat or thick cells used in this study. Such information is beneficial to the further understanding on the geometric features of human RBCs and the research on RBC simulations.

Key words: generalized potential, non-inertial reference frame, nonholonomic nonpotential system, Gauss’s variational principle, Noether’s theorem, Noether’s inverse theorem, void ratio, packed volume, discrete element method, red blood cell (RBC)

中图分类号:

92C05

Dong XU, Chunning JI, A. MUNJIZA, E. KALIVIOTIS, E. AVITAL, J. WILLAMS. Study on the packed volume and the void ratio of idealized human red blood cells using a finite-discrete element method[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(5): 737-750.

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Study on the packed volume and the void ratio of idealized human red blood cells using a finite-discrete element method

Study on the packed volume and the void ratio of idealized human red blood cells using a finite-discrete element method

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