Numerical Methods in Modelling of Red Blood Cellflow Behaviour Through a Specific Stacking Pattern

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OROVWUJE, Paul Stephen
OSAIDE, Stella Eguono

Abstract: The dynamics of red blood cells (RBCs) is one of the major aspects of the cardiovascular system that has been studied intensively in the past few decades. Using computational fluid dynamics, complex nonlinear fluid flows have been modeled. The dynamics of biconcave RBCs are thought to have major influences in cardiovascular diseases and other problems associated with cardiovascular flow behaviour, and the determination of blood rheology and properties. Most reported computational models have been confined to the behaviour of a single RBC in 2-dimensional domains, under physiological flow conditions. This work investigates a particular stacking pattern in analyzing the RBC flow behavior under physiological flow conditions, using the D2Q9 lattice Boltzmann numerical method created using Matlab. Prior to the analysis the Matlab script was benchmarked using the Poiseuille flow and the flow around the cross-section of a cylinder, after which the accuracy of the method used was determined. The benchmarks showed that the lattice Boltzmann code had minimal error. The accuracy was determined using the data obtained from Matlab and a created excel program. It also showed that the lattice Boltzmann method was of the first order, which corresponds with results existing in literatures. The analysis of the stacking pattern showed how RBC flows through the chosen stacking pattern, and the results are shown.

Numerical Methods in Modelling of Red Blood Cellflow Behaviour Through a Specific Stacking Pattern. (2024). International Journal of Latest Technology in Engineering Management & Applied Science, 13(9), 174-187. https://doi.org/10.51583/IJLTEMAS.2024.130918

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References

Chung, T. J. (2010). Computational Fluid Dynamics. In T. J. Chung, Computational Fluid Dynamics. Cambridge: Cambridge University Press. DOI: https://doi.org/10.1017/CBO9780511780066

Chen, S., & Doolen, G. D. (1998). Lattice Boltzmann method for fluid flows. Annual Review of Fluid Mechanics, 30(1), 329-364. DOI: https://doi.org/10.1146/annurev.fluid.30.1.329

Dadvand A, Baghalnezhad M, Mirzaee I, Khoo B. C, and Ghoreishi S. (2014). “An immersed boundary-lattice Boltzmann approach to study the dynamics of elastic membranes in viscous shear flows,” Journal of Computational Science, vol. 5, no. 5, pp. 709–718. DOI: https://doi.org/10.1016/j.jocs.2014.06.006

Hardy, J., & de Pazzis, Y. (1976). Models of lattice gas automata for simulating fluid dynamics. Journal of Statistical Physics, 15(6), 129-148.

Hardy, J., and de Pazzis, O. (1976). Molecular dynamics of a classical lattice gas. In J. Hardy, & O. de Pazzis, Molecular dynamics of a classical lattice gas.

Hess, J. L. (1967). Calculation of Potential Flow About Arbitrary Bodies. In J. L. Hess, Calculation of Potential Flow About Arbitrary Bodies. DOI: https://doi.org/10.1016/0376-0421(67)90003-6

Hess, J., & Smith, A. M. O. (1967). Calculation of potential flow about arbitrary bodies. Journal of Ship Research, 9(2), 22-44. DOI: https://doi.org/10.5957/jsr.1964.8.4.22

Kundu, P. K., Cohen, I. M., & Dowling, D. R. (2015). Fluid Mechanics (6th ed.). Academic Press.

Mohamad, A. A. (2011). Lattice Boltzmann method: Fundamentals and engineering applications with computer codes. Springer. DOI: https://doi.org/10.1007/978-0-85729-455-5

Niclas Berg (2018) Blood flow and cell transport in arteries and medical assist devices. ISBN: 978-91-7873-037-7

Rohde, M. (2004). Extending the lattice Boltzmann method. Delft.

Rohde, C. (2009). Lattice-Boltzmann and finite-difference lattice-Boltzmann methods for fluid dynamics. Elsevier.

Rohde, M. (2009). Cellular Automata. In M. Rohde, Cellular Automata. Delft. walls at the same scale,” Acta Physica Sinica, vol. 63, article 174701, no. 17, 2014 (Chinese).

Skalak, R., Tozeren, A., Zarda, R. P., & Chien, S. (1973). Biophysical strain energy function of red blood cell membranes. Biophysical Journal, 13(9), 245-264. DOI: https://doi.org/10.1016/S0006-3495(73)85983-1

Versteeg, H. K., & Malalasekera, W. (2007). An Introduction to Computational Fluid Dynamics: The Finite Volume Method (2nd ed.). Pearson Education.

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Numerical Methods in Modelling of Red Blood Cellflow Behaviour Through a Specific Stacking Pattern. (2024). International Journal of Latest Technology in Engineering Management & Applied Science, 13(9), 174-187. https://doi.org/10.51583/IJLTEMAS.2024.130918

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