Characterizing Blood Flow in Constricted Radially Non-Symmetric Multiple Stenosed Arteries: A Herschek-Bulkley Fluid Model Approach

Shabab Akbar

Abstract: This work delves into the study of blood flow in a complex scenario: a two-dimensional model of a constricted, radially non-symmetric, multiple stenosed artery. Blood, in this case, is modeled as a Herschek-Bulkley fluid, with its behavior governed by the generalized form of the Navier-Stokes equation. The set of expressions have derived for various blood flow characteristics, including resistance to flow and wall shear stress. Specifically, these characteristics have investigated at points of maximum depression within a single loop stenosis. The findings revealed that as the height of stenosis increases, the resistance to flow also increases. Additionally, it was observed that wall shear stress increases with axial velocity for higher values of the stenosis shape parameter. This research sheds light on the intricate dynamics of blood flow in complex arterial geometries, providing insights that could be valuable for understanding and potentially treating conditions related to arterial stenosis.

Keywords: Herschek-Bulkley fluid, Arterial stenosis, Navier-Stokes equation, Radially non-symmetric, Multiple stenoses, Resistance to flow, Wall shear stress, Stenosis shape parameter