This study presents a numerical simulation methodology for investigating blood flow in veins and arteries using a computational approach. The simulation is based on the Navier-Stokes equations, discretization techniques, and finite difference methods. The aim of this research is to provide insights into the behavior of blood flow under simplified conditions, enabling a better understanding of the underlying fluid dynamics. The methodology incorporates steady-state flow assumptions and a 2D geometry, making it suitable for initial explorations of blood flow patterns in a controlled environment. However, it is important to note that the model’s assumptions limit its applicability to real-world scenarios, and additional considerations such as pulsatile flow, arterial compliance, and non-Newtonian viscosity should be incorporated for more accurate simulations.
Cite this paper
Amenya, R. O. , Chuckravanen, D. , Sigey, J. K. and Maloiy, G. M. O. (2024). Numerical Simulation of Blood Flow in Veins and Arteries: A Computational Approach. Open Access Library Journal, 11, e1640. doi: http://dx.doi.org/10.4236/oalib.1111640.
Chiu, J. and Chien, S. (2011) Effects of Disturbed Flow on Vascular Endothelium: Pathophysiological Basis and Clinical Per-spectives. Physiological Reviews, 91, 327-387. https://doi.org/10.1152/physrev.00047.2009
Ku, D.N., Giddens, D.P., Zarins, C.K. and Glagov, S. (1985) Pulsatile Flow and Atherosclerosis in the Human Carotid Bifurcation. Positive Correlation between Plaque Location and Low Oscillating Shear Stress. Arteriosclerosis: An Official Journal of the American Heart Association, Inc., 5, 293-302. https://doi.org/10.1161/01.atv.5.3.293
Buxton, B.F., Zhang, X. and Cox, C.S. (2007) Non-Newtonian Behavior of Human Blood Revisited: Steady Shear Rheometry from Atherosclerosis to Thrombosis. Biorheology, 44, 123-135.
Les, A.S., Shadden, S.C., Figueroa, C.A., Park, J.M., Tedesco, M.M., Herlong, J.R. and Feola, A. J. (2010) Computational Hemodynamics in Cerebral Aneurysms: The Effects of Modeling Techniques on Pressure and Flow. American Journal of Neuroradiology, 31, 1701-1708.
Taylor, C.A., Hughes, T.J.R. and Zarins, C.K. (1998) Finite Element Modeling of Blood Flow in Arteries. Computer Methods in Applied Mechanics and Engineering, 158, 155-196. https://doi.org/10.1016/s0045-7825(98)80008-x
Wootton, D.M. and Ku, D.N. (1999) Fluid Mechanics of Vascular Systems, Diseases, and Thrombosis. Annual Review of Biomedical Engineering, 1, 299-329. https://doi.org/10.1146/annurev.bioeng.1.1.299
Formaggia, L., Lamponi, D., Tuveri, M. and Veneziani, A. (2006) Numerical Modeling of 1D Arterial Networks Coupled with a Lumped Parameters Description of the Heart. Com-puter Methods in Biomechanics and Biomedical Engineering, 9, 273-288. https://doi.org/10.1080/10255840600857767
Kallemov, B., Moghadam, M.E., Saidi, M.S. and Awbi, H.B. (2016) A Review of Ground Coupled Heat and Moisture Transfer Models for Building Foundations. Applied Thermal Engi-neering, 98, 1261-1271.
Drangova, M., Ford, N.L., Detombe, S.A., Eaton, E., Bottenus, N. and Cain, C.A. (2007) Fast and Accurate 3D Velocity Mapping for Cardiac Flow Applications Using MRI. Magnetic Resonance Imaging, 25, 1045-1053.
Vorp, D.A., Schiro, B., Ehrlich, M.P., Juvonen, T.S., Ergin, M.A. and Griffith, B.P. (1998) Effect of Aneu-rysm on the Tensile Strength and Biomechanical Behavior of the Ascending Thoracic Aorta. The Annals of Thoracic Surgery, 66, 912-914.
Dinestro, G., Schwalbe, E., Wicker, R., Abbott, W., Carlson, B. and Dietz, H.C. (2014) 3D Printing with Non-Medical Grade Thermoplastics for Cardiovascular Flow Model Manufacturing. Journal of Visualized Experiments, No. 92.
Choi, G., Barbee, K.A. and Tarbell, J.M. (2005) A Numerical Study of Flow-Induced Stresses and Endothelial Cell Transport in a Vascular Bifurcation. Annual Review of Fluid Mechanics, 37, 257-279.
Park, K.W., Lee, K.B., Lee, S.W., Kang, H.J., Lee, S.W., Park, D.W., et al. (2012) Effect of Polymer-Coated Stent Implantation on Flow Dynamics and Drug Distribution: Implications for Drug-Eluting Stent Optimisation. EuroIntervention, 8, 77-85.