2020/05/10 by Fatima Abbas, Abbas, Fatima, Ayman Mourad +1
Chemical Engineering · Engineering · Medicine · #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Cardiovascular Health and Disease Prevention #Coronary Interventions and Diagnostics #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Numerical Analysis (math.NA) #Rheology and Fluid Dynamics Studies #Tissues and Organs (q-bio.TO)
paper · pdf · doi:10.48550/arxiv.2005.07014
openalex publication_date 2020/05/10 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In this paper, we present a mathematical and numerical model for blood\nsolidification and its rupture in stenosed arteries. The interaction between\nthe blood flow and an existing stenosis in the arterial wall is modeled as a\nthree dimensional fluid-structure interaction problem. The blood is assumed to\nbe a non-Newtonian incompressible fluid with a time-dependent viscosity that\nobeys a modified Carreau's model and the flow dynamics is described by the\nNavier-Stokes equations. Whereas, the arterial wall is considered a\nhyperelastic material whose displacement satisfies the quasi-static equilibrium\nequations. Numerical simulations are performed using FreeFem++ on a two\ndimensional domain. We investigate the behavior of the viscosity of blood, its\nspeed and the maximum shear stress. From the numerical results, blood\nrecirculation zones have been identified. Moreover, a zone of the blood of high\nviscosity and low speed has been observed directly after the stenosis in the\nflow direction. This zone may correspond to a blood accumulation and then\nsolidification zone that is subjected to shear stress by the blood flow and to\nforces exerted by the artery wall deformation. Therefore, this zone is thought\nto break and then to release a blood clot that leads to the occlusion of small\narterioles.\n