Comparative Study of Effect of Perturbation Parameters on Blood Flow through Stenosed Arteries

The present paper examines theoretically the pulsating flow of two-fluid blood model in a moderately stenotic, constricted artery walls under steady-state accelerations. Herschal-Bulkley fluid refers to the whole erythrocyte suspension in the core regions, whereas non-Newtonian fluid is used to treat the plasma within the peripheral layer region. The method of perturbation is utilized to simplify the result of nonlinear partial differential equations system. We deduce physiological expressions relevant flow parameters: velocity, longitudinal impedance to flow, radius of the plug core, rate of flow, and WSS (Wall Shear Stress). The results of different parameters, such as body acceleration, lead angle, pulsatility peripheral layer width, depth of stenosis, yield stress, and so on, on these flow quantities are analysed using the relevant graphs. The data indicate that the depth of stenosis, lead angle, and increase in yield stress as radius of the plug core increases, WSS, and the longitudinal blood flow impedance. The findings indicate a direct relationship between rate of flow and velocity and the increases in body accelerations, pressure gradient, Reynolds number with pulsation, and thickness of the peripheral layer. Increases in body acceleration and peripheral layer are also found to significantly raise the mean of flow rate and velocity computations.