Application of Magnetic Drag Force in Hybridization of Ag-Cu/Blood flow in a Stenosed Arterial System in Darcian Porous Material: A Finite Difference Scheme

Abstract

Abstract The present article investigates on a hybrid nano-fluid blood flow in an artery having stenosis under the existence of an external magnetic field over a porous medium via numerical approach. Hybridization of silver and copper with blood as the base fluid is taken into consideration. The governing equations of the blood flow model are patterned into partial differential equations which are converted to sets of ordinary differential equation with the assistance of similarity transformation. The primary features of the MHD arterial flow of blood over the porous surface are represented distinctly by representation of the dual solutions acquired for Velocity and fluid Temperature. The impacts of the variables of the bio-fluid with various parameters like Flow parameter (γ), Porosity parameter (Kp), Magnetic drag force (M), Prandtl Number (Pr), Volume fraction of Silver (Φ1) and Volume fraction of Copper (Φ2) are illustrated and explained in detail through graphs using bvp4c solver in MATLAB Software. Numerical overviews of the evaluated results are compared with numerical study of another published earlier in scientific literatures. This study is beneficial in hyperthermia treatments, vasoconstriction phenomenon, lipolysis, nanotechnology-based drug delivery systems, pulsatile flow analysis and movement of simple flow.