Article Abstract

This study investigates a two-layered mathematical model of blood flow in a stenosed artery, which includes a cosine-shaped constriction to represent the arterial narrowing and a peripheral plasma layer. The model differentiates between the central core region, which contains cellular components, and the peripheral plasma layer, which is devoid of red blood cells. A mathematical derivation of the interface geometry between these two layers captures the intricate interaction brought on by stenosis. In order to get insight into how the peripheral layer affects the dynamics of blood flow overall, numerical analysis is used to assess important hemodynamic parameters as velocity profiles, wall shear stress, and flow resistance. The study highlights the advantages of the proposed model by comparing its results with those of existing models, showcasing its improved accuracy in representing physiological conditions. This work contributes to a deeper understanding of blood flow mechanics in stenosed arteries and offers potential applications in the diagnosis and treatment of cardiovascular diseases.
Keywords: Blood Flow, Stenosed Artery, Two-layered Model, Peripheral Plasma Layer, Cosine-shaped Constriction, Hemodynamic Parameters, Velocity Profiles, Wall Shear Stress, Flow Resistance, Cardiovascular Diseases