Stability analysis of non-Newtonian blood flow conveying hybrid magnetic nanoparticles as target drug delivery in presence of inclined magnetic field and thermal radiation: Application to therapy of cancer

Abstract

Targeted drug delivery is one of the promising applications for cancer diagnosis and therapy, as magnetic nanoparticles can be used as therapeutic agents in presence of thermal radiation, and an inclined magnetic field. This article therefore aims to perform the stability analysis of the blood flow considered as a non-Newtonian Casson fluid transporting two types of magnetic nanoparticles, namely hematite and magnetite through an anisotropic porous artery. Starting from the Navier-Stokes equations to which the energy and Maxwell equations are added, a set of two eigenvalue equations governing the stability of the flow are obtained and solved numerically by the spectral collocation method. The impacts of different parameters such as volume fraction of magnetic nanoparticles, strouhal number, Casson, permeability, mechanical anisotropy, wave number, Hartmann number, direction of magnetic field and thermal radiation parameters on the stability of non-hybrid and hybrid suspensions are shown. The results show that the infusion of magnetic nanoparticles in the blood increases its inertia, which dampens the disturbances and delays the transition in the flow of the suspension. The Casson and mechanical anisotropy parameters maintain the instabilities which precipitate the nanoparticles and allow the flow to take place effortlessly in the horizontal direction. The wave number, Strouhal number and the permeability parameter have stabilizing effects on the dynamics of the two suspensions which prevents the approximation between the magnetic nanoparticles, thus avoiding the phenomenon of sedimentation of the nanoparticles in the blood vessels which would arise if the flow becomes turbulent. The direction of the magnetic field controls the flow by increasing the intensity of the Lorentz force. The magnetic field through the Lorentz force absorbs the kinetic energy of the flow which dampens the disturbances and thus prevents the transition in the flow. Thermal radiation dissipates temperature fluctuations which increases the volume of magnetic nanoparticles in the area where tumor tissue is located. The results have an important influence in medicine for the treatment of cancerous disease and arterial disease without the need for surgery, with can minimize the expenditures and post-surgical complications in patients.