Abstract
The present work analyzes the non-Newtonian nature of blood flow through a stenosed artery by utilizing the Rabinowitsch fluid model. We explored the pseudoplastic nature of Rabinowitsch fluid as the blood has the shear-thinning characteristic. The artery is affected by various shapes (bell shape, W shape, elliptical shape) and multiple stenoses. It has permeable wall and slip effects on the boundary. The governing equations of the flow are processed in dimensionless form along with the assumptions of mild stenosis and solved analytically. A detailed graphical analysis of the analytically attained solution is provided. It is found that the flow velocity gets higher values in the narrowed region, and it overgrows in the stenotic region. Its behavior depicted near the axis of the channel reverses in the vicinity of the arterial wall for slip parameter and Darcy number. The local sensitivity analysis is utilized to assess the influence of significant physical parameters on the flow velocity. The slip parameter has a more substantial impact, and stenosis height has a more negligible effect on the flow velocity. The Darcy number is more effective than stenosis height and less influential than the slip parameter. The streamlines split into the contours in the stenotic region close to the boundary. The size of contours diminishes for a quick flow and increases for growing stenosis height and higher Darcy number. These contours have various shapes depending upon the shape of stenosis.