Modeling of Blood Flow Through a Bifurcated Artery Using Nanofluid

Abstract

A mathematical model for blood flow through a bifurcated artery with mild stenosis in its parent artery is presented by taking blood as a copper suspended nanofluid with water as base fluid. The boundary of bifurcated artery is converted into a well-organized boundary using suitable transformations. The numerical solutions for temperature profiles, flow rate, impedance, and shear stress are found by using the finite difference method. The influence of admissible parameters on physical quantities on both sides of the apex is discussed graphically. It has been noticed that flow rate and impedance have been changed suddenly with the pertinent parameters on both sides of the apex. This occurs because of the backflow of the streaming blood at the onset of the lateral junction and secondary flow near the apex. All these observations on blood flow through bifurcated artery are of medical interest.