Abstract
In this article, a numerical analysis of blood (i.e. non-Newtonian nano-fluid) flow through a curved stenosed channel having an aneurysm has been presented. The diseases, stenosis and aneurysms are two common abnormalities that occurred within the lumen of the blood vessels. The blood thinning/thickening nature is also inherited mathematically using a constitutive relation such as the Sisko fluid model. The mathematical formulation of the current physical system is derived. In addition, the curvature effects of the geometry are inserted in the mathematical equation in such a way that the given analysis may be closely related to the actual physical phenomena. We solved a derived couple of non-linear Partial Differential Equations numerically using a well-defined technique of explicit finite difference. The velocity graphs are sketched at various locations of the stenosed channel so that the realistic nature of the blood flow within a curved vessel is portrayed. The cross-sectional blood flow behavior is generated using the streamlined graphs. Various hemodynamics parameters such as flow rates, impedance, and wall shear stress are also calculated. Finally, our results reveal that the non-Newtonian parameters of the blood constitutive equation might be helpful to surgeons in tuning the blood flow velocity while doing surgical procedures.
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