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Year 2025, Volume: 5 Issue: 1, 97 - 116, 31.03.2025
https://doi.org/10.53391/mmnsa.1522021

Abstract

References

  • [1] Pontrelli, G. Pulsatile blood flow in a pipe. Computers & Fluids, 27(3), 367-380, (1998).
  • [2] Gijsen, F.J.H. Modeling of Wall Shear Stress in Large Arteries. Ph.D. Thesis, Technische Universiteit Eindhoven, (1998). [https://doi.org/10.6100/IR510253]
  • [3] Nathan, D.M. Long-term complications of diabetes mellitus. New England Journal of Medicine, 328(23), 1676-1685, (1993).
  • [4] Kannel, W.B. and McGee, D.L. Diabetes and cardiovascular disease: the Framingham study. Jama, 241(19), 2035-2038, (1979).
  • [5] Ishikawa, T., Guimaraes, L.F., Oshima, S. and Yamane, R. Effect of non-Newtonian property of blood on flow through a stenosed tube. Fluid Dynamics Research, 22, 251, (1998).
  • [6] Nichols, W.W., O’Rourke, M., Edelman, E.R. and Vlachopoulos, C. McDonald’s Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles. CRC Press: USA, (2022).
  • [7] Kumar, G., Kumar, H., Mandia, K., Zunaid, M., Ansari, N.A. and Husain, A. Non-Newtonian pulsatile flow through an artery with two stenosis. Materials Today: Proceedings, 46(20), 10793- 10798, (2021).
  • [8] Ahmed, S.A. and Giddens, D.P. Pulsatile poststenotic flow studies with laser Doppler anemometry. Journal of Biomechanics, 17(9), 695-705, (1984).
  • [9] Siouffi, M., Peronneau, P., Wildt, E. and Pelissier, R. Modifications of flow patterns induced by a vascular stenosis. In Proceedings, of Euromech, pp. 73-88, Paris, France, (1977, November).
  • [10] Tu, C., Deville, M., Dheur, L. and Vanderschuren, L. Finite element simulation of pulsatile flow through arterial stenosis. Journal of Biomechanics, 25(10), 1141-1152, (1992).
  • [11] Marshall, I., Zhao, S., Papathanasopoulou, P., Hoskins, P. and Xu, X.Y. MRI and CFD studies of pulsatile flow in healthy and stenosed carotid bifurcation models. Journal of Biomechanics, 37(5), 679-687, (2004).
  • [12] Steinman, D.A., Thomas, J.B., Ladak, H.M., Milner, J.S., Rutt, B.K. and Spence, J.D. Reconstruction of carotid bifurcation hemodynamics and wall thickness using computational fluid dynamics and MRI. Magnetic Resonance in Medicine, 47(1), 149-159, (2002).
  • [13] Seo, T. Hemodynamic characteristics in the human Carreautid artery model induced by blood-arterial wall interactions. International Journal of Biomedical and Biological Engineering, 7(5), 153-158, (2013).
  • [14] Biswas, D. and Laskar, R.B. Steady flow of blood through a stenosed artery: A non-Newtonian fluid model. Assam University Journal of Science & Technology: Physical Sciences and Technology, 7(2), 144-153, (2011).
  • [15] Chaichana, T., Sun, Z. and Jewkes, J. Computation of hemodynamics in the left coronary artery with variable angulations. Journal of Biomechanics, 44(10), 1869-1878, (2011).
  • [16] Dong, J., Sun, Z., Inthavong, K. and Tu, J. Fluid-structure interaction analysis of representative left coronary artery models with different angulations. In Proceedings, Computing in Cardiology 2013, pp. 5-8, Zaragoza, Spain, (2013, September).
  • [17] Van Leeuwen-van Zaane, F., de Bruijn, H.S., Sterenborg, H.J.M.C. and Robinson, D.J. The effect of fluence rate on the acute response of vessel diameter and red blood cell velocity during topical 5-aminolevulinic acid photodynamic therapy. Photodiagnosis and Photodynamic Therapy, 11(2), 71-81, (2014).
  • [18] Botti, L., Paliwal, N., Conti, P., Antiga, L. and Meng, H. Modeling hemodynamics in intracranial aneurysms: Comparing accuracy of CFD solvers based on finite element and finite volume schemes. International Journal for Numerical Methods in Biomedical Engineering, 34(9), e3111, (2018).
  • [19] Eum, T.S., Seo, I.W., Shin, E.T. and Song, C.G. Development and application of a user-friendly general-purpose predictive simulation tool for two-dimensional flow analysis. Environmental Modelling & Software, 163, 105665, (2023).
  • [20] La Porta, G., Leonardi, A., Pirulli, M., Cafaro, F. and Castelli, F. Time-resolved triggering and runout analysis of rainfall-induced shallow landslides. Acta Geotechnica, 19, 1873-1889, (2024).
  • [21] Tabe, R., Ghalichi, F., Hossainpour, S. and Ghasemzadeh, K. 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, 27(2-3), 119-129, (2016).
  • [22] Mahalingam, A., Gawandalkar, U.U., Kini, G., Buradi, A., Araki, T., Ikeda, N. et al. Numerical analysis of the effect of turbulence transition on the hemodynamic parameters in human coronary arteries. Cardiovascular Diagnosis and Therapy, 6(3), 208-220, (2016).
  • [23] Mohd Saat, F.A. and Jaworski, A.J. Numerical predictions of early stage turbulence in oscillatory flow across parallel-plate heat exchangers of a thermoacoustic system. Applied Sciences, 7(7), 673, (2017).
  • [24] Carvalho, V., Rodrigues, N., Lima, R.A. and Teixeira, S.F.C.F. Modeling blood pulsatile turbulent flow in stenotic coronary arteries. International Journal of Biology and Biomedical Engineering, 14(22), 160-168, (2020).
  • [25] Chen, J. and Lu, X.Y. Numerical investigation of the non-Newtonian pulsatile blood flow in a bifurcation model with a non-planar branch. Journal of Biomechanics, 39(5), 818-832, (2006).

Numerical analysis of the three-dimensional model of pulsatile and non-Newtonian blood flow in a carotid artery with local occlusion

Year 2025, Volume: 5 Issue: 1, 97 - 116, 31.03.2025
https://doi.org/10.53391/mmnsa.1522021

Abstract

The analysis of blood flow in blood vessels, particularly in arteries, is a topic with important clinical applications. The blood can undergo a reduction in its viscosity under shear stress, which is called shear thinning. In this study, the effect of the shear thinning of blood is simulated using the Carreau-Yasuda model, neglecting the viscoelastic effects. The purpose of this investigation is to analyze the pulsatile blood flow in a three-dimensional model of the carotid artery and the effects of occlusion using Ansys Fluent. The results obtained in this study show that, compared to Newtonian fluids, non-Newtonian fluids exhibit significant differences in secondary flow patterns and shear flow behavior. Additionally, the axial velocity in the non-planar branch decreases with obstruction. The maximum shear stress of the walls with Newtonian fluid viscosity exhibits a significant error, and the values are lower than those of walls with non-Newtonian viscosity in most cases. In continuation of this research, vessel occlusion models with different occlusion sizes are analyzed. In the case where the outlet of the vessel is narrowed, an increase in velocity is observed in the furcation area. Although the software cannot simulate rupture, occlusion of the vessel at 80\% and 50\% of the internal diameter is analyzed.

References

  • [1] Pontrelli, G. Pulsatile blood flow in a pipe. Computers & Fluids, 27(3), 367-380, (1998).
  • [2] Gijsen, F.J.H. Modeling of Wall Shear Stress in Large Arteries. Ph.D. Thesis, Technische Universiteit Eindhoven, (1998). [https://doi.org/10.6100/IR510253]
  • [3] Nathan, D.M. Long-term complications of diabetes mellitus. New England Journal of Medicine, 328(23), 1676-1685, (1993).
  • [4] Kannel, W.B. and McGee, D.L. Diabetes and cardiovascular disease: the Framingham study. Jama, 241(19), 2035-2038, (1979).
  • [5] Ishikawa, T., Guimaraes, L.F., Oshima, S. and Yamane, R. Effect of non-Newtonian property of blood on flow through a stenosed tube. Fluid Dynamics Research, 22, 251, (1998).
  • [6] Nichols, W.W., O’Rourke, M., Edelman, E.R. and Vlachopoulos, C. McDonald’s Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles. CRC Press: USA, (2022).
  • [7] Kumar, G., Kumar, H., Mandia, K., Zunaid, M., Ansari, N.A. and Husain, A. Non-Newtonian pulsatile flow through an artery with two stenosis. Materials Today: Proceedings, 46(20), 10793- 10798, (2021).
  • [8] Ahmed, S.A. and Giddens, D.P. Pulsatile poststenotic flow studies with laser Doppler anemometry. Journal of Biomechanics, 17(9), 695-705, (1984).
  • [9] Siouffi, M., Peronneau, P., Wildt, E. and Pelissier, R. Modifications of flow patterns induced by a vascular stenosis. In Proceedings, of Euromech, pp. 73-88, Paris, France, (1977, November).
  • [10] Tu, C., Deville, M., Dheur, L. and Vanderschuren, L. Finite element simulation of pulsatile flow through arterial stenosis. Journal of Biomechanics, 25(10), 1141-1152, (1992).
  • [11] Marshall, I., Zhao, S., Papathanasopoulou, P., Hoskins, P. and Xu, X.Y. MRI and CFD studies of pulsatile flow in healthy and stenosed carotid bifurcation models. Journal of Biomechanics, 37(5), 679-687, (2004).
  • [12] Steinman, D.A., Thomas, J.B., Ladak, H.M., Milner, J.S., Rutt, B.K. and Spence, J.D. Reconstruction of carotid bifurcation hemodynamics and wall thickness using computational fluid dynamics and MRI. Magnetic Resonance in Medicine, 47(1), 149-159, (2002).
  • [13] Seo, T. Hemodynamic characteristics in the human Carreautid artery model induced by blood-arterial wall interactions. International Journal of Biomedical and Biological Engineering, 7(5), 153-158, (2013).
  • [14] Biswas, D. and Laskar, R.B. Steady flow of blood through a stenosed artery: A non-Newtonian fluid model. Assam University Journal of Science & Technology: Physical Sciences and Technology, 7(2), 144-153, (2011).
  • [15] Chaichana, T., Sun, Z. and Jewkes, J. Computation of hemodynamics in the left coronary artery with variable angulations. Journal of Biomechanics, 44(10), 1869-1878, (2011).
  • [16] Dong, J., Sun, Z., Inthavong, K. and Tu, J. Fluid-structure interaction analysis of representative left coronary artery models with different angulations. In Proceedings, Computing in Cardiology 2013, pp. 5-8, Zaragoza, Spain, (2013, September).
  • [17] Van Leeuwen-van Zaane, F., de Bruijn, H.S., Sterenborg, H.J.M.C. and Robinson, D.J. The effect of fluence rate on the acute response of vessel diameter and red blood cell velocity during topical 5-aminolevulinic acid photodynamic therapy. Photodiagnosis and Photodynamic Therapy, 11(2), 71-81, (2014).
  • [18] Botti, L., Paliwal, N., Conti, P., Antiga, L. and Meng, H. Modeling hemodynamics in intracranial aneurysms: Comparing accuracy of CFD solvers based on finite element and finite volume schemes. International Journal for Numerical Methods in Biomedical Engineering, 34(9), e3111, (2018).
  • [19] Eum, T.S., Seo, I.W., Shin, E.T. and Song, C.G. Development and application of a user-friendly general-purpose predictive simulation tool for two-dimensional flow analysis. Environmental Modelling & Software, 163, 105665, (2023).
  • [20] La Porta, G., Leonardi, A., Pirulli, M., Cafaro, F. and Castelli, F. Time-resolved triggering and runout analysis of rainfall-induced shallow landslides. Acta Geotechnica, 19, 1873-1889, (2024).
  • [21] Tabe, R., Ghalichi, F., Hossainpour, S. and Ghasemzadeh, K. 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, 27(2-3), 119-129, (2016).
  • [22] Mahalingam, A., Gawandalkar, U.U., Kini, G., Buradi, A., Araki, T., Ikeda, N. et al. Numerical analysis of the effect of turbulence transition on the hemodynamic parameters in human coronary arteries. Cardiovascular Diagnosis and Therapy, 6(3), 208-220, (2016).
  • [23] Mohd Saat, F.A. and Jaworski, A.J. Numerical predictions of early stage turbulence in oscillatory flow across parallel-plate heat exchangers of a thermoacoustic system. Applied Sciences, 7(7), 673, (2017).
  • [24] Carvalho, V., Rodrigues, N., Lima, R.A. and Teixeira, S.F.C.F. Modeling blood pulsatile turbulent flow in stenotic coronary arteries. International Journal of Biology and Biomedical Engineering, 14(22), 160-168, (2020).
  • [25] Chen, J. and Lu, X.Y. Numerical investigation of the non-Newtonian pulsatile blood flow in a bifurcation model with a non-planar branch. Journal of Biomechanics, 39(5), 818-832, (2006).
There are 25 citations in total.

Details

Primary Language English
Subjects Numerical Analysis, Dynamical Systems in Applications
Journal Section Research Articles
Authors

Mansur Mustafaoğlu 0000-0003-2976-0196

İsak Kotçioğlu 0000-0003-1890-772X

Muhammet Kaan Yeşilyurt 0000-0002-7207-1743

Publication Date March 31, 2025
Submission Date July 25, 2024
Acceptance Date February 16, 2025
Published in Issue Year 2025 Volume: 5 Issue: 1

Cite

APA Mustafaoğlu, M., Kotçioğlu, İ., & Yeşilyurt, M. K. (2025). Numerical analysis of the three-dimensional model of pulsatile and non-Newtonian blood flow in a carotid artery with local occlusion. Mathematical Modelling and Numerical Simulation With Applications, 5(1), 97-116. https://doi.org/10.53391/mmnsa.1522021


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