MHD Pulsatile Blood Flow Through an Inclined Stenosed Artery with Body Acceleration and Slip Effects

Abstract

In this work, the combined effect of slip velocity, pulsatility of the blood flow and body acceleration effect on Newtonian unsteady blood flow past an artery with stenosis and permeable wall is theoretically studied with results discussed. The magnetic field is applied to the stenosed artery with permeable walls which is inclined at a varying angle with the fluid considered to be electrically conducting non-Newtonian elastic-viscous fluid. The momentum equation was transformed from dimensional form to dimensionless form with the Frobenius power series method used to solve the axially symmetric differential momentum equation with suitable boundary conditions. For clarity of the applicability of the study, results was shown graphically with behavior of the blood flow through the artery with stenosis shown for the velocity in the axial direction, blood acceleration, wall shear stress and volumetric flow rate. Results showed that, an increase in the body acceleration Go and pulsatile pressure Pl causes an increase in the blood flow, blood acceleration, shear stress at the artery walls and volumetric flow rate. The increase in the magnetic field M causes a decrease in the blood flow velocity, blood acceleration, shear stress at the artery walls and volumetric flow rate. The increase in the artery inclination ϕ results to an increase in the blood flow velocity, wall shear stress and the volumetric flow rate but an irregular behavior in the blood acceleration while the increase in slip velocity h at the wall decreases the velocity and blood acceleration, while the shear stress at the wall increases and the volumetric flow rate decreases.

Pulsatile nanofluid flow with variable pressure gradient and heat transfer in wavy channel

“…Furthermore, Liu and Liu 21 analyzed blood flow in tapered stenosed arteries under the influence of heat and mass transfer. Amos et al 22 investigated magnetohydrodynamic pulsatile blood flow in an inclined stenosed artery with body acceleration and slip effects. Their results illuminate the intricate relationships between magnetic field intensity and crucial flow parameters, including velocity, acceleration, shear stress, and volumetric flow rate.…”

Treatment and Slip Effect on MHD Blood Flow through a Stenotic Artery: A Mathematical Model

“…Thermal radiation had a mixed effect on the blood flow and heat source increase increased the blood flow which was helpful in treating tumor and low blood pressure as discussed by Omamoke et al [18]. The adoption of Frobenius method and effects of pertinent parameters on the behavior of flow was considered in the research done by Omamoke and Amos [19], Amos et al [20], Amos et al [21], Chinedu and Amadi [22].…”