Mathematical Studies of non-Newtonian Blood Flow through a Patient-Specific Atherosclerotic Artery

Flow in an atherosclerotic vessel is a much-researched topic for over half a century, however very little is known while passing through a re-alistic vessel. A Mathematical model of blood flow through IVUS-VH (Intravascular ultrasound-virtual histology) derived patient-specific artery under stenotic condition has been developed. The flowing blood in this patient-specific arterial lumen is considered as the Gen-eralised Newtonian fluid. The non-linear coupled governing equa-tions of motion accompanied by appropriate choice of the initial and boundary conditions are solved numerically by MAC (Marker and Cell) method satisfying suitable stability conditions. Simulated re-sults exhibited through their graphical representations predict the dimensionless pressure drop is less for Newtonian model than its non -Newtonian counterpart and the severity of the roughness contributes much to the number and length of the flow separation regions in an atherosclerotic vessel. (c) 2023 L&H Scientific Publishing, LLC. All rights reserved.