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2022 | OriginalPaper | Chapter

Comparative Study of Rheological Models for Pulsatile Blood Flow in Realistic Aortic Arch Aneurysm Geometry by Numerical Computer Simulation

Authors : M. L. F. Silva, S. D. F. Gonçalves, M. C. B. Costa, R. Huebner

Published in: XXVII Brazilian Congress on Biomedical Engineering

Publisher: Springer International Publishing

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Abstract

In numerical simulations of blood flow in the aorta, shear rates tend to be higher than 100 s\(^{-1}\), making blood behave as a Newtonian fluid, with constant dynamic viscosity. This study proposes a comparative analysis via computational fluid dynamics (CFD) of the Newtonian, Carreau-Yasuda, Power-Law and Casson rheological models for a realistic geometry of the aortic arch obtained by computed tomography (CT) and adapted with an aneurysm. It has been shown that there are instants of time throughout the cardiac cycle in which the blood exhibits non-Newtonian behavior. This behavior leads to a considerable variation in the dynamic viscosity that can influence the flow hemodynamics. It was also possible to detect that the effective viscosity varies over the cardiac cycle, including the Newtonian model, which suggests that the turbulent viscosity is variable. In general, the Carreau-Yasuda and Power-Law models show similar behavior, whereas the Casson model tends to be more closely to the Newtonian model.

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Literature
1.
go back to reference Irgens F (2014) Rheology and non-newtonian fluids. Springer Irgens F (2014) Rheology and non-newtonian fluids. Springer
2.
go back to reference Chandran Krishnan B, Rittgers Stanley E, Yoganathan Ajit P (2012) Biofluid mechanics: the human circulation. CRC Press Chandran Krishnan B, Rittgers Stanley E, Yoganathan Ajit P (2012) Biofluid mechanics: the human circulation. CRC Press
3.
go back to reference Shibeshi Shewaferaw S, Collins William E (2005) The rheology of blood flow in a branched arterial system. Appl Rheol 15:398–405CrossRef Shibeshi Shewaferaw S, Collins William E (2005) The rheology of blood flow in a branched arterial system. Appl Rheol 15:398–405CrossRef
4.
go back to reference Arzani A (2018) Accounting for residence-time in blood rheology models: do we really need non-Newtonian blood flow modelling in large arteries? J Royal Soc Interface 15:20180486CrossRef Arzani A (2018) Accounting for residence-time in blood rheology models: do we really need non-Newtonian blood flow modelling in large arteries? J Royal Soc Interface 15:20180486CrossRef
5.
go back to reference Karimi S, Dabagh M, Vasava P, Dadvar M, Dabir B, Jalali P (2014) Effect of rheological models on the hemodynamics within human aorta: CFD study on CT image-based geometry. J Non-Newtonian Fluid Mech 207:42–52CrossRef Karimi S, Dabagh M, Vasava P, Dadvar M, Dabir B, Jalali P (2014) Effect of rheological models on the hemodynamics within human aorta: CFD study on CT image-based geometry. J Non-Newtonian Fluid Mech 207:42–52CrossRef
6.
go back to reference Bilgi C, Atalık K (2019) Numerical investigation of the effects of blood rheology and wall elasticity in abdominal aortic aneurysm under pulsatile flow conditions. Biorheology 56:51–71CrossRef Bilgi C, Atalık K (2019) Numerical investigation of the effects of blood rheology and wall elasticity in abdominal aortic aneurysm under pulsatile flow conditions. Biorheology 56:51–71CrossRef
7.
8.
go back to reference Razavi A, Shirani E, Sadeghi MR (2011) Numerical simulation of blood pulsatile flow in a stenosed carotid artery using different rheological models. J Biomech 44:2021–2030CrossRef Razavi A, Shirani E, Sadeghi MR (2011) Numerical simulation of blood pulsatile flow in a stenosed carotid artery using different rheological models. J Biomech 44:2021–2030CrossRef
9.
go back to reference Steinman DA (2012) Assumptions in modelling of large artery hemodynamics. In: Modeling of physiological flows. Springer, pp 1–18 Steinman DA (2012) Assumptions in modelling of large artery hemodynamics. In: Modeling of physiological flows. Springer, pp 1–18
10.
go back to reference Molla MM, Paul MC (2012) LES of non-newtonian physiological blood flow in a model of arterial stenosis. Med Eng Phys 34:1079–1087CrossRef Molla MM, Paul MC (2012) LES of non-newtonian physiological blood flow in a model of arterial stenosis. Med Eng Phys 34:1079–1087CrossRef
11.
go back to reference Morbiducci U, Gallo D, Massai D et al (2011) On the importance of blood rheology for bulk flow in hemodynamic models of the carotid bifurcation. J Biomech 44:2427–2438CrossRef Morbiducci U, Gallo D, Massai D et al (2011) On the importance of blood rheology for bulk flow in hemodynamic models of the carotid bifurcation. J Biomech 44:2427–2438CrossRef
12.
go back to reference Alastruey J, Xiao N, Fok H, Schaeffter T, Alberto FC (2016) On the impact of modelling assumptions in multi-scale, subject-specific models of aortic haemodynamics. J Royal Soc Interface 13:20160073CrossRef Alastruey J, Xiao N, Fok H, Schaeffter T, Alberto FC (2016) On the impact of modelling assumptions in multi-scale, subject-specific models of aortic haemodynamics. J Royal Soc Interface 13:20160073CrossRef
13.
go back to reference McHale MP, Friedman JR, Karian J (2009) Standard for verification and validation in computational fluid dynamics and heat transfer. Am Soc Mech Eng ASME V&V. 2009:20–2009 McHale MP, Friedman JR, Karian J (2009) Standard for verification and validation in computational fluid dynamics and heat transfer. Am Soc Mech Eng ASME V&V. 2009:20–2009
14.
go back to reference Gonçalves SF, Lucas TC, Haniel J, Silva MLF, Huebner R, Viana EMF (2019) Comparison of different rheological models for computational simulation of blood flow in central venous access. 25th ABCM international congress of mechanical engineering. Uberlândia, Brasil, pp 1–9 Gonçalves SF, Lucas TC, Haniel J, Silva MLF, Huebner R, Viana EMF (2019) Comparison of different rheological models for computational simulation of blood flow in central venous access. 25th ABCM international congress of mechanical engineering. Uberlândia, Brasil, pp 1–9
15.
go back to reference Bovik Wang Z, Alan C, Sheikh Hamid R, Simoncelli Eero P (2004) Image quality assessment: from error visibility to structural similarity. IEEE Trans Image Proc 13:600–612CrossRef Bovik Wang Z, Alan C, Sheikh Hamid R, Simoncelli Eero P (2004) Image quality assessment: from error visibility to structural similarity. IEEE Trans Image Proc 13:600–612CrossRef
Metadata
Title
Comparative Study of Rheological Models for Pulsatile Blood Flow in Realistic Aortic Arch Aneurysm Geometry by Numerical Computer Simulation
Authors
M. L. F. Silva
S. D. F. Gonçalves
M. C. B. Costa
R. Huebner
Copyright Year
2022
DOI
https://doi.org/10.1007/978-3-030-70601-2_6