Abstract

Unsteady Newtonian fluid flow through stenosed vessels, with lumen of constriction in the range 0–75%, is numerically analyzed. A transient velocity-pressure (UVP) finite element method (FEM) in conjunction with a stable time integration scheme, which monitors the error at every time step and then automatically decides the next time step, is employed in the flow analysis. The influence of the degree of the stenosis on the velocity, pressure and stress fields are thoroughly studied. At all time t, the pressure gradient and the impedence across the stenosis, and the peak wall shear stress are found to be increasingly sensitive to increasing degree of the stenosis. Recirculation regions, varying with time and sensitive to stenosis height are noticed both proximal and distal to the stenosis. In the regions adjacent to the stenosis a spatial and temporal variation in the transverse velocities and the pressure normal to the central axis, owing to the nonlinear effects of the vessel geometry, are noticed.

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