Prediction of Pressure Difference and Velocity Profile in Steady Flow through Axi-Symmetric Plaque Deposited Arteries

Abstract

Numerical simulations of blood flow through plaque deposited arteries at different Reynolds numbers have been performed to investigate the impact of atherosclerosis on pressure drop and velocity profile at down stream. The predicated results are presented in terms of non-dimensional pressure isobars and velocity profiles at distinct Reynolds numbers and various levels of deposition at downstream of the artery segment. The scaled non-dimensional graph of pressure drop is also illustrated. The incompressible Navier-Stokes equation in the axi-symmetric frame of reference is solved numerically by employing FEM (Finite Element Method). Semi-implicit Taylor-Galerkin/pressure-correction scheme has been utilised to obtain steady state solutions. The effects of atherosclerosis on hemodynamic factors have been investigated. The results show that blockage disturbs the flow field in the wake of plaque deposited arteries and the trend of pressure and velocity is increasing as level of deposition or Reynolds number increases. The application of this research work can be utilised in the field of cardio vascular disease, design of device and further planning towards treatment.

Keywords

• Numerical Simulation
• Flow of Blood
• Arteries
• Newtonian.