Convection Dynamics of Fe3O4 Nanoparticles in Blood Fluid Flow

Abstract

In this paper, the convection dynamics of super paramagnetic iron oxide nanoparticles (MNPs) in blood fluid is studied. The system under consideration consists of a fluid which contains the layer of blood with MNPs having iron oxide core (Fe3O4) nanoparticle which is moving through the cavity of the blood vessel which has depositions of cholesterol on the inner lining. In its passing through the blood vessel it is subjected to external magnetic field and heat. The nonlinear three dimensional governing equations for the system under study are derived from the partial differential equations of conservation of momentum and energy. The effect of magnetic field for Hartman number on the chaotic convection of the MNPs in blood fluid is studied using phase portrait, time series and stability analysis. It is assumed that a minimum magnetic field is necessary to stabilise the convection of the MNPs to regulate its flow in specific directions so that the drug can be delivered to specific locations by magnetic dragging. Rectangular cavity structure is considered for the study based on non-uniform cholesterol deposition. It is observed that with magnetisation by external applied magnetic field the convection of MNPs are stabilised in a particular direction. This indicates towards the growing utilization as contrast agents in non-invasive imaging technique of magnetic resonance imaging (MRI) and magnetic drug delivery (MDD).