Mathematical Analysis of Hall Effect and Hematocrit Dependent Viscosity on Au/GO-Blood Hybrid Nanofluid Flow Through a Stenosed Catheterized Artery with Thrombosis

Abstract

The present paper addresses the rheological perspective of blood flow with the suspension of Au/GO nanoparticles through the curved artery with multiple stenosis and thrombosis. The influences of hematocrit-dependent viscosity and Hall effects are taken into account. The flow is subjected to a strong radial magnetic field. Using the mild stenosis and axi-directional flow assumptions, the governing equations are simplified and then the reduced equations are discretize using the Crank-Nicholson technique to get the tridiagonal systems of equations which are further solved by employing the Tri-diagonal Matrix Algorithm (TDMA) at each time step. The flow patterns are also shown by plotting velocity contours. It has been observed that raising the Hall parameter induces an increase in fluid velocity owing to an increase in collision time or electron frequency, hence assisting fluid flow. Further, Au-GO/blood hybrid nanoparticles have a higher velocity profile than pure blood and unitary nanoparticles. Current findings may have applications in the biomedical field, particularly in imaging techniques like magnetic resonance angiography (MRA), which analyses an image of an artery to detect problems. The current findings are consistent with recent findings in earlier blood flow research studies.