Simulation of the Separation of Homogeneous Whole Blood in a Spin-up Rotating Cylindrical Container

Document Type : Regular Article

Authors

1 School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai, China

2 Artificial Intelligence Innovation and Incubation Institute, Fudan University, Shanghai, China

3 School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China

4 School of Medicine, Nankai University, Tianjin, China

10.47176/jafm.18.1.2775

Abstract

Centrifugal separation is a highly efficient technique for accelerating the sedimentation of blood constituents in a cylindrical container through high-speed spin-up rotation. Few studies have reported on the separation of different blood constituents from homogeneous mixture of whole blood. In this study, the process through which blood constituent sedimentation occurs in a spin-up rotating cylindrical container is numerically investigated. Whole blood is considered a homogeneous mixture of red blood cells (RBC) and plasma, which are both considered incompressible viscous liquids. The Euler multi-fluid VOF (volume of fluid) model is introduced to simulate the separation of RBCs and plasma. The effects of the rotation speed and the geometric construction of the cylindrical container on the sedimentation and stratification of different blood constituents are studied. A stable interface between the RBC layer and plasma layer forms earlier in a high position. With an increase in the rotation speed, the interface between the RBCs and plasma layers forms more quickly. In the cylindrical container with a helical groove on the outer wall, a stable vortex occurs near the groove, which forces red blood cells to move toward the lower location of the groove, resulting in a conical distribution of the RBC layer and a larger volume fraction of plasma near the exit at the top. This allows for sufficient precipitation of the plasma, improving the separation efficiency.

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Abugattas, C., Aguirre, A., Castillo, E., & Cruchaga, M. (2020). Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models. Applied Mathematical Modelling, 88, 529–549. https://doi.org/10.1016/j.apm.2020.06.066
Akhlaghi, M., Mohammadi, V., Nouri, N. M., Taherkhani, M., & Karimi, M. (2019). Multi-Fluid VoF model assessment to simulate the horizontal air–water intermittent flow. Chemical Engineering Research and Design, 152, 48–59. https://doi.org/10.1016/j.cherd.2019.09.031
Chen, G., Wang, Q., & He, S. (2019). Assessment of an eulerian multi-fluid VOF model for simulation of multiphase flow in an industrial Ruhrstahl–Heraeus degasser. Metallurgical Research & Technology, 116(6), 617. https://doi.org/10.1051/metal/2019049
Dai, W. F., Wu, P., & Liu, G. M. (2021). A two-phase flow approach for modeling blood stasis and estimating the thrombosis potential of a ventricular assist device. The International Journal of Artificial Organs, 44(7), 471–480. https://doi.org/10.1177/0391398820975405
Dill, D. B., & Costill, D. L. (1974). Calculation of percentage changes in volumes of blood, plasma, and red cells in dehydration. Journal of Applied Physiology, 37(2), 247–248. https://doi.org/10.1152/jappl.1974.37.2.247
Ebrahimi, S., & Bagchi, P. (2022). A computational study of red blood cell deformability effect on hemodynamic alteration in capillary vessel networks. Scientific Reports, 12(1), 4304. https://doi.org/10.1038/s41598-022-08357-z
Gijsen, F. J. H. Vosse, F. N. V. D., & Janssen, J. D. (1999). The influence of the non-Newtonian properties of blood on the flow in large arteries: steady flow in a carotid bifurcation model. Journal of Biomechanics, 32(7), 705-713. https://doi.org/10.1016/s0021-9290(99)00014-7
Haghighi, A. R., & Aliashrafi, N. (2018). A mathematical modeling of pulsatile blood flow through a stenosed artery under effect of a magnetic field. Journal of Mathematical Modeling, Online First. https://doi.org/10.22124/jmm.2018.9259.1137
Haghighi, A. R., & Asadi Chalak, S. (2017). Mathematical modeling of blood flow through a stenosed artery under body acceleration. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39(7), 2487–2494. https://doi.org/10.1007/s40430-017-0716-x
Haghighi, A. R., Aliashrafi, N., & Asl, M. S. (2020). An implicit approach to the micropolar fluid model of blood flow under the effect of body acceleration. Mathematical Sciences, 14(3), 269–277. https://doi.org/10.1007/s40096-020-00340-x
Haghighi, A., & Pirhadi, N. (2019). A Numerical study of heat transfer and flow characteristics of pulsatile blood flow in a tapered artery with a combination of stenosis and aneurysm. International Journal of Heat and Technology, 37(1), 11–21. https://doi.org/10.18280/ijht.370102
Han, D., Leibowitz, J. L., Han, L., Wang, S., He, G., Griffith, B. P., & Wu, Z. J. (2022). Computational fluid dynamics analysis and experimental hemolytic performance of three clinical centrifugal blood pumps: Revolution, Rotaflow and CentriMag. Medicine in Novel Technology and Devices, 15, 100153. https://doi.org/10.1016/j.medntd.2022.100153
Huang, J., Lyczkowski, R. W., & Gidaspow, D. (2009). Pulsatile flow in a coronary artery using multiphase kinetic theory. Journal of Biomechanics, 42(6), 743–754. https://doi.org/10.1016/j.jbiomech.2009.01.038
Jung, J., & Hassanein, A. (2008). Three-phase CFD analytical modeling of blood flow. Medical Engineering & Physics, 30(1), 91–103. https://doi.org/10.1016/j.medengphy.2006.12.004
Jung, J., Lyczkowski, R. W., Panchal, C. B., & Hassanein, A. (2006). Multiphase hemodynamic simulation of pulsatile flow in a coronary artery. Journal of Biomechanics, 39(11), 2064–2073. https://doi.org/10.1016/j.jbiomech.2005.06.023
Kannojiya, V., Das, A. K., & Das, P. K. (2021). Simulation of blood as fluid: A review from rheological aspects. IEEE Reviews in Biomedical Engineering, 14, 327–341. https://doi.org/10.1109/RBME.2020.3011182
Li, Y., Wang, H., Xi, Y., Sun, A., Deng, X., Chen, Z., & Fan, Y. (2023). Impact of volute design features on hemodynamic performance and hemocompatibility of centrifugal blood pumps used in ECMO. Artificial Organs, 47(1), 88–104. https://doi.org/10.1111/aor.14384
Ling, Y., Tang, J., & Liu, H. (2021). Numerical investigation of two-phase non-Newtonian blood flow in bifurcate pulmonary arteries with a flow resistant using Eulerian multiphase model. Chemical Engineering Science, 233, 116426. https://doi.org/10.1016/j.ces.2020.116426
Meng, L., Gao, S., Wei, D., Zhao, Q., Cui, B., Shen, Y., & Song, Z. (2023). Particulate flow modelling in a spiral separator by using the Eulerian multi-fluid VOF approach. International Journal of Mining Science and Technology, 33(2), 251-263. https://doi.org/10.1016/j.ijmst.2022.09.016
Parsi, M., Agrawal, M., Srinivasan, V., Vieira, R. E., Torres, C. F., McLaury, B. S., Shirazi, S. A., Schleicher, E., & Hampel, U. (2016). Assessment of a hybrid CFD model for simulation of complex vertical upward gas–liquid churn flow. Chemical Engineering Research and Design, 105, 71–84. https://doi.org/10.1016/j.cherd.2015.10.044
Qiao, Y., Zeng, Y., Ding, Y., Fan, J., Luo, K., & Zhu, T. (2019). Numerical simulation of two-phase non-Newtonian blood flow with fluid-structure interaction in aortic dissection. Computer Methods in Biomechanics and Biomedical Engineering, 22(6), 620–630. https://doi.org/10.1080/10255842.2019.1577398
Schenkel, A., Deville, M. O., Sawley, M. L., Hagmann, P., & Rochat, J. D. (2013). Flow simulation and hemolysis modeling for a blood centrifuge device. Computers & Fluids, 86, 185–198. https://doi.org/10.1016/j.compfluid.2013.06.019
Shonibare, O. Y., & Wardle, K. E. (2015). Numerical investigation of vertical plunging jet using a Hybrid Multifluid–VOF multiphase CFD solver. International Journal of Chemical Engineering, 2015, 1–14. https://doi.org/10.1155/2015/925639
Wu, T., & Feng, J. J. (2013). Simulation of malaria-infected red blood cells in microfluidic channels: Passage and blockage. Biomicrofluidics, 7(4), 044115. https://doi.org/10.1063/1.4817959
Xiao, L., Liu, Y., Chen, S., & Fu, B. (2016). Simulation of deformation and aggregation of two red blood cells in a stenosed microvessel by dissipative particle dynamics. Cell Biochemistry and Biophysics, 74(4), 513–525. https://doi.org/10.1007/s12013-016-0765-2
Yilmaz, F., Kutlar, A. I., & Gundogdu, M. Y. (2011). Analysis of drag effects on pulsatile blood flow in a right coronary artery by using Eulerian multiphase model. Korea-Australia Rheology Journal, 23(2), 89–103. https://doi.org/10.1007/s13367-011-0012-8
Yin, X., Thomas, T., & Zhang, J. (2013). Multiple red blood cell flows through microvascular bifurcations: Cell free layer, cell trajectory, and hematocrit separation. Microvascular Research, 89, 47–56. https://doi.org/10.1016/j.mvr.2013.05.002