The Effect of Angle of Inclination on the Solute Dispersion of Non-Newtonian Fluid Through an Inclined Artery

Abstract

This study analyses the behaviour of fluid velocity and solute dispersion in an artery when it is inclined to a several angle. Herschel-Bulkley fluid model was considered in representing the blood flow. The method of integration is used in order to obtain the solution for the velocity of the fluid and concentration of the solute. Taylor-Aris method has been implemented to obtain the effective axial diffusivity and relative axial diffusivity. This present work concerns on how the angle of inclination affects the blood flow characteristic in terms of velocity, concentration, effective axial diffusivity and relative axial diffusivity. Other parameters effects such as yield stress, gravitational acceleration and power-law index on the behaviour of the fluid were also investigated and presented by graph representation. Observation shows that the angle of pipe inclination directly influences the gravitational acceleration parameter which correlates to the resulting velocity and concentration of the fluid. and angle of inclination has the highest effect in increasing and decreasing the velocity, concentration and diffusivity respectively. Meanwhile, and eliminates the gravitational acceleration effect on the fluid behaviour and dispersion process. This concluded that the angle of inclination has a strong impact on the fluid behaviour.