Dr. Niyaz Begum
Abstract:
This study presents a free-moving boundary model combined with a boundary iteration method to analyse unsteady viscous flow through stenotic elastic inclined tubes, a configuration highly relevant to physiological blood-flow conditions. The proposed formulation captures the dynamic interaction between the deformable arterial wall and time-dependent flow fields while accounting for gravitational effects introduced by tube inclination. The governing equations are solved in a continuously updated computational domain, where boundary motion is iteratively refined using fluid–wall stress feedback to ensure stability and convergence. The model accurately represents wall deformation, pressure variations, and shear stress patterns within and beyond the stenotic segment. Results demonstrate the method’s capacity to reveal complex flow features—such as recirculation zones, oscillatory shear, and enhanced pressure losses—while offering computational efficiency compared with fully coupled fluid–structure simulations. This approach provides a robust framework for studying haemodynamic behaviour in diseased arterial geometries.
