Numerical way out through finite volume method for Navier-Stokes type blood flow inside stenosed curved arteries

Abstract

This article explores the intricate fluid dynamics within stenosed curved arteries, focusing on Newtonian or viscous fluids' incompressible, two-dimensional, and time-independent flow. The modeled Navier-Stokes equations in curvilinear coordinates are solved numerically through the finite volume method by using open foam, and exact solutions are also computed after using the assumptions of mild stenosis. The flow inside a stenosed curved artery having computational results through FVM is the main achievement of the present work. We have included 2D and 3D graphics depicting pressure gradient, velocity distribution, and shear stress for physical visualization. This helps provide a clear understanding of the physical circumstances exhibited in the analysis. This work contributes significantly to biomechanics by unraveling the intricacies of fluid flow in stenosed curved arteries. The combination of numerical simulations, exact solutions, and visual representations enhances our understanding of the underlying physical phenomena, paving the way for further advancements in cardiovascular research and clinical applications. These visual representations serve as crucial tools for physical visualization, enhancing the interpretability of the complex flow patterns observed in the analysis.