Solute dispersion of Hershel-Bulkley fluid through an inclined artery

Abstract

Different types of arteries in the human body possess inclinations that impact blood flow behavior and affect the effectiveness of medical treatments, such as intra-arterial injections that rely on accessing the bloodstream through these arteries. Hence, this present study analyses the behavior of blood flow and solute dispersion in an inclined artery while considering the Herschel-Bulkley model representing the blood rheology to investigate the influence of arterial inclination. The solutions for flow velocity and solute concentration are solved using the integration method. The Taylor-Aris method has been implemented to obtain effective axial and relative axial diffusion. This research investigates the impact of artery inclination on blood flow, solute dispersion characteristics (flow velocity, solute concentration, and axial diffusions), as well as explores the influence of gravitational acceleration on blood flow and solute dispersion behaviors. Results show that the angle of artery inclination directly influences the gravitational acceleration effect which correlates to the resulting flow velocity and solute dispersion. 90o and 270o inclination angle has the highest effect in increasing and decreasing the flow velocity, solute concentration and diffusions respectively. Meanwhile, 0o, 180o and 360o eliminate the gravitational acceleration effect on the flow behavior and dispersion process.