The Application of Computational Fluid Dynamics (CFD) Method and Several Rheological Models of Blood Flow: A Review
Yıl 2018,
Cilt: 31 Sayı: 4, 1213 - 1227, 01.12.2018
Esmaeel Fatahıan
,
Naser Kordanı
Hossein Fatahıan
Öz
Computational fluid dynamics (CFD) method
can be applied for gaining insights to
the most fluid processes and related phenomena. Applying CFD method in the investigation of
physiological flows especially blood is one of the interesting topics for many researchers. Because of its
significant effect on various human
cardiovascular diseases and arterial diseases, extended knowledge of blood flow
in physiological conditions is required. This review provided an overview of
recent studies on the application of CFD method of blood flow inside the
corkscrew artery, arterial stenoses, human patient-specific left ventricle and
arteries affected by multiple aneurysms. Also, several rheological models for
describing the blood rheology were discussed. Based on this review, it was
concluded that the application of CFD method can help the medical practitioners
in the patients’ treatment decision in the investigation of blood flow
Kaynakça
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Yıl 2018,
Cilt: 31 Sayı: 4, 1213 - 1227, 01.12.2018
Esmaeel Fatahıan
,
Naser Kordanı
Hossein Fatahıan
Kaynakça
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- [17] Maurits, N. M., Loots, G. E., & Veldman, A. E. P., “The influence of vessel walls elasticity and peripheral resistance on the carotid artery flow wave form: a CFD model compared to in vivo ultrasound measurements”, Journal of biomechanics, 40(2), 427-436, (2007).
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- [21] Schumann, C., M. Neugebauer, R. Bade, B. Preim, and Peitgen, H., “Implicit vessel surface reconstruction for visualization and CFD simulation”, International Journal of Computer Assisted Radiology and Surgery, 2(5), 275-286, (2008).
- [22] Sousa, L. C., C. F. Castro, and Antonio, C., “Blood flow simulation and applications”, Technologies for medical sciences, 3, 67-86, (2012).
- [23] Chen, J., X. Y. Lu, and Wang W., “Non-Newtonian effects of blood flow on hemodynamics in distal vascular graft anastomoses”, Journal of Biomechanics, 39(11), 1983-1995, (2006).
- [24] Molla, M. Mamun, and Paul M. C., “LES of non-Newtonian physiological blood flow in a model of arterial stenosis”, Medical engineering & physics, 34(8), 1079-1087, (2012).
- [25] Fan, Y., W. Jiang, Y. Zou, J. Li, J. Chen, and Deng X., “Numerical simulation of pulsatile non-Newtonian flow in the carotid artery bifurcation”, Acta Mechanica Sinica, 25(2), 249-255, (2009).
- [26] Johnston, B. M., P. R. Johnston, S. Corney, and Kilpatrick D., “Non-Newtonian blood flow in human right coronary arteries: transient simulations”, Journal of biomechanics, 39(6), 1116-1128, (2006).
- [27] Kim, Y. H., P. J. VandeVord, and Lee, J. S., “Multiphase non‐Newtonian effects on pulsatile hemodynamics in a coronary artery”, International journal for numerical methods in fluids, 58(7), 803-825, (2008).
- [28] Vajravelu, K., S. Sreenadh, P. Devaki, and Prasad, K., “Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube”, Open Physics, 9(5), 1357-1365, (2011).
- [29] Pontrelli, G., “Blood flow through a circular pipe with an impulsive pressure gradient”, Mathematical Models and Methods in Applied Sciences, 10(2), 187-202, (2000).
- [30] Das, B., G. Enden, and Popel A. S., “Stratified multiphase model for blood flow in a venular bifurcation”, Annals of biomedical engineering, 25(1), 135-153, (1997).
- [31] Hundertmark-Zaušková, A., and Lukáčová-Medvid’ová M., “Numerical study of shear-dependent non-Newtonian fluids in compliant vessels”, Computers & Mathematics with Applications, 60(3), 572-590, (2010).
- [32] Lou, Z., and Yang W. J., “A computer simulation of the non-Newtonian blood flow at the aortic bifurcation”, Journal of biomechanics, 26(1), 37-49, (1993).
- [33] Zueco, J., and Bég O. A., “Network numerical simulation applied to pulsatile non-Newtonian flow through a channel with couple stress and wall mass flux effects”, International Journal of Applied Mathematics and Mechanics, 5(2), 1-16, (2009).
- [34] Marcinkowska-Gapińska, A., J. Gapinski, W. Elikowski, F. Jaroszyk, and Kubisz L., “Comparison of three rheological models of shear flow behavior studied on blood samples from post-infarction patients”, Medical & biological engineering & computing, 45(9), 837-844, (2007).
- [35] Bodnár, T., A. Sequeira, and Prosi. M., “On the shear-thinning and viscoelastic effects of blood flow under various flow rates”, Applied Mathematics and Computation, 217(11), 5055-5067, (2011).
- [36] Augier, F., O. Masbernat, and Guiraud, P., “Slip velocity and drag law in a liquid‐liquid homogeneous dispersed flow”, AIChE journal, 49(9), 2300-2316, (2003).
- [37] Bessonov, N., A. Sequeira, S. Simakov, Y. Vassilevskii, and Volpert, V., “Methods of blood flow modelling”, Mathematical modelling of natural phenomena, 11(1), 1-25, (2016).
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