Suspension model for blood flow through catheterized curved artery with time-variant overlapping stenosis

This paper is concerned with the analysis of a particle-fluid suspension model for the axi-symmetric flow of blood through curved coaxial tubes where the outer tube with mild overlapping stenosis while the inner tube is uniform rigid representing catheter. The governing equations written in rectangular toroidal coordinates and the problem is formulated using a perturbation expansion in terms of a variant of curvature parameter to obtain explicit forms for the axial velocities of fluid and particulate phases, the stream function, the resistance impedance, pressure drop and the wall shear stress distribution also the results were studied for various values of the physical parameters, such as the curvature parameter ε, the radius of catheter σ, the volume fraction density of the particles C, the taper angle ϕ and the maximum height of stenosis δ∗. The obtained results show that there is a significant deference between curvature and non-curvature annulus flows through catheterized stenosed arteries. This study provides a scope for estimating the influence of the problem parameters on different flow characteristics and to ascertain which of the parameters has the most dominating role.