Numerical Simulation of Non-Newtonian Blood Flow in A Three-Dimensional Non-Planar Bifurcation with Stenosis

Document Type : Research Article

Authors

Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

Abstract

In the present study, numerical simulation of the steady blood flow through the carotid artery with a non-planar geometry model and considering mild (20%), moderate (50%), and severe (80%) occlusion was performed. In this research, the shear-thinning behavior of the blood fluid is incorporated by the Carreau–Yasuda model, and the viscoplasticity of blood was ignored. Furthermore, concentric and eccentric geometries were considered for stenosis. By comparing the non-Newtonian and Newtonian viscosity results, significant differences were found in the secondary flow lines. Shear-thinning behavior affects the secondary flow lines so that the vortices are either not formed or are smaller in size in the middle of the stenosis and subsequent sections. Moreover, axial velocity profiles in the non-planar branch decreased by increasing stenosis percentage, and in estimating the maximum wall shear stress, the Newtonian model had a significant error compared to the non-Newtonian one, and the estimated values by the Newtonian model were less than the non-Newtonian in most cases (up to 37% for an 80% stenosis). In addition, variation of velocity and shear rate caused by stenosis reveals the importance of the non-Newtonian model in calculating streamlines and velocity magnitudes. Plus, as the percentage of stenosis increased, the vessel's curvature effect, which causes the velocity field to deviate to the inner wall, decreased.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 53, Issue 9
December 2021
Pages 4865-4886

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