Journal of Computational & Applied Research in Mechanical Engineering (JCARME)

Document Type : Research Paper

Authors

¹ Department of mechanical engineering, Najafabad branch, Islamic Azad University, Najafabad, Iran.

² Department of mechanical engineering, Shahrekord branch, Islamic Azad University, Shahrekord, Iran

https://doi.org/10.22061/jcarme.2019.4628.1561

Abstract

A severe case of stenosis in coronary arteries results in turbulence in the blood flow which may lead to the formation or progression of atherosclerosis. This study investigated the turbulent blood flow in a coronary artery with rigid walls, as well as 80% single and double stenoses on blood flow. A finite element-based software package, ADINA 8.8, was employed to model the blood flow. The hemodynamic parameters of blood, such as the Oscillatory Shear Index (OSI) and the Mean Wall Shear Stress (Mean WSS) were obtained by both k-ε and k-ω turbulence models and then compared. According to the results, the negative pressure predicted by the k-ω turbulence model was several times greater than that by the k-ε turbulence model for both single and double stenoses. This, in turn, leads to the collapse of artery walls and irreparable injuries to the downstream extremity. Furthermore, the k-ω model predicted a larger reverse flow region in the post-stenotic region. In other words, the k-ω turbulence model predicts a larger part of the post-stenotic region to be prone to disease and the k-ε turbulence model predicted a higher rate of plaque growth. Moreover, the k-ω model predicted a much more intense reverse flow region than the k-ε model, which itself can lead to blood pressure disease.

Graphical Abstract

Keywords

dor

20.1001.1.22287922.2020.10.1.14.9

Main Subjects

Fluid Mechanics

References

[1] S Fazli, E Shirani, MR Sadeghi, “Numerical Simulation of LDL Mass Transfer in a Common Carotid Artery under Pulsatile Flows”, Journal of Biomechanics, Vol. 44, pp. 68-76, (2011).

[2] A Razavi, E Shirani, MR Sadeghi, “Numerical Simulation of Blood Pulsatile Flow in a Stenosed Carotid Artery Using Different Rheological Models”, Journal of Biomechanics, Vol. 44, pp. 2021-2030, (2011).

[3] M Jahangiri, M Saghafian, MR Sadeghi, “Numerical simulation of hemodynamic parameters of turbulent and pulsatile blood flow in flexible artery with single and double stenosis”, Journal of Mechanical Science and Technology, Vol. 29, No. 8, pp. 3549-3560, (2015).

[4] KC Ro, SR Hong, “Numerical study on turbulent blood flow in a stenosed artery bifurcation under periodic body acceleration using a modified k-ε model”, Korea-Australia Rheology Journal, Vol. 22, No. 2, pp. 129-139, (2010).

[5] J Lantz, T Ebbers, J Engvall, M Karlsson, “Numerical and experimental assessment of turbulent kinetic energy in an aortic coarctation”, Journal of biomechanics, Vol. 46, No. 11, pp. 1851-1858, (2013).

[6] ZY Li, FP Tan, G Soloperto, NB Wood, XY Xu, JH Gillard, “Flow pattern analysis in a highly stenotic patient-specific carotid bifurcation model using a turbulence model”, Computer methods in biomechanics and biomedical engineering, Vol. 18, No. 10, pp. 1099-1107, (2015).

[7] MA Hye, MC Paul, “A computational study on spiral blood flow in stenosed arteries with and without an upstream curved section”, Applied Mathematical Modelling, Vol. 39, No. 16, pp. 4746-4766, (2015).

[8] R Tabe, F Ghalichi, S Hossainpour, K Ghasemzadeh, “Laminar-to-turbulence and relaminarization zones detection by simulation of low Reynolds number turbulent blood flow in large stenosed arteries”, Bio-medical materials and engineering, Vol. 27, No. 2-3, pp. 119-129, (2016).

[9] MR Sadeghi, Numerical simulation of blood flow in vessels with arterial stenosis considering fluid structure interaction, PhD Thesis, Isfahan university of technology, (2013).

[10] M Jahangiri, M Saghafian, MR Sadeghi, “Numerical study of hemodynamic parameters in pulsatile turbulent blood flow in flexible artery with stenosis”. Annual International Conference on Mechanical Engineering-ISME, Shahid Chamran University, Ahvaz, Iran, pp. 1-5, (2014).

[11] SS Varghese, SH Frankel, “Numerical modeling of pulsatile turbulent flow in stenotic vessels”, Journal of biomechanical engineering, Vol. 125, No. 4, pp. 445-460, (2003).

[12] J Banks, NW Bressloff, “Turbulence modeling in three-dimensional stenosed arterial bifurcations”, Journal of biomechanical engineering, Vol. 129, No. 1, pp. 40-50, (2007).

[13] M Jahangiri, M Saghafian, MR Sadeghi, “Numerical study of turbulent pulsatile blood flow through stenosed artery using fluid-solid interaction”, Computational and mathematical methods in medicine, Vol. 2015, Article ID 515613, pp. 1-10, (2015).

[14] Theory and modeling guide, Volume III: ADINA CFD & FSI, Help of ADINA software, (2011).

[15] ADINA User Manuals, ADINA R&D, Inc, (2011).

[16] SA Ahmed, DP Giddens, “Pulsatile poststenotic flow studies with laser Doppler anemometry” Journal of biomechanics, Vol. 17, No. 9, pp. 695-705, (1984).

[17] F Khalili, P Gamage, HA Mansy, “Verification of Turbulence Models for Flow in a Constricted Pipe at Low Reynolds Number”, arXiv preprint, arXiv:1803.04313, pp. 1-10, (2018).

[18] MR Sadeghi, E Shirani, M Tafazzoli-Shadpour, M Samaee, “The effects of stenosis severity on the hemodynamic parameters-assessment of the correlation between stress phase angle and wall shear stress”, Journal of biomechanics, Vol. 44, No. 15, pp. 2614-2626, (2011).

[19] D Zeng, E Boutsianis, M Ammann, K Boomsma, S Wildermuth, D Poulikakos, “A study on the compliance of a right coronary artery and its impact on wall shear stress”, Journal of biomechanical engineering, Vol. 130, No. 4, Article ID 041014, pp. 1-11, (2008).

[20] M Jahangiri, A Haghani, R Ghaderi, SM Harat, “Effect of Non-Newtonian Models on Blood Flow in Artery with Different Consecutive Stenosis”, International Journal of Advanced Design & Manufacturing Technology, Vol. 11, No. 1, pp. 79-86 , (2018).

[21] M Jahangiri, M Saghafian, MR Sadeghi, “Effects of non-Newtonian behavior of blood on wall shear stress in an elastic vessel with simple and consecutive stenosis”, Biomedical and Pharmacology Journal, Vol. 8, No. 1, pp. 123-131, (2015).

[22] M Jahangiri, M Saghafian, MR Sadeghi, “Effect of six non-Newtonian viscosity models on hemodynamic parameters of pulsatile blood flow in stenosed artery”, Journal of Computational and Applied Research in Mechanical Engineering (JCARME), Vol. 7, No. 10, pp. 199-207, (2018).

[23] M Yadegari, M Jahangiri, “Simulation of non-Uniform Magnetic Field Impact on non-Newtonian and Pulsatile Blood Flow”, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, Vol. 57, No. 1, pp. 86-99, (2019).

[24] B Liu, D Tang, “Influence of distal stenosis on blood flow through coronary serial stenosis: A numerical study”, International Journal of Computational Methods, Vol. 16, No. 3, pp. 1-11, (2019).

[25] HC Han, JK Chesnutt, JR Garcia, Q Liu, Q Wen, “Artery buckling: new phenotypes, models, and applications”, Annals of biomedical engineering, Vol. 41, No. 7, pp. 1399-1410, (2013).

[26] JM Downing, DN Ku, “Effects of frictional losses and pulsatile flow on the collapse of stenotic arteries”, Journal of biomechanical engineering, Vol. 119, No. 3, pp. 317-324, (1997).

[27] D Tang, C Yang, S Kobayashi, DN Ku, “Steady flow and wall compression in stenotic arteries: a three-dimensional thick-wall model with fluid–wall interactions”, Journal of biomechanical engineering, Vol. 123, No. 6, pp. 548-557, (2001).

[28] DN Ku, “Blood flow in arteries”, Annual review of fluid mechanics, Vol. 29, No. 1, pp. 399-434, (1997).

[29] Q Liu, HC Han, “Mechanical buckling of artery under pulsatile pressure”, Journal of biomechanics, Vol. 45, No. 7, pp. 1192-1198, (2012).

[30] DN Ku, BN McCord, “Cyclic stress causes rupture of the atherosclerotic plaque cap”, Circulation, Vol. 88, No. 4, pp. 254-254, (1993).

[31] MS Lee, CH Chen, “Myocardial bridging: an up-to-date review”, The Journal of invasive cardiology, Vol. 27, No. 11, pp. 521-521, (2015).

[32] MT Corban, OY Hung, P Eshtehardi, E Rasoul-Arzrumly, M McDaniel, G Mekonnen, LH Timmins, J Lutz, RA Guyton, H Samady, “Myocardial bridging: contemporary understanding of pathophysiology with implications for diagnostic and therapeutic strategies”, Journal of the American College of Cardiology, Vol. 63, No. 22, pp. 2346-2355, (2014).

[33] EG Frantz, GW Henry, CL Lucas, BA Keagy, ME Lores, E Criado, JI Ferreiro, BR Wilcox, “Characteristics of blood flow velocity in the hypertensive canine pulmonary artery”, Ultrasound in Medicine and Biology, Vol. 12, No. 5, pp. 379-385, (1986).

[34] IV Pivkin, PD Richardson, G Karniadakis, “Blood flow velocity effects and role of activation delay time on growth and form of platelet thrombi”, Proceedings of the National Academy of Sciences, Vol. 103, No. 46, pp. 17164-17169, (2006).

[35] M Tomaszewski, J Małachowski, “Numerical Analysis of the Blood Flow in an Artery with Stenosis”, International Conference of the Polish Society of Biomechanics, Cham, pp. 68-77, (2018).

[36] KP Ivanov, MK Kalinina, YI Levkovich, “Blood flow velocity in capillaries of brain and muscles and its physiological significance”, Microvascular research, Vol. 22, No. 2, pp.143-155, (1981).

[37] PD Richardson, “Effect of blood flow velocity on growth rate of platelet thrombi”, Nature, Vol. 245, No. 5420, pp. 103-104, (1973).

[38] M Schoenhagen, Current Developments in Atherosclerosis Research, Nova Publishers, (2005).

[39] R Ross, L Agius, “The process of atherogenesis-cellular and molecular interaction: from experimental animal models to humans”, Diabetologia, Vol. 35, No. 2, pp. S34-S40, (1992).

[40] Medical Definition of Atherogenesis, Available: 26.07.2018.

[41] J Kolínský, L Nováková, J Adamec, “Pressure drop across a double stenosis”, AIP Conference Proceedings, Vol. 1768. No. 1. (2016).

[42] H Arvidsson, J Karnell, T Moller, “Multiple stenosis of the pulmonary arteries associated with pulmonary hypertension, diagnosed by selective angiocardiography”, Acta radiologica, Vol. 44, No. 3, pp. 209-216, (1955).

[43] Q Zhang, B Gao, Y Chang, “Helical Flow Component of Left Ventricular Assist Devices (LVADs) Outflow Improves Aortic Hemodynamic States”, Medical science monitor: international medical journal of experimental and clinical research, Vol. 24, pp. 869-879, (2018).

[44] JV Oulis, OP Lampri, DK Fytanidis, GD Giannoglou, “Relative residence time and oscillatory shear index of non-Newtonian flow models in aorta”, 10th International Workshop on Biomedical Engineering, IEEE, pp. 1-4, (2011).

[45] M Jahangiri, M Saghafian, MR Sadeghi, “Numerical simulation of non-Newtonian models effect on hemodynamic factors of pulsatile blood flow in elastic stenosed artery”, Journal of Mechanical Science and Technology, Vol. 31, No. 2, pp. 1003-1013, (2017).

[46] D De Wilde, B Trachet, G De Meyer, P Segers, “The influence of anesthesia and fluid-structure interaction on simulated shear stress patterns in the carotid bifurcation of mice”, Journal of biomechanics, Vol. 49, No. 13, pp. 2741-2747, (2016).

[47] FM Box, RJ van der Geest, MC Rutten, JH Reiber, “The influence of flow, vessel diameter, and non-Newtonian blood viscosity on the wall shear stress in a carotid bifurcation model for unsteady flow”, Investigative radiology, Vol. 40, No. 5, pp. 277-294, (2005).

[48] DN Ku, DP Giddens, CK Zarins, S Glagov, “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., Vol. 5, No. 3, pp. 293-302, (1985).

[49] AM Malek, SL Alper, S Izumo, “Hemodynamic shear stress and its role in atherosclerosis”, Jama, Vol. 282, No. 21, pp. 2035-2042, (1999).

[50] J Moradicheghamahi, J Sadeghiseraji, M Jahangiri, “Numerical solution of the Pulsatile, non-Newtonian and turbulent blood flow in a patient specific elastic carotid artery”, International Journal of Mechanical Sciences, Vol. 150, pp. 393-403, (2019).

[51] SZ Zhao, XY Xu, AD Hughes, SA Thom, AV Stanton, B Ariff, Q Long, “Blood flow and vessel mechanics in a physiologically realistic model of a human carotid arterial bifurcation”, Journal of biomechanics, Vol. 33, No. 8, pp. 975-984, (2000).

[52] NA Buchmann, MC Jermy, “Blood flow measurements in idealised and patient specific models of the human carotid artery”, Proceedings of the 14th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, pp. 7-10, (2008).

[53] MO Khan, K Valen-Sendstad, DA Steinman, “Direct numerical simulation of laminar-turbulent transition in a non-axisymmetric stenosis model for Newtonian vs. shear-thinning non-Newtonian rheologies”, Flow, Turbulence and Combustion, Vol. 102, No. 1, pp. 43-72, (2019).

[54] F Khalili, PT Gamage, H Mansy, “Prediction of turbulent shear stresses through dysfunctional bileaflet mechanical heart valves using computational fluid dynamics”, arXiv preprint, arXiv:1803.03361, pp. 1-9, (2018).

[55] F Khalili, PT Gamage, H Mansy, “The Influence of the Aortic Root Geometry on Flow Characteristics of a Bileaflet Mechanical Heart Valve”, arXiv preprint, arXiv:1803.03362, pp. 1-7, (2018).

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