Blood flow dynamics and vascular fluid mechanics

The paper explores the application of MATLAB simulations to model fluid dynamics in blood circulation and vascular flow, focusing on analyzing velocity distribution and pressure gradients and the impact of vessel geometry. By employing computational fluid dynamics principles, the research develops and solves mathematical models based on Navier–Stokes equations to simulate blood flow within vascular structures. A key focus is placed on analyzing the role of critical parameters, such as viscosity, pressure gradients, and vascular geometry, in flow patterns and velocity distributions. Various scenarios, including laminar and turbulent flow regimes, are examined using Reynolds number calculations to delineate flow behavior under physiological and pathological conditions. The study incorporates two-dimensional (2D) and three-dimensional (3D) visualizations to represent velocity profiles, pressure distributions, and the impact of wall shear stress on vessel dynamics. Results demonstrate a parabolic velocity profile in laminar flow and significant deviations under altered conditions, such as increased viscosity or narrowing vessel diameters. The findings underscore the importance of precise modeling for understanding circulatory behavior and its implications in diagnosing vascular disorders. This work offers an effective framework for simulating hemodynamics, with potential applications in medical research and the design of therapeutic interventions.