Study of magnetic blood flow through a curved vessel with a stenosis and aneurysm: An explicit finite difference approach

Document Type : Original Paper


1 Department of Mathematics, Faculty of Basic Science, Shahid Shamsipour Technical College, Technical and Vocational University, Tehran, Iran

2 Department of Mathematics, Faculty of Basic Science, Central branch of Islamic Azad University, Tehran, Iran


We carried out an analysis to investigate the effect of magnetic field on the pulsatile blood flow characteristics in a tapered artery. The main reason for considering the magnetic field in the presented model is that the blood flow conducts electricity and it is experimentally proved that the streaming of the blood flow can be affected significantly in the presence of the magnetic field. To simulate the realistic conditions of the human body, the artery wall has been assumed to be tapered and elastic with a combination of stenosis and aneurysm. The considered non-Newtonian model is characterized by the Cross fluid to describe the rheology of the blood flow. The governing PDE is solved numerically by utilizing the finite difference method. The effects of distinct parameters including aneurysm, stenosis, pulsatile nature of the blood flow and magnetic field on the blood flow velocity, volumetric flow rate and resistance impedance are presented by their representation graphs.


Main Subjects

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