Computational Rheo‐Hydrodynamic Analysis of Non‐Newtonian Blood Flow Through a Tilted Ellipsoidal Stenosed Vascular Segment

The behavior of blood flow in stenosed arteries is crucial for diagnosing cardiovascular diseases and forecasting hemodynamic responses to the complex under physiological conditions. This study considers a straight artery with a tilted ellipsoidal stenosis to investigate flow properties using the DeKee‐Turcotte‐Papanastasiou model. This research is devoted to the joint action of shear rate, relaxation time, and yield stress on velocity, pressure, and temperature distributions of the non‐Newtonian blood flow. Governing equations, including continuity, momentum, and energy equations, are addressed numerically in COMSOL Multiphysics using the Finite Element Method. To achieve correct computation of nonlinear terms, weak formulation analysis is used. It involves the Homotopy Perturbation Method, which is aimed at increasing the convergence and stability of the numerical scheme. The study also examines the change in the cell Reynolds number, kinematic viscosity, dynamic viscosity, and shear rate to explain the behavior of the fluid under various flow regimes. The findings show that the tilted ellipsoidal stenosis produces a considerable change in the structure of the flow, which causes asymmetrical velocity distributions and a high wall shear stress in the throat. The distribution of temperatures is directly proportional to the shear rate and viscous dissipation, indicating that the thermal effects play a vital role in the rheological behavior of blood. Overall, the results contribute to a better comprehension of the intricate dynamics of blood flow in constrained arteries. Practically, these findings provide critical insights for biomedical engineering applications, particularly in predicting plaque rupture risks and designing targeted drug delivery systems for vascular diseases.